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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

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Published on: November 30, 2012

Airy Resonances in Photonic Crystal Superpotentials.

Zeyu Zhang1, Brian Gould1, Maria Barsukova1

  • 1The Pennsylvania State University, Department of Physics, University Park, Pennsylvania, USA.

Physical Review Letters
|May 22, 2026
PubMed
Summary
This summary is machine-generated.

Airy resonances were observed in photonic crystals due to a linear potential variation. This leads to a non-Hermitian Schrödinger equation, altering optical responses.

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Area of Science:

  • Photonics
  • Wave Mechanics
  • Quantum Optics

Background:

  • Airy wave functions describe quantum bouncing balls and optical Airy beams with unique curved propagation and self-healing.
  • Photonic crystals offer a platform to study wave phenomena in engineered structures.

Purpose of the Study:

  • To observe Airy resonances in two-dimensional photonic crystals.
  • To investigate the effect of a linear spatial variation in lattice constant on these resonances.

Main Methods:

  • Fabrication of two-dimensional photonic crystals with a linear variation in hole lattice constant.
  • Mapping the electromagnetic behavior to a 2D non-Hermitian Schrödinger equation with a linear potential (superpotential).

Main Results:

  • Observation of Airy resonances in the photonic crystal lattice.
  • Identification of non-Hermiticity arising from a complex effective mass due to out-of-plane radiation.
  • Demonstration that non-Hermiticity fundamentally alters the optical response of Airy resonances.

Conclusions:

  • Airy resonances can be realized in photonic crystals by introducing a linear potential.
  • The non-Hermitian nature of the system significantly impacts the optical properties.
  • This work provides a new avenue for exploring wave phenomena in engineered optical systems.