Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes

In non-Hermitian photonics, introducing gain and loss offers new degrees of freedom to control optical systems and a unique approach to explore fundamental concepts. Random lasers are a natural class of non-Hermitian open optical systems where spatial confinement, leakage, and non-orthogonality of t...

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Main Authors: Bhupesh Kumar, Jonathan Andreasen, Patrick Sebbah
Format: Article
Language:English
Published: AIP Publishing LLC 2025-01-01
Series:APL Photonics
Online Access:http://dx.doi.org/10.1063/5.0232985
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author Bhupesh Kumar
Jonathan Andreasen
Patrick Sebbah
author_facet Bhupesh Kumar
Jonathan Andreasen
Patrick Sebbah
author_sort Bhupesh Kumar
collection DOAJ
description In non-Hermitian photonics, introducing gain and loss offers new degrees of freedom to control optical systems and a unique approach to explore fundamental concepts. Random lasers are a natural class of non-Hermitian open optical systems where spatial confinement, leakage, and non-orthogonality of the modes are further controlled by the degree of scattering. How Anderson localization is impacted by complex potentials, gain and loss and, more generally, nonlinearities has been the subject of numerous theoretical debates, without any conclusive experimental demonstration yet. Indeed, in systems where localized modes have sufficient spatial extension to be observed and investigated, their mutual interaction and coupling to the sample boundaries make it extremely difficult to isolate them spectrally and investigate them alone. Here, the degree of non-Hermiticity of an active scattering medium is controlled by shaping the pump. By imaging the intensity distribution of individual localized lasing modes, we demonstrate experimentally their insensitivity to local pumping; a signature that orthogonality is preserved between modes localized away from the system boundaries, as theoretically established. Demonstration of the one-to-one correspondence between lasing modes and localized states of the passive system opens the route to investigate the robustness of localized states in the presence of nonlinear gain and nonlinear modal interactions. Interestingly, gain saturation and mode competition for gain do not affect the spatial distribution of the modes, demonstrating their orthogonality in an otherwise strongly non-Hermitian system.
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spelling doaj-art-9b778debf29043c49a50178f37a02d142025-02-03T16:36:22ZengAIP Publishing LLCAPL Photonics2378-09672025-01-01101016107016107-910.1063/5.0232985Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modesBhupesh Kumar0Jonathan Andreasen1Patrick Sebbah2Department of Physics, The Jack and Pearl Resnick Institute for Advanced Technology, Bar-Ilan University, Ramat-Gan 5290002, IsraelGeorgia Tech Research Institute in Atlanta, Atlanta, Georgia 30332, USADepartment of Physics, The Jack and Pearl Resnick Institute for Advanced Technology, Bar-Ilan University, Ramat-Gan 5290002, IsraelIn non-Hermitian photonics, introducing gain and loss offers new degrees of freedom to control optical systems and a unique approach to explore fundamental concepts. Random lasers are a natural class of non-Hermitian open optical systems where spatial confinement, leakage, and non-orthogonality of the modes are further controlled by the degree of scattering. How Anderson localization is impacted by complex potentials, gain and loss and, more generally, nonlinearities has been the subject of numerous theoretical debates, without any conclusive experimental demonstration yet. Indeed, in systems where localized modes have sufficient spatial extension to be observed and investigated, their mutual interaction and coupling to the sample boundaries make it extremely difficult to isolate them spectrally and investigate them alone. Here, the degree of non-Hermiticity of an active scattering medium is controlled by shaping the pump. By imaging the intensity distribution of individual localized lasing modes, we demonstrate experimentally their insensitivity to local pumping; a signature that orthogonality is preserved between modes localized away from the system boundaries, as theoretically established. Demonstration of the one-to-one correspondence between lasing modes and localized states of the passive system opens the route to investigate the robustness of localized states in the presence of nonlinear gain and nonlinear modal interactions. Interestingly, gain saturation and mode competition for gain do not affect the spatial distribution of the modes, demonstrating their orthogonality in an otherwise strongly non-Hermitian system.http://dx.doi.org/10.1063/5.0232985
spellingShingle Bhupesh Kumar
Jonathan Andreasen
Patrick Sebbah
Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes
APL Photonics
title Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes
title_full Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes
title_fullStr Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes
title_full_unstemmed Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes
title_short Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes
title_sort impact of non hermiticity and nonlinear interactions on disorder induced localized modes
url http://dx.doi.org/10.1063/5.0232985
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