Application of metamaterial in realistic devices requires reliable approaches for effective material parameters. We demonstrate that a general homogenization procedure is non-versatile relative to the approach associated with the device functionality either inside or outside the structure. We exemplify it with internal and external treatments for the effective permittivity of a metamaterial in a lens consisting of dielectric rods. The dependence of the focal length on the permittivity and frequency of the incident field is determined, and the composite metalens with an ordinary lens are compared. The focal length is the same for both lens types. The approaches are compared to obtain effective permittivity values. The results show that different methods of homogenization are to be considered for a property description depending on the needs.
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14 August 2023
Research Article|
August 10 2023
On homogenization approaches for manipulation with fields inside and outside metamaterials
Ekaterina E. Maslova
;
Ekaterina E. Maslova
a)
(Conceptualization, Formal analysis, Investigation, Visualization, Writing – original draft)
1
School of Physics and Engineering, ITMO University
, 197101 St. Petersburg, Russia
a)Author to whom correspondence should be addressed: [email protected]
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Mikhail V. Rybin
Mikhail V. Rybin
(Conceptualization, Formal analysis, Supervision, Writing – original draft, Writing – review & editing)
1
School of Physics and Engineering, ITMO University
, 197101 St. Petersburg, Russia
2
Ioffe Institute
, 194021 St. Petersburg, Russia
Search for other works by this author on:
a)Author to whom correspondence should be addressed: [email protected]
J. Appl. Phys. 134, 063103 (2023)
Article history
Received:
May 11 2023
Accepted:
July 27 2023
Citation
Ekaterina E. Maslova, Mikhail V. Rybin; On homogenization approaches for manipulation with fields inside and outside metamaterials. J. Appl. Phys. 14 August 2023; 134 (6): 063103. https://doi.org/10.1063/5.0157823
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