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Proceedings Paper

Mathematical synthesis of the thickness profile of the waveguide Lüneburg lens using the adiabatic waveguide modes method
Author(s): Edik Ayryan; Genin Dashitsyrenov; Evgeniy Laneev; Konstantin Lovetskiy; Leonid Sevastianov; Anton Sevastianov
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Paper Abstract

The paper describes the classical and generalized Luneburg lens in the 3D and planar waveguide implementation. We demonstrate the relation between the focusing inhomogeneity of the effective refractive index of waveguide Luneburg lens and the irregularity of the waveguide layer thickness generating this inhomogeneity. For the dispersion relation of the irregular thin-film waveguide in the model of adiabatic waveguide modes we solve the problem of mathematical synthesis and computer-aided design of the thickness profile of waveguide layer for the Luneburg thin-film generalized waveguide lens with a given focal length.

The calculations are carried out in specially normalized coordinates convenient for computer calculations. The solution is compared with the one obtained using the cross-sections method.

Paper Details

Date Published: 14 April 2017
PDF: 12 pages
Proc. SPIE 10337, Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III, 103370I (14 April 2017); doi: 10.1117/12.2267920
Show Author Affiliations
Edik Ayryan, Joint Institute for Nuclear Research (Russian Federation)
Genin Dashitsyrenov, Peoples' Friendship Univ. of Russia (Russian Federation)
Evgeniy Laneev, Peoples' Friendship Univ. of Russia (Russian Federation)
Konstantin Lovetskiy, Peoples’ Friendship Univ. of Russia (Russian Federation)
Leonid Sevastianov, Peoples' Friendship Univ. of Russia (Russian Federation)
Joint Institute for Nuclear Research (Russian Federation)
Anton Sevastianov, Peoples' Friendship Univ. of Russia (Russian Federation)


Published in SPIE Proceedings Vol. 10337:
Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III
Vladimir L. Derbov; Vladimir L. Derbov; Dmitry Engelevich Postnov; Dmitry Engelevich Postnov, Editor(s)

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