The Riemann-Hilbert problem method in the theory of electromagneric wave diffraction by periodic structures

Authors

  • V. V. Khoroshun Kharkiv National University, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2005.1497003

Keywords:

diffraction, mathematical model, set of equations, current density, grating

Abstract

A modern treatment of the Riemann-Hilbert problem method (the AMSh method) which is one of the classical methods of mathematical theory of waves diffraction by gratings is given. The AMSh method’s modifications in terms of the field strengths and current’s representations are considered. The results of the numerical modelling are presented.

References

AGRANOVICH, Z.S.; MARCHENKO, V.A.; SHESTOPALOV, V.P. The diffraction of electromagnetic waves from plane metallic lattices. Sov. Phys. Tech. Phys., 1962, v.7, n.4, p.277.

MALIN, V.V. On the theory of finite period strip grating. Radiotekhnika i Electronika, 1963, v.8, n.2.

PLESHCHINSKII, N.B. An Applications of the Theory of Integral Equations with Logarithmic and Power Kernels. Kazan: Kaz. University Publ., 1987 [in Russian].

KHOROSHUN, V.V. On the modification of the Riemann-Hilbert problem method for the case of plane electromagnetic wave obhque incidence on strip grating. Vestnik KhGU. Radiophys. Electron., 1998, n.405, p.137.

ICATT 2005 cover

Published

2005-06-06

Issue

2005: ICATT’2005 - Proc. of V Int. Conf. on Antenna Theory and Techniques

Section

Analytical and numerical techniques