Title :
Low-frequency electromagnetic scattering on the circular crack in a conductive body
Author :
Nazarchuk, Z.T. ; Kulynych, Ya.P. ; Koval, O.S.
Author_Institution :
Karpenko Physiko-Mech. Inst., NASU, Lviv, Ukraine
Abstract :
Modelling the crack as mathematical surface on which specified some distribution of electrical dipoles and using the method of small parameter the problem of scattering of the electromagnetic field on the circular crack adducted to system of the hypersingular integral equations of the Newtonian potential type. For the solution the method of orthogonal polynomials of two variables was proposed. Demonstrated that value of equivalent moment of dipole of the crack proportionate to normal component of the external low-frequency electric field.
Keywords :
electromagnetic fields; electromagnetic wave scattering; integral equations; Newtonian potential type; conductive body; crack modelling; electrical dipoles; electromagnetic field scattering; hypersingular integral equations; low-frequency electromagnetic scattering; mathematical surface; orthogonal polynomials; Building materials; Conducting materials; Electromagnetic fields; Electromagnetic modeling; Electromagnetic scattering; Integral equations; Mathematical model; Polynomials; Scattering parameters; Surface cracks;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2009. DIPED 2009. International Seminar/Workshop on
Conference_Location :
Lviv
Print_ISBN :
978-1-4244-4201-0
DOI :
10.1109/DIPED.2009.5306977
