Title :
The Over-Determined Cauchy Problems for the Maxwell Equations Set and Electromagnetic Waves Diffraction on the Metallic Screens
Author :
Pleshchinskaya, I.E. ; Pleshchinskii, N.B.
Author_Institution :
Chebotarev Inst. of Math. & Mech., Kazan State Univ.
Abstract :
The overdetermined Cauchy problems for the Maxwell equations set in semi-spaces are investigated in the space of distributions by Fourier integral transform method. The relations between traces of the tangential components of the electric and magnetic fields are obtained. The solution of auxiliary jump problem on the plane is constructed in the closed form. The different variants of the reducing the electromagnetic wave diffraction problem on the metallic screens to integral equations are proposed
Keywords :
Fourier transforms; Maxwell equations; electric fields; electromagnetic wave diffraction; integral equations; magnetic fields; Fourier integral transform; Maxwell equations set; auxiliary jump problem; electric fields; electromagnetic wave diffraction; integral equations; magnetic fields; metallic screens; overdetermined Cauchy problems; tangential components; Electromagnetic diffraction; Electromagnetic fields; Electromagnetic scattering; Fourier transforms; Helium; Integral equations; Magnetic fields; Mathematics; Maxwell equations;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2006 International Conference on
Conference_Location :
Kharkiv
Print_ISBN :
1-4244-0490-8
DOI :
10.1109/MMET.2006.1689840
