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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 5 — Mar. 2, 2009
  • pp: 3707–3715

Frequency analysis of wavefront curvature sensing: optimum propagation distance and multi-z wavefront curvature sensing

Xi Fengjie, Jiang Zongfu, Xu Xiaojun, Hou Jing, and Liu Zejin  »View Author Affiliations


Optics Express, Vol. 17, Issue 5, pp. 3707-3715 (2009)
http://dx.doi.org/10.1364/OE.17.003707


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Abstract

In this paper we determine the optimum propagation distance between measurement planes and the plane of the lens in a wavefront curvature sensor with the diffraction optics approach. From the diffraction viewpoint, the measured wavefront aberration can be decomposed into Fourier harmonics at various frequencies. The curvature signal produced by a single harmonic is analyzed with the wave propagation transfer function approach, which is the frequency analysis of wavefront curvature sensing. The intensity of the curvature signal is a sine function of the product of the propagation distance and the squared frequency. To maximize the curvature signal, the optimum propagation distance is proposed as one quarter of the Talbot length at the critical frequency (average power point at which the power spectrum density is the average power spectrum density). Following the determination of the propagation distance, the intensity of the curvature signal varies sinusoidally with the squared frequencies, vanishing at some higher frequency bands just like a comb filter. To cover these insensitive bands, wavefront curvature sensing with dual propagation distances or with multi-propagation distances is proposed.

© 2009 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects

ToC Category:
Physical Optics

History
Original Manuscript: September 9, 2008
Revised Manuscript: December 16, 2008
Manuscript Accepted: December 19, 2008
Published: February 24, 2009

Citation
Xi Fengjie, Jiang Zongfu, Xu Xiaojun, Hou Jing, and Liu Zejin, "Frequency analysis of wavefront curvature sensing: optimum propagation distance and multi-z wavefront curvature sensing," Opt. Express 17, 3707-3715 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-5-3707


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