Asian Journal of Physics Vol. 30 Nos 8 & 9 (2021) 1377-1386

Asymptotic behaviour of the Strehl ratio in the presence of Zernike polynomial aberrations

Martin J Booth and Qi Hu


Abstract

Through asymptotic analysis based upon the principle of stationary phase, we provide insight into the Strehl ratio response to single Zernike polynomial aberrations. It is shown that for Zernike modes with higher azimuthal orders, the asymptotic response shows slower convergence to zero. This has important implications for the design of iterative aberration correction methods, such as wavefront sensor less adaptive optics. © Anita Publications. All rights reserved.
Keywords: Adaptive optics, Strehl ratio, Aberrations, Zernike polynomials


Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
Buy this Article in Print © Anita Publications. All rights reserved

References

  1. Hampson K M, Antonello J, Lane R, Booth M J, Sensorless Adaptive Optics, doi. 10.5281/zenodo.4271425, (2020).
  2. Lakshminarayanan V, Fleck A, Zernike polynomials: A guide, J Mod Opt, 58(2011)545-561.
  3. Ross T S, Limitations and applicability of the Maréchal approximation, Appl Opt, 48(2009)1812–1818.
  4. Born M, Wolf E, Principles of Optics, 7th Edn, (Cambridge University Press), 1999.
  5. Temme N M, Special functions : an introduction to the classical functions of mathematical physics, (Wiley), 1996.
  6. Abramowitz M, Stegun I A, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, ninth Dover printing, tenth GPO printing (Dover), 1964.
  7. Jeffrey A, Zwillinger D, Gradshteyn I S, Ryzhik I M, (eds), Table of Integrals, Series, and Products, 7th edn, (Academic Press), 2007.