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Determination of index profiles by time domain reflectometry

Abstract : A numerical approach of the reconstruction of an inhomogeneous slab is described, the relative permittivity or the index of which are unknown. This one-dimensional dielectric medium is assumed to be linear, isotropic and non-magnetic, its conductivity being known, generally equal to zero. Its frequency independent permittivity arbitrarily varies, normally to its interfaces. A TEM plane wave of arbitrary causal time dependence illuminates this slab. A solution of this inverse problem is based upon a space-time discretization of a field integral formulation, in time-domain. A checked iterative process makes it possible to determine the index profile step by step. Some examples are given to illustrate the main features of this reconstruction method; simulation of experimental errors is considered with a special attention.
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Contributor : Dominique Lesselier Connect in order to contact the contributor
Submitted on : Wednesday, January 27, 2016 - 1:02:30 PM
Last modification on : Friday, October 7, 2022 - 3:47:22 AM

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Dominique Lesselier. Determination of index profiles by time domain reflectometry. Journal of Optics A: Pure and Applied Optics, IOP Publishing, 1977, 9 (6), pp.349-358. ⟨10.1088/0150-536X/9/6/004⟩. ⟨hal-01263054⟩



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