In this work the main problems of 3D photonic crystal modeling have been analyzed and the ways for solving them have been considered. As main algorithm of computational modeling local-recursive nonlocal-asynchronous (LRnLA) method for Maxwell equations have been realized and optimized using special absorbing conditions PML (Perfectly Matched Layer). The high effectiveness of this algorithm have been shown. An example of computation have given, different degree of electromagnetic waves' passing through photonic crystal have been illustrated.

Mathematical modelling in actual problems of science and technics