Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance corrector

Polarization disturbance is a significant source of error in polarization-based experiments, where an input state is unpredictably transformed into an unintended state due to the birefringence of optical media. A solution to this problem is the implementation of a polarization disturbance corrector...

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Main Authors: J.A. Jiménez-Arias, M. Vázquez-Ibarra, S.A. Salazar-Altamirano, P. Moreno-Martínez, J.M. López-Romero, K. Jiménez-García, N.V. Corzo
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Results in Physics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2211379725000294
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author J.A. Jiménez-Arias
M. Vázquez-Ibarra
S.A. Salazar-Altamirano
P. Moreno-Martínez
J.M. López-Romero
K. Jiménez-García
N.V. Corzo
author_facet J.A. Jiménez-Arias
M. Vázquez-Ibarra
S.A. Salazar-Altamirano
P. Moreno-Martínez
J.M. López-Romero
K. Jiménez-García
N.V. Corzo
author_sort J.A. Jiménez-Arias
collection DOAJ
description Polarization disturbance is a significant source of error in polarization-based experiments, where an input state is unpredictably transformed into an unintended state due to the birefringence of optical media. A solution to this problem is the implementation of a polarization disturbance corrector based on a three-waveplate array. In this work, we propose a theoretical framework to derive the analytical expressions of the correction parameters for a three-waveplate array with retardance (η1,η2,η3), along with an experimental method that requires only a single polarization measurement basis. The proposed theoretical framework, based on the mathematical treatment of polarization and its relation with the mathematical structure of the SU(2) Lie group, reveals the fundamental role of the transformations performed by a three-waveplate array in correcting polarization disturbances while analytical expression are deduced. Furthermore, we validate the theoretical derived expressions by implementing a three-waveplate array with retardances close to (π/2,π/2,π) in an experimental scenario, successfully compensating for polarization disturbance introduced by a single-mode optical fiber. The experimental results were evaluated through the calculation of polarization state fidelities, achieving values approaching unity. The experimental method presented in this work enables a precise correction to polarization disturbance as well as an enhancement of the robustness of experiments involving polarization against external variables that affect birefringent media. Our work sets the theoretical and experimental foundations for developing automated optical correction systems with precise polarization control in polarization-based experiments.
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spelling doaj-art-8d35a88c9d9c4686bded9bf626ad41ee2025-02-11T04:34:46ZengElsevierResults in Physics2211-37972025-03-0170108135Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance correctorJ.A. Jiménez-Arias0M. Vázquez-Ibarra1S.A. Salazar-Altamirano2P. Moreno-Martínez3J.M. López-Romero4K. Jiménez-García5N.V. Corzo6Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Departamento de Física, Av. Instituto Politécnico Nacional 2508, Gustavo A. Madero, 07360, Mexico City, MexicoCentro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Unidad Querétaro, Libramiento Norponiente No. 2000, Santiago de Querétaro, 76230, Querétaro, MexicoCentro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Unidad Querétaro, Libramiento Norponiente No. 2000, Santiago de Querétaro, 76230, Querétaro, MexicoCentro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Unidad Querétaro, Libramiento Norponiente No. 2000, Santiago de Querétaro, 76230, Querétaro, MexicoCentro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Unidad Querétaro, Libramiento Norponiente No. 2000, Santiago de Querétaro, 76230, Querétaro, MexicoCentro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Unidad Querétaro, Libramiento Norponiente No. 2000, Santiago de Querétaro, 76230, Querétaro, MexicoCentro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Unidad Querétaro, Libramiento Norponiente No. 2000, Santiago de Querétaro, 76230, Querétaro, Mexico; Corresponding author.Polarization disturbance is a significant source of error in polarization-based experiments, where an input state is unpredictably transformed into an unintended state due to the birefringence of optical media. A solution to this problem is the implementation of a polarization disturbance corrector based on a three-waveplate array. In this work, we propose a theoretical framework to derive the analytical expressions of the correction parameters for a three-waveplate array with retardance (η1,η2,η3), along with an experimental method that requires only a single polarization measurement basis. The proposed theoretical framework, based on the mathematical treatment of polarization and its relation with the mathematical structure of the SU(2) Lie group, reveals the fundamental role of the transformations performed by a three-waveplate array in correcting polarization disturbances while analytical expression are deduced. Furthermore, we validate the theoretical derived expressions by implementing a three-waveplate array with retardances close to (π/2,π/2,π) in an experimental scenario, successfully compensating for polarization disturbance introduced by a single-mode optical fiber. The experimental results were evaluated through the calculation of polarization state fidelities, achieving values approaching unity. The experimental method presented in this work enables a precise correction to polarization disturbance as well as an enhancement of the robustness of experiments involving polarization against external variables that affect birefringent media. Our work sets the theoretical and experimental foundations for developing automated optical correction systems with precise polarization control in polarization-based experiments.http://www.sciencedirect.com/science/article/pii/S2211379725000294Polarization disturbance correctionPolarization-based experimentsNon-ideal three-waveplate arraySimon–Mukunda arraySU(2) Lie group
spellingShingle J.A. Jiménez-Arias
M. Vázquez-Ibarra
S.A. Salazar-Altamirano
P. Moreno-Martínez
J.M. López-Romero
K. Jiménez-García
N.V. Corzo
Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance corrector
Results in Physics
Polarization disturbance correction
Polarization-based experiments
Non-ideal three-waveplate array
Simon–Mukunda array
SU(2) Lie group
title Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance corrector
title_full Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance corrector
title_fullStr Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance corrector
title_full_unstemmed Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance corrector
title_short Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance corrector
title_sort experimental implementation of a non ideal three waveplate array as a polarization disturbance corrector
topic Polarization disturbance correction
Polarization-based experiments
Non-ideal three-waveplate array
Simon–Mukunda array
SU(2) Lie group
url http://www.sciencedirect.com/science/article/pii/S2211379725000294
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