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.