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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 717–726

Finite-difference derivation of the reflectivity at output facets of dielectric waveguides with a highly diverging output beam

Charles Vassallo  »View Author Affiliations

JOSA A, Vol. 15, Issue 3, pp. 717-726 (1998)

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Brute force numerical computations are considered for the reflectivity of the output facet of a dielectric waveguide with or without an antireflection coating. Only scalar fields are considered, mainly in two-dimensional systems, through both exact equations and a series expansion, discretized with finite differences. A fair approximation of the series can be obtained with fast Fourier transforms (FFT’s) only, with neither matrix inversion nor diagonalization. Junctions with a highly diverging output beam require a very large computational domain that can be coped with FFT methods only. This is emphasized through the detailed analysis of a three-dimensional example.

© 1998 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(260.2110) Physical optics : Electromagnetic optics
(310.1210) Thin films : Antireflection coatings

Original Manuscript: May 19, 1997
Revised Manuscript: September 4, 1997
Manuscript Accepted: October 10, 1997
Published: March 1, 1998

Charles Vassallo, "Finite-difference derivation of the reflectivity at output facets of dielectric waveguides with a highly diverging output beam," J. Opt. Soc. Am. A 15, 717-726 (1998)

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