Abstract

The problem of field expansion is studied in terms of Gaussian beams and complex source points. Particular attention has been devoted to obtaining analytical expressions for the field valid from the near to the far field as well as in regions where singularities of the geometrical-optics field are found. The method has been applied to different propagation problems, such as the study of the field in cusp regions determined by a focused source or by a parabolic reflector with off-focus feed.

© 1986 Optical Society of America

Complex point-source representation of real point sources and the Gaussian beam summation method

A. N. Norris
J. Opt. Soc. Am. A 3(12) 2005-2010 (1986)

Gabor representation and aperture theory

P. D. Einziger, S. Raz, and M. Shapira
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Gaussian beam and pulsed-beam dynamics: complex-source and complex-spectrum formulations within and beyond paraxial asymptotics

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Integral equation analysis of an arbitrary-profile and varying-resistivity cylindrical reflector illuminated by an E-polarized complex-source-point beam

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Complex argument Hermite–Gaussian and Laguerre–Gaussian beams

Erich Zauderer
J. Opt. Soc. Am. A 3(4) 465-469 (1986)