Reconstruction of dielectric constants of multi-layered optical fibers using propagation constants measurements

A. I. Repina; A. O. Spiridonov; E. M. Karchevskii; L. Beilina

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Reconstruction of dielectric constants of multi-layered optical fibers using propagation constants measurements

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arxiv 1512.06764 v1 pith:TFIWWRC6 submitted 2015-12-18 math.NA cs.NA

E. M. Karchevskii , L. Beilina , A. O. Spiridonov , A. I. Repina This is my paper · ORCID

classification math.NAcs.NA

keywords constantsdielectricmeasurementsreconstructionmulti-layerednumericalpropagationcircular

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abstract

We present new method for the numerical reconstruction of the variable refractive index of multi-layered circular weakly guiding dielectric waveguides using the measurements of the propagation constants of their eigenwaves. Our numerical examples show stable reconstruction of the dielectric permittivity function $\varepsilon$ for random noise level using these measurements.

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