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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. 3 — Mar. 1, 2011
  • pp: 401–409

TE and TM beam decomposition of time-harmonic electromagnetic waves

Timor Melamed  »View Author Affiliations


JOSA A, Vol. 28, Issue 3, pp. 401-409 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000401


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Abstract

The present contribution is concerned with applying beam-type expansion to planar aperture time-harmonic electromagnetic field distribution in which the propagating elements, the electromagnetic beam-type wave objects, are decomposed into transverse electric (TE) and transverse magnetic (TM) field constituents. This procedure is essential for applying Maxwell’s boundary conditions for solving different scattering problems. The propagating field is described as a discrete superposition of tilted and shifted TE and TM electromagnetic beams over the frame-based spatial–directional expansion lattice. These vector wave objects are evaluated either by applying differential operators to scalar beam propagators, or by using plane-wave spectral representations. Explicit asymptotic expressions for scalar, as well as for electromagnetic, Gaussian beam propagators are presented as well.

© 2011 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(080.2720) Geometric optics : Mathematical methods (general)
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: December 20, 2010
Manuscript Accepted: January 18, 2011
Published: February 25, 2011

Citation
Timor Melamed, "TE and TM beam decomposition of time-harmonic electromagnetic waves," J. Opt. Soc. Am. A 28, 401-409 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-3-401

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