Application of Geometric Algebra to Electromagnetic by Andrew Seagar

By Andrew Seagar

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

It permits somebody who's to grasp concepts that result in easier and extra effective strategies to difficulties of electromagnetic scattering than are presently in use. The procedure is formulated when it comes to the Cauchy kernel, unmarried integrals, Clifford algebra and a whole-field procedure. this can be unlike many traditional recommendations which are formulated by way of Green's features, double integrals, vector calculus and the mixed box crucial equation (CFIE).  Whereas those traditional options result in an implementation utilizing the strategy of moments (MoM), the CCD process is applied 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 out exception to all kinds of fabrics. On any specific computing device, it leads to both a quicker resolution for a given challenge or the facility to resolve difficulties of higher complexity.  The Clifford-Cauchy-Dirac approach bargains very actual and demanding benefits in uniformity, complexity, pace, garage, balance, consistency and accuracy.

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