Title :
A finite-difference frequency-domain method that introduces condensed nodes and image principle
Author :
Afande, Messan M. ; Wu, Ke ; Giroux, Marcel ; Bosisio, Renato G.
Author_Institution :
Dept. de Genie Electr., Ecole Polytech. de Montreal, Que., Canada
fDate :
4/1/1995 12:00:00 AM
Abstract :
A new finite-difference frequency-domain formulation is derived from the integral form of Maxwell´s equations. Condensed cubic cell and 3D node are proposed thereby eliminating field discontinuity in the discrete space domain. Deterministic solutions using a reduced 2D condensed node are also presented for standard eigenvalue problems. This method is free from spurious modes by reinforcing electric and magnetic flux conservation among neighboring cells. An image concept is introduced to model field boundaries. Numerical results are presented for the complex propagation constant to demonstrate convergence behavior and accuracy of the proposed approach. Modal field profiles of various guided modes are shown for dielectric waveguides
Keywords :
Maxwell equations; dielectric waveguides; eigenvalues and eigenfunctions; finite difference methods; frequency-domain analysis; waveguide theory; 3D node; Maxwell´s equations; complex propagation constant; condensed cubic cell; condensed nodes; convergence behavior; dielectric waveguides; discrete space domain; field boundaries; finite-difference frequency-domain method; flux conservation; guided modes; image principle; modal field profiles; reduced 2D condensed node; standard eigenvalue problems; Boundary conditions; Eigenvalues and eigenfunctions; Finite difference methods; Frequency domain analysis; Integral equations; Iterative methods; Magnetic flux; Maxwell equations; Optical waveguides; Time domain analysis;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
