Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Abbreviations
- 1 Introduction: The fiber optics revolution
- 2 Basic optics
- 3 Basic characteristics of the optical fiber
- 4 Ray paths and pulse dispersion in planar optical waveguides
- 5 Pulse dispersion in graded index optical fibers
- 6 Material dispersion
- 7 Modes in planar waveguides
- 8 Propagation characteristics of a step index fiber
- 9 Propagation characteristics of graded index fibers
- 10 Waveguide dispersion and design considerations
- 11 Sources for optical fiber communication
- 12 Detectors for optical fiber communication
- 13 Design considerations of a fiber optic communication system
- 14 Optical fiber amplifiers
- 15 Dispersion compensation and chirping phenomenon
- 16 Optical solitons
- 17 Single-mode fiber optic components
- 18 Single-mode optical fiber sensors
- 19 Measurement methods in optical fibers: I
- 20 Measurement methods in optical fibers: II
- 21 Periodic interactions in waveguides
- 22 The ray equation in cartesian coordinates and its solutions
- 23 Ray paths and their classification in optical fibers
- 24 Leaky modes
- Appendix A Solution of the scalar wave equation for an infinite square law medium
- Appendix B The far-field pattern
- Appendix C WKB analysis of multimode fibers
- Appendix D Gaussian envelope approximation
- Appendix E Coupled-mode equations
- Appendix F Derivation of coupled-mode equation for periodic coupling
- Appendix G Leakage loss in optical waveguides
- References
- Index
22 - The ray equation in cartesian coordinates and its solutions
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Abbreviations
- 1 Introduction: The fiber optics revolution
- 2 Basic optics
- 3 Basic characteristics of the optical fiber
- 4 Ray paths and pulse dispersion in planar optical waveguides
- 5 Pulse dispersion in graded index optical fibers
- 6 Material dispersion
- 7 Modes in planar waveguides
- 8 Propagation characteristics of a step index fiber
- 9 Propagation characteristics of graded index fibers
- 10 Waveguide dispersion and design considerations
- 11 Sources for optical fiber communication
- 12 Detectors for optical fiber communication
- 13 Design considerations of a fiber optic communication system
- 14 Optical fiber amplifiers
- 15 Dispersion compensation and chirping phenomenon
- 16 Optical solitons
- 17 Single-mode fiber optic components
- 18 Single-mode optical fiber sensors
- 19 Measurement methods in optical fibers: I
- 20 Measurement methods in optical fibers: II
- 21 Periodic interactions in waveguides
- 22 The ray equation in cartesian coordinates and its solutions
- 23 Ray paths and their classification in optical fibers
- 24 Leaky modes
- Appendix A Solution of the scalar wave equation for an infinite square law medium
- Appendix B The far-field pattern
- Appendix C WKB analysis of multimode fibers
- Appendix D Gaussian envelope approximation
- Appendix E Coupled-mode equations
- Appendix F Derivation of coupled-mode equation for periodic coupling
- Appendix G Leakage loss in optical waveguides
- References
- Index
Summary
- Type
- Chapter
- Information
- An Introduction to Fiber Optics , pp. 480 - 487Publisher: Cambridge University PressPrint publication year: 1998