A solution to the complement of the generalized Luneburg lens problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00123894" target="_blank" >RIV/00216224:14310/21:00123894 - isvavai.cz</a>
Result on the web
<a href="https://www.nature.com/articles/s42005-021-00774-2" target="_blank" >https://www.nature.com/articles/s42005-021-00774-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/s42005-021-00774-2" target="_blank" >10.1038/s42005-021-00774-2</a>
Alternative languages
Result language
angličtina
Original language name
A solution to the complement of the generalized Luneburg lens problem
Original language description
Lenses are of interest for the design of directive antennas and multi-optics instruments in the microwave, terahertz and optical domains. Here, we introduce an optical problem defined as the complement of the well-known generalized Luneburg lens problem. The spherically symmetric inhomogeneous lenses obtained as solutions of this problem transform a given sphere in the homogeneous region outside of the lens into a virtual conjugate sphere, forming a virtual image from a real source. An analytical solution is proposed for the equivalent geodesic lens using the analogy between classical mechanics and geometrical optics. The refractive index profile of the corresponding inhomogeneous lens is then obtained using transformation optics. The focusing properties of this family of lenses are validated using ray-tracing models, further corroborated with full-wave simulations. The numerical results agree well with the predictions over the analyzed frequency bandwidth (10-30 GHz). This virtual focusing property may further benefit from recent developments in the fields of metamaterials and transformation optics. Spherically-symmetric lenses can create sharp virtual images, but a general expression for their refractive index profiles had not yet been developed. Here, this expression is provided via analogy between classical mechanics and geometrical optics, yielding solutions complementary to existing lenses obtained from the generalized Luneburg lens problem.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications Physics
ISSN
2399-3650
e-ISSN
2399-3650
Volume of the periodical
4
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
10
Pages from-to
„270“
UT code for WoS article
000731252300001
EID of the result in the Scopus database
2-s2.0-85121488848