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Statistical Characterization of Kerr Nonlinearity in Optical Fiber and Its Corresponding Applications

Mohajerin Ariaei, Amir Hossein | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42454 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Salehi, Javad
  7. Abstract:
  8. Optical fibers with the high amount of nonlinearity, or length such as highly nonlinear fibers (HNLF) and long optical transmission lines could not be simply modeled as linear systems; and, in fact, the propagation of signal through these types of mediums is governed by the nonlinear Schrödinger equation (NLSE). From the statistical point of view, the interaction between signal, noise, and Kerr nonlinearity along the fiber leads to an output random process that is not well studied in the literatures and the exploration in this area may play an important role in solving different practical problems. In order to investigate the aforementioned output random process, this thesis obtains the most important statistical expressions of the process. To proceed further, the thesis utilizes the obtained analytical expressions and demonstrates some practical applicatios of both communication systems and signal processing aspects. First, we investigate some negative impacts of Kerr effect in optical phase modulation systems. We show that the performance of the system can dramatically decrease if one utilizes the conventional coherent receivers for the system. To alleviate the nonlinearity effects, we obtain the optimum receiver for the system beased on the analytical expressions of the process. For second application, we look at HNLF as a commonplace pre-optical signal processing device, and particularly, we explore its statistical behavior in SPE-OCDMA networks. We obtain an optimum HNLF for the receiver based on the aforementioned analytical results. At last but not least, we explore an open problem, namely, the capacity of nonlinear fiber-optics. We define the problem more precisely than bfore, and investigate some of its issues based on our knowledge of the output process
  9. Keywords:
  10. Self-Phase Modulation ; Spectrally Encoded-Code Division Multiple Access ; Kerr Nonlinearity Effect ; Highly Nonlinear Fiber ; Optical Phase Modulation System ; Nonlinear Fiber-Optics Channels Capacity

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