Adaptive-Step Perturb-and-Observe Algorithm for Multidimensional Phase Noise Stabilization in Fiber-Based Multi-Arm Mach-Zehnder Interferometers

H. Abarzua; C. Melo; S.E. Restrepo; S. Vergara; D. Sbarbaro; G. Cañas; G. Lima; G. Saavedra; J. Cariñe

doi:10.20944/preprints202410.1296.v1

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preprints.org > engineering > control and systems engineering > doi: 10.20944/preprints202410.1296.v1

Preprint Article Version 1 This version is not peer-reviewed

Adaptive-Step Perturb-and-Observe Algorithm for Multidimensional Phase Noise Stabilization in Fiber-Based Multi-Arm Mach-Zehnder Interferometers

Version 1 : Received: 15 October 2024 / Approved: 16 October 2024 / Online: 17 October 2024 (03:16:19 CEST)

How to cite: Abarzua, H.; Melo, C.; Restrepo, S.; Vergara, S.; Sbarbaro, D.; Cañas, G.; Lima, G.; Saavedra, G.; Cariñe, J. Adaptive-Step Perturb-and-Observe Algorithm for Multidimensional Phase Noise Stabilization in Fiber-Based Multi-Arm Mach-Zehnder Interferometers. Preprints 2024, 2024101296. https://doi.org/10.20944/preprints202410.1296.v1 Abarzua, H.; Melo, C.; Restrepo, S.; Vergara, S.; Sbarbaro, D.; Cañas, G.; Lima, G.; Saavedra, G.; Cariñe, J. Adaptive-Step Perturb-and-Observe Algorithm for Multidimensional Phase Noise Stabilization in Fiber-Based Multi-Arm Mach-Zehnder Interferometers. Preprints 2024, 2024101296. https://doi.org/10.20944/preprints202410.1296.v1

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MDPI and ACS Style

Abarzua, H.; Melo, C.; Restrepo, S.; Vergara, S.; Sbarbaro, D.; Cañas, G.; Lima, G.; Saavedra, G.; Cariñe, J. Adaptive-Step Perturb-and-Observe Algorithm for Multidimensional Phase Noise Stabilization in Fiber-Based Multi-Arm Mach-Zehnder Interferometers. Preprints 2024, 2024101296. https://doi.org/10.20944/preprints202410.1296.v1

APA Style

Abarzua, H., Melo, C., Restrepo, S., Vergara, S., Sbarbaro, D., Cañas, G., Lima, G., Saavedra, G., & Cariñe, J. (2024). Adaptive-Step Perturb-and-Observe Algorithm for Multidimensional Phase Noise Stabilization in Fiber-Based Multi-Arm Mach-Zehnder Interferometers. Preprints. https://doi.org/10.20944/preprints202410.1296.v1

Chicago/Turabian Style

Abarzua, H., G. Saavedra and J. Cariñe. 2024 "Adaptive-Step Perturb-and-Observe Algorithm for Multidimensional Phase Noise Stabilization in Fiber-Based Multi-Arm Mach-Zehnder Interferometers" Preprints. https://doi.org/10.20944/preprints202410.1296.v1

Abstract

Fiber-optic Mach-Zehnder interferometers are widely used in research areas such as telecommunications, spectroscopy, and quantum information. These optical structures are known to be affected by phase fluctuations that are usually modeled as multiparametric noise.This multidimensional noise must be stabilized or compensated for to enable fiber-optic Mach-Zehnder architectures for practical applications. In this work, we study the effectiveness of a modified Perturb-and-Observe (P&O) algorithm to control multidimensional phase noise in fiber-based multi-arm Mach-Zehnder interferometers. We demonstrate the feasibility of stabilizing multidimensional phase noise by numerical simulations using a simple feedback control scheme and analyze the algorithm’s performance for systems up to dimension 8x8. We achieved minimal steady-state errors that guarantee high optical visibility in complex optical systems with N×N matrices (with N=[2,3,4,5,6,7,8]).

Keywords

Optical phase noise; Quantum Information; Multi-arm Mach-Zehnder interferometers

Subject

Engineering, Control and Systems Engineering

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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