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A Memory-Reduced 2-D Order-Marching Time-Domain Method for Waveguide Studies

In this paper, a memory-reduced (MR) 2-D order-marching time-domain (OMTD) method for uniform waveguides is proposed. The OMTD method uses weighted Laguerre polynomials and Galerkin's testing procedure to eliminate the temporal variables and results in an unconditionally stable scheme. Although the OMTD method may be more efficient than the finite-difference time-domain (FDTD) method with too many time steps to complete a simulation, it has to deal with matrix inversion. To reduce its high computer memory requirements and computational power when analyzing complicated geometries, the divergence theorem is introduced to obtain a more memory-efficient matrix equation. Two waveguide examples are presented to validate the accuracy and efficiency of our algorithm.