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Numerical analysis of an embedded optical waveguide
Author(s) -
Yasuura Kamenosuke,
Miyamoto Tokuo
Publication year - 1982
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs017i001p00093
Subject(s) - superposition principle , rayleigh scattering , waveguide , dispersion relation , mathematical analysis , mathematics , boundary value problem , boundary (topology) , optics , dispersion (optics) , field (mathematics) , plane (geometry) , numerical analysis , matching (statistics) , rayleigh distribution , physics , geometry , statistics , pure mathematics
The analytical foundations of the mode‐matching method, based on the Rayleigh principle, are presented for the problem of an unbounded object. This method is applied to the numerical analysis of an embedded optical waveguide. The Rayleigh principle for an unbounded object is derived through the transition process from periodic structure to an open system. In the mode‐matching method, the approximate fields are represented by the superposition of plane waves with band‐limited spatial spectra. These fields are matched to the boundary conditions in the least squares sense. The uniform convergency of the sequence of the approximate fields is ensured by the Rayleigh principle. The dispersion relation and the field distribution are calculated, and the propagation characteristics of each guided mode are investigated.