STUDY OF MILLIMETER-WAVE WAVEGUIDES USING A 2-D ORDER-MARCHING TIME-DOMAIN METHOD

In this paper, the application of the order-marching time-domain (OMTD) method to the solution of the cutoff frequencies of TE and TM modes in millimeter-wave waveguides is described. Starting from Maxwell’s two-dimensional (2-D) differential equations for TE or TM case, the OMTD method uses the orthonormality of weighted Laguerre polynomials and Galerkin’s testing procedure to eliminate the temporal variables and results in an order-marching scheme. To verify it’s accuracy and efficiency, the numerical results for millimeter-wave guided systems are compared with those of finite-difference time-domain (FDTD) method and analytical solutions. The OMTD method improves computational efficiency notably, especially for fine grid division problems restricted by stability constraints in the FDTD method.