High Accuracy Calculation of the Magnetic Vector Potential on Surfaces
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High Accuracy Calculation of the Magnetic Vector Potential on Surfaces摘要
The calculation of integrals
containing the free-space Green’s function in
electromagnetic problems is difficult to
perform with great accuracy. Three
approaches to the calculation are
investigated. The inadequacy of the
singularity-subtraction method is
demonstrated. The Duffy transform is shown
to provide good results when the test-point is
on the surface being investigated. A
Maclaurin series expansion with integration
prior to summation is shown to be efficient
and reliable both on and off the surface under
study. Solutions, in both Cartesian and
cylindrical coordinate systems, that allow the
calculations to be performed to a pre-defined
level of accuracy are presented
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