Stability of the scattering from a large electromagnetic cavity in two dimensions (Q2882322)

This work is concerned with a time harmonic scattering problem of electromagnetic waves from a two-dimensional open cavity embedded in an infinite ground plane. Their model scattering problem is challenging both mathematically and computationally due to the highly oscillatory nature of the solution for large or deep cavities. A variational formulation reduces the scattering problem to a bounded-domain problem. The stability of the solution is established for the bounded-domain problem in the energy space. Moreover, their stability estimates provide an explicit dependence on the high wave-number and the depth of the cavity. This work is very interesting and an excellent article.