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.
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Edik Ayryan, Genin Dashitsyrenov, Evgeniy Laneev, Konstantin Lovetskiy, Leonid Sevastianov, 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);