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Hyperbolic metamaterial lens with hydrodynamic nonlocal response.
Wei Yan1, N Asger Mortensen, Martijn Wubs
1Department of Photonics Engineering & Center for Nanostructured Graphene (CNG), Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark.
Optics Express
|June 22, 2013
Summary
We studied nonlocal response in hyperbolic metamaterials (HMMs). Nonlocal effects significantly alter HMM lens focusing, shifting optimal imaging frequencies and requiring near-field measurements for detection.
Area of Science:
- Condensed Matter Physics
- Metamaterials Science
- Nanophotonics
Background:
- Hyperbolic metamaterials (HMMs) exhibit unique electromagnetic properties.
- Nonlocal response effects become significant when material constituents are comparable to electron plasma wavelengths.
Purpose of the Study:
- To investigate the impact of hydrodynamic nonlocal response in HMMs.
- To analytically derive nonlocal corrections to effective material parameters.
- To numerically illustrate nonlocal effects on HMM dispersion and focusing.
Main Methods:
- Analytical derivation of nonlocal corrections to effective material parameters.
- Numerical simulations to visualize nonlocal effects on dispersion curves.
- Theoretical analysis of HMM lens focusing characteristics.
Main Results:
- Nonlocal corrections to effective material parameters were derived.
- Significant differences in focusing characteristics between local and nonlocal models were observed for HMM lenses.
- The optimal imaging frequency in nonlocal theory is blueshifted compared to the local theory.
Conclusions:
- Hydrodynamic nonlocal response plays a crucial role in HMM behavior.
- Nonlocal effects must be considered for accurate prediction of HMM lens performance.
- Measuring the near-field distribution of HMM lenses is proposed to experimentally verify nonlocal effects.

