Ray Theory of Reflection from the Open End of a Waveguide
| Autor: | J. B. Keller, H. Y. Yee, L. B. Felsen |
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| Rok vydání: | 1968 |
| Předmět: | |
| Zdroj: | SIAM Journal on Applied Mathematics. 16:268-300 |
| ISSN: | 1095-712X 0036-1399 |
| DOI: | 10.1137/0116023 |
| Popis: | Ray methods have been widely used to calculate high frequency scattering by objects in an unbounded medium, but they have not been used much for waveguide problems. To show that they can be used for waveguides, we treat by ray methods reflection from an open-ended parallel plane waveguide propagating several modes. The incident mode is decomposed into two plane waves whose scattering by the edges at the termination produces the reflected field. The singly diffracted cylindrical wave originating at each. edge, which is known from the asymptotic theory of diffraction by a single wedge, is represented by means of diffracted rays. Then the stem of the fields on the multiply reflected rays is converted into modal form. This yields formulas for the reflection coefficients in the various modes due to single diffraction. In addition double and multiple diffraction are also taken into account, yielding improved formulas for the reflection coefficients. The results of extensive numerical calculations for $TE$ and $... |
| Databáze: | OpenAIRE |
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