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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

  • Vol. 19, Iss. 8 — Aug. 1, 2002
  • pp: 1701–1711

Traveling and evanescent parts of the electromagnetic Green’s tensor

Henk F. Arnoldus and John T. Foley  »View Author Affiliations


JOSA A, Vol. 19, Issue 8, pp. 1701-1711 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001701


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Abstract

The angular spectrum representation of the electromagnetic Green’s tensor has a part that is a superposition of exponentially decaying waves in the +z and -z directions (evanescent part) and a part that is a superposition of traveling waves, both of which are defined by integral representations. We have derived an asymptotic expansion for the z dependence of the evanescent part of the Green’s tensor and obtained a closed-form solution in terms of the Lommel functions, which holds in all space. We have shown that the traveling part can be extracted from the Green’s tensor by means of a filter operation on the tensor, without regard to the angular spectrum integral representation of this part. We also show that the so-called self-field part of the tensor is properly included in the integral representation, and we were able to identify this part explicitly.

© 2002 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(240.6690) Optics at surfaces : Surface waves
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: November 19, 2001
Revised Manuscript: February 28, 2002
Manuscript Accepted: March 11, 2002
Published: August 1, 2002

Citation
Henk F. Arnoldus and John T. Foley, "Traveling and evanescent parts of the electromagnetic Green’s tensor," J. Opt. Soc. Am. A 19, 1701-1711 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-8-1701

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