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International Journal of Optics
Volume 2014 (2014), Article ID 841960, 7 pages
Research Article

On Optimal Frequencies for Reconstruction of a One-Dimensional Profile of Gradient Layer’s Refractive Index

Kazan Federal University, 18 Kremlyovskaya Street, Kazan 420008, Russia

Received 26 May 2014; Revised 27 November 2014; Accepted 30 November 2014; Published 16 December 2014

Academic Editor: Stefan Wabnitz

Copyright © 2014 Dmitrii Tumakov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The problem of reconstruction of a one-dimensional profile of gradient layer’s refractive index is investigated. An algorithm for choosing a right frequency, at which a scattered field is measured, is proposed. It is concluded that at the correct choice of frequency one measurement must be sufficient. Moreover, in this case, regularization parameters of the residual functional are chosen as zero. It is shown that in case of measurements being carried out with errors, residual terms must be added to the functional.