First order optical differentiator based on an FBG in transmission

Miguel A. Preciado; Xuewen Shu; Paul Harper; Kate Sugden

doi:10.1109/CLEOE-IQEC.2013.6801286

First order optical differentiator based on an FBG in transmission

Miguel A. Preciado^*, Xuewen Shu, Paul Harper, Kate Sugden

^*Corresponding author for this work

Aston Institute of Photonic Technologies (AiPT)

Research output: Chapter in Book/Published conference output › Conference publication

Abstract

Optical differentiators constitute a basic device for analog all-optical signal processing [1]. Fiber grating approaches, both fiber Bragg grating (FBG) and long period grating (LPG), constitute an attractive solution because of their low cost, low insertion losses, and full compatibility with fiber optic systems. A first order differentiator LPG approach was proposed and demonstrated in [2], but FBGs may be preferred in applications with a bandwidth up to few nm because of the extreme sensitivity of LPGs to environmental fluctuations [3]. Several FBG approaches have been proposed in [3-6], requiring one or more additional optical elements to create a first-order differentiator. A very simple, single optical element FBG approach was proposed in [7] for first order differentiation, applying the well-known logarithmic Hilbert transform relation of the amplitude and phase of an FBG in transmission [8]. Using this relationship in the design process, it was theoretically and numerically demonstrated that a single FBG in transmission can be designed to simultaneously approach the amplitude and phase of a first-order differentiator spectral response, without need of any additional elements.

Original language	English
Title of host publication	2013 Conference on Lasers and Electro-Optics Europe & International Quantum Electronics Conference
Place of Publication	Piscataway, NJ (US)
Publisher	IEEE
Number of pages	1
ISBN (Print)	978-1-4799-0593-5, 978-1-4799-0594-2
DOIs	https://doi.org/10.1109/CLEOE-IQEC.2013.6801286
Publication status	Published - 2013
Event	2013 Conference on Lasers and Electro-Optics Europe / International Quantum Electronics Conference - Munich, Germany Duration: 12 May 2013 → 16 May 2013

Conference

Conference	2013 Conference on Lasers and Electro-Optics Europe / International Quantum Electronics Conference
Abbreviated title	CLEO EUROPE/IQEC 2013
Country/Territory	Germany
City	Munich
Period	12/05/13 → 16/05/13

Bibliographical note

© 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Access to Document

10.1109/CLEOE-IQEC.2013.6801286

First order optical differentiator based on an FBG in transmission
© 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Accepted author manuscript, 257 KB

Cite this

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title = "First order optical differentiator based on an FBG in transmission",

abstract = "Optical differentiators constitute a basic device for analog all-optical signal processing [1]. Fiber grating approaches, both fiber Bragg grating (FBG) and long period grating (LPG), constitute an attractive solution because of their low cost, low insertion losses, and full compatibility with fiber optic systems. A first order differentiator LPG approach was proposed and demonstrated in [2], but FBGs may be preferred in applications with a bandwidth up to few nm because of the extreme sensitivity of LPGs to environmental fluctuations [3]. Several FBG approaches have been proposed in [3-6], requiring one or more additional optical elements to create a first-order differentiator. A very simple, single optical element FBG approach was proposed in [7] for first order differentiation, applying the well-known logarithmic Hilbert transform relation of the amplitude and phase of an FBG in transmission [8]. Using this relationship in the design process, it was theoretically and numerically demonstrated that a single FBG in transmission can be designed to simultaneously approach the amplitude and phase of a first-order differentiator spectral response, without need of any additional elements.",

author = "Preciado, {Miguel A.} and Xuewen Shu and Paul Harper and Kate Sugden",

note = "{\textcopyright} 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.; 2013 Conference on Lasers and Electro-Optics Europe / International Quantum Electronics Conference, CLEO EUROPE/IQEC 2013 ; Conference date: 12-05-2013 Through 16-05-2013",

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Preciado, MA, Shu, X, Harper, P & Sugden, K 2013, First order optical differentiator based on an FBG in transmission. in 2013 Conference on Lasers and Electro-Optics Europe & International Quantum Electronics Conference., paper CI_P_3, IEEE, Piscataway, NJ (US), 2013 Conference on Lasers and Electro-Optics Europe / International Quantum Electronics Conference, Munich, Germany, 12/05/13. https://doi.org/10.1109/CLEOE-IQEC.2013.6801286

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AU - Sugden, Kate

N1 - © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

PY - 2013

Y1 - 2013

N2 - Optical differentiators constitute a basic device for analog all-optical signal processing [1]. Fiber grating approaches, both fiber Bragg grating (FBG) and long period grating (LPG), constitute an attractive solution because of their low cost, low insertion losses, and full compatibility with fiber optic systems. A first order differentiator LPG approach was proposed and demonstrated in [2], but FBGs may be preferred in applications with a bandwidth up to few nm because of the extreme sensitivity of LPGs to environmental fluctuations [3]. Several FBG approaches have been proposed in [3-6], requiring one or more additional optical elements to create a first-order differentiator. A very simple, single optical element FBG approach was proposed in [7] for first order differentiation, applying the well-known logarithmic Hilbert transform relation of the amplitude and phase of an FBG in transmission [8]. Using this relationship in the design process, it was theoretically and numerically demonstrated that a single FBG in transmission can be designed to simultaneously approach the amplitude and phase of a first-order differentiator spectral response, without need of any additional elements.

AB - Optical differentiators constitute a basic device for analog all-optical signal processing [1]. Fiber grating approaches, both fiber Bragg grating (FBG) and long period grating (LPG), constitute an attractive solution because of their low cost, low insertion losses, and full compatibility with fiber optic systems. A first order differentiator LPG approach was proposed and demonstrated in [2], but FBGs may be preferred in applications with a bandwidth up to few nm because of the extreme sensitivity of LPGs to environmental fluctuations [3]. Several FBG approaches have been proposed in [3-6], requiring one or more additional optical elements to create a first-order differentiator. A very simple, single optical element FBG approach was proposed in [7] for first order differentiation, applying the well-known logarithmic Hilbert transform relation of the amplitude and phase of an FBG in transmission [8]. Using this relationship in the design process, it was theoretically and numerically demonstrated that a single FBG in transmission can be designed to simultaneously approach the amplitude and phase of a first-order differentiator spectral response, without need of any additional elements.

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ER -

First order optical differentiator based on an FBG in transmission

Abstract

Conference

Bibliographical note

Access to Document

Other files and links

Fingerprint

Blue-to-red tunable SHG from a diode-pumped PPKTP waveguide

Control of the properties of micro-structured waveguides in LiNbO₃ fabricated by direct femtosecond laser inscription

Highly efficient SHG at 561 nm using a QD laser and a PPLN waveguide

Cite this

First order optical differentiator based on an FBG in transmission

Abstract

Conference

Bibliographical note

Access to Document

Other files and links

Fingerprint

Research output

Blue-to-red tunable SHG from a diode-pumped PPKTP waveguide

Control of the properties of micro-structured waveguides in LiNbO3 fabricated by direct femtosecond laser inscription

Highly efficient SHG at 561 nm using a QD laser and a PPLN waveguide

Cite this

Control of the properties of micro-structured waveguides in LiNbO₃ fabricated by direct femtosecond laser inscription