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Fractional order integration using a fiber Fabry-Pérot interferometer.

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Title: Fractional order integration using a fiber Fabry-Pérot interferometer.
Authors: Tendela, Lucas1,2 (AUTHOR) tendela@ifir-conicet.gov.ar, Cuadrado-Laborde, Christian1 (AUTHOR), Cruz, José Luis3 (AUTHOR), Chen, Xianfeng4 (AUTHOR), Andrés, Miguel V.3 (AUTHOR) miguel.andres@uv.es
Source: Optical & Quantum Electronics. Apr2026, Vol. 58 Issue 4, p1-20. 20p.
Subjects: Fractional integrals, Fabry-Perot interferometers, Photonics, Transfer matrix, Optical information processing, Fiber Bragg gratings, Light filters
Abstract: The theoretical, numerical, and experimental demonstration of optical fraction-al-order integration is presented using a Fabry-Pérot interferometer made up of two fiber Bragg gratings. A spectral filtering behavior consistent with fractional-order integration is demonstrated by modeling the interferometer using the transfer matrix method and de-riving analytical expressions. It is shown that, under appropriate design conditions, the output light pulse corresponds to the mathematical result of applying a fractional integration operator to the input light pulse. This behavior is confirmed through numerical simulations and validated experimentally by fabricating a customized Fabry-Pérot interferometer, in which two fiber Bragg gratings are recorded in a photosensitive optical fiber. Analytical expressions relating the integration order to the reflectivity of a fiber Bragg grating are also derived, together with an analysis of the bandwidths that this optical de-vice can process. To the best of our knowledge, this is the first experimental demonstration of all-fiber fractional-order integration. The transmission of the fiber interferometer is experimentally characterized. Its performance as a photonic fractional integrator is demonstrated using light pulses as input. The results indicate that fractional-order operators can be implemented in an all-optical manner using fiber-optic technology. [ABSTRACT FROM AUTHOR]
Copyright of Optical & Quantum Electronics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 193198644
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Fractional order integration using a fiber Fabry-Pérot interferometer.
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  Data: <searchLink fieldCode="JN" term="%22Optical+%26+Quantum+Electronics%22">Optical & Quantum Electronics</searchLink>. Apr2026, Vol. 58 Issue 4, p1-20. 20p.
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  Data: The theoretical, numerical, and experimental demonstration of optical fraction-al-order integration is presented using a Fabry-Pérot interferometer made up of two fiber Bragg gratings. A spectral filtering behavior consistent with fractional-order integration is demonstrated by modeling the interferometer using the transfer matrix method and de-riving analytical expressions. It is shown that, under appropriate design conditions, the output light pulse corresponds to the mathematical result of applying a fractional integration operator to the input light pulse. This behavior is confirmed through numerical simulations and validated experimentally by fabricating a customized Fabry-Pérot interferometer, in which two fiber Bragg gratings are recorded in a photosensitive optical fiber. Analytical expressions relating the integration order to the reflectivity of a fiber Bragg grating are also derived, together with an analysis of the bandwidths that this optical de-vice can process. To the best of our knowledge, this is the first experimental demonstration of all-fiber fractional-order integration. The transmission of the fiber interferometer is experimentally characterized. Its performance as a photonic fractional integrator is demonstrated using light pulses as input. The results indicate that fractional-order operators can be implemented in an all-optical manner using fiber-optic technology. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Optical & Quantum Electronics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s11082-026-08722-6
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        Text: English
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      – SubjectFull: Fiber Bragg gratings
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      – SubjectFull: Light filters
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              Text: Apr2026
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