Higher-order statistics for stochastic electromagnetic interactions: applications to a thin-wire frame

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

doi:10.2528/PIERB12042104

Higher-order statistics for stochastic electromagnetic interactions: applications to a thin-wire frame

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

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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.

Original language	English
Pages (from-to)	307-332
Number of pages	26
Journal	Progress In Electromagnetics Research B
Volume	41
DOIs	https://doi.org/10.2528/PIERB12042104
Publication status	Published - 2012

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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.",

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AU - Tijhuis, A.G.

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AB - 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.

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JF - Progress In Electromagnetics Research B

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Higher-order statistics for stochastic electromagnetic interactions: applications to a thin-wire frame

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