Enhancement of Laguerre-FDTD with Initial Conditions for Fast Transient EM/Circuit Simulation

In this paper, a companion model for the 3D FDTD grid, to perform transient simulation using Laguerre-polynomials, has been presented. The circuit model of the FDTD grid permits the problem to be solved in a modified nodal analysis (MNA) framework, making the matrix setup systematic and easier. In addition, companion models for an inductor, capacitor and mutual inductance have been derived. These models enable linear transient circuit simulation with Laguerre-polynomials using MNA analysis. Prior work in this topic has the limitation of being able to simulate only for a certain time-duration. An efficient solution has been proposed to overcome this limitation, so that simulation can be done for all time.