ABSTRACT
This chapter discusses modeling electrostatic and electromagnetic problems by a newly developed method called distributed point source method (DPSM), which was initially developed at ENS Cachan by Placko and his associates (Placko and Liebaux, 2001) in 2000, for solving electromagnetic and electrostatic three-dimensional (3D) problems. This method was then extended to solve ultrasonic problems, in collaboration with Kundu and his associates, at the University of Arizona (Placko and Kundu, 2001, 2004; Banerjee and Kundu, 2007; Kundu et al., 2007, 2010). The basic principle consists of using singular Green’s functions for point source excitation. Finite sources, interfaces, and boundaries are modeled by distributions of such point sources. The œnal product of this approach is a semianalytical solution technique, which can be used for solving direct or inverse problems for generating the œeld pattern or producing images of internal defects. Electrostatic and electromagnetic œeld modeling technique by DPSM is described œrst, and then the imaging technique is discussed using some examples from eddy current (EC) crack imaging in conductive materials.
