Development of an all-fiber broadband source using supercontinuum generation

In this research work, the design, characterization and implementation of a broadband source (denoted as $S_H$) using the nonlinear phenomenon of supercontinuum (SC) generation were carried out. This source consists of a ring laser cavity for generating ultrashort pulses using an erbium-doped fiber...

Full description

Autores:
Martínez Suárez, Daniel Humberto
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2025
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/47961
Acceso en línea:
https://hdl.handle.net/10495/47961
Palabra clave:
Pulsed laser deposition
Infrared spectroscopy
Espectroscopia infrarroja
Sistemas de comunicación de banda ancha
Broadband communication systems
Broadband source
Monolayer Graphene
Supercontinuum generation
http://id.loc.gov/authorities/subjects/sh93004736
http://id.loc.gov/authorities/subjects/sh85066329
Rights
embargoedAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.title.eng.fl_str_mv Development of an all-fiber broadband source using supercontinuum generation
title Development of an all-fiber broadband source using supercontinuum generation
spellingShingle Development of an all-fiber broadband source using supercontinuum generation
Pulsed laser deposition
Infrared spectroscopy
Espectroscopia infrarroja
Sistemas de comunicación de banda ancha
Broadband communication systems
Broadband source
Monolayer Graphene
Supercontinuum generation
http://id.loc.gov/authorities/subjects/sh93004736
http://id.loc.gov/authorities/subjects/sh85066329
title_short Development of an all-fiber broadband source using supercontinuum generation
title_full Development of an all-fiber broadband source using supercontinuum generation
title_fullStr Development of an all-fiber broadband source using supercontinuum generation
title_full_unstemmed Development of an all-fiber broadband source using supercontinuum generation
title_sort Development of an all-fiber broadband source using supercontinuum generation
dc.creator.fl_str_mv Martínez Suárez, Daniel Humberto
dc.contributor.advisor.none.fl_str_mv Zapata Caro, Juan Diego
Miyazato Saito, Lúcia Akemi
dc.contributor.author.none.fl_str_mv Martínez Suárez, Daniel Humberto
dc.contributor.researchgroup.none.fl_str_mv Grupo de Investigación en Telecomunicaciones Aplicadas (GITA)
dc.subject.lcsh.none.fl_str_mv Pulsed laser deposition
Infrared spectroscopy
Espectroscopia infrarroja
topic Pulsed laser deposition
Infrared spectroscopy
Espectroscopia infrarroja
Sistemas de comunicación de banda ancha
Broadband communication systems
Broadband source
Monolayer Graphene
Supercontinuum generation
http://id.loc.gov/authorities/subjects/sh93004736
http://id.loc.gov/authorities/subjects/sh85066329
dc.subject.lemb.none.fl_str_mv Sistemas de comunicación de banda ancha
Broadband communication systems
dc.subject.proposal.eng.fl_str_mv Broadband source
Monolayer Graphene
Supercontinuum generation
dc.subject.lcshuri.none.fl_str_mv http://id.loc.gov/authorities/subjects/sh93004736
http://id.loc.gov/authorities/subjects/sh85066329
description In this research work, the design, characterization and implementation of a broadband source (denoted as $S_H$) using the nonlinear phenomenon of supercontinuum (SC) generation were carried out. This source consists of a ring laser cavity for generating ultrashort pulses using an erbium-doped fiber laser (EDFL), a bidirectional erbium-doped fiber amplifier (EDFA), and a 40 cm highly nonlinear fiber (HNLF). Characterization of the EDFL provided insights into the behavior of the cavity's output variables during transition from continuous wave to mode-locking (ML) regimes, with the latter representing 0.6\% of all possible polarization states. This enabled the determination of the effective gain window for the pulsed regime associated with output polarization states ($PS$) with azimuth and ellipticity of $ \psi = (147.8 \pm 1.6)^{\circ}$ and $ \chi=(-11.1 \pm 3.1)^{\circ}$, respectively, indicating that the generated vector solitons would have similar Stokes parameters. Additionally, it was found that in these ML regimes, unpolarized light ($P_U$) increased by 1.5 dB compared to polarized light ($P_{Pol}$), with an mean polarization degree ($DP$) of $(96.1 \pm 0.9)\%$. Subsequently, these pulses were seeded into the EDFA+HNLF system for SC generation. The characterization of the spectral broadening ($\Lambda_{S}$) dynamics showed nonlinear behavior as a function of the EDFA pump power, resulting in a shortening of the output pulse width of $S_H$ to about $120 ~{\rm fs}$, with a marked tendency towards linear polarization. The results also indicated that $\Lambda_{S}$ is highly dependent on the input polarization state to the HNLF, implying that a larger $\Lambda_{S}$ corresponds to a higher amount of $P_U$ and lower $DP$. This fact was used to find SC states that optimized $DP$ and $P_{Pol}$ by identifying regions with a $P_{Pol}> P_{U}$ ratio, achieving SC with $ 560 ~{\rm nm}$ of $\Lambda_{S}$, $52.6\%$ of $DP$, $ 3 ~{\rm dB}$ of $P_{Pol}/ P_{U}$, and $PS$ with $\psi =(-45.0 \pm 0.9) ^{\circ}$ of azimuth and $\chi = (5.1 \pm 0.7) ^{\circ}$ of ellipticity. Finally, the $S_H$ source configured with a 53\% DP was used to determine the absorption bands of organic solvents such as acetone and isopropanol through infrared (IR) transmission spectroscopy in the spectral range of $1-5 ~{\rm \mu m}$. The $S_H$ source enabled the characterization of absorption bands of functional groups in the mid-IR region, finding high absorption intensity of the methyl group and combination bands between CH and CO stretching modes, unlike a commercial SC source with $24\% $ DP used for comparison. Additionally, using the measured overtones for CH, CC, and OH in the near-IR region, the dissociation energies of these bonds were estimated, showing the potential of the $S_H$ source in spectroscopic characterization. \\ The results of this research demonstrated that the designed $S_H$ source can optimize parameters such as $DP$, $P_{Pol>U}$, and $\Lambda_{S}$ according to the type of application for which the source is used.
publishDate 2025
dc.date.accessioned.none.fl_str_mv 2025-10-27T15:46:10Z
dc.date.issued.none.fl_str_mv 2025
dc.date.available.none.fl_str_mv 2027-08-01
dc.type.none.fl_str_mv Trabajo de grado - Doctorado
dc.type.coar.none.fl_str_mv http://purl.org/coar/resource_type/c_db06
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dc.identifier.citation.none.fl_str_mv [1] Martínez Suárez, D. H. “DEVELOPMENT OF AN ALL-FIBER BROADBAND SOURCE USING SUPERCONTINUUM GENERATION”, Tesis doctoral, Doctorado en Ingeniería Electrónica y de Computación, Universidad de Antioquia, Medellín, Antioquia, Colombia, 2025.
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/47961
identifier_str_mv [1] Martínez Suárez, D. H. “DEVELOPMENT OF AN ALL-FIBER BROADBAND SOURCE USING SUPERCONTINUUM GENERATION”, Tesis doctoral, Doctorado en Ingeniería Electrónica y de Computación, Universidad de Antioquia, Medellín, Antioquia, Colombia, 2025.
url https://hdl.handle.net/10495/47961
dc.language.iso.none.fl_str_mv eng
language eng
dc.rights.uri.none.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.format.extent.none.fl_str_mv 215 páginas
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dc.publisher.none.fl_str_mv Universidad de Antioquia
dc.publisher.program.none.fl_str_mv Doctorado en Ingeniería Electrónica y de Computación
dc.publisher.department.none.fl_str_mv Departamento de Ingeniería Electrónica
dc.publisher.place.none.fl_str_mv Medellín, Colombia
dc.publisher.faculty.none.fl_str_mv Facultad de Ingeniería
dc.publisher.branch.none.fl_str_mv Campus Medellín - Ciudad Universitaria
publisher.none.fl_str_mv Universidad de Antioquia
institution Universidad de Antioquia
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spelling Zapata Caro, Juan DiegoMiyazato Saito, Lúcia AkemiMartínez Suárez, Daniel HumbertoGrupo de Investigación en Telecomunicaciones Aplicadas (GITA)2025-10-27T15:46:10Z2027-08-012025[1] Martínez Suárez, D. H. “DEVELOPMENT OF AN ALL-FIBER BROADBAND SOURCE USING SUPERCONTINUUM GENERATION”, Tesis doctoral, Doctorado en Ingeniería Electrónica y de Computación, Universidad de Antioquia, Medellín, Antioquia, Colombia, 2025.https://hdl.handle.net/10495/47961In this research work, the design, characterization and implementation of a broadband source (denoted as $S_H$) using the nonlinear phenomenon of supercontinuum (SC) generation were carried out. This source consists of a ring laser cavity for generating ultrashort pulses using an erbium-doped fiber laser (EDFL), a bidirectional erbium-doped fiber amplifier (EDFA), and a 40 cm highly nonlinear fiber (HNLF). Characterization of the EDFL provided insights into the behavior of the cavity's output variables during transition from continuous wave to mode-locking (ML) regimes, with the latter representing 0.6\% of all possible polarization states. This enabled the determination of the effective gain window for the pulsed regime associated with output polarization states ($PS$) with azimuth and ellipticity of $ \psi = (147.8 \pm 1.6)^{\circ}$ and $ \chi=(-11.1 \pm 3.1)^{\circ}$, respectively, indicating that the generated vector solitons would have similar Stokes parameters. Additionally, it was found that in these ML regimes, unpolarized light ($P_U$) increased by 1.5 dB compared to polarized light ($P_{Pol}$), with an mean polarization degree ($DP$) of $(96.1 \pm 0.9)\%$. Subsequently, these pulses were seeded into the EDFA+HNLF system for SC generation. The characterization of the spectral broadening ($\Lambda_{S}$) dynamics showed nonlinear behavior as a function of the EDFA pump power, resulting in a shortening of the output pulse width of $S_H$ to about $120 ~{\rm fs}$, with a marked tendency towards linear polarization. The results also indicated that $\Lambda_{S}$ is highly dependent on the input polarization state to the HNLF, implying that a larger $\Lambda_{S}$ corresponds to a higher amount of $P_U$ and lower $DP$. This fact was used to find SC states that optimized $DP$ and $P_{Pol}$ by identifying regions with a $P_{Pol}> P_{U}$ ratio, achieving SC with $ 560 ~{\rm nm}$ of $\Lambda_{S}$, $52.6\%$ of $DP$, $ 3 ~{\rm dB}$ of $P_{Pol}/ P_{U}$, and $PS$ with $\psi =(-45.0 \pm 0.9) ^{\circ}$ of azimuth and $\chi = (5.1 \pm 0.7) ^{\circ}$ of ellipticity. Finally, the $S_H$ source configured with a 53\% DP was used to determine the absorption bands of organic solvents such as acetone and isopropanol through infrared (IR) transmission spectroscopy in the spectral range of $1-5 ~{\rm \mu m}$. The $S_H$ source enabled the characterization of absorption bands of functional groups in the mid-IR region, finding high absorption intensity of the methyl group and combination bands between CH and CO stretching modes, unlike a commercial SC source with $24\% $ DP used for comparison. Additionally, using the measured overtones for CH, CC, and OH in the near-IR region, the dissociation energies of these bonds were estimated, showing the potential of the $S_H$ source in spectroscopic characterization. \\ The results of this research demonstrated that the designed $S_H$ source can optimize parameters such as $DP$, $P_{Pol>U}$, and $\Lambda_{S}$ according to the type of application for which the source is used.Comunicaciones Ópticas y FotónicasCOL0044448Tesis de doctorado con distinción: MAGNA CUM LAUDE (Sobresaliente)DoctoradoDoctor en Ingeniería Electrónica y de Computación215 páginasapplication/pdfengUniversidad de AntioquiaDoctorado en Ingeniería Electrónica y de ComputaciónDepartamento de Ingeniería ElectrónicaMedellín, ColombiaFacultad de IngenieríaCampus Medellín - Ciudad Universitariahttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/embargoedAccessAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://purl.org/coar/access_right/c_f1cfPulsed laser depositionInfrared spectroscopyEspectroscopia infrarrojaSistemas de comunicación de banda anchaBroadband communication systemsBroadband sourceMonolayer GrapheneSupercontinuum generationhttp://id.loc.gov/authorities/subjects/sh93004736http://id.loc.gov/authorities/subjects/sh85066329Development of an all-fiber broadband source using supercontinuum generationTrabajo de grado - Doctoradohttp://purl.org/coar/resource_type/c_db06http://purl.org/redcol/resource_type/TDTexthttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/draftPublicationORIGINALMartinezDaniel_2025_Developmentall-fiberbroadbandMartinezDaniel_2025_Developmentall-fiberbroadbandTesis 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