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Titlebook: Optical Waveguide Theory; Allan W. Snyder,John D. Love Book 1983 Allan W. Snyder and John D. Love 1983 Maxwell.diffraction.material.radiat

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Fundamental properties of modeste is reached, is most conveniently described by the bound modes of the waveguide. Bound modes are solutions of the source-free Maxwell equations, and, like the modes of vibration of a stretched membrane, are formed by resonance conditions in the waveguide cross-section. In the spatial steady state,
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Waveguides with exact solutionsor those few profiles which have exact solutions of Maxwell’s equations. Our primary objective is to derive analytical expressions for the modal vector fields, which contain all the polarization properties of the waveguide discussed in Section 11–16. We pay particular attention to fundamental modes,
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Weakly guiding waveguidesce-free equations or, equivalently, the homogeneous vector wave equations. However, we found in Chapter 12 that there are few known refractive-index profiles for which Maxwell’s equations lead to exact solutions for the modal fields. Of these the step-profile is probably the only one of practical in
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Gaussian approximation for circular fibersepends on solutions of the scalar wave equation, rather than on vector solutions of Maxwell’s equations. For circular fibers, with an arbitrary profile, the scalar wave equation must normally be solved by purely numerical methods. We discussed the few profiles that have analytical solutions in Chapt
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Pulse spreadingal pulse propagates, it spreads out, due to the dispersive properties of the fiber. Clearly if this spread becomes sufficiently large the pulse will overlap with adjacent pulses, leading to a decrease in information-carrying capacity because of the loss of resolution at the end of the fiber.
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