Read e-book online Application of Geometric Algebra to Electromagnetic PDF

By Andrew Seagar

This paintings offers the Clifford-Cauchy-Dirac (CCD) procedure for fixing difficulties related to the scattering of electromagnetic radiation from fabrics of all kinds.

It permits a person who's to grasp suggestions that bring about less complicated and extra effective options 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 process. this can be unlike many traditional strategies which are formulated by way of Green's capabilities, double integrals, vector calculus and the mixed box vital equation (CFIE).  Whereas those traditional suggestions result in an implementation utilizing the tactic of moments (MoM), the CCD process is applied as alternating projections onto convex units in a Banach space.

The final final result is an critical formula that lends itself to a extra direct and effective answer than conventionally is the case, and applies with out exception to every kind of fabrics. On any specific desktop, it ends up in both a speedier resolution for a given challenge or the facility to resolve difficulties of larger complexity.  The Clifford-Cauchy-Dirac approach deals very genuine 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


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