Optical Waveguides Analysis and Design

✍ Scribed by Amal Banerjee

• Publisher: Springer
• Year: 2022
• Tongue: English
• Leaves: 134
• Category: Library

✦ Synopsis

This book offers readers a comprehensive, detailed analysis and treatment of optical waveguides (fiber, slab), an essential component of ultra-high bandwidth long, medium and short-haul telecommunication. The author describes an analysis scheme for optical waveguides that combines both geometric|ray optics and Maxwell’s equations-based classical electrodynamics. This unique approach enables readers to develop an intuitive understanding of this topic, starting with macro properties, e.g., V parameter of an optical fiber, and progressively refining the analysis to individual modes of propagation through an optical waveguide. An exhaustive set of diagrams highlight the key features of an optical waveguide property, such as acceptance angle, meridional and skew rays in an optical fiber, or signal attenuation and dispersion in an optical waveguide. The author also provides a set of ready-to-use, ANSI C executables (for both Linux and Windows) that enable the reader to e.g, determine the allowed propagation modes (even, odd TE|TM) of a graded, step index optical fiber and a slab waveguide.

• Offers readers a single-source reference to the analysis and design of optical waveguides;
• Begins with macro-level analysis of the properties of optical waveguides and dives deeply into details in a step-by-step manner, enabling readers to develop an intuitive understanding;
• Includes C language executables, along with optical waveguide analysis and design examples to demonstrate their use in context.

✦ Table of Contents

Acknowledgment
Contents
Chapter 1: Introduction and Problem Statement
1.1 Problem Statement
1.2 Proposed Solution
References
Chapter 2: Transparent Dielectric Optical Waveguide Fundamentals
2.1 Electromagnetic Wave Propagation Modes Maxwell´s Equations TEM, TE, and TM
2.1.1 Inhomogeneous Medium
2.1.2 Nonisotropic Medium
2.1.3 Dispersive Medium
2.1.4 Nonlinear Medium
2.1.5 Electromagnetic Wave Polarization
2.1.6 Absorption and Attenuation of Electromagnetic Waves
2.1.7 Electromagnetic Pulse Propagation Through Dispersive Transparent Dielectric Medium
2.2 Wave Optics: Propagation of Light in Transparent Dielectric Media
2.2.1 Basics of Monochromatic Light Propagation
2.2.2 Monochromatic Light Propagation: Plane, Spherical, Paraboloidal, and Paraxial
2.2.3 Common Wave Optic Effects: Reflection, Refraction, Diffraction, and Interference
2.2.4 Light Wave Propagation Through Transparent Dielectric Slabs
2.2.5 Polychromatic Light
2.2.6 Relation Between Wave and Geometric/Ray Optics
2.2.7 Wave Optics Extension: Beam Optics
2.3 Dielectric Optical Waveguide Parameters: Numerical Aperture, Acceptance Angle, V Parameter
2.3.1 Numerical Aperture, Acceptance Angle, and V Parameter
2.4 Optical Fiber Types Graded, Step Index, Single, Multimode Cutoff Frequency
2.5 Optical Fiber Ray Propagation: Meridional and Skew
2.5.1 Graded Index Optical Fibers
2.6 Optical Fiber Modal Analysis, Transcendental Eigenvalue Equations, Weak Guidance
2.7 Weak Guidance, Cutoff Frequency, and Propagating Modes
2.8 Weak Guidance Gradient Index Profile, Quasi-Plane Waves, Propagation Constants, and Group Velocities for Graded Index Fiber
2.9 Slab Transparent Dielectric Waveguide: Eigenvalue Equation, Even and Odd TE and TM Modes-A
2.10 Slab Transparent Dielectric Waveguide: Eigenvalue Equation, Even and Odd TE and TM Modes-B
2.11 Dielectric Slab Waveguide Mode Chart, Mode Numbering, and Waveguide Design
2.12 Energy Loss Mechanisms in Optical Waveguides Absorption and Attenuation
2.12.1 Electromagnetic Wave Attenuation in Dielectric Waveguides
2.12.2 Electromagnetic Wave Energy Loss in Optical Waveguides Scattering
2.12.3 Interband Absorption in Dielectric Optical Waveguide Material
2.13 Optical Fiber Lasers: Countering Optical Waveguide Absorption and Attenuation
2.14 Dispersion or Pulse Broadening in Optical Fibers
2.14.1 Intermodal Dispersion or Group Delay
2.14.2 Material Dispersion
2.14.3 Waveguide Dispersion
2.14.4 Zero and Nonzero Dispersion-Shifted Fiber
2.15 Coupled Modes Theory and Integrated Optical Devices
2.15.1 Propagation in Unperturbed Medium and Added Perturbation
2.15.2 Slowly Varying Envelope Approximation
2.15.3 Resonant Coupling
2.15.4 Coupled Mode Theory Application: Optical Waveguide Coupling
2.15.5 The Directional Coupler
2.15.5.1 The Practical Optical Waveguide Directional Coupler
2.15.6 Grating Coupler
References
Chapter 3: Analysis and Design Examples of Optical Fibers, Optical Slab Waveguides
3.1 Simple-Mode Analysis of Step Index Multimode Optical Fiber
3.2 Analysis and Design of Step and Graded Index Optical Fiber at 1500 nm and 1300 nm
3.3 Allowed Propagating Mode Estimation in Slab Dielectric Waveguide Using Simple Method A (Sect. 2.9)
3.4 Allowed Propagating Mode Estimation in Slab Dielectric Waveguide Using Simple Method B (Sect. 2.10)
3.5 Designing Optical Slab Waveguides and Generating Its Mode Charts for TE Modes
3.6 Estimating Coupling Efficiency Loss from Optical Fiber Misalignment
3.7 Estimation of Coupling Ratio of Fused Optical Fiber Directional Coupler (Sect. 2.15.4)
3.8 Estimating Grating Coupler Parameters for Codirectional and Contra-directional Propagation (Sect. 2.15.5)
3.9 Estimating Total Energy Loss and Intermodal Dispersion in an Optical Fiber
References
Correction to: Optical Waveguides Analysis and Design
Correction to: Chapters 2 & 3 in: A. Banerjee, Optical Waveguides Analysis and Design, https://doi.org/10.1007/978-3-030-93631...
Appendix A: List of Ready-to-Use C Computer Language Executables
Appendix B: How to Download and Install MinGW on Windows Operating System Computers?
Index