By Andrew Seagar
This paintings provides the Clifford-Cauchy-Dirac (CCD) strategy for fixing difficulties related to the scattering of electromagnetic radiation from fabrics of all kinds.
It permits an individual who's to grasp innovations that result in less complicated and extra effective recommendations to difficulties of electromagnetic scattering than are presently in use. The strategy is formulated when it comes to the Cauchy kernel, unmarried integrals, Clifford algebra and a whole-field method. this is often not like many traditional recommendations which are formulated when it comes to Green's capabilities, double integrals, vector calculus and the mixed box vital equation (CFIE). Whereas those traditional thoughts bring about an implementation utilizing the strategy of moments (MoM), the CCD procedure is applied as alternating projections onto convex units in a Banach space.
The final final result is an necessary formula that lends itself to a extra direct and effective resolution than conventionally is the case, and applies with out exception to all kinds of fabrics. On any specific desktop, it leads to both a swifter resolution for a given challenge or the facility to unravel difficulties of better complexity. The Clifford-Cauchy-Dirac process deals very actual and critical benefits in uniformity, complexity, velocity, garage, balance, consistency and accuracy.
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Application of Geometric Algebra to Electromagnetic Scattering: The Clifford-Cauchy-Dirac Technique by Andrew Seagar