UDC 537.874; 
537.624 
        
        
        Two Simple Algorithms for Determination of the Amplitudes of Inner and 
        External Oscillations by Wave Propagation in the Opposite Directions in 
        Multilayer Nonuniform Structure  
 
        
        I. 
        V. 
        Antonets 
        1,
        
        L. 
        N.
        
        Kotov 
        1,
        
        V. 
        G. 
        Shavrov 
        2,
        
        V. 
        I .Shcheglov 
        2
        
        1 
        Syktyvkar State University, Syktyvkar, Russia
        
        2 
        Kotel’nikov Institute of Radio Engineering and Electronics, Moscow, 
        Russia
        
Received 
January 15, 2013 
 
Abstract. Two simple algorithms are
proposed for deriving analytical expressions for the amplitudes of outgoing and
inner waves in multilayer stepwise inhomogeneous structure by the incidence of
two counterpropagating waves. The work of these algorithms is demonstrated on
the analytical solution for three, four and five layer structure and numerical
solve of waves propagation in structure with linear changing of  along its
length. It is shown that these algorithms can applied to problems on propagation
of electromagnetic waves in the cases of the normal and oblique incidence. 
Keywords: wave propagation,
multilayer nonuniform structure.