Time Domain Finite Difference Method (TD-FDM) Source Code

The Time Domain Finite Difference Method (TD-FDM) source code is a computational program designed to solve arbitrary transmission line problems. The TD-FDM algorithm represents a numerical simulation approach for solving electromagnetic field problems, including radar wave propagation, cable transmission, and antenna radiation scenarios. The implementation models transmission line problems as circuits containing multiple inductors, capacitors, and resistors, solving the circuit's time evolution through discrete time-stepping methods. The core algorithm employs finite difference approximations to solve Maxwell's equations in the time domain, typically implemented using leapfrog time-stepping where electric and magnetic fields are updated alternately. Key computational aspects include boundary condition handling, stability criteria enforcement through Courant condition, and field component updates at each time step. The program computes voltage and current distributions along transmission lines and enables comparison with theoretical solutions for validation purposes. Detailed implementation explanations, including the main update loop structure, field component initialization, and convergence monitoring, are documented in the timeUpdt.m program file along with comprehensive usage guidelines.