Adiabatic spectra for tapered dielectric waveguides
Abstract
A source-excited wave equation with nonseparable boundary conditions for a two-dimensional weakly tapered homogeneous dielectric layer is solved. The source-excited wave fields are synthesized by local plane wave spectra, and the scaled spectra are obtained by applying an adiabatic transform (AT), which generalizes the conventional Fourier transform for plane parallel structures, to the axial coordinate of the source-excited wave equation. After solving the reduced spectral equation the full Green function is synthesized by the inverse AT. An example applying the AT to a wedge-tapered configuration is presented.
- Publication:
-
Archiv Elektronik und Uebertragungstechnik
- Pub Date:
- October 1986
- Bibcode:
- 1986ArElU..40..259F
- Keywords:
-
- Adiabatic Equations;
- Boundary Value Problems;
- Dielectrics;
- Tapering;
- Waveguides;
- Boundary Conditions;
- Fourier Transformation;
- Green'S Functions;
- Integral Equations;
- Line Spectra;
- Electronics and Electrical Engineering