Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第47回ISCIE「確率システム理論と応用」国際シンポジウム(2015年12月, ホノルル)
Stochastic Inversion for Electromagnetic Propagation in a Dielectric Medium using Hamiltonian Monte Carlo Method
Fumio Kojima
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2016 年 2016 巻 p. 118-124

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This paper is concerned with material interrogation methods for homogeneous dielectric materials using stochastic inversion. Frequency dispersions for homogeneous dielectric materials can be described by the Debye formulation. Propagation in the dielectric medium is assumed to be governed by the time-dependent Maxwell’s equations in one spatial dimension. When a plane wave travelling in the free space hits the dielectric material, the reflective wave from the front edge of material is measurable at the free space. Thus the problem considered here is to quantify uncertainties of the estimated dielectric parameters from the measurements of electric field. A computational method using Hamiltonian Monte Carlo sampling based on nonlinear hierarchical models is tested.
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© 2016 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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