By Andrew Seagar
This paintings offers the Clifford-Cauchy-Dirac (CCD) method for fixing difficulties regarding the scattering of electromagnetic radiation from fabrics of all kinds.
It permits a person who's to grasp recommendations that bring about easier and extra effective ideas to difficulties of electromagnetic scattering than are at the moment in use. The strategy is formulated by way of the Cauchy kernel, unmarried integrals, Clifford algebra and a whole-field procedure. this can be unlike many traditional ideas which are formulated when it comes to Green's features, double integrals, vector calculus and the mixed box essential equation (CFIE). Whereas those traditional options bring about an implementation utilizing the strategy of moments (MoM), the CCD procedure is carried out as alternating projections onto convex units in a Banach space.
The final final result is an vital formula that lends itself to a extra direct and effective answer than conventionally is the case, and applies with no exception to every kind of fabrics. On any specific computer, it ends up in both a quicker resolution for a given challenge or the facility to unravel difficulties of better complexity. The Clifford-Cauchy-Dirac process deals very genuine and demanding benefits in uniformity, complexity, pace, garage, balance, consistency and accuracy.
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Application of Geometric Algebra to Electromagnetic Scattering: The Clifford-Cauchy-Dirac Technique by Andrew Seagar