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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. 10, Iss. 10 — Oct. 1, 1993
  • pp: 2208–2216

Reformulation for the beam-propagation method

Charles Vassallo  »View Author Affiliations


JOSA A, Vol. 10, Issue 10, pp. 2208-2216 (1993)
http://dx.doi.org/10.1364/JOSAA.10.002208


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Abstract

Splitting scalar fields into a sum of counterpropagating waves leads to formulation of the Helmholtz equation as two coupled parabolic partial differential equations. This rigorous formalism naturally leads to the beam-propagation method (BPM) equation when the backward-propagating field is neglected, but it also permits discussion of various corrections. Two problems specifically are analyzed: wide-angle propagation in near-uniform systems and propagation through lenslike systems, with a strongly discontinuous refractive index. Finally, a BPM modeling is proposed for fiber microlens operation.

© 1993 Optical Society of America

History
Original Manuscript: November 2, 1992
Revised Manuscript: March 9, 1993
Manuscript Accepted: April 21, 1993
Published: October 1, 1993

Citation
Charles Vassallo, "Reformulation for the beam-propagation method," J. Opt. Soc. Am. A 10, 2208-2216 (1993)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-10-10-2208

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