Geometrization of Maxwell's equations in the construction of optical devices

D. S. Kulyabov; A. V. Korolkova; L. A. Sevastianov; M. N. Gevorkyan; A. V. Demidova

doi:10.1117/12.2267959

14 April 2017 Geometrization of Maxwell's equations in the construction of optical devices

D. S. Kulyabov, A. V. Korolkova, L. A. Sevastianov, M. N. Gevorkyan, A. V. Demidova

Proceedings Volume 10337, Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III; 103370K (2017) https://doi.org/10.1117/12.2267959
Event: Saratov Fall Meeting 2016: Fourth International Symposium on Optics and Biophotonics, 2016, Saratov, Russian Federation

Abstract

The paper considers the technics of construction of optical devices based on the method of geometrization of Maxwell's equations. The method is based on representation of material equations in the form of an effective space-time geometry. Thus we get a problem similar to that of some bimetric theory of gravity. That allows to use a well-developed apparatus of differential geometry. On this basis, we can examine the propagation of the electromagnetic field on the given parameters of the medium. It is also possible to find the parameters of the medium by a given law of propagation of electromagnetic fields.

Citation Download Citation

D. S. Kulyabov, A. V. Korolkova, L. A. Sevastianov, M. N. Gevorkyan, and A. V. Demidova "Geometrization of Maxwell's equations in the construction of optical devices", Proc. SPIE 10337, Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III, 103370K (14 April 2017); https://doi.org/10.1117/12.2267959

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