Title :
Guided-wave characteristics of optical graded-index planar waveguides with metal cladding: a simple analysis method
Author :
Lee, Wei-Yu ; Wang, Sung-Yuen
Author_Institution :
Dept. of Electr. Eng., Tatung Inst. of Technol., Taipei, Taiwan
fDate :
3/1/1995 12:00:00 AM
Abstract :
The guided mode characteristics of metal-clad graded-index waveguides are generally determined by complex eigenvalue equations or perturbative methods. However, these methods either require several iterations in the complex plane or are only suited to the class of waveguides whose guided field can be described analytically. We describe a method of calculating complex propagation constants for metal-clad graded-index waveguides under very general but weakly guiding conditions. The method, based on Galerkin´s formalism using trigonometric basis functions, allows arbitrary inhomogeneous and complex refractive index profiles. Applications to three generally used waveguide models show our approach to be in good agreement with other analytical or numerical methods
Keywords :
Galerkin method; claddings; gradient index optics; metallic thin films; numerical analysis; optical planar waveguides; optical waveguide theory; refractive index; Galerkin´s formalism; analytical methods; arbitrary inhomogeneous refractive index profiles; complex eigenvalue equations; complex plane; complex propagation constants; complex refractive index profiles; guided mode characteristics; guided-wave characteristics; iterations; metal cladding; metal-clad graded-index waveguides; numerical methods; optical graded-index planar waveguides; perturbative methods; simple analysis method; trigonometric basis functions; waveguide models; weakly guiding conditions; Optical attenuators; Optical films; Optical filters; Optical losses; Optical planar waveguides; Optical refraction; Optical variables control; Optical waveguides; Planar waveguides; Propagation constant;
Journal_Title :
Lightwave Technology, Journal of
