First order analysis of thin plate deformable mirrors

Lee, Jun Ho; Uhm, Tae Kyung; Lee, Wan Sul; Youn, Sung Kie

doi:10.1117/12.459743

Cited by 7 publications

(3 citation statements)

References 6 publications

(11 reference statements)

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“…5). This effect can be eliminated by use of a more accurate model, for example, finite-element analysis (FEA) [53], that incorporates the material properties of the corrector such as thickness, modulus of elasticity, and Poisson's ratio that determine the influence functions and ultimately mirror shape [54][55][56]. Such analysis, however, must be customized for a particular wavefront corrector, an approach not readily applicable for the many corrector configurations evaluated here.…”

Section: A Required Actuator Strokementioning

confidence: 99%

Requirements for discrete actuator and segmented wavefront correctors for aberration compensation in two large populations of human eyes

et al. 2007

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Numerous types of wavefront correctors have been employed in adaptive optics (AO) systems for correcting the ocular wavefront aberration. While all have improved image quality, none have yielded diffraction-limited imaging for large pupils (≥6 mm), where the aberrations are most severe and the benefit of AO the greatest. To this end, we modeled the performance of discrete actuator, segmented piston-only, and segmented piston/tip/tilt wavefront correctors in conjunction with wavefront aberrations measured on normal human eyes in two large populations. The wavefront error was found to be as large as 53 μm, depending heavily on the pupil diameter (2-7.5 mm) and the particular refractive state. The required actuator number for diffraction-limited imaging was determined for three pupil sizes (4.5, 6, and 7.5 mm), three second-order aberration states, and four imaging wavelengths (0.4, 0.6, 0.8, and 1.0 μm). The number across the pupil varied from only a few actuators in the discrete case to greater than 100 for the piston-only corrector. The results presented will help guide the development of wavefront correctors for the next generation of ophthalmic instrumentation.

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Section: A Required Actuator Strokementioning

confidence: 99%

Requirements for discrete actuator and segmented wavefront correctors for aberration compensation in two large populations of human eyes

et al. 2007

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“…Martin et al [12] described the optimization of support forces for a 6.5 m primary mirror of the Multiple Mirror Telescope Conversion, in which the fixturing functions were determined by FEA, and then the optimization was performed by singular value decomposition of the fixturing functions into normal modes. Lee et al [13] estimated the fixturing function of optics based on the analytic calculation and FEA, and their model was used in the continuous thin-plate type with discrete actuators in the medium size range from about 10 cm up to 2 m in diameter. Daudeville and Carre [14] discussed the thermal tempering of soda-lime silicate glass plates with Narayanaswamy's model, in which the tridimensional residual stress state was computed using FEA.…”

Section: Related Workmentioning

confidence: 99%

Optimization of fixture layouts of glass laser optics using multiple kernel regression

Cao

Qiao

2014

Appl. Opt.

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We aim to build an integrated fixturing model to describe the structural properties and thermal properties of the support frame of glass laser optics. Therefore, (a) a near global optimal set of clamps can be computed to minimize the surface shape error of the glass laser optic based on the proposed model, and (b) a desired surface shape error can be obtained by adjusting the clamping forces under various environmental temperatures based on the model. To construct the model, we develop a new multiple kernel learning method and call it multiple kernel support vector functional regression. The proposed method uses two layer regressions to group and order the data sources by the weights of the kernels and the factors of the layers. Because of that, the influences of the clamps and the temperature can be evaluated by grouping them into different layers.

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“…In previous work, the fundamentals of actuator distribution have been discussed by studying curve fitting characteristics [17]. Application of first order analysis to arranging the actuators of thin plate DMs was carried out in [18]. A detailed investigation of actuator patterns in the design of bimorph DMs was given in [19].…”

Section: Stochastic Parallel Perturbation Algorithm For Position Adjumentioning

confidence: 99%

Wavefront correction performed by a deformable mirror of arbitrary actuator pattern within a multireflection waveguide

Huang

Bian

et al. 2014

Appl. Opt.

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The wavefront correction ability of a deformable mirror with a multireflection waveguide was investigated and compared via simulations. By dividing a conventional actuator array into a multireflection waveguide that consisted of single-actuator units, an arbitrary actuator pattern could be achieved. A stochastic parallel perturbation algorithm was proposed to find the optimal actuator pattern for a particular aberration. Compared with conventional an actuator array, the multireflection waveguide showed significant advantages in correction of higher order aberrations.

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First order analysis of thin plate deformable mirrors

Cited by 7 publications

References 6 publications

Requirements for discrete actuator and segmented wavefront correctors for aberration compensation in two large populations of human eyes

Requirements for discrete actuator and segmented wavefront correctors for aberration compensation in two large populations of human eyes

Optimization of fixture layouts of glass laser optics using multiple kernel regression

Wavefront correction performed by a deformable mirror of arbitrary actuator pattern within a multireflection waveguide

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