On the Calculation of Fields in Three Dimensions using the Cauchy Integral

摘要

This paper describes a method for calculating the three dimensional monochromatic electromagnetic fields scattered by conducting and dielectric objects using the Cauchy integral cast in a multi-dimensional 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.