Analysis of heterogeneous electromagnetic scatterers: research progress of the past decade

Article Abstract:

Heterogeneous bodies have been analyzed through the development of a variety of procedures, starting with the electric-field integral equation in the early 1980s to the differential equations, involving sparse matrices and capable of dealing electrically larger geometries in the late 1980s. Marching-in-time algorithms have the support of time-domain proponents, who have helped them to become as accurate and possibly more efficient than frequency-domain procedures. Through the developments of the 1980s, the modeling of many applications, heretofore too electrically large or complex for numerical treatment, can now be accomplished through new methods and improved computing power. Early electric field integral equations (EFIE) suffered from inaccuracy, but now there are not only EFIE formulations for providing extensions from two-dimension isotropic problems to three-dimensional one, but also magnetic field integral equation formulations as well.

History, Modeling, Data modeling software, Algorithm Analysis, Function Analysis, Research Design

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Reciprocity, discretization, and the numerical solution of direct and inverse electromagnetic radiation and scattering problems

Article Abstract:

The Lorentz reciprocity relation theorem for time-invariant configurations can server as the jumping off point in the numerical modeling of electromagnetic direct and inverse wave propagation and scattering problems. The transform parameter is taken a positive and real or complex in the right half of the complex plane so that wave motion causality is ensured because wave-field quantities in the time Laplace-transform domain must be bounded functions of positions in space. This approach substitute for using known numerical methods, usually seen as discretized versions of pertinent operator equations that are weak formulations, to address radiation and scattering problems in electromagnetics. The finite-element and integral-equation methods are consequences of the Lorentz reciprocity relation.

Time measurement, Numerical analysis, Systems theory, Wave propagation, Discrete Simulation

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