Measuring the thickness, permittivity and conductivity of layered earth

Hislop, Greg

doi:10.1109/eucap.2014.6902603

Cited by 4 publications

(3 citation statements)

References 14 publications

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“…(2) Assuming a type of randomness of the dielectric object, what random properties does the scattered EM-field have? As applications addressing questions (1) we mention the references [1] for soil layer analysis, and [2] for human tissue analysis; as references addressing question (2) we mention the research papers [3][4][5] on wave propagation in random media.…”

Section: Introductionmentioning

confidence: 99%

“…The focus of this paper is on methods to derive characteristics of random electric fields, so that questions of type (1) and (2) can be addressed. The fields are generated by an incident electromagnetic plane wave that is scattered by an inhomogeneous dielectric structure with random permittivity.…”

Section: Introductionmentioning

confidence: 99%

“…These methods are used in the analysis of EM wave propagation in media with random inhomogeneities like the atmosphere [4,8], in random dielectric structures such as human tissue [14,15], in layered soil [1,16], and in dielectric silicon layers [17,18].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scattered Field in Random Dielectric Inhomogeneous Media: A Random Resolvent Approach

Barzegar

Eijndhoven²,

Beurden

2015

PIER B

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Abstract-In modeling electromagnetic phenomena randomness of the propagation medium and of the dielectric object should be taken up. The usually applied Monte-Carlo based methods reveal true characteristics of the random electromagnetic field at the expense of large computation time and computer memory. Use of expansion based methods and their resulting algorithm is an efficient alternative. In this paper the focus is on characteristics of electromagnetic fields that satisfy integral equations where the integral kernel has a random component, typically, electromagnetic fields that describe scattering due to dielectric objects with an inhomogeneous random contrast field. The assumption is that the contrast is affinely related to a random variable. The integral equation is of second kind Fredholm type so that its solutions are determined by the resolvent, a random operator field. The key idea is to expand that operator field with respect to orthogonal polynomials defined by the probability measure on the underlying sample space and to derive the properties of the solution from that expansion. Two types of illustration are presented: an inhomogeneous dielectric slab and a 2D dielectric grating with 1D periodicity.

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