An efficient 2-D FDTD algorithm using real variables (guided wave structure analysis)

Abstract

A two-dimensional finite-difference-time-domain (FDTD) method is proposed for the full-wave analysis of arbitrarily shaped guided wave structures. By using a phase shift beta Delta z along the z-direction (propagation direction), and assuming the limiting case of Delta z approaching zero, the propagation constant of hybrid modes is calculated using a two-dimensional mesh with a truly two-dimensional grid. When the field equation is multiplied by an additional factor j, only real variables are needed in the computation, leading to a very fast algorithm.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>