Beam And Fiber Optics

Preface

Acknowledgments

Notations and Definitions


1 Description of Optical Beams

1.1 Diffraction by Apertures

1.2 Beam Guidance by Lenses

1.3 Continuously Guiding Media

1.4 Fabrication of Optical Waveguides

1.5 Transverse and Axial Coupling

1.6 Optical Resonators

1.7 The Mechanical Theory of Light

1.8 Rays in Isotropic and Anisotropic Media

1.9 Experiments in Dynamics

1.10 Wave Propagation

References


2 Gaussian Beams

2.1 The Wave Equation

2.2 The Gaussian Solution

2.3 Beam Half-Width, Wavefront Radius of Curvature, and On-Axis Phase

2.4 Propagation in Free Space

2.5 Propagation through Uniform Lenslike Media

2.6 Refraction of a Gaussian Beam by a Lens

2.7 Ray Matrices

2.8 Transformation of a Gaussian Beam by an Optical System

2.9 Media with Nonuniform Loss or Gain

2.10 Coupling between Gaussian Beams

2.11 Bent Fibers

2.12 Integral Transformations

2.13 Two-Dimensional Optical Resonators

2.14 Resonators with Gaussian Apertures

2.15 Mode Discrimination in Resonators with Rotational Symmetry

2.16 Hermite-Gauss Modes in Two Dimensions

2.17 Hermite-Gauss Modes in Three Dimensions; The Helical Fiber

2.18 Modes in Two-Dimensional Resonators

2.19 Excitation of Resonators

2.20 Three-Dimensional Resonators; Anisotropic Resonators

2.21 The WKB Approximation of Gaussian Beams and Other Representations

2.22 Gaussian Beams in Quasi-Optics

References


3 Wave Equations

3.1 Hyperbolic, Parabolic, and Elliptic Equations

3.2 The Maxwell Equations

3.3 The Geometrical Optics Limit

3.4 The Helmholtz Equation

3.5 The Fock Equation

3.6 Axial Coupling

3.7 Transverse Coupling

3.8 Bianisotropic Media

3.9 Reciprocity and Orthogonality

3.10 Equality of the Group and Energy Velocity

3.11 Moving Media

3.12 The Surface of Wave Vectors

3.13 Nondispersive Lossless Media

3.14 The Surface of Ray Vectors

3.15 Transverse Form of the Maxwell Equations

3.16 The Coupled Mode Equations

3.17 Perturbation Formulas and Variational Principles

References


4 Geometrical Optics

4.1 Time-Harmonic Plane Waves in Homogeneous Stationary Media

4.2 Time-Harmonic Plane Waves in Inhomogeneous Stationary Media

4.3 Time-Invariant, z-Invariant Media

4.4 The Descartes-Snell Law of Refraction

4.5 The Point-Eikonal

4.6 The Phase Space


4.7 Time-Dependent Phenomena

4.8 Time of Flight in Graded-Index Fibers without Material Dispersion

4.9 Time of Flight in Circularly Symmetric Fibers without Material Dispersion

4.10 The Method of Strained Coordinates

4.11 Time of Flight in Circularly Symmetric Fibers with Inhomogeneous Dispersion

4.12 Nonuniform Losses

4.13 Incoherent Sources

4.14 Acceptance of Optical Fibers

4.15 Evolution of the Distribution in Spatial Phase Space

4.16 Pulse Broadening in Multimode Optical Fibers

4.17 Experiments with Multimode Fibers

4.18 General Results in Gaussian Optics

4.19 General Properties of the Ray Matrix

4.20 Evaluation of the Point-Eikonal in the Approximation of Gauss

4.21 Focusing and Deflection of Optical Beams by Cylindrical Mirrors

4.22 Transformation of the Polarization

4.23 Aberrated Degenerate Optical Resonators

4.24 The WKB Approximation in Graded-Index Fibers

References


5 Piecewise Homogeneous Media

5.1 Stratified Media

5.2 Total Reflection; The Goos-Hänchen Shift

5.3 The Dielectric Slab

5.4 Periodic Layers

5.5 Propagation along Contacting Dielectric Tubes

5.6 Tapered Slabs

5.7 The Dielectric Rod; The Scalar Approximation

5.8 The Dielectric Rod; High-Order Modes

5.9 The Dielectric Rod; Whispering-Gallery Modes

5.10 The Dielectric Rod; Exact Solutions

5.11 Coupling between Trapped Modes; Cross Talk

5.12 Reduction of Cross Talk between Dielectric Slabs

5.13 Coupling between Round Fibers

5.14 Coupling to Mode Sinks

5.15 Bending Loss of a Reactive Surface

5.16 Bending Loss of a Dielectric Slab

5.17 Bending Loss of the Round Fiber

5.18 Radiation Losses due to a Wall Perturbation

5.19 Optical Fibers for Communication

References

Author Index

Subject Index