Determination of special eigenwaves as a result of amplitude measurements

A. V. Golovtsov^a, V. S. Mokeichev<sup>b

a</sup> Kazan (Volga Region) Federal University, Kazan, Russia
^b Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: An analytical formula for a special wave, which allows one to calculate wave energy and vibration frequency (in case of a vibrating wave) and to find out a minimum amount of necessary measurements, is written out depending on the measured amplitude values. The direct and inverse problems are solved.

Keywords: wave equation, wave, direct and inverse problems.

UDC: 517.2+517.928.4

Received: 11.12.2012