Abstract
An analysis of multiple scattering by two Perfect Electric Conducting (PEC) spheres using translation Addition Theorem (AT) for spherical vector wave functions is presented. Specifically, the Cruzan formalism is used to represent the AT for spherical harmonics, which introduces the translation coefficients for transformation of spherical harmonics from one coordinate to another. The adoption of these coefficients with the use of two PEC spheres in a near zone region makes the calculation of multiple scattering electric fields very efficient. As an illustration, the mathematical formation using advanced computational approaches was inspected. Then, the generic truncation criteria in the scattered electric field by two PEC spheres was deeply investigated using translation AT. However, the numerical validation was obtained using Comsol simulation software. This approach will allow to evaluate the scattering from macro-structures composed of spherical particles, i.e., biological molecules, clouds of airborne particles, etc. An original and fully general solution to the problem using vector quantities is introduced, and the convergence of the solution in several numerical examples is also demonstrated. This approach takes into account the effect of multiple scattering by two PEC spheres for spherical vector function.
Highlights
Academic Editor: Gerardo Di MartinoThe problem of multiple scattering by closely spaced objects has a wide range of engineering applications, including electromagnetic (EM) wave transmission by rain [1], scattering by complex bodies [2,3,4,5], scanning of buried objects [6,7], biological cell detection [8,9], radar and remote sensing applications in biomedical diagnostics, etc. [10,11]
An overview of previous research projects on multiple scattering problems showed that a theoretical investigation of the effects of inter-particle coupling on morphology-dependent resonances of spheres was examined by Fuller [16]
This paper introduces the numerical results of multiple scattering by two Perfect Electric Conducting (PEC) spheres
Summary
Academic Editor: Gerardo Di MartinoThe problem of multiple scattering by closely spaced objects has a wide range of engineering applications, including electromagnetic (EM) wave transmission by rain [1], scattering by complex bodies [2,3,4,5], scanning of buried objects [6,7], biological cell detection [8,9], radar and remote sensing applications in biomedical diagnostics, etc. [10,11]. The translation AT for vector spherical wave functions as multipole expansion was used to express the derived solution of EM fields distributed by spheres. Lo and Bruning determined the new recursion relationship for the calculations of the multiple scattering of EM waves by two arbitrary spheres, reducing the difficulty of the computational quantitative analysis in scattering problems [17]. Wang and Chew derived the recursive approach (T-matrix algorithm), which is used for the formation of multiple scattering fields by several spheres. This method is suitable for the calculation of the vector
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