Specialization: 011200 Physics
Profile: 01 Wave processes and methods of their investigation
Profile manager: head of department, prof. N.N. Zernov 
Department of Radiophysics  
Supervisor: prof. N.N. Zernov
Referee: prof. M.A. Bisyarin

Two-scale expansions in the problems of high frequency wave field propagation in the inhomogeneous ionosphere
A.F. Markov

The work is devoted to problem of wave field propagation in the smoothly irregular refractive waveguide in the approximation of parabolic equation. That is the transversal dependence scale of waveguide is assumed to be small in comparison with longitudinal dependence scale. This fact permits to use the two-scale expansion method for solving the ray equations following the quasi-classic approximation of initial equation. For some models of medium transversal dependence the rays can be found explicitly using the expressions of this method. Also the eikonal and amplitude level of the field can be found in some cases.

The list of the publications
1.	Марков А.Ф. Двухмасштабные разложения в задачах распространения высокочастотных полей в неоднородной ионосфере / А. Ф. Марков // XVIII Всероссийская научная конференция студентов-радиофизиков: тезисы докладов,  СПб, 21–23 апреля, 2015 – с. 34–36.