Two Approaches to Solving the Problem of Diffraction on a Janus Sphere

Abstract—Based on the method of continued boundary conditions, two algorithms for the numerical solution of the problem of plane wave diffraction by a Janus sphere in the form of a permeable sphere partially covered by an absolutely soft or an absolutely rigid spherical screen have been developed. The calculation results obtained for the scattered field intensity using the proposed methods have been compared with results obtained by the T-matrix method. The accuracy of the fulfillment of the optical theorem and residual of the boundary condition in the case of the Dirichlet and Neumann conditions on the screen has been tested. The angular dependences of the scattered field intensity for different opening angles of the reflecting screen were constructed.