March 2015
Beginner to intermediate
840 pages
25h 12m
English
Content preview from GPS Satellite Surveying, 4th Edition
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Appendix EElectromagnetic Field Generated by Arbitrary Sources, Magnetic Currents, Boundary Conditions, and Images
Consider a source represented by electric current density 
measured in amperes/square meter. This vector characterizes the electric current distributed in space and flowing through an imaginary unit surface area (Balanis (1989)). The Maxwell equations with the source given read as follows:
We assume time harmonic fields with fixed angular frequency 
. Medium is assumed to be free space.
In order to solve these equations, the electric vector potential 
is introduced by the relationships
The thus introduced vector potential satisfies the Helmholtz equation
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