NUMERICAL SOLUTION OF THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION
ON THE COPOUND BODY, LOCATED IN FREE SPACE 

Medvedik Mikhail Yur'evich, Candidate of physical and mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University (Penza, 40 Krasnaya str.), medv@mail.ru
Shchukina Anna Aleksandrovna, Student, Penza State University (Penza, 40 Krasnaya str.), mmm@pnzgu.ru
Rodionova Irina Anatol'evna, Candidate of physical and mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University (Penza, 40 Krasnaya str.), mmm@pnzgu.ru 

517.3 

Objective of the work is to study the process of electromagnetic waves distribution in bodies located in free space and the behavior of the surface currents on the body of arbitrary geometrical shape. To solve the said problem the authors use the method of volume singular integral equations. For rectangular parallelepiped-
shaped bodies the researchers construct a computational grid. The authors introduce basic functions that comply with the condition of approximation. The integral equation is reduced to a system of linear algebraic equation with the help of a projection method. Using the subhierarchic method the problem is solved on the
body of arbitrary geometrical shape. The researchers suggest an efficient numerical solution to the considered problem. Via the said method the authors have obtained the diffraction problem solutions for several homogeneous bodies of different geometrical shape. 

problem of diffraction, integral equation, method of collocation, numerical results. 

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