Higher-order mode theory of three-dimensional irregular waveguides
Article first published online: 7 DEC 2012
Copyright 1993 by the American Geophysical Union.
Volume 28, Issue 3, pages 339–350, May-June 1993
How to Cite
1993), Higher-order mode theory of three-dimensional irregular waveguides, Radio Sci., 28(3), 339–350, doi:10.1029/92RS01925.(
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 5 AUG 1992
- Manuscript Received: 29 JAN 1991
The method of asymptotic solution of waveguide equations for higher-order modes is generalized to the three-dimensional case. Geometrical optics and full wave-type solutions are constructed in the form of integral representations. In the geometrical optics case, two sorts of partial waves are used to construct the integral representation of the field: ray-type waves and Gaussian beam-type waves. In full wave solution the elementary waves of the integral representation are constructed by means of complex phase in Fresnel diffraction approximation for forward scattering. Asymptotic integral representations developed take into account coupling of the modes, describe the multiray effects and focusing of the higher-order mode field. The method is valid for waveguides with either varying height or varying boundary conditions and dielectric properties.