Abstract
An incremental fringe formulation (IFF) for the scattering by large metallic objects illuminated by electromagnetic complex source points (CSPs) is presented. This formulation has two main advantages. First, it improves the accuracy of physical optics (PO) computations by removing spurious scattered field contributions and, at the same time, substituting them with more accurate Incremental Theory of Diffraction field contributions. Second, it reduces the complexity of PO computations because it is applicable to arbitrary illuminating fields represented in terms of a CSP beam expansion. The advantage of using CSPs is mainly due to their beam-like properties: truncation of negligible beams lowers the computational burden in the determination of the solution. Explicit dyadic expressions of incremental fringe coefficients are derived for wedge-shaped configurations. Comparisons between the proposed method, PO and the Method of Moments (MoM) are provided.
Highlights
A NEW solution to increase the accuracy and improve the numerical efficiency of Physical Optics (PO) based methods to estimate fields scattered by large structures is presented
The solution consists of an Incremental Fringe Formulation (IFF) of the field scattered by edges, or shadow lines, in perfect electrically conducting (PEC) objects when they are illuminated by an arbitrary field, which is represented by a Complex Source Points (CSPs) expansion
The Incremental Theory of Diffraction (ITD) is considered because, in many cases, it overcomes the typical impairments of the Geometrical Theory of Diffraction (GTD)/Uniform Theory of Diffraction (UTD) ray techniques associated with possible ray caustics and with the difficulties of ray tracing in complex space
Summary
A NEW solution to increase the accuracy and improve the numerical efficiency of PO based methods to estimate fields scattered by large structures is presented. In order to augment the accuracy and the efficiency of the PO radiated field predictions, this article presents an IFF of the field scattered by edges in perfect electrically conducting objects when illuminated by a CSP representation of an arbitrary field. To this end, it is supposed that a canonical scatterer is illuminated by a proper linear combination of a finite number N of tilted and scaled CSPs in the complex space C3. All the derivations in this article are carried out for timeharmonic fields at the angular frequency ω; the time convention exp(jωt) is assumed and suppressed throughout
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