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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2014-01-10
A 'Maximum Entropy'-Based Novel Numerical Methodology for Problems in Statistical Electromagnetics
By
Kausik Chatterjee

    Dr. Kausik Chatterjee

    Department of Electrical & Computer Engineering

    California State University, Fresno

    USA

    Homepage

Progress In Electromagnetics Research M, Vol. 34, 125-133, 2014
doi:10.2528/PIERM13053010 | Google Scholar

Abstract
This paper presents the development of a novel‘maximum entropy'-based numerical methodology for the solution of electromagnetic problems, where the inputs and system parameters vary statistically. The application of this methodology to the problem of a plane wave impinging on an array of cylindrical conducting rods with stochastic variations in its parameters is then presented. To address this problem, a statistically significant number of replicas of this array of conductors are constructed. The current profiles in these coupled conductors are estimated by using the Method of Moments (MoM). Upon estimation of the current profiles on the conductors, the monostaticradar cross-section is estimated for each replica of the array. The probability density function isthen constructed through the estimation of a finite number of moments from the available output data subject to the constraint of maximum entropy. The methodology is very general in its scope and its application to scatterers with other geometries such as spheres, spheroids and ellipsoids as well as to other application areas would form the basis of our future work.
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Citation
Kausik Chatterjee, "A 'Maximum Entropy'-Based Novel Numerical Methodology for Problems in Statistical Electromagnetics," Progress In Electromagnetics Research M, Vol. 34, 125-133, 2014.
doi:10.2528/PIERM13053010
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