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Simulation of Pulse Propagation in Fiber Based on Space-Time Factorization

Farhoudi, Ramtin | 2009

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40008 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Mehrany, Khashayar
  7. Abstract:
  8. In this thesis, equations governing the pulse propagation in fiber optics are investigated and methods for numerical solution of these equations are modified or extended to more general cases. First, the extraction of these equations from Maxwell's equations is explained and then the numerical methods are discussed. For extracting the equations, we assume the fiber medium as a longitudinally inhomogeneous medium, so the coupling between the forward and backward waves is taken into account. In addition, the effect of birefringence in fiber is included in the analysis and its modeling as a stochastic process is explained in detail. Two numerical methods based on operator splitting technique are proposed in this thesis. The first method is suitable for solving the envelop equations in small length scales where the effect of random birefringence can be neglected but the refractive index can vary along the propagation length. The second method is a time-domain method suitable for large length scales in which the random variations of the birefringence must be considered. This method is applied for analyzing a wavelength division multiplexing (WDM) system and its performance is compared with the conventional split-step Fourier method (SSFM).

  9. Keywords:
  10. Fiber Optics ; Nonlinear Schrodinger Equation ; Polarization Mode Dispersion (PMD) ; Time-Domain Split Step Method

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