Title: Рекомендация руководителя базовой НИР 11
Author: NAME

Specialization : 010700/19 Physics
Program : Wave processes and methods of their study
Program Manager: G. I. Makarov
Department of Radiophysics
Supervisor: Dr. Sci., prof., G. F. Remenets
Reviewer: Сand. Sci., doc.,V. E. Germ

Determination of the southern boundary of the ultra relativistic electrons precipitation
Kustov Andrei

The problem of determination of the southern boundary of an ultra relativistic electron precipitation (~ 100 MeV) into polar atmosphere from near space was reviewed and analyzed numerically. The analysis was based on the experimental VLF-data for the entire auroral (short) and partly auroral (long) radio passes. This task was solved in two steps:
   At first step according to 6 experimental VLF-magnitudes (3 amplitudes and 3 phases as functions of the disturbance time) for the short radio pass the electrical properties of the ionized layer of the atmosphere as a function of time including their initial values were defined. These values were found due to minimization of a discrepancy functional in which the experimental and theoretical signals as time functions were compared.
   At second step by minimization of a new discrepancy functional between the experimental (1 amplitude and 1 phase) 16 kHz signal and the calculated one for the long radio pass the latitudinal boundary between the perturbed and unperturbed parts of the waveguide boundary was determined.
   So we found that for a given disturbance on May 12, 1987 the latitude of the southern boundary of the ultra relativistic electron precipitation was about 64°. This kind of inverse VLF problem nobody solved before us.

List of publications
   1. A.A. Kustov. Solution of an inverse problem for VLF-disturbance, which gives the southern border of ultra relativistic electron precipitation ( ~ 100 MeV) into the polar atmosphere. In: The XV all-Russian Scientific Conference of the Radio Physics Students.. Abstracts. St. Petersburg. p. 66. 2011 y.