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It is known that complex source point beams are exact solutions of the Maxwell's equations everywhere in in space. By using this property, it is shown in this work that any fully vector EM field can be exactly expanded in terms of CSP beams launched from an arbitrary surface enclosing the EM sources. The approach is based on the analytical extension of the surface equivalence theorem to the case in...
In this paper a rigorous complex source point (CSP) beam expansion is used to accelerate the matrix-vector product (MVP) computation in the iterative solution of method of moments (MoM) integral equation problems. The scattering object in this CSP-MoM algorithm is partitioned into groups in a manner similar to the fast multipole method (FMM). However, unlike FMM, the interactions between well separated...
Widely used method of moments (MoM) (R.F. Harrington, 1993) for numerical solution of electromagnetic (EM) radiation and scattering problems is severely limited by the electrical size of the problem due to the storage requirement of O(N2) (N = number of unknowns) and the direct solution time of O(N3). The latter can be reduced down to O(IN2) where / is the number of iterations for an iterative method...
In this paper, a relatively simple, exact method is developed to expand any arbitrary and fully vector EM field into a continuum of CSP beams. In practice, the continuum must be appropriately discretized to obtain a convergent sum of CSP beams. Furthermore, the natural windowing property of the beam function can be advantageously used to truncate this beam set since only a small number of beams remain...
Alternative methods for efficiently computing the elements of the impedance matrix arising in the method-of-moments (MoM) based asymptotic phasefront extraction (APEx) method are presented. In APEx, the number of unknowns can be drastically reduced by making use of the phasefront characteristics of the local currents at smooth parts of the scatterer obtained at a lower frequency. At the high frequency...
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