Abstract

Gabor’s expansion of an optical field in a discrete two-dimensional superposition of Gaussian elementary beams is extended here to incorporate the so-called Cauchy beams. The resultant expansion scheme has an advantage over the commonly used Gaussian beam representation in situations involving critical-angle refraction of light beams at a dielectric interface.

© 1988 Optical Society of America

Beam-series representation and the parabolic approximation: the frequency domain

P. D. Einziger and S. Raz
J. Opt. Soc. Am. A 5(11) 1883-1892 (1988)

Gabor’s signal expansion and the Zak transform

Martin J. Bastiaans
Appl. Opt. 33(23) 5241-5255 (1994)

On Gabor’s Expansion Theorem*

Kenro Miyamoto
J. Opt. Soc. Am. 50(9) 856-858 (1960)

Gabor representation and aperture theory

P. D. Einziger, S. Raz, and M. Shapira
J. Opt. Soc. Am. A 3(4) 508-522 (1986)

Elementary-field analysis of partially coherent beam shaping

Manisha Singh, Jani Tervo, and Jari Turunen
J. Opt. Soc. Am. A 30(12) 2611-2617 (2013)