Investigation of electromagnetic field in a layer with time-varying medium by Volterra integral equation method

The application of the Volterra integral equation method for investigations of the interaction of electromagnetic fields with a one-dimensional time-varying dielectric layer is considered. The medium permittivity inside the layer may change in time owing to a nonlinearity as well as to extrinsic sources. Original software for the computer modeling of such an interaction is developed. Numerical results are presented and a comparison made between the accuracy and stability of integral equation method and the finite-difference time-domain (FDTD) method.