Asymptotic analysis of planar and cylindrical inhomogeneous waveguides | Zendy

Arnold J. M. | Zendy

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Asymptotic analysis of planar and cylindrical inhomogeneous waveguides

Author(s) -

Arnold J. M.

Publication year - 1981

Publication title -

radio science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.371

H-Index - 84

eISSN - 1944-799X

pISSN - 0048-6604

DOI - 10.1029/rs016i004p00511

Subject(s) - planar , cladding (metalworking) , eigenvalues and eigenvectors , mathematical analysis , boundary value problem , mathematics , transformation (genetics) , homogeneous , waveguide , differential equation , asymptotic analysis , nonlinear system , method of matched asymptotic expansions , optics , physics , computer science , materials science , biochemistry , chemistry , computer graphics (images) , quantum mechanics , combinatorics , metallurgy , gene

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.

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