This text is intended to provide an in-depth, self-contained, treatment of optical waveguide theory. We have attempted to emphasize the underlying physical processes, stressing conceptual aspects, and have developed the mathematical analysis to parallel the physical intuition. We also provide comprehensive supplementary sections both to augment any deficiencies in mathematical background and to provide a self-consistent and rigorous mathematical approach. To assist in. understanding, each chapter con- centrates principally on a single idea and is therefore comparatively short. Furthermore, over 150 problems with complete solutions are given to demonstrate applications of the theory. Accordingly, through simplicity of approach and numerous examples, this book is accessible to undergraduates. Many fundamental topics are presented here for the first time, but, more importantly, the material is brought together to give a unified treatment of basic ideas using the simplest approach possible. To achieve such a goal required a maturation of the subject, and thus the text was intentionally developed over a protracted period of the last 10 years.
I Ray Analysis of Multimode Optical Waveguides.- to Part I.- 1 Bound rays of planar waveguides.- 2 Bound rays of fibers.- 3 Pulse spreading.- 4 Fiber illumination and pulse shape.- 5 Nonuniform fibers.- 6 Material absorption.- 7 Leaky rays.- 8 Spatial transient.- 9 Bends.- 10 Diffraction phenomena.- II Electromagnetic Analysis of Optical Waveguides.- to Part II.- 11 Fundamental properties of modes.- 12 Waveguides with exact solutions.- 13 Weakly guiding waveguides.- 14 Circular fibers.- 15 Gaussian approximation for circular fibers.- 16 Noncircular waveguides.- 17 Gaussian approximation for noncircular fibers.- 18 Modes of perturbed fibers.- 19 Slowly varying waveguides.- 20 Illumination, tilts and offsets.- 21 Sources within fibers.- 22 Nonuniform fibers.- 23 Bends.- 24 Leaky modes.- 25 Radiation modes.- 26 Decomposition of the radiation field.- 27 Mode coupling.- 28 Local-mode coupling.- 29 Cross-talk.- III Supplementary Material.- to Part III.- 30 Maxwell's equations.- 31 Modal methods for Maxwell's equations.- 32 Weak-guidance approximation.- 33 Modal methods for the scalar wave equation.- 34 Green's function methods.- 35 Rays and local plane waves.- 36 Rays and asymptotic modal methods.- 37 Mathematical formulae.- Author index.
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