Complete Kit Provides Out-of-the-Box Functionality for Real-Time, High-Precision Wavefront Measurement and Control
Kit Includes (See the AO Kit Components tab for Details)
Deformable Mirror (Multi- or Mini-DM)
Shack-Hartmann Wavefront Sensor
All Imaging Optics and Associated Mounting Hardware
Fully Functional Stand-Alone Control Software (Windows XP Compatible)
A Low-Level Support Library to Assist with Tailored Applications Authored by the End User
Preassembled and Pre-Aligned Optomechanical System Minimizes Assembly Time
Continuous DM Capable of Achieving High Spatial Resolution Shapes Due to High Actuator Count and Low Inter-Actuator Coupling
Electrostatic Actuators Ensure Deformation with Zero Hysteresis
Compact DM Driver Electronics with Built-In High Voltage Power Supply Suitable for Benchtop or OEM Integration
Shack-Hartmann Wavefront Sensor has High Resolution CCD Camera and High-Quality Microlens Array
Choose from a Gold- or Aluminum-Coated Deformable Mirror with either 32 or 140 Electrostatic Actuators
AO Kit Operating Wavelengths: 400 - 1100 nm for Al-Coated DM or 600 - 1100 nm for Au-Coated DM
Full DLL for Customized Applications
Flow Diagram Showing the AO Kit Closed-Loop Correction Mode
Thorlabs offers four Adaptive Optics Kit options, two that incorporate our 140 actuator Multi-DM deformable mirrors and two that incorporate our 32 actuator Mini-DM deformable mirrors. AOK1-UM01 and AOK2-UM01 contain a DM with a gold mirror coating, while AOK1-UP01 and AOK2-UP01 contain a DM with an aluminum mirror coating (Refer to the Graphs tab for coating curve information). When combined with the WFS150-5C wavefront sensor, these kits are designed for use in the 600 - 1100 nm range and the 400 - 1100 nm range, respectively. Regardless of the kit chosen, the three constituent components provide a closed-loop sample rate of 8 Hz when in the correction mode. Although the use of DMs in astronomy is well known, these miniature, precision wavefront control devices are also helping researchers to make breakthroughs in beam forming, microscopy, laser communication, and retinal imaging. To learn more how the wavefront sensor, deformable mirror, and software operate as a closed-loop system to correct wavefront distortion, please see the Tutorial tab or the Adaptive Optics 101 white paper.
Deformable Mirror System: Through a new partnership with Boston Micromachines Corporation (BMC), Thorlabs is pleased to offer BMC's Mini-DM and Multi-DM micromachined deformable mirror systems for advanced optical control as part of these Adaptive Optics Toolkits. Micro-electro-mechanical (MEMS) deformable mirrors are currently the most widely used technology in wavefront shaping applications given their versatility, maturity of technology, and the high resolution wavefront correction that they afford. These popular and versatile deformable mirrors offer sophisticated aberration compensation in easy-to-use packages. The mirror consists of a mirror membrane that is deformed by either 32 electrostatic actuators (i.e., a 6 x 6 actuator array with four inactive corner actuators in the case of the Mini-DM) or 140 electrostatic actuators (i.e., a 12 x 12 actuator array with four inactive corner actuators in the case of the Multi-DM), each of which can be individually controlled. These actuators provide 3.5 μm stroke over a compact area. Unlike piezoelectric mirrors, the electrostatic actuation used with BMC's mirrors ensures deformation without hysteresis. The AOK1-UM01 and AOK2-UM01 kits come with a gold-coated DM while the AOK1-UP01 and AOK2-UP01 kits contain an aluminum-coated -DM. In either case, there is also a protective 6° wedge in front of the mirror, which has a broadband AR coating for the 400-1100 nm range. To learn more about the aberrations that a deformable mirror can correct, please see the Types of Aberrations tab.
Shack-Hartmann Wavefront Sensor: The WFS150-5C Shack-Hartmann wavefront sensor is equipped with a chrome mask microlens array (MLA150-5C) and provides accurate, high-speed wavefront measurements of the beam shape and intensity distribution. This is done by analyzing the location and intensity of spots (spot field) formed by imaging a beam of light onto a CCD with a microlens array in front of it. With Thorlabs' Shack-Hartmann wavefront sensor, it is possible to measure the wavefronts of laser sources, characterize the wavefront aberrations caused by optical components, and provide real-time feedback for the control of the deformable mirror. The Shack-Hartmann Wavefront Sensor consists of a high resolution (1.3 Megapixels) USB 2.0 CCD camera, a microlens array, and analysis software. The full featured control and analysis software has a user-friendly graphical interface with menu-driven tools for camera settings, calibration, analysis, and display options. The wavefront sensor housing features C-Mount threading. To prevent camera saturation, mounted neutral density filters can be threaded into the front of the wavefront sensor using an SM1A9 C-Mount to SM1 adapter. The SM1 thread standard provided by this adapter also accommodates Thorlabs’ lens tubes, which can be used to reduce scattered light and allow for the mounting of additional optical components.
Control Software: A Windows XP compatible control software is included with our AO Kits. Itt is capable of minimizing wavefront aberrations by analyzing the signals from the Shack-Hartmann wavefront sensor and using those signals to determine the appropriate drive signals to send to the deformable mirror actuators so that the mirror can compensate for wavefront aberrations. The control software allows the user to monitor the wavefront corrections and intensity distribution in real time. In addition, user-defined aberrations can be introduced via the software, and wavefront deviations can be compared to this new user-defined reference.
Please consider sharing with us your adaptive optics applications by emailing technicalmarketing@thorlabs.com. We would like to present them on this site.
Depicted here are typical reflectivity plots for aluminum- and gold-coated surfaces (without the protective window) as well as the AR Coating Curve for the protective 5o wedge. The data for the unprotected aluminum and gold coatings was obtain with using unpolarized light that was incident at 45 degrees.
Introduction: Adaptive optics (AO) is a rapidly growing multidisciplinary field encompassing physics, chemistry, electronics, and computer science. AO systems are used to correct (shape) the wavefront of a beam of light. Historically, these systems have their roots in the international astronomy and US defense communities. Astronomers realized that if they could compensate for the aberrations caused by atmospheric turbulence, they would be able to generate high resolution astronomical images; with sharper images comes an additional gain in contrast, which is also advantageous for astronomers since it means that they can detect fainter objects that would otherwise go unnoticed. While astronomers were trying to overcome the blurring effects of atmospheric turbulence, defense contractors were interested in ensuring that photons from their high-power lasers would be correctly pointed so as to destroy strategic targets. More recently, due to advancements in the sophistication and simplicity of AO components, researchers have utilized these systems to make breakthroughs in the areas of femtosecond pulse shaping, microscopy, laser communication, vision correction, and retinal imaging. Although dramatically different fields, all of these areas benefit from an AO system due to undesirable time-varying effects.
Typically, an AO system is comprised from three components: (1) a wavefront sensor, which measures these wavefront deviations, (2) a deformable mirror, which can change shape in order to modify a highly distorted optical wavefront, and (3) real-time control software, which uses the information collected by the wavefront sensor to calculate the appropriate shape that the deformable mirror should assume in order to compensate for the distorted wavefront. Together, these three components operate in a closed-loop fashion. By this, we mean that any changes caused by the AO system can also be detected by that system. In principle, this closed-loop system is fundamentally simple; it measures the phase as a function of the position of the optical wavefront under consideration, determines its aberration, computes a correction, reshapes the deformable mirror, observes the consequence of that correction, and then repeats this process over and over again as necessary if the phase aberration varies with time. Via this procedure, the AO system is able to improve optical resolution of an image by removing aberrations from the wavefront of the light being imaged.
The Wavefront Sensor: The role of the wavefront sensor in an adaptive optics system is to measure the wavefront deviations from a reference wavefront. There are three basic configurations of wavefront sensors available: Shack-Hartmann wavefront sensors, shearing interferometers, and curvature sensors. Each has its own advantages in terms of noise, accuracy, sensitivity, and ease of interfacing it with the control software and deformable mirror. Of these, the Shack-Hartmann wavefront sensor has been the most widely used.
A Shack-Hartmann wavefront sensor uses a lenslet array to divide an incoming beam into a bunch of smaller beams, each of which is imaged onto a CCD camera, which is placed at the focal plane of the lenslet array. If a uniform plane wave is incident on a Shack-Hartmann wavefront sensor (refer to Fig. 1), a focused spot is formed along the optical axis of each lenslet, yielding a regularly spaced grid of spots in the focal plane. However, if a distorted wavefront (i.e., any non-flat wavefront) is used, the focal spots will be displaced from the optical axis of each lenslet. The amount of shift of each spot’s centroid is proportional to the local slope (i.e., tilt) of the wavefront at the location of that lenslet. The wavefront phase can then be reconstructed (within a constant) from the spot displacement information obtained (see Fig. 2).
Figure 1. When a planar wavefront is incident on the Shack-Hartmann wavefront sensor's microlens array, the light imaged on the CCD sensor will display a regularly spaced grid of spots. If, however, the wavefront is aberrated, individual spots will be displaced from the optical axis of each lenslet; if the displacement is large enough, the image spot may even appear to be missing. This information is used to calculate the shape of the wavefront that was incident on the microlens array.
Figure 2. Two Shack-Hartmann wavefront sensor screen captures are shown: the spot field (left-hand frame) and the calculated wavefront based on that spot field information (right-hand frame).
The four parameters that greatly affect the performance of a given Shack-Hartmann wavefront sensor are the number of lenslets (or lenslet diameter, which typically ranges from ~100 – 600 μm), dynamic range, measurement sensitivity, and the focal length of the lenslet array (typical values range from a few millimeters to about 30 mm). The number of lenslets restricts the maximum number of Zernike coefficients that a reconstruction algorithm can reliably calculate; studies have found that the maximum number of coefficients that can be used to represent the original wavefront is approximately the same as the number of lenslets. When selecting the number of lenslets needed, one must take into account the amount of distortion s/he is trying to model (i.e., how many Zernike coefficients are needed to effectively represent the true wave aberration). When it comes to measurement sensitivity θmin and dynamic range θmax, these are competing specifications (see Fig. 3 below). The former determines the minimum phase that can be detected while the latter determines the maximum phase that can be measured.
A Shack-Hartmann sensor’s measurement accuracy (i.e., the minimum wavefront slope that can be measured reliably) depends on its ability to precisely measure the displacement of a focused spot with respect to a reference position, which is located along the optical axis of the lenslet. A conventional algorithm will fail to determine the correct centroid of a spot if it partially overlaps another spot or if the focal spot of a lenslet falls outside of the area of the sensor assigned to detect it (i.e., spot crossover). Special algorithms can be implemented to overcome these problems, but they limit the dynamic range of the sensor (i.e., the maximum wavefront slope that can be measured reliably). The dynamic range of a system can be increased by using a lenslet with either a larger diameter or a shorter focal length. However, the lenslet diameter is tied to the needed number of Zernike coefficients; therefore, the only other way to increase the dynamic range is to shorten the focal length of the lenslet, but this in turn, decreases the measurement sensitivity. Ideally, choose the longest focal length lens that meets both the dynamic range and measurement sensitivity requirements.
Figure 3. Dynamic range and measurement sensitivity are competing properties of a Shack-Hartmann wavefront sensor. Here, f, Δy, and d represent the focal length of the lenslet, the spot displacement, and the lenslet diameter, respectively. The equations provided for the measurement sensitivity θ min and the dynamic range θmax are obtained using the small angle approximation. θmin is the minimum wavefront slope that can be measured by the wavefront sensor. The minimum detectable spot displacement Δymin depends on the pixel size of the photodetector, the accuracy of the centroid algorithm, and the signal to noise ratio of the sensor. θmax is the maximum wavefront slope that can be measured by the wavefront sensor and corresponds to a spot displacement of Δymax, which is equal to half of the lenslet diameter. Therefore, increasing the sensitivity will decrease the dynamic range and vice versa.
The Shack-Hartmann wavefront sensor is capable of providing information about the intensity profile as well as the calculated wavefront. Be careful not to confuse these. The left-hand frame of Fig. 4 shows a sample intensity profile, whereas the right-hand frame shows the corresponding wavefront profile. It is possible to obtain the same intensity profile from various wavefuncton distributions.
Figure 4. Several pieces of information are provided by the Shack-Hartmann wavefront sensor, including information about the total power at each lenslet and the calculated wavefront distribution present. Here, the left-hand frame shows a sample intensity profile, while the right-hand frame shows the corresponding wavefront.
The Deformable Mirror: The deformable mirror (DM) changes shape in response to position commands in order to compensate for the aberrations measured by the Shack-Hartmann wavefront sensor (refer to the Types of Aberrations tab to learn more about the aberrations that the DM can correct). Ideally, it will assume a surface shape that is conjugate to the aberration profile (see Fig. 5). In many cases, the surface profile is controlled by an underlying array of actuators that move in and out in response to an applied voltage. Deformable mirrors come in several different varieties, but the two most popular categories are segmented and continuous (see Fig. 6). Segmented mirrors are comprised from individual flat segments that can either move up and down (if each segment is controlled by just one actuator) or have tip, tilt, and piston motion (if each segment is controlled by three actuators). These mirrors are typically used in holography and for spatial light modulators. Advantages of this configuration include the ability to manufacture the segments to tight tolerances, the elimination of coupling between adjacent segments of the DM since each acts independently, and the number of degrees of freedom per segment. However, on the down side, the regularly spaced gaps between the segments act like a diffraction pattern, thereby introducing diffractive modes into the beam. In addition, segmented mirrors require more actuators than continuous mirrors to compensate for a given incoming distorted wavefront. To address the optical problems with segmented DMs, continuous faceplate DMs (such as those included in our AO Kits) were fabricated. They offer a higher fill factor (i.e., the percentage of the mirror that is actually reflective) than their segmented counterparts. However, their drawback is that the actuators are mechanically coupled. Therefore, when one actuator moves, there is some finite response along the entire surface of the mirror. The 2D shape of the surface caused by displacing one actuator is called the influence function for that actuator. Typically, adjacent actuators of a continuous DM are displaced by 10-20% of the actuation height; this percentage is known as the actuator coupling. Note that segmented DMs exhibit zero coupling but that isn’t necessarily desirable.
Figure 5. The aberration compensation capabilities of a flat and MEMS deformable mirror are compared. (a) If an unabberated wavefront is incident on a flat mirror surface, the reflected wavefront will remain unabberated. (b) A flat mirror is not able to compensate for any deformations in the wavefront; therefore, an incoming highly aberrated wavefront will retain its aberrations upon reflection. (c) A MEMS deformable mirror is able to modify its surface profile to compensate for aberrations; the DM assumes the appropriate conjugate shape to modify the highly aberrated incident wavefront so that it is unaberrated upon reflection.
Figure 6. Cross sectional schematics of the main components of BMC's continuous (left) and segmented (right) MEMS deformable mirrors.
The range of wavefronts that can be corrected by a particular DM is limited by the actuator stroke and resolution, the number and distribution of actuators, and the model used to determine the appropriate control signals for the DM; the first two are physical limitations of the DM itself, whereas the last one is a limitation of the control software. The actuator stroke is another term for the dynamic range (i.e., the maximum displacement) of the DM actuators and is typically measured in microns. Inadequate actuator stroke leads to poor performance and can prevent the convergence of the control loop. The number of actuators determines the number of degrees of freedom that the mirror can correct for. Although many different actuator arrays have been proposed, including square, triangular, and hexagonal, most DMs are built with square actuator arrays, which are easy to position on a Cartesian coordinate system and map easily to the square detector arrays on the wavefront sensors. To fit the square array on a circular aperture, the corner actuators are sometimes removed (e.g., the deformable mirror included with the AOK1-UM01 or AOK1-UP01 has a 12 x 12 actuator configuration but only 140 actuators since the corner ones are not used). Although more actuators can be placed within a given area using some of the other configurations, the additional fabrication complexity usually does not warrant that choice.
Figure 7. A cross-like pattern is created on the DM surface by applying the voltages necessary for maximum deflection of the 44 actuators that comprise the middle two rows and middle two columns of the array. The frame on the left shows a screen shot of the AO kit software depicting the DM surface, whereas the frame on the right, which was obtained through quasi-dark field illumination, shows the actual DM surface when programmed to these settings. Note that the white light source used for illumination is visible in the lower right-hand corner of the photograph.
Figure 7 (left frame) shows a screen shot of a cross formed on the 12 x 12 actuator array of the DM included with the adaptive optics kit. To create this screen shot, the voltages applied to the middle two rows and middle two columns of actuators were set to cause full deflection of the mirror membrane. In addition to the software screen shot depicting the DM surface, quasi-dark field illumination was used to obtain a photograph of the actual DM surface when programmed to these settings (see Fig. 7, right frame)
The Control Software: In an adaptive optics setup, the control software is the vital link between the wavefront sensor and the deformable mirror. It converts the wavefront sensor’s electrical signals, which are proportional to the slope of the wavefront, into compensating voltage commands that are sent to each actuator of the DM. The closed-loop bandwidth of the adaptive optics system is directly related to the speed and accuracy with which this computation is done, but in general, these calculations must occur on a shorter time scale than the aberration fluctuations.
In essence, the control software uses the spot field deviations to reconstructs the phase of the beam (in this case, using Zernike polynomials) and then sends conjugate commands to the DM. A least-squares fitting routine is applied to the calculated wavefront phase in order to determine the effective Zernike polynomial data outputted for the end user. Although not the only form possible, Zernike polynomials provide a unique and convenient way to describe the phase of a beam. These polynomials form an orthogonal basis set over a unit circle with different terms representing the amount of focus, tilt, astigmatism, comma, et cetera; the polynomials are normalized so that the maximum of each term (except the piston term) is +1, the minimum is –1, and the average over the surface is always zero. Furthermore, no two aberrations ever add up to a third, thereby leaving no doubt about the type of aberration that is present.
There are five primary monochromatic aberrations, which can be further divided into two subgroups: those that deteriorate the image (spherical aberration, coma, and astigmatism) and those that deform the image (field curvature and distortion). These aberrations are a direct result of departures from first-order (i.e., sinθ≈θ) theory, which assumes the light rays make small angles with the principal axis. As soon as one wants to consider light rays incident on the periphery of a lens, the statement sinθ≈θ, which forms the basis of paraxial optics, is no longer satisfactory and one must consider more terms in the expansion:
The five primary monochromatic aberrations were first studied by Ludwig von Seidel, and hence, they are frequently referred to as the Seidel aberrations. Please note that since the expansion of sinθ is an infinite sum, the five monochromatic aberrations discussed below are not the only ones possible; there are additional higher-order aberrations that make smaller contributions to image degradation. The surface of the deformable mirror can be altered to accommodate all of these types of monochromatic aberrations.
1) Spherical Aberrations
For parallel incoming light rays, an ideal lens will be able to focus the rays to a point on the optical axis as shown in Fig. 1a; consequently, under ideal circumstances, the image of a point source that is located on the optical axis will be a bright circular disk surrounded by faint rings (see the Airy diffraction pattern shown in Fig. 1b). However, in reality, the light rays that strike a spherical converging lens far from the principal axis will be focused to a point that is closer to the lens than those light rays that strike the spherical lens near the principal axis (see Fig. 1c). Consequently, there is no single focus for a spherical lens, and the image will appear to be blurred; instead of having an Airy diffraction pattern in which nearly all the light is contained in a central bright circular spot, spherical aberration will redistribute some of the light from the central disk to the surrounding rings (see Fig. 1d), thereby reducing image contrast. Whenever spherical aberration is present, the best focus for an uncorrected lens will be somewhere between the focal planes of the peripheral and axial rays. Please note that spherical aberration only pertains to object points that are located on the optical axis.
Figure 1. Comparison of an ideal situation to one in which spherical aberration is present. (a) For a perfect lens, all incoming light rays get focused to a single point. (b) The Airy diffraction pattern corresponding to a point source that has been imaged by a perfect lens consists of a bright central spot surrounded by faint concentric rings. (c) For a real lens, light incident on the edges of a lens is refracted more than the light striking the center of the lens, and thus, there is not one unique focal point for all incident light rays. (d) Spherical aberration degrades resolution by redistributing some of the light from the central bright spot to the surrounding concentric rings.
2) Coma
Coma, or comatic aberration, is an image-degrading aberration associated with object points that are even slightly off axis. When an off-axis bundle of light is incident on a lens, the light will undergo different amounts of refraction depending on where it strikes the lens (see Fig. 2a); as a result, each annulus of light will focus onto the image plane at a slightly different height and with a different spot size (see Fig. 2b), thereby leading to different transverse magnifications. The resulting image of a point source, which is shown in Fig. 2c, is a complicated asymmetrical diffraction pattern with a bright central core and a triangular flare that departs drastically from the classical Airy pattern shown in Fig 1b above. The elongated comet-like structure from which this type of aberration takes its name can extend either towards or away from the optical axis depending on whether the comatic aberration is negative or positive, respectively. Due to the asymmetry that coma causes in images, many consider it to be the worst type of aberration.
Figure 2. The effects of positive coma are shown. (a) When a light source is off-axis, the various portions of the lens do not refract the light to the same point on the image plane. (b) The central region of the lens forms a point image at the vertex of the cone, while larger rings on the periphery of the lens correspond to larger comatic circles that are displaced farther from the principal axis. (c) Coma leads to a complicated asymmetrical comet-like diffraction pattern characterized by an elongated structure of blotches and arcs. Note that the diffraction pattern shown assumes no spherical aberration.
3) Astigmatism
Astigmatism, like coma, is an aberration that arises when an object point is moved away from the optical axis. Under such conditions, the incident cone of light will strike the lens obliquely, leading to a refracted wavefront characterized by two principal curvatures that ultimately determine two different focal image points. Figure 3a shows the two planes one needs to consider: the tangential (also known as the meridional) plane and the sagittal plane; the tangential plane is defined by the chief ray (i.e., the light ray from the object that passes through the center of the lens) and the optical axis, while the sagittal plane is a plane that contains the chief ray and is perpendicular to the tangential plane. In addition to the chief light ray, Fig. 3a also shows two other off-axis light rays, one passing through the tangential plane and the other passing through the sagittal plane. For complex multi-element lens systems (e.g., microscope objective or ASOM system), the tangential plane remains coherent from one end of the system to the other while the sagittal plane usually changes slope as the chief ray’s propagation direction is altered by the various components in the lens system. Consequently, in general, the focal lengths associated with these planes will be different (see Fig. 3b). If the sagittal focus and the tangential focal points are coincident, then the object point is on axis and the lens is free of astigmatism. However, as the amount of astigmatism present increases, the distance between these two foci will also increase, and as a result, the image will lose definition around its edges. The presence of astigmatism will cause the ideal circular point image to be blurred into a complicated elongated diffraction pattern that appears more linelike when more astigmatism is present (see Figs. 3c and 3d).
Figure 3. The effects of astigmatism, assuming the absence of spherical aberration and coma, are illustrated. (a) The tangential and sagittal planes are shown. (b) Light rays in the tangential and sagittal planes are refracted differently, ultimately leading to two different focal planes, which are labeled as the tangential focus and sagittal focus. (c) The Airy diffraction pattern of a point source as viewed at the tangential focal plane. (d) The Airy diffraction pattern of a point source as viewed at the sagittal focal plane.
4) Field Curvature
For most optical systems, the final image must be formed on a planar surface; however, in actuality, a lens that is free of all other off-axis aberrations creates an image on a curved surface known as a Petzval surface. This nominal curvature of this surface, which is known as the Petzval curvature, is the reciprocal of the lens radius. For a positive lens, this surface curves inward towards the object plane, whereas for a negative lens, the surface curves away from that plane. The field curvature aberration arises from forcing a naturally curved image surface into a flat one. For the image, the presence of field curvature makes it impossible to have both the edges and central region of the image be crisp simultaneously. If the focal plate is shifted to the vertex of the Petzval surface (Position A in Fig. 4), the central part of the image will be in focus while the outer portion of the image will be blurred, making it impossible to distinguish minor structural details in this outer region. Alternatively, if the image plane is moved to the edges of the Petzval surface (Position B in Fig. 4), the opposite effect occurs; the edges of the image will come into focus, but the central region will become blurred. The best compromise between these two extremes is to place the image plane somewhere in between the vertex and edges of the Petzval surface, but regardless of its location, the image will never appear sharp and crisp over the entire field of view.
Figure 4. Field curvature, an aberration associated with off-axis objects, arises because the best image is not formed on the paraxial image plane but on a parabolic surface called the Petzval surface. (a) Depending on the location of the focal plane along the optic axis, either the central (if at location A) or peripheral (if at location B) portions of the field of view will be in focus but not both. (b) The central portion of the image will be crisp if the image plane is located at position A. (c) The edges of the image will be sharply in focus if the image plane is located at position B.
5) Distortion
The last of the Seidel aberrations is distortion, which is easily recognized in the absence of all other monochromatic aberrations because it deforms the entire image even though each point is sharply focused. Distortion arises because different areas of the lens usually have different focal lengths and magnifications. If no distortion is present in a lens system, the image will be a true magnified reproduction of the object (see Fig. 5b). However, when distortion is present, off-axis points are imaged either at a distance greater than normal or less than normal, leading to a pincushion (see Fig. 5a) or barrel (see Fig. 5c) shape, respectively.
Figure 5. The effects of astigmatism, assuming the absence of all other forms of aberration, are illustrated. (a) Positive or pincushion distortion occurs when the transverse magnification of a lens increases with the axial distance; this effect causes each image point to be displaced radially outward from the center, with the most distant points undergoing the largest displacements. (b) If no distortion is present, the image will be a scaled duplicate of the object. (c) Negative or barrel distortion occurs when the transverse magnification of a lens decreases with axial distance; in this case, each image point moves radially inward toward the center; again, the most distant points undergo the largest displacements.
Chromatic Aberrations
The monochromatic aberrations discussed above can all be compensated for using a deformable mirror such as the one included in these adaptive optics kits. However, when a broadband light source is used, chromatic aberrations will result. Since a DM cannot compensate for these aberrations, we will only briefly mention them here. Chromatic aberrations, which come in two forms (i.e., lateral and longitudinal), arise from the variation of the index of refraction of a lens with incident wavelength. Since blue light is refracted more than red light, the lens is not capable of focusing all colors to the same focal point; therefore, the image size and focal point for each color will be slightly different, leading to an image that is surrounded by a halo. Generally, since the eye is most sensitive to the green part of the spectrum, the tendency is to focus the lens for that region; if the image plane is then moved towards (away from) the lens, the periphery of the blurred image will be tinted red (blue).
Introduction Off-axis scanning is frequently used in many imaging techniques including Optical Coherence Tomography (OCT), Confocal Microscopy, and Adaptive Scanning Optical Microscopy (ASOM). Without adaptive optics, images obtained using these techniques will suffer from the off-axis aberrations discussed in the Types of Aberrations tab, thereby requiring one to choose between resolution and field of view. However, by using a deformable mirror, this tradeoff is overcome. To learn more about how a deformable mirror works and its role in an adaptive optics system, please see the Tutorial tab.
An Example: ASOM As an example, consider Thorlabs’ Adaptive Scanning Optical Microscope (ASOM), which is shown in Fig. 1 at the right and combines a high-speed steering mirror, large aperture scan lens, and micro-electro-mechanical (MEMS) deformable mirror to provide a large field of view (Ø40 mm) while preserving resolving power (1.5 μm over the entire field of view) and a high image acquisition rate (30 fps). As the imaged area on the sample is changed (by changing the orientation of the fast steering mirror), the deformable mirror is used to correct the off-axis aberrations introduced by the scan lens, thus maintaining the diffraction-limited 1.5 μm resolution across the extended composite field of view.
ASOM works by taking a sequence of small spatially separated images in rapid succession and then assembling them to form a large composite image. Although mosaic construction has been used in the past to expand the field of view while preserving resolution, it necessitated the use of a moving stage. In contrast, the ASOM uses a high speed 2D mirror, a specially designed scanner lens assembly, a deformable mirror, and additional imaging optics to overcome this tradeoff.
Figure 1. (a) A schematic of Thorlabs' ASOM system, which consists of a custom-designed scan lens, a fast steering mirror, a 4.4 mm x 4.4 mm DM with a 12 x 12 grid of electrostatic actuators, and a CCD camera. (b) A photograph of the ASOM (Item# ASM9600) system.
Figure 2 shows a schematic of the ASOM scanner lens assembly (SLA). Unlike a traditional microscope objective, which must image onto a flat surface, the ASOM allows for a curved image field (i.e., the natural image field shape for a lens – refer to the Field Curvature Section under the Types of Aberrations tab), thereby greatly simplifying the optical design and number of lens elements necessary. The figure shows four different scan angle positions. The blue lines represent on-axis scanning, whereas the green, red, and yellow lines correspond to various off-axis scan angles. For each scan angle illustrated, the wavefront distortion as a function of linear displacement from the central position on the image tile of the wavefront sensor is given.
Figure 2. Adaptive Scanning Optical Microscopy (ASOM) utilizes a curved image field, thereby greatly simplifying the scanner lens assembly shown. The blue, green, red, and yellow rays represent various off-axis scan angles (0o, 2 o, 4 o, and 6 o, respectively). For each angle, the corresponding wavefront distortion is shown. The graphs show the distortion (in waves) as a function of position on the wavefront sensor tile. Regardless of scan angle, notice that no waves of distortion are present at the exact center of each image tile. Please note that for this figure, the term "distortion" is meant to encompass all types of aberrations.
Although the large aperture scan lens and overall system layout are specifically designed to deal with field curvature, all other off-axis aberrations, such as coma and astigmatism (see the Types of Aberrations tab for a detailed discussion), are still present in the ASOM system. These aberrations are compensated for at each individual field position throughout the scanner’s range by a deformable mirror. Figure 3 shows the optimal DM shape for a given angular position of the high speed steering mirror.
Figure 3. The angular position of the 2D steering mirror defines the observable field position. Here, the various mirror positions map out the image at five points along the y-axis. For each angular position of the high speed steering mirror shown in frame (a), the corresponding optimal deformable mirror shape is shown in frame (b). Note that the DM topology configuration necessary to correct the image at each field position is not trivial.
The deformable mirror's impressive wavefront correction abilities are demonstrated in Fig. 4, which shows an air force target imaged using a flat mirror in frame (a) and a deformable mirror in frame (b). In frame (a), the image is completely blurred, making it impossible to distinguish any structure, whereas, in frame (b), the smallest lines, which are only separated by 2 μm, are now discernable.
Figure 4. Air force target imaged using (a) a flat mirror (b) an optimized deformable mirror. The smallest lines are separated by 2 μm.
In addition to the WFS150-5C Shack-Hartmann Wavefront Sensor, your choice of an Al- or Au-Coated Mini- or Multi-DM deformable mirror, and control software (Windows XP Compatible), these adaptive optics kits also include a source, all collimation/imaging optics, and all mounting hardware necessary to build the layout depicted in the schematic below.
Figure 1. Schematic showing the major components included with the AOK1-UM01, AOK1-UP01, AOK2-UM01, and AOK2-UP01 Adaptive Optics Kits. L, M, DM, BS, and BD refer to lens, mirror, deformable mirror, beamsplitter, and beam dump, respectively. The "X" marks the position of the CB1 U-bench, which is also the location of an image plane in the setup; thus, if desired, a user-supplied sample can be inserted at this location.
Figures 2 and 3 below are photographs showing two different views of an assembled AO Kit. The cage components are divided into three pre-aligned pieces that need to be arranged on a user-supplied breadboard: two sections of preassembled cage components are used together to image a beam waist onto the DM surface and a third preassembled cage system is used to image a beam waist onto the Shack-Hartmann wavefront sensor.
If you are not familiar with Thorlabs' 30 mm cage assemblies, they consist of cage-compatible components that are interconnected with cage rods. Each cage component features four tapped holes with center-to-center spacings of 30 mm, and they are joined together into a cage system using Ø6 mm rigid steel cage rods of varying lengths. For this setup, cage rods with lengths of 1", 1.5", 3", and 6" were used. The reason for building a cage system is to ensure that the optical components housed inside the cage system have a common optical axis.
Figure 2. An areal view of an AOK1-UM01 Adaptive Optics kit. Please note that the breadboard is not included with the purchase of an AO kit. The key components, which will be discussed in the text below, are numbered.
The first two preassembled cage sections consist of the laser diode source, four 75 mm focal length lenses, two cage-compatible turning mirrors, and a U-shaped bench. The CPS180 Laser Diode Module (labelled as #1 in Fig. 2), which outputs ~1 mW of light at 635 nm, is housed inside a CP02 Cage Plate (#2 in Fig. 2) using an AD11F Ø11 mm-to-SM1 Adapter. Light exiting the module is centered within the cage system and on the surface of the DM using the adjustment knobs on the two KCB1 Right-Angle Cage-Compatible Kinematic Mounts (the first of which is labeled as #4 in Fig. 2), which house BB1-E03 Broadband Dielectric Mirrors; these mirrors have an antireflection coating for the 750 - 1100 nm range. A CPA1 alignment plate, which locates a small through-hole at the exact center of a cage assembly, is used to assist with this alignment. Please note that with the purchase of AOK1-UP01 or AOK2-UP01, the two BB1-E03 mirrors are replaced by two BB1-E02 mirrors, which have an antireflection coating for the 400-750 nm range.
Two LA1608-B 75 mm focal length lenses (the first of which is housed in the HPT1 Translating Lens Mount labeled as #2 in Fig. 2 and the second of which is housed in the CP02 Cage Plate labeled as #3 in Fig. 2) are used to image a beam waist at the center of the CB1 30 mm Cage System U bench (represented by an X in Fig. 1 and labeled as #6 in Fig. 2 above). A sample can be placed in this image plane. Please note that the LA1608-B lenses used for the AOK1-UM01 and AOK2-UM01 are replaced by LA1608-A lenses with the purchase of an AOK1-UP01 or AOK2-UP01 adaptive optics kit. In either case, the first lens is placed ~94 mm from the source (since the collimation optic built into the laser diode module source has a focal length of ~19 mm), and the second lens is placed in the optical path so that it is ~150 mm after the first lens. Then, during the alignment process done at Thorlabs, fine adjustments are made to the lens locations by using an SI050 Shearing Interferometer to ensure the laser beam is collimated.
Then, two more LA1608-B lenses (one is housed in the HPT1 mount labeled as #7 in Fig. 2 and the other in the CP02 mount labeled as #8 in the figure) are used to image a beam waist onto the DM (#9); by having a beam waist at the DM surface, the range of actuation needed to correct for any aberrations is minimized. All of these components are connected using ER Cage Rods to build a cage system, which ensures that a common optical axis is maintained. Since both KCB1 turning mirror mounts are internally threaded, four ERSCA Adapters must be used to connect them with cage rods. These adapters are visible in the foreground of Fig. 3.
The DM is mounted onto a DM-KM1 Kinematic Mount (available only with this kit), which in turn is mounted on an RS2 Post and secured to the breadboard using an RB2 Post Base. The DM is placed on the breadboard such that it is located 75 mm after the fourth lens and so that the reflected beam makes as shallow of an angle as possible. In this case, the angle of reflection is ~35o.
The third preassembled cage section consists of two more 75 mm focal length lenses, which are once again housed using an HPT1 Translating Lens Mount (#10 in Fig. 2) and a CP02 Cage Plate (#11 in Fig. 2). Two CP02B Cage Plate Adapters, which are mounted onto TR3 Posts and secured to the breadboard using UPH2 Universal Post Holders, are placed approximately 1/3 and 2/3 of the way between the lenses to support the weight of the cage components. These lenses are used to place the DM in a plane that is conjugate with the Shack-Hartmann lenslet array, thereby enabling the AO kit software to optimize the position of the DM actuators. This section of cage components is placed on the breadboard so that the first lens is located 75 mm after the DM.
After exiting the third cage subassembly, a 92:8 pellicle beamsplitter (#12 in Fig. 2) is used to direct a small portion of the light to the last major component of the AO kit, the WFS150-5C Shack-Hartmann Wavefront Sensor (#13). The sensor is placed on a 1.6" x 1.0" KM100P Kinematic Platform Mount; a PM1 Small Clamping Arm is threaded into one of the #6-32 tapped holes on the platform, and then the clamp is used to hold the wavefront sensor housing in place. The kinematic mount is threaded onto a TR3 Post (Ø1/2" x 1.5" tall) and secured to the breadboard with a UPH2 Universal Post Holder. To attenuate the amount of light entering the Shack-Hartmann wavefront sensor, an NE20A Mounted Ø1" Neutral Density Filter, which has an optical density of 2.0, is used. Since the sensor itself features internal C-mount threading and the ND filter is housed inside a 0.3" long SM1 (1.035"-40) lens tube, an SM1A9 C-Mount to SM1 Adapter is necessary to mate the ND filter to the front of the WFS150C.
The portion of light transmitted by the beamsplitter can be blocked by a beam block (#14) that is constructed from an SM1A7 Alignment Blank that has been threaded into an LMR1 Lens Mount and onto a TR3 Post. The post can be secured to the breadboard using a UPH2 Universal Post Holder. Alternatively, the beam block can be removed and the light can be launched into an application.
Figure 3. A photograph showing an alternative view of a preassembled Adaptive Optics Kit. Please note that a breadboard is not included with the purchase of AOK1-UP01, AOK1-UM01, AOK2-UP01, or AOK2-UM01.
A Note about the Optics Included with the Adaptive Optics Kits: The AOK1-UM01 (kit with gold-coated Multi-DM), AOK1-UP01 (kit with aluminum-coated Multi-DM), AOK2-UM01(kit with gold-coated Mini-DM), and AOK2-UP01 (kit with aluminum-coated Mini-DM) contain the same exact components with 3 exceptions. AOK1-UM01 and AOK2-UM01 contain a gold-coated DM (DM140-35-UM01 or DM32-35-UM01, respectively), two Ø1" broadband dielectric mirrors with antireflection coatings for the 750-1100 nm range, and six 75 mm focal length plano-convex lenses with antireflection coatings for the 650-1050 nm range. In contrast, the AOK1-UP01 and AOK2-UP01 contain an aluminum-coated DM (DM140-35-UP01 or DM32-35-UP01, respectively), two Ø1" broadband dielectric mirrors with antireflection coatings for the 400-750 nm range, and six 75 mm focal length plano-convex lenses with antireflection coatings for the 350-650 nm range. Although all kits ship with a 635 nm source, Thorlabs anticipates that in many cases, the end user will use our kit light source for testing purposes and then swap it out for a different light source. Hence, the optics have been matched to the AR-coating of the DM itself (i.e., the aluminum-coated DMs ship with optics for the visible range, whereas the gold-coated DMs ship with optics for the near IR spectral range).
K. Enya, T. Kotani, T. Nakagawa, H. Kataza, K. Haze, S. Higuchi, T. Miyata, S. Sako, T. Nakamura, T. Yamashita, N. Narita, M. Tamura, J. Nishikawa, H. Hayano, S. Oya, Y. Itoh, M. Fukagawa, H. Shibai, M. Honda, N. Baba, N. Murakami, M. Takami, T. Matsuo, S. Ida, L. Abe, O. Guyon, M. Venet, T. Yamamuro, P. Bierden and SPICA coronagraph team, “SPICA Coronagraph Instrument (SCI) for the Direct Imaging and Spectroscopy of Exo-Planets” SPICA Workshop, 01004 (2009) DOI: 10.1051/spica/200901004
Weiyao Zou and Stephen A. Burns, “High-accuracy wavefront control for retinal imaging with Adaptive-Influence-Matrix Adaptive Optics” Optics Express, Vol. 17, Issue 22, pp. 20167-20177
Ying Geng, Kenneth P. Greenberg, Robert Wolfe, Daniel C. Gray, Jennifer J. Hunter, Alfredo Dubra, John G. Flannery, David R. Williams, and Jason Porter,“In Vivo Imaging of Microscopic Structures in the Rat Retina” Investigative Ophthalmology and Visual Science. 2009;50:5872-5879
Julia W. Evans, Bruce Macintosh, Lisa Poyneer, Katie Morzinski, Scott Severson, Daren Dillon, Donald Gavel, and Layra Reza, "Demonstrating sub-nm closed loop MEMS flattening," Optics Express, Vol. 14, Issue 12, pp. 5558-5570, 2006.
Onur Keskin, Peter Hampton, Rodolphe Conan, Colin Bradleyk, Aaron Hilton, and Celia Blain, "Woofer-Tweeter Adaptive Optics Test Bench," First NASA/ESA Conference on Adaptive Hardware and Systems, pp. 74-80, 2006.
R. Daniel Ferguson, Daniel X. Hammer, Chad E. Bigelow, Nicusor V. Iftimia, Teoman E. Ustun, Stephen A. Burns, Ann E. Elsner, and David R. Williams, Tracking adaptive optics scanning laser ophthalmoscope," Proceedings of SPIE, Vol. 6138, pp. 232-240, 2006.
Daniel X. Hammer, R. Daniel Ferguson, Chad E. Bigelow, Nicusor V. Iftimia, Teoman E. Ustun, Gary D. Noojin, David J. Stolarski, Harvey M. Hodnett, Michelle L. Imholte, Semih S. Kumru, Michelle N. McCall, Cynthia A. Toth, and Benjamin A. Rockwell, Precision targeting with a tracking adaptive optics scanning laser ophthalmoscope," Proceedings of SPIE, Vol. 6138, pp. 241-250, 2006.
Yuhua Zhang, Siddharth Poonja, and Austin Roorda, "Adaptive optics scanning laser ophthalmoscope using a micro-electro-mechanical (MEMS) deformable mirror," Proceedings of SPIE, Vol. 6138, pp. 221-231, 2006.
Response from Sam at Thorlabs to nssycit:
Dear customer,
Thank you for contacting us. Our office in China will contact you directly. You can also reach Thorlabs China at chinasales@thorlabs.com.
Poster: nssycit
Posted Date: 2010-09-03 08:26:00.0
Im from China, our department want to stock the AOkits, so we would kown the flows of the purchase.Can you introduce an Chinese agent to me. thank you.
Poster: Thorlabs
Posted Date: 2010-08-16 15:39:28.0
Response from Javier at Thorlabs to Tiago: thank you for submitting your inquiry. We will contact you directly with some pointers for developing your application.
Poster: tiago-paivas
Posted Date: 2010-08-12 07:35:17.0
I am programming the AOKit2 through AOSystem.dll. My code has been developed in visual studio 2005. The application is CLR form based. I get to initialize the AOSystem and get to pointer to AOSystemData structure. I also get to read some values of AOSystemData (e.g. DM_Voltage or SH_Threshold_Off). But I am not able to read the values of the structures and array with pointers in AOSystemData structure (spotinfo, instr, dDMCoeff, and so on). I am going to give a little example:
[code]
struct AOSystemData *aoSystemData;
double dDMCoeff[3];
dDMCoeff={0.0279, 9.3708, 0.0};
DM_SetQuadraticCoeffAndMaxV(dDMCoeff, 225.0);
AOS::AOS_GetVarAddress(6, (void**) &aoSystemData);
double coeficientes[0]=aoSystemData->dDMCoeff[0];
[#code]
In this example, all values in aoSystemData->dDMCoeff array (retrieved to “coeficientes”) are null. But I found these values in aoSystemData->dDMDesired array. I also was not able to read values from, for example, spotinfo structure. In this case I try to point by that through this line: AOS_GetVarAddress(VAR_SPOTINFO, (void **)&aoSystemData->spotinfo).
What is wrong? Is there anyone in Thorlabs I could contact through email to help in my problem? Thanks, Tiago Correia.
Poster: jens
Posted Date: 2009-09-16 12:00:08.0
A reply from Jens at Thorlabs: We can offer a mirror with the window removed. It will be however necessary to only operate the device in a humidity controlled (<30% relative humidity, preferable dry N2), clean environment. You will need to order the mirror without window since for the standard part it cannot be removed once the deformable mirror has been sealed.
Poster: hyoon
Posted Date: 2009-09-15 13:38:39.0
Hi Thorlabs,
Can the Multi DM be operated without the window for spectrally flat operations?
Poster: klee
Posted Date: 2009-07-28 14:42:49.0
Response from Ken at Thorlabs to misterfig: An engineer from the Advanced Imaging Group will contact you directly to troubleshoot the AO Kit.
Poster: misterfig
Posted Date: 2009-07-28 11:45:58.0
Hello,
I am working with Professor Bifano at Boston University and Boston Micromachines on writing code using AOSystem.dll. I am working with developer studio 2008, C++. The application is CLR form based.
I am able to initialize the dll and get a memory pointer to the aoSystemData record. I can also send voltages to the DM. But there seems to be no data coming from the wavefront sensor. Also, the wavefront sensor is being reported as present even when I disconnect the device. Additionally, the application AOKit2 can not connect to the wavefront sensor as well (although the wavefront sensor application WFS works fine).
Is there anyone at Thorlabs I could contact through email to help troubleshoot AOKit2?
Thanks,
Richard Newton
Poster:
Posted Date: 2009-03-14 11:33:30.0
Awesome
Poster: Laurie
Posted Date: 2009-02-16 14:09:53.0
Response from Laurie at Thorlabs to walter.collins: Thank you for your post concerning the AO Kit software. We are going to have an expert from our Imaging Group contact you directly so that your questions can be addressed promptly. Based on the results of those conversations, we may update the software so as to facilitate the interfacing process better. As far as the best forum for such concerns, this feedback tool is appropriate. You could also contact us directly if youd prefer.
Poster: walter.collins
Posted Date: 2009-02-16 13:13:53.0
The toolkits included software seems to function fairly well, but interfacing with the library has proven rather frustrating. In part this is due to documentation being not quite sufficient in a few areas and also seems to be due to trying to combine the existing products of WFS and DM (though thats just a guess on my part). Is there a proper forum for submitting feature requests?
Poster: Laurie
Posted Date: 2008-09-08 12:55:26.0
Response from Laurie at Thorlabs to dreinhardt: Thank you for your feedback concerning this page. I have made our web team aware of the fact that the text is not currently wrapping appropriately on our "Print Friendly" version. We will work to correct the problem as quickly as possible. In the short term, there are two ways for you to print the content found on these pages: (1) If you click on the individual tab of interest, and click print (w/o choosing the print friendly version), that tabs information should print without a problem. (2) Since I authored these pages, I can directly email you the content that you are most interested in. Again, we apologize for this short-term inconvenience, thank you for bringing it to our attention, and will work to address to rectify the problem in a timely manner.
Poster: dreinhardt
Posted Date: 2008-09-08 12:30:33.0
Printer friendly pages: text does not wrap when printed (line length hard coded?). Alternatively: is there a PDF version for download?