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Nonlinear scattering by non-Hermitian multilayers with saturation effects.

O V Shramkova1, K G Makris2,3, D N Christodoulides4

  • 1Research & Innovation, InterDigital, 975 avenue des Champs Blancs, 35576 Cesson-Sévigné, France.

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Summary
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We explored optical properties of non-Hermitian layered systems with gain and loss. Tuning layer parameters controls nonlinearity, enabling unique optical behaviors like zero reflection tunneling.

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Area of Science:

  • Optics and Photonics
  • Condensed Matter Physics
  • Nonlinear Optics

Background:

  • Non-Hermitian systems exhibit unique properties due to gain and loss.
  • Layered materials offer tunable optical responses.
  • Nonlinearity significantly impacts wave propagation in optical systems.

Purpose of the Study:

  • To theoretically investigate the optical properties of a one-dimensional non-Hermitian dispersive layered system with saturable gain and loss.
  • To analyze the nonreciprocity and asymmetric scattering characteristics.
  • To examine the influence of nonlinearity on scattering properties and PT-symmetric structures.

Main Methods:

  • Perturbative solution of the nonhomogeneous Helmholtz equation.
  • Application of the modified transfer matrix method.
  • Derivation of closed-form expressions for reflection and transmission coefficients for TM waves.

Main Results:

  • Obtained closed-form expressions revealing nonreciprocity in scattering.
  • Demonstrated control over nonlinearity's impact by tuning layer parameters.
  • Investigated asymmetric and nonreciprocal reflectance/transmittance in PT-symmetric slabs.
  • Showcased effective tunneling with zero reflection through PT-symmetric structures.

Conclusions:

  • The study provides a theoretical framework for understanding optical properties in non-Hermitian layered systems.
  • Nonlinearity can be harnessed to tailor scattering characteristics and achieve novel optical phenomena.
  • The findings are relevant for designing advanced optical devices with tailored functionalities.