Mathematical synthesis of the thickness profile of the waveguide Lüneburg lens using the adiabatic waveguide modes method

Edik Ayryan; Genin Dashitsyrenov; Evgeniy Laneev; Konstantin Lovetskiy; Leonid Sevastianov; Anton Sevastianov

doi:10.1117/12.2267920

14 April 2017 Mathematical synthesis of the thickness profile of the waveguide Lüneburg lens using the adiabatic waveguide modes method

Edik Ayryan, Genin Dashitsyrenov, Evgeniy Laneev, Konstantin Lovetskiy, Leonid Sevastianov, Anton Sevastianov

Author Affiliations +

Proceedings Volume 10337, Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III; 103370I (2017) https://doi.org/10.1117/12.2267920
Event: Saratov Fall Meeting 2016: Fourth International Symposium on Optics and Biophotonics, 2016, Saratov, Russian Federation

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.

Citation Download Citation

Edik Ayryan, Genin Dashitsyrenov, Evgeniy Laneev, Konstantin Lovetskiy, Leonid Sevastianov, and Anton Sevastianov "Mathematical synthesis of the thickness profile of the waveguide Lüneburg lens using the adiabatic waveguide modes method", 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); https://doi.org/10.1117/12.2267920

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