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Complex propagation constants for nonuniform optical waveguides: Calculations
Author(s) -
Gallawa R. L
Publication year - 1993
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650060811
Subject(s) - planar , propagation constant , waveguide , hermite polynomials , formalism (music) , refractive index , gaussian , mathematical analysis , basis function , optics , physics , beam propagation method , mathematics , position (finance) , quantum mechanics , computer science , art , computer graphics (images) , finance , economics , visual arts , musical
A method of calculating the complex propagation constant of a planar optical waveguide under very general but weakly guiding conditions is derived. The method, based on Galerkin 's formalism using Hermite‐Gaussian basis functions, allows a nonuniform and complex refractive index profile. The real and imaginary parts of the index are allowed to vary independently and arbitrarily as a function of position. The planar waveguide is used so the results can be compared with exact solutions. The method is more general than this, however, and can be used with any geometry. The results are inherently stationary. © 1993 John Wiley & Sons, Inc.