THE COMPUTATION OF RADIATION AND SCATTERED ELECTROMAGNETIC FIELDS
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Alberto P. Calderon · 1953
The paper presents a variational method for computing radiation and scattered electromagnetic fields that converges uniformly to the exact solution and provides error estimates at each step.
Plain English Summary
Summary written for general audiences
The gauge and mutual gauge can be computed from the tangential component of the electric field along surfaces. Using fields of magnetic dipoles and their derivatives allows approximation to any desired accuracy.
Finding
the method gives an estimate of the error at each step of the computation. As far as we know, convergence of other variational techniques to the solution of these problems has never been established rigorously. Nor is there available any estimate of the errors
In their words
“the method gives an estimate of the error at each step of the computation. As far as we know, convergence of other variational techniques to the solution of these problems has never been established rigorously. Nor is there available any estimate of the errors”
Cite This Study
Alberto P. Calderon (1953). THE COMPUTATION OF RADIATION AND SCATTERED ELECTROMAGNETIC FIELDS.
Show BibTeX
@article{the_computation_of_radiation_and_scattered_electromagnetic_fields_g5686,
author = {Alberto P. Calderon},
title = {THE COMPUTATION OF RADIATION AND SCATTERED ELECTROMAGNETIC FIELDS},
year = {1953},
}No DOI on file for this study.
Quick Questions About This Study
The method minimizes the gauge of the difference between the target field and a linear combination of known fields to find the best approximation.
The gauge is a positive real number computed from the tangential component of the electric field along surfaces that measures the size of the field.
Yes, the method yields a sequence of fields that converges uniformly to the exact solution when applied repeatedly.
Fields of magnetic dipoles, three mutually perpendicular in each region, and their partial derivatives are used to achieve arbitrary accuracy.