Scattering by finite periodic $\mathcal{P}\mathcal{T}$-symmetric structures

Abstract

In this work, we study the transmission properties of one dimensional finite periodic systems with $\mathcal{P}\mathcal{T}$-symmetry. A simple closed form expression is obtained for the total transmittance from a lattice of N cells, that allows us to describe the transmission minima (maxima) when the system is in the $\mathcal{P}\mathcal{T}$-unbroken (broken) phase. Utilizing this expression, we provide the necessary conditions, \textit{independent} of the number of cells, for the occurrence of a CPA-laser for any finite $\mathcal{P}\mathcal{T}$-symmetric periodic potential. Under this conditions, we provide a recipe for building finite periodic structures with near perfect absorption and extremely large amplification.

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Cited by in corpus (13)

• Unambiguous scattering matrix for non-Hermitian systems
• Experimental demonstration of asymmetric diffraction based on a passive parity-time-symmetric acoustic grating
• Finite size effects on topological interface states in one-dimensional scattering systems
• Non-Hermitian spectral changes in the scattering of partially coherent radiation by periodic structures
• Harnessing $\mathcal{P}\mathcal{T}$-symmetry in non-Hermitian stiffness-modulated waveguides
• Study on Asymmetric Diffraction of Acoustic Parity-Time-Symmetric Gratings Using Rigorous Coupled-Wave Analysis
• Polar magneto-optic Kerr and Faraday effects in finite periodic \texorpdfstring{$\mathcal{P}\mathcal{T}$}{PT}-symmetric systems
• Born-Padé approach to electromagnetic scattering in complex one-dimensional inhomogeneous slabs
• Resonant scattering of two-dimensional honeycomb PT dipole structure
• Two dimensional non-Hermitian harmonic oscillator: coherent states
• Robustness of perfect transmission resonances to asymmetric perturbation
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Characteristic determinant approach to the spectrum of one-dimensional $\mathcal{P}\mathcal{T}$-symmetric systems