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The exclusion method for calculation of wave propagation through multilayer nonuniform stepwise structure
I. V. Antonets 1, L. N. Kotov 1, V. G. Shavrov 2, V. I. Shcheglov 2

1 Syktyvkar State University, Syktyvkar, Russia

2 V.A. Kotelnikov Institute of Radio Engineering and Electronics of RAS, Moscow


Received April 16, 2013

Abstract. The method of calculation reflected and penetrated waves amplitudes accompanying the two travelling in the opposite directions waves falling on the multilayer stepwise nonuniform structure is offered. This method is named as “exclusion method”. It is found the conjugate conditions, the forward transmission conversions and recurrent formulas for functional coefficients which allow to find the outgoing from the structure waves amplitudes through the incoming waves amplitudes for arbitrary quantity of layers. The method capacity for work is demonstrated on numerical example of multilayer structure consisted of ten layers. It is shown that these method can be applied to problems on propagation of electromagnetic waves in the cases of the normal and oblique incidence.

Key words: wave propagation, multilayer nonuniform structure.