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Wave front sensorless adaptive optics, modal wave front sensing, and sphere packings

机译:波前无传感器自适应光学器件,模态波前传感和球面填料

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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.
机译:我们研究了一类不采用波前传感器而是通过适当控制自适应元件来优化光电探测器信号的自适应光学系统的特性。这样的波前控制方法已经在各种应用中实现。通常,例如通过使用Zernike多项式集合叠加几种像差模式来表示波前像差通常很方便。在许多实际情况下,总的像差可以通过少量的此类模式来准确表示。结果表明,基于Zernike模式的无波前无传感器自适应光学系统的设计与球堆积的数学问题有关。这涉及在多个维度上布置球体,其中每个维度的坐标对应于Zernike模式振幅。该观察结果允许对系统进行优化,从而与不考虑所涉及的几何结构的方案相比,可以显着提高效率。我们将此方法与模态波前感测相结合,以提供有效,直接的Zernike像差模式测量。

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