Invariance of the speckle pattern of the transmitted wave in periodic waveguides

Abstract We report on conditions of invariance of the transmitted pattern in the propagation through a periodic waveguide, the incident wave having no effect on the intensity pattern of the transmitted field. This phenomenon is reminiscent of that observed when illuminating a disordered medium in th...

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Main Authors: Elie Salemeh, Simon Félix, Vincent Pagneux
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-85971-7
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author Elie Salemeh
Simon Félix
Vincent Pagneux
author_facet Elie Salemeh
Simon Félix
Vincent Pagneux
author_sort Elie Salemeh
collection DOAJ
description Abstract We report on conditions of invariance of the transmitted pattern in the propagation through a periodic waveguide, the incident wave having no effect on the intensity pattern of the transmitted field. This phenomenon is reminiscent of that observed when illuminating a disordered medium in the regime of Anderson localization, as a consequence of the contribution of a single transmission eigenchannel to the transmitted wave. It is shown that the freezing of the transmitted wave is not intrinsically related to the disorder and that, whatever the frequency, it can also be observed in a regular, periodic system, provided that at most one Bloch mode is propagating. Moreover, while all localized modes in a disordered medium are exponentially decaying, our periodic waveguide system offers the possibility of observing the freezing with propagating waves, hence without the counterpart of having a very low energy transmission.
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series Scientific Reports
spelling doaj-art-ccd3e0da7fae42bda456b774f25b91c22025-01-26T12:33:21ZengNature PortfolioScientific Reports2045-23222025-01-011511810.1038/s41598-025-85971-7Invariance of the speckle pattern of the transmitted wave in periodic waveguidesElie Salemeh0Simon Félix1Vincent Pagneux2Laboratoire d’Acoustique de l’Université du Mans (LAUM), UMR 6613, Institut d’Acoustique - Graduate School (IA-GS), CNRS, Le Mans UniversitéLaboratoire d’Acoustique de l’Université du Mans (LAUM), UMR 6613, Institut d’Acoustique - Graduate School (IA-GS), CNRS, Le Mans UniversitéLaboratoire d’Acoustique de l’Université du Mans (LAUM), UMR 6613, Institut d’Acoustique - Graduate School (IA-GS), CNRS, Le Mans UniversitéAbstract We report on conditions of invariance of the transmitted pattern in the propagation through a periodic waveguide, the incident wave having no effect on the intensity pattern of the transmitted field. This phenomenon is reminiscent of that observed when illuminating a disordered medium in the regime of Anderson localization, as a consequence of the contribution of a single transmission eigenchannel to the transmitted wave. It is shown that the freezing of the transmitted wave is not intrinsically related to the disorder and that, whatever the frequency, it can also be observed in a regular, periodic system, provided that at most one Bloch mode is propagating. Moreover, while all localized modes in a disordered medium are exponentially decaying, our periodic waveguide system offers the possibility of observing the freezing with propagating waves, hence without the counterpart of having a very low energy transmission.https://doi.org/10.1038/s41598-025-85971-7
spellingShingle Elie Salemeh
Simon Félix
Vincent Pagneux
Invariance of the speckle pattern of the transmitted wave in periodic waveguides
Scientific Reports
title Invariance of the speckle pattern of the transmitted wave in periodic waveguides
title_full Invariance of the speckle pattern of the transmitted wave in periodic waveguides
title_fullStr Invariance of the speckle pattern of the transmitted wave in periodic waveguides
title_full_unstemmed Invariance of the speckle pattern of the transmitted wave in periodic waveguides
title_short Invariance of the speckle pattern of the transmitted wave in periodic waveguides
title_sort invariance of the speckle pattern of the transmitted wave in periodic waveguides
url https://doi.org/10.1038/s41598-025-85971-7
work_keys_str_mv AT eliesalemeh invarianceofthespecklepatternofthetransmittedwaveinperiodicwaveguides
AT simonfelix invarianceofthespecklepatternofthetransmittedwaveinperiodicwaveguides
AT vincentpagneux invarianceofthespecklepatternofthetransmittedwaveinperiodicwaveguides