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Body fitted grid generation with moving boundary and its application for dielectric waveguides
Author(s) -
Kuroda Shigeaki,
Kuroda Michiko
Publication year - 1993
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1660060205
Subject(s) - waveguide , boundary value problem , grid , dielectric , polarization (electrochemistry) , physics , electromagnetic field , optics , laplace transform , realization (probability) , boundary (topology) , mathematical analysis , mathematics , optoelectronics , geometry , quantum mechanics , chemistry , statistics
The stress birefringence and mode coupling effects in polarization‐preserving fibres are most important problems which need to be improved. For a realization of some optical devices, the dielectric waveguide with sinusoidally varying circular cross‐section has been investigated. It becomes very important to analyse the electromagnetic field distribution in a dielectric waveguide with a time‐dependent moving boundary. This paper shows that numerical methods can simulate the effect of the external disturbance on the dielectric waveguide from time to time. The author has discussed body fitted grid generation with moving boundary for the Poisson and Laplace equations. 1,2 We have extended this technique for Maxwell's equation. The technique employs a kind of an expanded numerical grid generation. As the author adds the time component to grid generation, the time dependent co‐ordinate system which coincides with a contour of moving boundary can be transformed into a fixed rectangular co‐ordinate system. We could show the electric distribution in the waveguide time by time to verify the possibility of an application for an optical fibre. This technique makes it possible not only to analyse the effect of the external disturbance in a coherent optical communication system but also to fabricate optical devices.