Asymptotic analysis of planar and cylindrical inhomogeneous waveguides
Article first published online: 7 DEC 2012
Copyright 1981 by the American Geophysical Union.
Volume 16, Issue 4, pages 511–518, July-August 1981
How to Cite
1981), Asymptotic analysis of planar and cylindrical inhomogeneous waveguides, Radio Sci., 16(4), 511–518, doi:10.1029/RS016i004p00511.(
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 23 DEC 1980
The problem of determining the eigenvalues of an inhomogeneous waveguide, subject to boundary conditions at an interface with an exterior homogeneous medium (cladding) is considered. A recently developed asymptotic method is summarised. Previous work dealt with planar waveguides; here we incorporate the extensions necessary to accommodate cylindrical waveguides, as encountered in optical fibres. The method uses a nonlinear transformation between variables to reduce a given differential equation to canonical form; this transformation has more tractable asymptotic properties than the original differential equation.