Finite-difference derivation of the reflectivity at output facets of dielectric waveguides with a highly diverging output beam
JOSA A, Vol. 15, Issue 3, pp. 717-726 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000717
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Abstract
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
[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
Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-3-717
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