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This book describes the electromagnetic theory for the propagating modes of dielectric guides with the objective of understanding the applications of these guides to a telecommunication system. The dispersionless "solitonic" solution is introduced to inform the reader on this new optical pulse shape which may soon ensure transoceanic communications. The study of the minimization of the waveguide dispersion leads us, by means of several calculated frames, to the weakly-guiding condition. This essential condition for a large bandwidth fibre leads us to the introduction of the practical LP modes. In order to initiate the reader into integrated optics components, the electromagnetic solution for two coupled planar waveguides is treated in an appendix. Another appendix allows the reader to go through a quick initiation of the geometrical optics theory (essential for the study of graded-index fibre), being the iconal equation and the ray equation starting from Maxwell equation under the short wavelength approximation.
| Preface | |
| Acknowledgements | |
| Optical Communications | p. 1 |
| Content description | p. 3 |
| Usage of this volume | p. 8 |
| Review of Electromagnetic Theory | p. 9 |
| Maxwell's equations | p. 10 |
| Wave equations (2[superscript nd] term dependant of [actual symbol not reproducible]) | p. 12 |
| Electromag. plane wave propagation (TEM) | p. 14 |
| Reflection and refraction at an interface | p. 16 |
| Total internal reflection; evanescent field | p. 27 |
| Goss-Hanchen shift | p. 32 |
| Dispersion | p. 35 |
| Guided Modes for Plane Dielectric Structures | p. 60 |
| Symmetrical three-slab dielectric: global analysis | p. 61 |
| The Step-Index Fiber | p. 100 |
| Basic equations and physical constraints | p. 100 |
| Single-mode fiber | p. 114 |
| Linearly polarized modes (LP) | p. 122 |
| The Graded-Index Fiber | p. 144 |
| Linearly polarized modes (LP[subscript lp]) | p. 145 |
| Generalized parabolic profile fiber | p. 147 |
| Laguerre-Gauss LP modes | p. 157 |
| LP modes and geometrical optics | p. 161 |
| Parabolic index profile fiber | p. 169 |
| The geometrical optics model | p. 171 |
| Optimized profile fiber | p. 172 |
| Bandwidth and optimum fiber | p. 177 |
| A. Derivation of a Pulse's Propagation Equation | p. 183 |
| Linear dispersive medium | p. 183 |
| Non-linear dispersive medium | p. 185 |
| B. Coupled Plane Guides: Even TE Modes | p. 186 |
| Exact solution for coupled symmetrical plane guides | p. 186 |
| Weakly-coupling solution | p. 194 |
| C. Mathematical Functions | p. 197 |
| Bessel functions: review | p. 197 |
| Asymptotic behaviour | p. 201 |
| Recurrence relationship | p. 202 |
| Modified Bessel functions | p. 202 |
| D. Geometrical Optics Approximation | p. 207 |
| Equation of the iconal | p. 207 |
| The Poynting vector in geometrical optics | p. 209 |
| Light ray equation | p. 210 |
| Propagation in a medium of index n(r) | p. 213 |
| E. Optimum Profile | p. 219 |
| The SELFOC profile (SECH)([alpha]r)) | p. 219 |
| Optimum profile and helicoidal rays | p. 225 |
| Bibliography | p. 226 |
| Index | p. 227 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
ISBN: 9789810214913
ISBN-10: 981021491X
Audience:
Professional
Format:
Hardcover
Language:
English
Published: 30th December 1993
Dimensions (cm): 22.0 x 16.2
x 1.8
Weight (kg): 0.517
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