Title :
On the modification of the method of the Riemann-Hilbert problem
Author_Institution :
Kharkov State Univ., Ukraine
Abstract :
A rigorous solution of the problem the E-polarized plane wave scattering by a strip grating which resides on a planar interface between two dielectrics is given. The set of functional equations containing the “smallness” parameter differing from that of Shestopalov (1971) is used in a mathematical model of the given boundary value problem. As a result, the coefficients of the obtained set of linear algebraic equations of the second kind are expressed in terms of the Legendre polynomials and do not contain the Legendre functions
Keywords :
Legendre polynomials; boundary-value problems; diffraction gratings; electromagnetic wave polarisation; electromagnetic wave scattering; functional equations; linear algebra; E-polarized plane wave scattering; Legendre polynomials; Riemann-Hilbert problem; boundary value problem; coefficients; dielectric; functional equations; linear algebraic equations; mathematical model; planar interface; rigorous solution; smallness parameter; strip grating; Boundary value problems; Dielectrics; Diffraction; Electromagnetic scattering; Equations; Gratings; Light scattering; Mathematical model; Polynomials; Strips;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 1998. MMET 98. 1998 International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-4360-3
DOI :
10.1109/MMET.1998.709886
