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Published on: June 28, 2016
Diffraction and pseudospectra in non-Hermitian quasiperiodic lattices.
Ananya Ghatak1, Dimitrios H Kaltsas2, Manas Kulkarni3
1Foundation for Research and Technology-Hellas (FORTH), Institute of Electronic Structure and Laser (IESL), P.O. Box 1527, 71110 Heraklion, Greece.
This study explores wave dynamics in disordered photonic systems with gain and loss. We reveal how nonlinearity and non-hermiticity interact, impacting quantized jumps in waveguide arrays.
Area of Science:
- Non-Hermitian physics
- Integrated photonics
- Wave dynamics
Background:
- Disordered open media exhibit intriguing wave dynamics, particularly in non-Hermitian photonics.
- Spatial gain and loss distributions are realizable in integrated photonic waveguide arrays.
- Quantized jumps in propagation are observed in strong disorder regimes where eigenstates localize.
Purpose of the Study:
- Systematically investigate the non-Hermitian quasiperiodic Aubry-André-Harper model with on-site gain and loss.
- Analyze spectral sensitivity using pseudospectra.
- Detail diffraction dynamics, quantized jumps, and the effect of saturable nonlinearity.
Main Methods:
- Pseudospectra analysis for spectral sensitivity.
- Study of the non-Hermitian quasiperiodic Aubry-André-Harper model.
- Investigation of diffraction dynamics and nonlinear effects.
Main Results:
- Demonstrated spectral sensitivity in the non-Hermitian model.
- Observed and analyzed quantized jumps in the strong disorder limit.
- Detailed the influence of saturable nonlinearity on wave dynamics.
- Revealed an intricate relation between nonlinearity and non-hermiticity.
Conclusions:
- Nonlinearity significantly modulates non-Hermitian wave dynamics in disordered photonic systems.
- Understanding these interactions is crucial for designing advanced photonic devices.
- The study provides insights into quantized jumps and spectral properties in complex optical lattices.
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