Modeling electromagnetic wave propagation using difference solutions to Maxwell's equations

Advances in numerical methods and progress in the computer hardware made possible numerical solution of Maxwell's equations. Thus, imposing adequate boundary conditions and substituting into the equations medium parameters enables the simulation of light propagation in various media. We developed difference schemes making it possible to model optical processes that occur when various types of light waves travel through optical elements, such as diffractive lenses and antireflecting gratings.