Complex vector algebra in electromagnetics
Abstract
Vector algebra for analyzing time harmonic electromagnetic fields is summarized. Onetoone mapping between timeharmonic vectors and complex timeindependent vectors is introduced. It is demonstrated that all multilinear identities that are valid for real vectors are also valid for complex vectors. Parallel and perpendicular complex vectors are defined and cross polarization is discussed. Axial decomposition and representations of the polarization of complex vector are outlined. Vector expansion in terms of a complex base is studied.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1981
 Bibcode:
 1981STIN...8418526L
 Keywords:

 Electromagnetic Fields;
 Time Dependence;
 Time Functions;
 Vector Spaces;
 Conformal Mapping;
 Cross Polarization;
 Series Expansion;
 Communications and Radar