A New Power Series Solution Approach to Solving Electrically Large Complex Electromagnetic Scattering Problems
Keywords:
Electromagnetic fields, Integral equations, Method of moments, Numerical methodsAbstract
In this work, we present a new power series solution procedure to obtain induced currents and scattered elds on a large conducting body due to a plane wave incidence. The procedure follows standard method of moments approach yet is applicable to electrically large problems. The rst step involves approximating the given structure via standard geometrical discretization and dening the conventional basis functions to approximate the induced current. The next step involves gathering the total number of basis functions into a small number of groups thereby casting the moment matrix into a collection of submatrices representing self and mutual interaction between the groups. Next, the procedure involves eliminating the interaction of two immediate neighbors on any selected group. This process results in a diagonally-dominant moment matrix assuming the group size is suciently large. Also the procedure sets the matrix blocks residing on either side of the diagonal block to zero. The new matrix equation can be solved in many ways eciently. However, this work proposes using power series approach to obtain accurate solution results. The present approach is simple, e- cient, highly amenable for parallel processing, and retains all the advantages of conventional method of moments scheme. Several numerical examples are presented to validate the numerical method.
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