Synthesis of isotropic and anisotropic impedance reflectors of an arbitrary shape

A strictly stated synthesis problem of inhomogeneous stationary and quasi-stationary impedance planes, which reflects a homogeneous plane wave in the given direction at the required polarization with a frequency shift, is solved. The impedance distribution law is obtained in the explicit form. Restrictions on class of realizable scattering patterns for passive impedance are formulated; formulas for the reflection coefficient of the plane wave reflected by the inhomogeneous impedance plane are developed. Bistatic and monostatic scattering patterns are considered for isotropic and anisotropic impedance arbitrarily shaped reflector.