Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas
Autor(a) principal: | |
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Data de Publicação: | 2003 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da INATEL |
Texto Completo: | http://tede.inatel.br:8080/tede/handle/tede/93 |
Resumo: | In this work some phenomena that occur during the propagation of pulses of light in optical fibers [1], [7], [13], [16], [18], [20], [21], [22], [24], [25], [59] e [60] are studied. The study is based on the Nonlinear Schr?dinger Equation (NLS), gotten in Chapter 2 from the equations of Maxwell, considering a nonlinear susceptibility. The adopted mathematical model for the susceptibility comes from the Kerr Effect, that implies a fiber dependence with the power of the optical field. From this model the refractive index has a linear part that depends on the frequency describes by the dispersive character of the medium, and the nonlinear part that is independent of the frequency. The preservation of the polarization of the incident light on the fiber was still assumed, making possible the use of a scalar model, that is, neglecting the vectorial character of the propagation equation. The NLS equation includes the phenomena of losses, dispersion and the nonlinear effects of Self-Phase Modulation (SPM) and Cross Phase Modulation (XPM) and we presentan analytical solution for some particular cases. In this work the theoretical interpretation of these solutions, in both time and frequency domain is discassed, as well as we check all results with the numerical solutions, gotten from all siABSTRACT. XVI mulations done in the VPI ? (Virtual Photonics Inc. ? Transmission ModulePackage) platform, based on the SSF method shown in Annex B. The emphasis of the work is concentrated on the study of the SPM and the XPM presented, respectively, Chapters 5 and 6. For a well understanding of these phenomena, several results found in the specialized literature, and cited in the list of references, has been reproduced. The effectiveness of these phenomena is reported to the characteristics of the incident light such as: temporal duration and sharp of the pulse, central frequency of the carrier, optical power, besides the characteristics of the optic fiber in the region operation: chromatic dispersion of 1st and 2nd orders, effective area, nonlinear index of refraction and losses. These parameters had been considered in accordance with the available commercially optical fibers data. |
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Caputo, Maria Regina Camposhttp://lattes.cnpq.br/4509954429358386Caputo, Maria Regina Camposhttp://lattes.cnpq.br/4509954429358386Silveira, Mauriciohttp://lattes.cnpq.br/1509854946762583Souza, Rui Fragassihttp://lattes.cnpq.br/5359107500377040http://lattes.cnpq.br/1937825229246310Paiva, Rodrigo Bahia2017-01-18T12:53:54Z2003-07-30Paiva, Rodrigo Bahia. Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas. 2003. [152]. disserta??o( Mestrado em Engenharia de Telecomunica??es) - Instituto Nacional de Telecomunica??es, [Santa Rita do Sapuca?] .http://tede.inatel.br:8080/tede/handle/tede/93In this work some phenomena that occur during the propagation of pulses of light in optical fibers [1], [7], [13], [16], [18], [20], [21], [22], [24], [25], [59] e [60] are studied. The study is based on the Nonlinear Schr?dinger Equation (NLS), gotten in Chapter 2 from the equations of Maxwell, considering a nonlinear susceptibility. The adopted mathematical model for the susceptibility comes from the Kerr Effect, that implies a fiber dependence with the power of the optical field. From this model the refractive index has a linear part that depends on the frequency describes by the dispersive character of the medium, and the nonlinear part that is independent of the frequency. The preservation of the polarization of the incident light on the fiber was still assumed, making possible the use of a scalar model, that is, neglecting the vectorial character of the propagation equation. The NLS equation includes the phenomena of losses, dispersion and the nonlinear effects of Self-Phase Modulation (SPM) and Cross Phase Modulation (XPM) and we presentan analytical solution for some particular cases. In this work the theoretical interpretation of these solutions, in both time and frequency domain is discassed, as well as we check all results with the numerical solutions, gotten from all siABSTRACT. XVI mulations done in the VPI ? (Virtual Photonics Inc. ? Transmission ModulePackage) platform, based on the SSF method shown in Annex B. The emphasis of the work is concentrated on the study of the SPM and the XPM presented, respectively, Chapters 5 and 6. For a well understanding of these phenomena, several results found in the specialized literature, and cited in the list of references, has been reproduced. The effectiveness of these phenomena is reported to the characteristics of the incident light such as: temporal duration and sharp of the pulse, central frequency of the carrier, optical power, besides the characteristics of the optic fiber in the region operation: chromatic dispersion of 1st and 2nd orders, effective area, nonlinear index of refraction and losses. These parameters had been considered in accordance with the available commercially optical fibers data.Neste trabalho s?o estudados alguns fen?menos que ocorrem durante a propaga??o de pulsos de luz em fibras ?pticas [1], [7], [13], [16], [18], [20], [21], [22], [24], [25], [59] e [60]. O estudo est? baseado na equa??o N?o-Linear de Schr?dinger (NLS), obtida no Cap?tulo 2 a partir das equa??es de Maxwell, considerando-se o meio com susceptibilidade n?o-linear. O modelo matem?tico adotado para a susceptibilidade da fibra adv?m do Efeito Kerr, o que implica na depend?ncia da mesma com a pot?ncia do campo ?ptico. Desse modelo, decorre que o ?ndice de refra??o tem uma parte linear dependente da freq??ncia, que descreve o car?ter dispersivo do meio, e uma parte n?o-linear que ? independente da freq??ncia. Considerou-se, ainda, a preserva??o da polariza??o da luz incidente na fibra, possibilitando usar um modelo escalar, isto ?, desprezar o car?ter vetorial da equa??o de propaga??o. A equa??o NLS inclui os fen?menos de perdas, dispers?o e os efeitos n?olineares de Automodula??o de Fase (SPM) e Modula??o de Fase Cruzada (XPM), sendo resolvida analiticamente para alguns casos particulares. Procurou-se, neste trabalho, dar a interpreta??o te?rica destas solu??es, no dom?nio do tempo e da freq??ncia, e a confirma??o destas solu??es obtidas numericamente a partir de simulaRESUMO. XIV ??es na plataforma VPI ? Virtual Photonics Inc. Transmission Module, baseada no m?todo num?rico SSF descrito sucintamente no Anexo B. A ?nfase do trabalho est? no estudo da SPM e da XPM, respectivamente, nos Cap?tulos 5 e 6. Para o entendimento destes fen?menos, foram reproduzidos diversos resultados encontrados na literatura especializada, citados na lista de refer?ncias. A efic?cia destes fen?menos est? relacionada ?s caracter?sticas da luz incidente, tais como: dura??o e forma temporal do pulso, freq??ncia central da portadora, pot?ncia ?ptica, al?m das caracter?sticas da fibra ?ptica na regi?o de opera??o: dispers?o crom?tica de 1? e 2? ordens, ?rea efetiva, ?ndice n?o-linear de refra??o e perdas. Estes par?metros foram considerados de acordo com as fibras ?pticas comercialmente dispon?veis.Submitted by Tede Dspace (tede@inatel.br) on 2017-01-18T12:53:54Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Disserta??o_Rodrigo_Bahia.pdf: 1276284 bytes, checksum: 05094b7ae2b6d24ff92957054a80d7bd (MD5)Made available in DSpace on 2017-01-18T12:53:54Z (GMT). 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dc.title.por.fl_str_mv |
Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas |
title |
Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas |
spellingShingle |
Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas Paiva, Rodrigo Bahia Fibra ?ptica; dispers?o; automodula??o de fase; modula??o de fase cruzada. Engenharia - Telecomunica??es |
title_short |
Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas |
title_full |
Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas |
title_fullStr |
Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas |
title_full_unstemmed |
Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas |
title_sort |
Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas |
author |
Paiva, Rodrigo Bahia |
author_facet |
Paiva, Rodrigo Bahia |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Caputo, Maria Regina Campos |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/4509954429358386 |
dc.contributor.referee1.fl_str_mv |
Caputo, Maria Regina Campos |
dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/4509954429358386 |
dc.contributor.referee2.fl_str_mv |
Silveira, Mauricio |
dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/1509854946762583 |
dc.contributor.referee3.fl_str_mv |
Souza, Rui Fragassi |
dc.contributor.referee3Lattes.fl_str_mv |
http://lattes.cnpq.br/5359107500377040 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/1937825229246310 |
dc.contributor.author.fl_str_mv |
Paiva, Rodrigo Bahia |
contributor_str_mv |
Caputo, Maria Regina Campos Caputo, Maria Regina Campos Silveira, Mauricio Souza, Rui Fragassi |
dc.subject.por.fl_str_mv |
Fibra ?ptica; dispers?o; automodula??o de fase; modula??o de fase cruzada. |
topic |
Fibra ?ptica; dispers?o; automodula??o de fase; modula??o de fase cruzada. Engenharia - Telecomunica??es |
dc.subject.cnpq.fl_str_mv |
Engenharia - Telecomunica??es |
description |
In this work some phenomena that occur during the propagation of pulses of light in optical fibers [1], [7], [13], [16], [18], [20], [21], [22], [24], [25], [59] e [60] are studied. The study is based on the Nonlinear Schr?dinger Equation (NLS), gotten in Chapter 2 from the equations of Maxwell, considering a nonlinear susceptibility. The adopted mathematical model for the susceptibility comes from the Kerr Effect, that implies a fiber dependence with the power of the optical field. From this model the refractive index has a linear part that depends on the frequency describes by the dispersive character of the medium, and the nonlinear part that is independent of the frequency. The preservation of the polarization of the incident light on the fiber was still assumed, making possible the use of a scalar model, that is, neglecting the vectorial character of the propagation equation. The NLS equation includes the phenomena of losses, dispersion and the nonlinear effects of Self-Phase Modulation (SPM) and Cross Phase Modulation (XPM) and we presentan analytical solution for some particular cases. In this work the theoretical interpretation of these solutions, in both time and frequency domain is discassed, as well as we check all results with the numerical solutions, gotten from all siABSTRACT. XVI mulations done in the VPI ? (Virtual Photonics Inc. ? Transmission ModulePackage) platform, based on the SSF method shown in Annex B. The emphasis of the work is concentrated on the study of the SPM and the XPM presented, respectively, Chapters 5 and 6. For a well understanding of these phenomena, several results found in the specialized literature, and cited in the list of references, has been reproduced. The effectiveness of these phenomena is reported to the characteristics of the incident light such as: temporal duration and sharp of the pulse, central frequency of the carrier, optical power, besides the characteristics of the optic fiber in the region operation: chromatic dispersion of 1st and 2nd orders, effective area, nonlinear index of refraction and losses. These parameters had been considered in accordance with the available commercially optical fibers data. |
publishDate |
2003 |
dc.date.issued.fl_str_mv |
2003-07-30 |
dc.date.accessioned.fl_str_mv |
2017-01-18T12:53:54Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
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masterThesis |
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publishedVersion |
dc.identifier.citation.fl_str_mv |
Paiva, Rodrigo Bahia. Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas. 2003. [152]. disserta??o( Mestrado em Engenharia de Telecomunica??es) - Instituto Nacional de Telecomunica??es, [Santa Rita do Sapuca?] . |
dc.identifier.uri.fl_str_mv |
http://tede.inatel.br:8080/tede/handle/tede/93 |
identifier_str_mv |
Paiva, Rodrigo Bahia. Estudo dos efeitos n?o lineares de automodula??o de fase e modula??o de fase cruzada em fibras ?pticas. 2003. [152]. disserta??o( Mestrado em Engenharia de Telecomunica??es) - Instituto Nacional de Telecomunica??es, [Santa Rita do Sapuca?] . |
url |
http://tede.inatel.br:8080/tede/handle/tede/93 |
dc.language.iso.fl_str_mv |
por |
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por |
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http://creativecommons.org/licenses/by-nd/4.0/ info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nd/4.0/ |
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openAccess |
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Instituto Nacional de Telecomunica??es |
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Mestrado em Engenharia de Telecomunica??es |
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INATEL |
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Brasil |
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Instituto Nacional de Telecomunica??es |
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Instituto Nacional de Telecomunica??es |
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