Fundamental absorption bandwidth to thickness limit for transparent homogeneous layers

Willie J. Padilla, Yang Deng, Omar Khatib, Vahid Tarokh · arXiv · 2023

A universal bandwidth-to-thickness limit for transparent homogeneous absorber layers is derived via Kramers–Kronig relations and supported by simulations and metamaterial modeling.

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Plain English summary

The authors study how thin an absorber layer can be while still achieving a certain absorption bandwidth. Earlier work focused on metal-backed slabs; this work targets non metal-backed, transparent homogeneous layers. They derive a universal relationship between minimal layer thickness and bandwidth using the Kramers–Kronig relations. This provides fundamental limits on absorber performance beyond specific material stacks. To support the theory, they validate it with transfer matrix calculations for homogeneous materials and with full-wave numerical simulations of electromagnetic metamaterials. The authors argue these results will matter for both fundamental understanding and applied absorber design.

Why this matters

The abstract claims a new universal bandwidth-to-thickness limit for absorbers in the non metal-backed (transparent homogeneous layer) case, extending prior metal-backed slab results using Kramers–Kronig relations. No experimental demonstration, prototype deployment, or commercial implementation is stated; evidence is limited to theory and simulations.

Key findings

  • A universal fundamental relationship is established for minimal layer thickness versus bandwidth for non metal-backed transparent homogeneous layers.
  • The derivation uses Kramers–Kronig relations to generalize absorber limits.
  • The theory is validated with transfer matrix calculations of homogeneous materials.
  • The theory is also validated with full-wave numerical simulations of electromagnetic metamaterials.
  • The results provide more general fundamental limits on absorbers for both fundamental and applied studies.

Limitations

The abstract does not report experimental validation, device fabrication, or specific material systems; it only mentions theory plus transfer-matrix calculations and full-wave numerical simulations.

Publication

Publisher
arXiv
Publication date
August 28, 2023
Research type
Preprint
arXiv
2308.14839
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