By Andrew Seagar
This paintings provides the Clifford-Cauchy-Dirac (CCD) strategy for fixing difficulties regarding the scattering of electromagnetic radiation from fabrics of all kinds.
It permits a person who's to grasp ideas that result in less complicated and extra effective ideas to difficulties of electromagnetic scattering than are at present in use. The strategy is formulated when it comes to the Cauchy kernel, unmarried integrals, Clifford algebra and a whole-field procedure. this is often not like many traditional recommendations which are formulated by way of Green's services, double integrals, vector calculus and the mixed box fundamental equation (CFIE). Whereas those traditional innovations result in an implementation utilizing the strategy of moments (MoM), the CCD strategy is applied as alternating projections onto convex units in a Banach space.
The final end result is an crucial formula that lends itself to a extra direct and effective resolution than conventionally is the case, and applies with out exception to every kind of fabrics. On any specific computer, it leads to both a swifter answer for a given challenge or the facility to unravel difficulties of higher complexity. The Clifford-Cauchy-Dirac procedure deals very actual and demanding 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