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Diffraction of electromagnetic waves on a cylindrical lens made of a photonic crystal formed by hollow metal cylinders

Igor V. Donets,1, Alexander M. Lerer,1, Svetlana M. Tsvetkovskaya,2
1 Southern Federal University, Rostov-on-Don, Russia
2 Don State Technical University, Rostov-on-Don, Russia

Abstract

The problem of diffraction of an electromagnetic wave on a cylindrical lens of finite dimensions in its cross section is solved. The lens material is a photonic crystal (FC) formed by hollow thick-walled perfectly conducting cylinders of finite height that are equally oriented along the axis of the lens. FC of this design is technologically advanced in manufacturing and has a low weight. The diffraction problem is solved by strict electrodynamic method with the satisfaction of boundary conditions on each of several hundred cylinders forming an elementary spatial cell repeating along the axis of a cylindrical lens. This approach is free from the critical features of FC homogenization with the subsequent solution of the diffraction problem on a lens made of a homogeneous magneto - dielectric. A highly efficient algorithm with a short time of computer calculations has been created.

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Donets I.V.
Southern Federal University
Russia

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