MODELS IN PHYSICS AND TECHNOLOGY

Invariant embedding method modification for calculation of “woodpile” photonic crystal

V. L. Kuznetsov, A. S. Rudkovskiy

Moscow State Technical University of Civil Aviation, Faculty of Applied Mathematics and Computer Science, MSTU CA, 20, Kronstadt Boulevard, Moscow, 125993, Russia

Abstract: Modification of the invariant imbedding method to describe the interaction of 3D electromagnetic field with “woodpile” photonic crystal of finite thickness is considered in this paper. This modification allows solving a problem of evanescent modes resonant amplification during numerical calculations for the first layer of photonic crystal. The mathematical model created in this work gives good agreement with physical experiment results

Keywords: Invariant embedding method, Photonic crystal, Evanescent modes, Resonances.

UDC: 537.877

Received: 02.04.2013

DOI: 10.20537/2076-7633-2013-5-3-413-422