Papers Published

1. Geng, N; Sullivan, A; Carin, L, Multilevel fast-multipole algorithm for scattering from conducting targets above or embedded in a lossy half space, IEEE Transactions on Geoscience and Remote Sensing, vol. 38 no. 4 I (July, 2000), pp. 1561-1573, Institute of Electrical and Electronics Engineers (IEEE) [36.851956], [doi] .
   (last updated on 2024/12/31)

   Abstract:
   An extension of the multilevel fast multipole algorithm (MLFMA), originally developed for targets in free space, is presented for the electromagnetic scattering from arbitrarily shaped three-dimensional (3-D), electrically large, perfectly conducting targets above or embedded within a lossy half space. We have developed and implemented electric-field, magnetic-field, and combined-field integral equations for this purpose. The nearby terms in the MLFMA framework are evaluated by using the rigorous half-space dyadic Green's function, computed via the method of complex images. Non-nearby (far) MLFMA interactions, handled efficiently within the multilevel clustering construct, employ an approximate dyadic Green's function. This is expressed in terms of a direct-radiation term plus a single real image (representing the asymptotic far-field Green's function), with the image amplitude characterized by the polarization-dependent Fresnel reflection coefficient. Examples are presented to validate the code through comparison with a rigorous method-of-moments (MoM) solution. Finally, results are presented for scattering from a model unexploded ordnance (UXO) embedded in soil and for a realistic 3-D vehicle over soil.

   Keywords:
   Electromagnetic field theory;Algorithms;Integral equations;Green's function;Method of moments;Three dimensional;Numerical methods;Mathematical models;