DocumentCode
1231259
Title
The orthogonality relation for TE- and TM-modes in guided-wave optics
Author
Seligson, Joel
Author_Institution
Eastman Kodak Co., Rochester, NY, USA
Volume
6
Issue
8
fYear
1988
fDate
8/1/1988 12:00:00 AM
Firstpage
1260
Lastpage
1264
Abstract
The orthogonality relation between two arbitrary noncollinear modes in a slab waveguide is derived. The use of noncollinear modes makes it possible to calculate the orthogonality relation between the mode amplitudes of a TE- and a TM-mode, which in the collinear case is masked by the vector orthogonality of the modes. The discrepancy between the present results and those of G.I. Stegeman et al. (1981) is discussed. The derived orthogonality relation is more complex than the corresponding relation between the amplitudes of either two TE-modes or two TM-modes. Consequently, the utility of coupled-mode analysis for solving problems involving TE-TM interactions is severely restricted
Keywords
guided light propagation; optical modulation; optical waveguide theory; optical waveguides; TE-TM interactions; TE-mode; TM-modes; coupled-mode analysis; guided-wave optics; noncollinear modes; orthogonality relation; slab waveguide; Bragg gratings; Coupled mode analysis; Dielectrics; Helium; Maxwell equations; Optical pumping; Optical waveguides; Permittivity; Slabs; Vectors;
fLanguage
English
Journal_Title
Lightwave Technology, Journal of
Publisher
ieee
ISSN
0733-8724
Type
jour
DOI
10.1109/50.4128
Filename
4128
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