Title :
A vector Galerkin´s method based on E fields
Author :
Wang, Sung-Yuen ; Lee, Wei-Yu ; Hwang, Shug-June
Author_Institution :
Dept. of Electr. Eng., Tatung Inst. of Technol., Taipei, Taiwan
Abstract :
To find approximate solutions of the vector wave equation for general dielectric optical waveguides, a vector Galerkin´s method based on the transverse electric field (E formulation) is formulated and presented. The method is compared with the exact solution for a circular step-index fiber, and a agreement in beta /k to 0.4% with 16 basis functions in each of the two orthogonal directions is found. It is noted that the Hermite-Gaussian basis functions can overcome the difficulties in the choice of the adequate size of the enclosed domain.<>
Keywords :
claddings; electric fields; optical fibre theory; refractive index; E fields; E formulation; Hermite-Gaussian basis functions; approximate solutions; basis functions; circular step-index fiber; dielectric optical waveguides; enclosed domain; exact solution; optical fibre analsis; orthogonal directions; transverse electric field; vector Galerkin´s method; vector wave equation; Dielectric devices; Geometrical optics; H infinity control; Laplace equations; Moment methods; Optical devices; Optical waveguides; Partial differential equations; Refractive index; Space technology;
Journal_Title :
Photonics Technology Letters, IEEE
