Finite-Difference Time-Domain Solution for Maxwell's Equations

This MATLAB M-file implements the finite-difference time-domain (FDTD) solution of Maxwell's curl equations over a one-dimensional space lattice composed of uniform grid cells. The FDTD method is a numerical analysis technique primarily used for solving electromagnetic wave propagation problems in various media. The implementation typically involves discretizing both time and space domains using central difference approximations, with electric and magnetic field components staggered in both time and space (Yee lattice arrangement). This method can be used to study electromagnetic wave propagation, reflection, and refraction phenomena. For example, it can calculate electromagnetic wave attenuation in metals, optical transmission in fibers, and analyze electromagnetic behavior at microscopic scales. The code structure generally includes initialization of field arrays, implementation of update equations for E and H fields using finite differences, and boundary condition handling (such as absorbing boundary conditions like PML). Specific applications include computing electromagnetic wave transmission at micro/nano scales and analyzing optical responses in micro/nanostructures. The algorithm operates by iteratively updating electric and magnetic field values across the grid while enforcing stability conditions (Courant condition) to ensure numerical convergence. Key functions may include field initialization, time-stepping loops, boundary condition implementation, and result visualization routines.