By Andrew Seagar
This paintings provides the Clifford-Cauchy-Dirac (CCD) procedure for fixing difficulties concerning the scattering of electromagnetic radiation from fabrics of all kinds.
It permits a person who's to grasp strategies that result in less complicated and extra effective recommendations to difficulties of electromagnetic scattering than are presently in use. The approach is formulated when it comes to the Cauchy kernel, unmarried integrals, Clifford algebra and a whole-field process. this can be unlike many traditional suggestions which are formulated by way of Green's features, double integrals, vector calculus and the mixed box imperative equation (CFIE). Whereas those traditional thoughts bring about an implementation utilizing the strategy of moments (MoM), the CCD approach is carried out as alternating projections onto convex units in a Banach space.
The final end result is an quintessential formula that lends itself to a extra direct and effective resolution than conventionally is the case, and applies with no exception to all kinds of fabrics. On any specific computer, it leads to both a speedier resolution for a given challenge or the power to unravel difficulties of higher 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