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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 6 — Jun. 1, 2011
  • pp: 1003–1006

Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions

R. Mahillo-Isla, M. J. Gonźalez-Morales, and C. Dehesa-Martínez  »View Author Affiliations


JOSA A, Vol. 28, Issue 6, pp. 1003-1006 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001003


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Abstract

The slowly varying envelope approximation is applied to the radiation problems of the Helmholtz equation with a planar single-layer and dipolar sources. The analyses of such problems provide procedures to recover solutions of the Helmholtz equation based on the evaluation of solutions of the parabolic wave equation at a given plane. Furthermore, the conditions that must be fulfilled to apply each procedure are also discussed. The relations to previous work are given as well.

© 2011 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation
(350.7420) Other areas of optics : Waves
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: February 7, 2011
Revised Manuscript: March 28, 2011
Manuscript Accepted: March 28, 2011
Published: May 9, 2011

Citation
R. Mahillo-Isla, M. J. Gonźalez-Morales, and C. Dehesa-Martínez, "Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions," J. Opt. Soc. Am. A 28, 1003-1006 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-6-1003

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