Reciprocity-induced symmetry in the round-trip transmission through complex systems

Reciprocity is a fundamental principle of wave physics and directly relates to the symmetry in the transmission through a system when interchanging the input and output. The coherent transmission matrix (TM) is a convenient method to characterize wave transmission through general media. Here, we dem...

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Main Authors: Szu-Yu Lee, Vicente J. Parot, Brett E. Bouma, Martin Villiger
Format: Article
Language:English
Published: AIP Publishing LLC 2020-10-01
Series:APL Photonics
Online Access:http://dx.doi.org/10.1063/5.0021285
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author Szu-Yu Lee
Vicente J. Parot
Brett E. Bouma
Martin Villiger
author_facet Szu-Yu Lee
Vicente J. Parot
Brett E. Bouma
Martin Villiger
author_sort Szu-Yu Lee
collection DOAJ
description Reciprocity is a fundamental principle of wave physics and directly relates to the symmetry in the transmission through a system when interchanging the input and output. The coherent transmission matrix (TM) is a convenient method to characterize wave transmission through general media. Here, we demonstrate the optical reciprocal nature of complex media by exploring their TM properties. We measured phase-corrected TMs of forward and round-trip propagation in a single polarization state through a looped 1 m-long step-index optical multimode fiber (MMF) to experimentally verify a transpose relationship between the forward and backward transmission. This symmetry impedes straightforward MMF calibration from proximal measurements of the round-trip TM. Furthermore, we show how focusing through the MMF with digital optical phase conjugation is compromised by system loss since time reversibility relies on power conservation. These insights may inform the development of new imaging techniques through complex media and coherent control of waves in photonic systems.
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spelling doaj.art-0e6ade3e5b91420cba7d761b5874a0b82022-12-22T00:04:08ZengAIP Publishing LLCAPL Photonics2378-09672020-10-01510106104106104-1010.1063/5.0021285Reciprocity-induced symmetry in the round-trip transmission through complex systemsSzu-Yu Lee0Vicente J. Parot1Brett E. Bouma2Martin Villiger3Harvard Medical School and Massachusetts General Hospital, Wellman Center for Photomedicine, Boston, Massachusetts 02114, USAHarvard Medical School and Massachusetts General Hospital, Wellman Center for Photomedicine, Boston, Massachusetts 02114, USAHarvard Medical School and Massachusetts General Hospital, Wellman Center for Photomedicine, Boston, Massachusetts 02114, USAHarvard Medical School and Massachusetts General Hospital, Wellman Center for Photomedicine, Boston, Massachusetts 02114, USAReciprocity is a fundamental principle of wave physics and directly relates to the symmetry in the transmission through a system when interchanging the input and output. The coherent transmission matrix (TM) is a convenient method to characterize wave transmission through general media. Here, we demonstrate the optical reciprocal nature of complex media by exploring their TM properties. We measured phase-corrected TMs of forward and round-trip propagation in a single polarization state through a looped 1 m-long step-index optical multimode fiber (MMF) to experimentally verify a transpose relationship between the forward and backward transmission. This symmetry impedes straightforward MMF calibration from proximal measurements of the round-trip TM. Furthermore, we show how focusing through the MMF with digital optical phase conjugation is compromised by system loss since time reversibility relies on power conservation. These insights may inform the development of new imaging techniques through complex media and coherent control of waves in photonic systems.http://dx.doi.org/10.1063/5.0021285
spellingShingle Szu-Yu Lee
Vicente J. Parot
Brett E. Bouma
Martin Villiger
Reciprocity-induced symmetry in the round-trip transmission through complex systems
APL Photonics
title Reciprocity-induced symmetry in the round-trip transmission through complex systems
title_full Reciprocity-induced symmetry in the round-trip transmission through complex systems
title_fullStr Reciprocity-induced symmetry in the round-trip transmission through complex systems
title_full_unstemmed Reciprocity-induced symmetry in the round-trip transmission through complex systems
title_short Reciprocity-induced symmetry in the round-trip transmission through complex systems
title_sort reciprocity induced symmetry in the round trip transmission through complex systems
url http://dx.doi.org/10.1063/5.0021285
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