Book description
Light Propagation in Linear Optical Media describes light propagation in linear media by expanding on diffraction theories beyond what is available in classic optics books. In one volume, this book combines the treatment of light propagation through various media, interfaces, and apertures using scalar and vector diffraction theories.
After covering the fundamentals of light and physical optics, the authors discuss light traveling within an anisotropic crystal and present mathematical models for light propagation across planar boundaries between different media. They describe the propagation of Gaussian beams and discuss various diffraction models for the propagation of light. They also explore methods for spatially confining (trapping) cold atoms within localized light-intensity patterns.
This book can be used as a technical reference by professional scientists and engineers interested in light propagation and as a supplemental text for upper-level undergraduate or graduate courses in optics.
Table of contents
- Cover
- Half Title
- Title
- Copyright
- Dedication
- Contents
- Preface
- About the Authors
-
1 Electromagnetic Fields and Origin of Light
- 1.1 Introduction
- 1.2 Electric Fields
- 1.3 Magnetic Fields
- 1.4 Electromagnetism
- 1.5 Vector and Scalar Potentials
- 1.6 Hertz Vector Potential
- 1.7 Radiation from an Orbiting Charge
- 1.8 Poynting Vector
- 1.9 Radiation from a Classical Atom
-
1.10 A Quantum Mechanical Interlude
- 1.10.1 Blackbody Radiation
- 1.10.2 Planck’s Theory of Light Quanta
- 1.10.3 Photoelectric Effect
- 1.10.4 Einstein's Theory of Photons
- 1.10.5 Wave Particle Duality of Matter
- 1.10.6 The Particle-Function of Classical Mechanics
- 1.10.7 The Wavefunction of Quantum Mechanics
- 1.10.8 The Schrödinger Equation
- 1.10.9 Wavefunctions of Electrons in a Stable Atom
- 1.10.10 Atomic Radiation
- 1.11 Units and Dimensions
- Bibliography
- 2 Electromagnetic Waves in Linear Media
-
3 Light Propagation in Anisotropic Crystals
- 3.1 Introduction
- 3.2 Vectors Associated with Light Propagation
- 3.3 Anisotropic Media
- 3.4 Light Propagation in an Anisotropic Crystal
- 3.5 Characteristics of the Slow and Fast Waves in a Biaxial Crystal
- 3.6 Double Refraction and Optic Axes
-
3.7 Propagation along the Principal Axes and along the Principal Planes
- 3.7.1 Introduction
- 3.7.2 Propagation along the Principal Axes X, Y, and Z
- 3.7.3 Propagation along the Principal Plane YZ
- 3.7.4 k along YZ Plane, Case 1: nX < < nY < < nZ
- 3.7.5 k along YZ Plane, Case 2: nX > > nY > > nZ
- 3.7.6 Propagation along the Principal Plane ZX
- 3.7.7 k along ZX Plane, Case 1a: nX < < nY < < nZ, θ < Ω < Ω
- 3.7.8 k along ZX Plane, Case 1b: nX < < nY < < nZ, θ > Ω > Ω
- 3.7.9 k along ZX Plane, Case 2a: nX > > nY > > nZ, θ < Ω < Ω
- 3.7.10 k along ZX Plane, Case 2b: nX > > nY > > nZ, θ > Ω > Ω
- 3.7.11 Propagation along the Principal Plane XY
- 3.7.12 k along XY Plane, Case 1: nX < < nY < < nZ
- 3.7.13 k along XY Plane, Case 2: nX > > nY > > nZ
- 3.7.14 Summary of the Cases of Propagation along Principal Planes
- 3.8 Uniaxial Crystals
- 3.9 Propagation Equation in Presence of Walk-Off
- Bibliography
- 4 Wave Propagation across the Interface of Two Homogeneous Media
- 5 Light Propagation in a Dielectric Waveguide
- 6 Paraxial Propagation of Gaussian Beams
-
7 Scalar and Vector Diffraction Theories
- 7.1 Scalar Diffraction Theories
- 7.2 Comparisons of Scalar Diffraction Model Calculations
- 7.3 Verification of Snell’s Laws Using Diffraction
- 7.4 Vector Diffraction Theories
- 7.5 Hertz Vector Diffraction Theory (HVDT)
- 7.6 Kirchhoff Vector Diffraction Theory (KVDT)
- 7.7 Analytical On-Axis Expressions and Calculations
- 7.8 Power Transmission Function
- Bibliography
-
8 Calculations for Plane Waves Incident upon Various Apertures
- 8.1 Beam Distributions in the Aperture Plane, Circular Aperture
- 8.2 Beam Distributions beyond the Aperture Plane for a Circular Aperture
- 8.3 The Longitudinal Component of the Electric Field, Ez
- 8.4 Beam Distributions in the Aperture Plane, Elliptical Aperture
- 8.5 Beam Distributions beyond the Aperture Plane for an Elliptical Aperture
- 8.6 Beam Distributions in the Aperture Plane for a Square Aperture
- 8.7 Beam Distributions beyond the Aperture Plane for a Square Aperture
- Bibliography
-
9 Vector Diffraction across a Curved Interface
- 9.1 Introduction
- 9.2 Theoretical Setup, Case 1 vs. Case 2
- 9.3 Vector Diffraction Theory at a Spherical Surface, Case 1
- 9.4 Normalization and Simplification, Case 1
- 9.5 Calculation of Electromagnetic Fields and Poynting Vectors, Case 1
- 9.6 Summary, Case 1
- 9.7 Introduction, Case 2
- 9.8 Theoretical Setup, Case 2
- 9.9 Theory, Case 2
- 9.10 Normal Incidence Calculations, Case 2
- 9.11 Spherical Aberration, Case 2
- 9.12 Off-Axis Focusing and Coma, Case 2
- Bibliography
-
10 Diffraction of Gaussian Beams
- 10.1 Gaussian Hertz Vector Diffraction Theory, GHVDT
- 10.2 Validation of GHVDT
- 10.3 Calculations of Clipped Gaussian Beams Using GHVDT
- 10.4 Longitudinal Field Component in the Unperturbed Paraxial Approximation
- 10.5 Gaussian Beam Propagation Using Luneberg's Vector Diffraction Theory
- 10.6 Analytical Model for Clipped Gaussian Beams
- 10.7 Calculations and Measurements for Clipped Gaussian Beams
- Bibliography
- 11 Trapping Cold Atoms with Laser Light
- A Complex Phase Notation, Engineer's vs. Physicist’s
- Index
Product information
- Title: Light Propagation in Linear Optical Media
- Author(s):
- Release date: December 2017
- Publisher(s): CRC Press
- ISBN: 9781351831352
You might also like
book
Optical Fiber Sensors
This book provides a fundamental understanding of the design, operation, and practical applications of fiber optic …
book
Specialty Optical Fibers Handbook
This book is a comprehensive contributed volume that aims to describe and explain the design, fabrication, …
book
Physics of Continuous Media, 2nd Edition
Based on the author’s many years of lectures and tutorials at Novosibirsk State University and the …
book
Guided Wave Optical Components and Devices
The book provides a comprehensive, lucid, and clear introduction to the world of guided wave optical …