By Le Nguyen Binh
ISBN-10: 1439806217
ISBN-13: 9781439806210
IntroductionHistorical PerspectivesDigital Modulation for complex Optical Transmission SystemsDemodulation TechniquesMATLAB® and Simulink® PlatformsOrganization of the Chapters during this BookOptical Waveguides: Geometrical and Lightwave-Guiding PropertiesIntroductionDielectric Slab Optical WaveguidesOptical Fiber: common PropertiesPower DistributionNonlinear Optical EffectsOptical Fiber production andRead more...
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Read or Download Optical Fiber Communications Systems : Theory and Practice with MATLAB® and Simulink® Models PDF
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31). 6 (a) Guided modes as seen in the transverse plane of a circular optical fiber, (b) “Ray” model of lightwave propagating in a single-mode fiber, (c) Ray model for multimode graded-index fiber, (d) graphical illustration of solution for eigenvalues (propagation constant—wave number of optical fibers), and (e) b–V characteristics of guided fibers. 2 Gaussian Approximation The main objective is to find a good approximation for the field ψ(r) and the propagation constant β. These can be found using the eigenvalue equation and the Bessel solutions as shown in the previous section.
These modes are usually approximated by a single LP mode. The properties of these modes are well known and Optical Fiber Communications Systems 30 well understood for step-index optical fibers, and analytical solutions are also readily available. Unfortunately, practical SM optical fibers never have perfect step-index profile due to the variation of the dopant diffusion and polarization. These non-step-index fibers can be approximated, under some special conditions, by an ESI profile technique.
Phasor principles are extensively applied in this chapter to derive the modulation of the carrier phase and amplitude. A fast method for the evaluation of the statistical properties of the distribution of the received eye diagrams is described enabling the measurement of the bit error rate (BER) from the received eye diagram rather than resorting to the Monte Carlo method, which would consume considerable amount of time for computing the errors. Chapters 7 and 8 give fundamental techniques of direct and coherent detection, respectively, for optical communication systems.