Size Effects in Periodic Metamaterials

Victor V. Gozhenko · arXiv · 2023

Numerical results show that reflection and transmission of periodic electromagnetic metamaterials change with unit-cell size relative to wavelength, challenging homogenization when d is comparable to λ.

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Plain English summary

The work studies how the optical behavior of periodic electromagnetic metamaterials depends on the ratio between the unit cell size (d) and the incident wavelength (λ). Using numerical calculations for realistic metamaterials, the authors compute reflection (R) and transmission (T) across a wide range of d/λ values, covering different operating regimes. They identify unusual features in how R and T vary and explain the causes of these peculiarities. Overall, the results are used to argue that homogenization is not applicable when the unit cell size is comparable to the wavelength, contrary to some earlier claims.

Why this matters

The abstract claims the results support inapplicability of the homogenization concept for metamaterials with unit cell size comparable to the incident wavelength, contrasting with some previously published results. The abstract provides only numerical study details and does not discuss prototypes, testing, or deployment.

Key findings

  • Reflection (R) and transmission (T) are functions of the relative unit cell size d/λ.
  • Numerical calculations span multiple operating regimes of periodic electromagnetic metamaterials.
  • Peculiarities in R and T behavior occur at certain d/λ ranges.
  • The authors outline causes for these peculiarities.
  • Results support inapplicability of homogenization when d is comparable to λ.

Limitations

The abstract describes numerical calculations and discussion of optical properties; it does not mention experiments, fabrication, or validation, nor does it specify which metamaterial designs or parameter sets were used beyond being 'realistic.'

Publication

Publisher
arXiv
Publication date
January 9, 2023
Research type
Preprint
arXiv
2301.03518
Access
open

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Method note: Summaries and ratings on this page are generated by AI from the abstract only. Read the original paper for full context. · Model: gpt-5.4-nano-2026-03-17