Radio Science

Time domain Born approximation to the far-field scattering of plane electromagnetic waves by a penetrable object


  • Dirk Quak,

  • Adrianus T. de Hoop


The low-contrast or (first-order) Born approximation is applied to the time domain scattering of a plane electromagnetic wave by a penetrable object of bounded extent, embedded in an isotropic and homogeneous medium. Closed-form analytic expressions are obtained for the spherical wave far-field scattering amplitude related to homogeneous objects of the following shapes: an ellipsoid, an elliptic cone of finite height, an elliptic cylinder of finite height, and a tetrahedron. Relaxation effects and anisotropy of the scattering object are included. The results are, among others, useful as test cases for time domain inverse scattering algorithms.