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Scattering by Finite Periodic PT-Symmetric Structures.

V Achilleos1, Y Aurégan1, V Pagneux1

  • 1Laboratoire d'Acoustique de l'Université du Maine, UMR CNRS 6613 Av. O. Messiaen, F-72085 LE MANS Cedex 9, France.

Physical Review Letters
|December 30, 2017
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Summary
This summary is machine-generated.

We derived a formula for transmission in PT-symmetric systems. This allows designing structures for perfect absorption and laser amplification, regardless of system size.

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Area of Science:

  • Quantum mechanics
  • Photonics
  • Materials science

Background:

  • Parity-time (PT) symmetry in physical systems offers unique transmission properties.
  • Finite periodic systems are crucial for developing advanced optical devices.

Purpose of the Study:

  • To investigate the transmission characteristics of finite one-dimensional periodic systems exhibiting PT symmetry.
  • To derive conditions for coherent perfect absorption and lasing in such systems.

Main Methods:

  • Derivation of a closed-form expression for total transmittance in N-cell lattices.
  • Analysis of transmission minima and maxima in PT-unbroken and PT-broken phases.
  • Identification of conditions for coherent perfect absorber and laser functionalities.

Main Results:

  • A simple closed-form expression for transmittance was obtained.
  • Conditions for transmission minima (PT-unbroken) and maxima (PT-broken) were described.
  • Necessary, cell-number-independent conditions for coherent perfect absorber and laser were established.

Conclusions:

  • Finite PT-symmetric periodic potentials can be engineered for near-perfect absorption and significant amplification.
  • The derived conditions provide a practical guide for designing novel optical devices.
  • This work advances the understanding and application of PT symmetry in condensed matter physics and photonics.