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Journal Articles Journal of Optics A: Pure and Applied Optics Year : 1977

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.

Dates and versions

hal-01263054 , version 1 (27-01-2016)

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