TY - JOUR T1 - Electromagnetic Scattering in a Two-Layered Medium AU - Feng , Lixin AU - Li , Yuan JO - Communications in Mathematical Research VL - 4 SP - 349 EP - 359 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19074.html KW - electromagnetic, scattering problem, layered medium, integral equation, uniqueness and existence, Green function. AB -

The object of this paper is to investigate the three-dimensional electromagnetic scattering problems in a two-layered background medium. These problems have an important application in today’s technology, such as to detect objects that are buried in soil. Here, we model both the exterior impedance problem and the inhomogeneous medium problem in $\boldsymbol{R}^3$. We establish uniqueness and existence for the solution of the two scattering problems, respectively.