Existence and Uniqueness of Solution to the Direct Electromagnetic Scattering Problem with Leontovich Boundary Condition

This paper investigate scattering of time harmonic electromagnetic plane waves by an obstacle with the most general impedance boundary condition known as the Leontovich boundary condition. Here it prove existence and uniqueness of the solution to the forward scattering problem when the scattering data is available for a set of frequencies but only for one incident direction.. Further it is proved that the solution is analytic in a complex neighborhood of a real frequency.