Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case

Abstract In previous works, it was suggested to use Steklov eigenvalues for Maxwell equations as target signature nondestructive testing, and recognized that this eigenvalue problem cannot be reformulated a standard compact operator. Consequently, modified with the desired properties proposed. We report apart countable set of particular frequencies, spectrum original self-adjoint consists three disjoint parts: The essential consisting origin, an infinite sequence positive which accumulate only at infinity negative zero. analysis is based on suitable topological decomposition, representation operator block Schur-factorizations. For each Schur-complement, existence proven via intermediate value technique. arises limit one Schur-complement.