Title :
Calculation of Electromagnetic Fields in Three Dimensions Using the Cauchy Integral
Author_Institution :
Sch. of Eng., Griffith Univ., Gold Coast, QLD, Australia
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.
Keywords :
Green´s function methods; boundary-value problems; computational electromagnetics; electromagnetic fields; vectors; 3-D monochromatic electromagnetic fields; Cauchy integral; Clifford algebra; Greens functions; boundary value problems; quaternions; vector calculus; Equations; Geometry; Integral equations; Quaternions; Vectors; Boundary value problems; Cauchy integral; Clifford algebra; electromagnetic fields; integral equations;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2011.2173300
