Calculation of Electromagnetic Fields in Three Dimensions Using the Cauchy Integral
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Abstract
This paper describes a method for calculating the 3-D monochromatic electromagnetic fields scattered by conducting and dielectric objects using the Cauchy integral cast in a multidimensional form based on Clifford algebra. Formal relationships to methods based on quaternions and vector calculus are presented. The characteristics of solutions based on the Cauchy method are described and its advantages over comparable methods involving Greens functions are discussed.
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IEEE Transactions on Magnetics
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48
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2
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© 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
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Physical sciences
Engineering