Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary.

In this paper, we derive high‐order terms in the asymptotic expansions of the boundary perturbations for the electric field by taking into account of highly oscillating perturbations of an inhomogeneity with regular boundary. We show then that the asymptotic expansions depend on some parameter γ, that describes the depth O(δγ)$O(\delta ^{\gamma })$ of irregularity. Our study is rigorous and is founded on Field expansion method. [ABSTRACT FROM AUTHOR]