Electromagnetic scattering by an anisotropic metamaterial canonical structure

In this thesis, the scattering of plane electromagnetic waves by biaxial anisotropic metamaterial thin half-plane is investigated. To reduce the complexity of the problem, the appropriate approximate boundary conditions are obtained to model a biaxial anisotropic slab with an infinitely thin sheet. The scattered field which satisfies the Helmholtz equation is expressed in terms of Fourier integrals involving unknown spectral coefficients. By substituting this scattered field expression into approximate boundary conditions and continuity conditions and applying the inverse Fourier transform, a set of Wiener-Hopf equations is obtained and solved to find the spectral coefficients. Afterwards, the scattered field is obtained by evaluating the Fourier integral asymptotically with the steepest descent method. The diffraction, reflection and transmission coefficients are reduced to the results of resistive and uniaxial anisotropic half-planes for verification. After verification of the results, the numerical analysis is also performed to analyze the effect of the electromagnetic properties and the thickness of the half-plane.