Algorithm for lens calculations in the geometrized Maxwell theory

Dmitry S. Kulyabov; Anna V. Korolkova; Leonid A. Sevastianov; Migran N. Gevorkyan; Anastasia V. Demidova

doi:10.1117/12.2315066

26 April 2018 Algorithm for lens calculations in the geometrized Maxwell theory

Dmitry S. Kulyabov, Anna V. Korolkova, Leonid A. Sevastianov, Migran N. Gevorkyan, Anastasia V. Demidova

Proceedings Volume 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV; 107170Y (2018) https://doi.org/10.1117/12.2315066
Event: Saratov Fall Meeting 2017, 2017, Saratov, Russian Federation

Abstract

Nowadays the geometric approach in optics is often used to find out media parameters based on propagation paths of the rays because in this case it is a direct problem. However inverse problem in the framework of geometrized optics is usually not given attention. The aim of this work is to demonstrate the work of the proposed the algorithm in the framework of geometrized approach to optics for solving the problem of finding the propagation path of the electromagnetic radiation depending on environmental parameters. The methods of differential geometry are used for effective metrics construction for isotropic and anisotropic media. For effective metric space ray trajectories are obtained in the form of geodesic curves. The introduced algorithm is applied to well-known objects, Maxwell and Luneburg lenses. The similarity of results obtained by classical and geometric approach is demonstrated.

Citation Download Citation

Dmitry S. Kulyabov, Anna V. Korolkova, Leonid A. Sevastianov, Migran N. Gevorkyan, and Anastasia V. Demidova "Algorithm for lens calculations in the geometrized Maxwell theory", Proc. SPIE 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV, 107170Y (26 April 2018); https://doi.org/10.1117/12.2315066

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