Title :
Method of hypersingular integral equations in diffraction problem by strip grating of rectangular split-ring resonators
Author :
Kaliberda, Mstislav E. ; Pogarsky, S.A.
Author_Institution :
Karazin Kharkiv Nat. Univ., Kharkiv, Ukraine
Abstract :
Electromagnetic waves diffraction problem by finite strip grating which consists of rectangular split-ring resonators of zero thickness is considered. The method of hypersingular integral equations is used. The hypersingular integral equations are obtained with the use of the theory of pseudo-differential operators. The dependencies of the reflection coefficient as a function of wave number and directional patterns of reflected field are presented.
Keywords :
electromagnetic wave diffraction; integral equations; resonators; diffraction problem; directional patterns; electromagnetic wave diffraction; finite strip grating; hypersingular integral equation; hypersingular integral equations; pseudodifferential operator theory; rectangular split-ring resonators; reflected field; reflection coefficient; strip grating; wave number; Antenna theory; Diffraction; Diffraction gratings; Electromagnetic scattering; Equations; Gratings; Integral equations; Fredholm equation; Hypersingular integral equation; pseudo-differential operator; split-ring resonator;
Conference_Titel :
Antenna Theory and Techniques (ICATT), 2013 IX International Conference on
Conference_Location :
Odessa
Print_ISBN :
978-1-4799-2896-5
DOI :
10.1109/ICATT.2013.6650798