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9. HIGHER-ORDER STATISTICS FOR STOCHASTIC ELECTROMAGNETIC INTERACTIONS: APPLICATIONS TO A THIN-WIRE FRAME.

Author

Sy, O. O., Van Beurden, M. C., Michielsen, B. L., Vaessen, J. A. H. M., and Tijhuis, A. G.

Subjects
ELECTROMAGNETISM, GEOMETRY, MATHEMATICAL inequalities, DENSITY functionals, ELECTRIC lines
Abstract

Uncertainties in an electromagnetic observable, that arise from uncertainties in geometric and electromagnetic parameters of an interaction configuration, are here characterized by combining computable higher-order moments of the observable with higher-order Chebychev inequalities. This allows for the estimation of the range of the observable by rigorous confidence intervals. The estimated range is then combined with the maximum-entropy principle to arrive at an efficient and reliable estimation of the probability density function of the observable. The procedure is demonstrated for the case of the induced voltage of a thin-wire frame that has a random geometry, is connected to a random load, and is illuminated by a random incident field. [ABSTRACT FROM AUTHOR]

Published
2012

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