On the solvability of the integral electric field equation for nonabsorbing media 

Yuriy G. Smirnov, Doctor of physical and mathematical sciences, professor, head of the sub-department of mathematics and supercomputer modeling, Penza State University (40 Krasnaya street, Penza, Russia),: mmm@pnzgu.ru

Background. The problem of solvability of the electric field integral equation for non-absorbing media is considered. Materials and methods. The method of quadratic forms is applied to investigation of the operators of the problem. Results and conclusions. The study proves the continuous reversibility of the operator of the electric field equation in the case of plane screens and nonabsorbing media.

integral equation, non-absorbing medium, solvability of the problem

Smirnov Yu.G. On the solvability of the integral electric field equation for nonabsorbing media. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Fizikomatematicheskie nauki=University proceedings. Volga region. Physical and mathematical sciences. 2024;(1):38–50. (In Russ.). doi: 10.21685/2072-3040-2024-1-4