Analysis and Characterization of Fiber Nonlinearities with Deterministic and Stochastic Signal Sources
In this dissertation, various analytical models to characterize fiber nonlinearities have been applied, and the ranges of validity of the models are determined by comparing with numerical results. First, the perturbation approach is used to solve the nonlinear Schrödinger equation, and its range of...
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ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-262652020-09-29T05:37:51Z Analysis and Characterization of Fiber Nonlinearities with Deterministic and Stochastic Signal Sources Lee, Jong-Hyung Electrical and Computer Engineering Jacobs, Ira Shaw, John Kenneth Brandt-Pearce, Maite Besieris, Ioannis M. Woerner, Brian D. WDM Fiber Optics Fiber Nonlinearity Optical Communication In this dissertation, various analytical models to characterize fiber nonlinearities have been applied, and the ranges of validity of the models are determined by comparing with numerical results. First, the perturbation approach is used to solve the nonlinear Schrödinger equation, and its range of validity is determined by comparing to the split-step Fourier method. In addition, it is shown mathematically that the perturbation approach is equivalent to the Volterra series approach. Secondly, root-mean-square (RMS) widths both in the time domain and in the frequency domain are modeled. It is shown that there exists an optimal input pulse width to minimize output pulse width based on the derived RMS models, and the functional form of the minimum output pulse width is derived. The response of a fiber to a sinusoidally modulated input which models an alternating bit sequence is studied to see its utility in measuring system performance in the presence of the fiber nonlinearities. In a single channel system, the sinusoidal response shows a strong correlation with eye-opening penalty in the normal dispersion region over a wide range of parameters, but over a more limited range in the anomalous dispersion region. The cross-phase modulation (CPM) penalty in a multi-channel system is also studied using the sinusoidally modulated input signal. The derived expression shows good agreement with numerical results in conventional fiber systems over a wide range of channel spacing, ∆<i>f</i>, and in dispersion-shifted fiber systems when ∆<i>f</i> > 100GHz. It is also shown that the effect of fiber nonlinearities may be characterized with stochastic input signals using noise-loading analysis. In a dense wavelength division multiplexed (DWDM) system where channels are spaced very closely, the broadened spectrum due to various nonlinear effects like SPM (self-phase modulation), CPM, and FWM (four-wave mixing) is in practice indistinguishable. In such a system, the noise-loading analysis could be useful in assessing the effects of broadened spectrum due to fiber nonlinearities on system performance. Finally, it is shown numerically how fiber nonlinearities can be utilized to improve system performance of a spectrum-sliced WDM system. The major limiting factors of utilizing fiber nonlinearities are also discussed. Ph. D. 2014-03-14T20:07:40Z 2014-03-14T20:07:40Z 2000-02-10 2000-02-21 2001-03-07 2000-03-07 Dissertation etd-02212000-15440013 http://hdl.handle.net/10919/26265 http://scholar.lib.vt.edu/theses/available/etd-02212000-15440013/ jhlee_etd.pdf In Copyright http://rightsstatements.org/vocab/InC/1.0/ application/pdf Virginia Tech |
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WDM Fiber Optics Fiber Nonlinearity Optical Communication |
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WDM Fiber Optics Fiber Nonlinearity Optical Communication Lee, Jong-Hyung Analysis and Characterization of Fiber Nonlinearities with Deterministic and Stochastic Signal Sources |
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In this dissertation, various analytical models to characterize fiber nonlinearities have been applied, and the ranges of validity of the models are determined by comparing with numerical results.
First, the perturbation approach is used to solve the nonlinear Schrödinger equation, and its range of validity is determined by comparing to the split-step Fourier method. In addition, it is shown mathematically that the perturbation approach is equivalent to the Volterra series approach. Secondly, root-mean-square (RMS) widths both in the time domain and in the frequency domain are modeled. It is shown that there exists an optimal input pulse width to minimize output pulse width based on the derived RMS models, and the functional form of the minimum output pulse width is derived. The response of a fiber to a sinusoidally modulated input which models an alternating bit sequence is studied to see its utility in measuring system performance in the presence of the fiber nonlinearities. In a single channel system, the sinusoidal response shows a strong correlation with eye-opening penalty in the normal dispersion region over a wide range of parameters, but over a more limited range in the anomalous dispersion region. The cross-phase modulation (CPM) penalty in a multi-channel system is also studied using the sinusoidally modulated input signal. The derived expression shows good agreement with numerical results in conventional fiber systems over a wide range of channel spacing, ∆<i>f</i>, and in dispersion-shifted fiber systems when ∆<i>f</i> > 100GHz. It is also shown that the effect of fiber nonlinearities may be characterized with stochastic input signals using noise-loading analysis. In a dense wavelength division multiplexed (DWDM) system where channels are spaced very closely, the broadened spectrum due to various nonlinear effects like SPM (self-phase modulation), CPM, and FWM (four-wave mixing) is in practice indistinguishable. In such a system, the noise-loading analysis could be useful in assessing the effects of broadened spectrum due to fiber nonlinearities on system performance. Finally, it is shown numerically how fiber nonlinearities can be utilized to improve system performance of a spectrum-sliced WDM system.
The major limiting factors of utilizing fiber nonlinearities are also discussed. === Ph. D. |
author2 |
Electrical and Computer Engineering |
author_facet |
Electrical and Computer Engineering Lee, Jong-Hyung |
author |
Lee, Jong-Hyung |
author_sort |
Lee, Jong-Hyung |
title |
Analysis and Characterization of Fiber Nonlinearities with Deterministic and Stochastic Signal Sources |
title_short |
Analysis and Characterization of Fiber Nonlinearities with Deterministic and Stochastic Signal Sources |
title_full |
Analysis and Characterization of Fiber Nonlinearities with Deterministic and Stochastic Signal Sources |
title_fullStr |
Analysis and Characterization of Fiber Nonlinearities with Deterministic and Stochastic Signal Sources |
title_full_unstemmed |
Analysis and Characterization of Fiber Nonlinearities with Deterministic and Stochastic Signal Sources |
title_sort |
analysis and characterization of fiber nonlinearities with deterministic and stochastic signal sources |
publisher |
Virginia Tech |
publishDate |
2014 |
url |
http://hdl.handle.net/10919/26265 http://scholar.lib.vt.edu/theses/available/etd-02212000-15440013/ |
work_keys_str_mv |
AT leejonghyung analysisandcharacterizationoffibernonlinearitieswithdeterministicandstochasticsignalsources |
_version_ |
1719344428084101120 |