Optimizing the modal index of Zernike polynomials for regulated phase screen simulation

Akondi Vyas; M. B. Roopashree; B. Raghavendra Prasad

doi:10.1117/12.856816

28 July 2010 Optimizing the modal index of Zernike polynomials for regulated phase screen simulation

Akondi Vyas, M. B. Roopashree, B. Raghavendra Prasad

Proceedings Volume 7736, Adaptive Optics Systems II; 773640 (2010) https://doi.org/10.1117/12.856816
Event: SPIE Astronomical Telescopes + Instrumentation, 2010, San Diego, California, United States

Abstract

Simulations of optical wavefronts propagating through the atmosphere are widely used in the design and testing of adaptive optics systems. Phase screens are defined by their spatial and temporal statistics. In many applications, a controlled production of phase is necessary. A linear combination of normalized Zernike polynomials can be used for the generation of phase screens through the computation of Zernike moments following Kolmogorov turbulence spectrum. In this paper, a technique for controlled production of normalized phase screens using a known Fried's parameter, r₀ is proposed by taking the advantage of the fact that with increasing radial index (n) of Zernike polynomials, the spatial frequency increases. We arrived at an empirical relation between the index interval of Zernike polynomials and r₀. At large value of 'n', there is saturation in the minimum achievable r₀ value.

Citation Download Citation

Akondi Vyas, M. B. Roopashree, and B. Raghavendra Prasad "Optimizing the modal index of Zernike polynomials for regulated phase screen simulation", Proc. SPIE 7736, Adaptive Optics Systems II, 773640 (28 July 2010); https://doi.org/10.1117/12.856816

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