## Theory of Dielectric Optical Waveguides 2eTheory of Dialectric Optical Waveguides, Second Edition focuses on the practical usage of optical waveguides. This book explores the rapid growth of integrated optics, which is devoted to the development of microscopic optical circuits based on thin film technology. Organized into nine chapters, this edition starts with an overview of the properties of dielectric slab waveguides. This book then examines the theory of directional couplers with and without diffraction gratings. Other chapters describe the numerical methods for solving guided mode as well as wave propagation problems. This text discusses as well the beam propagation method and the popular effective refractive index method. The final chapter deals with the significance of nonlinear phenomena. This book is a valuable resource for undergraduate and graduate students of physics and electrical engineering. Practicing engineers and scientists in the fields of integrated optics, optical communications, and fiber sensors will find this book extremely useful. |

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### Contents

1 | |

Chapter 2 Weakly Guiding Optical Fibers | 60 |

Chapter 3 Coupled Mode Theory | 97 |

Chapter 4 Applications of the Coupled Mode Theory | 134 |

Chapter 5 Coupled Power Theory | 177 |

Chapter 6 Theory of the Directional Coupler | 251 |

Chapter 7 GratingAssisted Directional Couplers | 280 |

Chapter 8 Approximate and Numerical Methods | 305 |

Chapter 9 Nonlinear Effects | 335 |

367 | |

373 | |

### Common terms and phrases

amplitude angle approximation assume asymmetric slab waveguides boundary conditions cladding coeﬂicients compound modes computed core boundary coupled mode coupled mode theory coupled power equations coupled wave equations coupling coefficient coupling coefﬁcients curve cutoff deﬁned deﬁnition derivation dielectric waveguides directional coupler dispersion eigenvalue equation eigenvectors equation system expansion ﬁeld expressions ﬁgure ﬁnd ﬁnite ﬁrst ﬁrst-order ﬂuctuations frequency function grating group velocity guided modes help of Eq inﬁnite integral leaky waves length mode coupling mode ﬁeld mode number multimode nonlinear normal modes obtain from Eq odd modes optical ﬁber orthogonal parameter perturbation theory phase plane wave polarization power carried power loss power spectrum propagation constant pulse radiation losses radiation modes Rayleigh scattering refractive index region satisﬁed Sect shown in Fig simpliﬁed sinusoidal soliton superposition ﬁelds symmetric slab TM modes total internal reﬂection transverse values vanishes vector wave equation waveguide core width