Spherical media and geodesic lenses in geometrical optics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00057540" target="_blank" >RIV/00216224:14310/12:00057540 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/2040-8978/14/7/075705" target="_blank" >http://dx.doi.org/10.1088/2040-8978/14/7/075705</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/2040-8978/14/7/075705" target="_blank" >10.1088/2040-8978/14/7/075705</a>

Result language
angličtina
Original language name
Spherical media and geodesic lenses in geometrical optics
Original language description
This paper presents a general approach to solving the problems of inverse scattering in three-dimensional isotropic media with a spherically symmetric refractive index distribution. It is based on equivalence of the central section of an inhomogeneous medium and corresponding geodesic lens, which is a non-Euclidean surface with constant refractive index. We use this approach for solving the Luneburg inverse problem and also for the derivation and design of absolute instruments that provide perfect imaging within the frame of geometrical optics. In addition, we solve the generalized Luneburg inverse problem, which leads to the discovery of a new class of magnifying lenses.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BH - Optics, masers and lasers
OECD FORD branch
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Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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