Wavefront sensorless adaptive optics, modal wavefront sensing, and sphere packings

Martin J. Booth

doi:10.1117/12.559074

12 October 2004 Wavefront sensorless adaptive optics, modal wavefront sensing, and sphere packings

Martin J. Booth

Proceedings Volume 5553, Advanced Wavefront Control: Methods, Devices, and Applications II; (2004) https://doi.org/10.1117/12.559074
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

We investigate the properties of a class of adaptive optics systems that do not employ a wave front sensor but rather optimise a photodetector signal by appropriate control of an adaptive element. Such wave front control methods have already been implemented in various applications. It is often convenient to represent a wave front aberration by the superposition of several aberration modes, for example, using the set of Zernike polynomials. In many practical situations the total aberration can be accurately represented by a small number of such modes. It is shown that the design of wave front sensor-less adaptive optics systems based upon Zernike modes is related to the mathematical problem of sphere packing. This involves the arrangement of spheres in multiple dimensions, where the coordinate for each dimension corresponds to a Zernike mode amplitude. This observation permits optimisation of the systems providing considerable increases in efficiency over schemes that take no account of the geometries involved. We combine this approach with modal wave front sensing to provide efficient, direct measurement of Zernike aberration modes.

Citation Download Citation

Martin J. Booth "Wavefront sensorless adaptive optics, modal wavefront sensing, and sphere packings", Proc. SPIE 5553, Advanced Wavefront Control: Methods, Devices, and Applications II, (12 October 2004); https://doi.org/10.1117/12.559074

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