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1 PMARIZED LI6HT FUNDAMENTALS AND APPLICATIONS EBWABD COLLETT Measurement Concepts, Inc. Colts Neck, New Jersey Marcel Dekker, Inc. New York Basel Hong Kong

2 About the Series Preface A Historical Note iii v xiii PART I THE CLASSICAL OPTICAL FIELD Chapter 1 Introduction 1 2 Chapter 2 The Wave Equation in Classical Optics Introduction The Wave Equation Young's Interference Experiment Reflection and Transmission of a Wave at an Interface Chapter 3 The Polarization Ellipse Introduction The Instantaneous Optical Field and the Polarization Ellipse Specialized (Degenerate) Forms of the Polarization Ellipse The Elliptical Parameters of the Polarization Ellipse vii

3 viii Contents Chapter 4 The Stokes Polarization Parameters Introduction The Derivation of the Stokes Polarization Parameters The Stokes Vector The Classical Measurement of the Stokes Polarization Parameters The Stokes Parameters for Unpolarized and Partially Polarized Light Additional Properties of the Stokes Polarization Parameters The Stokes Parameters and Wolfs Coherency Matrix Chapter 5 The Mueller Matrices for Polarizing Components Introduction The Mueller Matrix of a Polarizer The Mueller Matrix of a Retarder The Mueller Matrix of a Rotator The Mueller Matrices for Rotated Polarizing Components The Generation of Elliptically Polarized Light Chapter 6 Methods for Measuring the Stokes Polarization Parameters Introduction The Classical Measurement Method The Quarter-Wave Retarder Polarizer Method The Measurement of the Stokes Parameters Using a Circular Polarizer The Null-Intensity Method Fourier Analysis Using a Rotating Quarter-Wave Retarder The Method of Kent and Lawson Simple Tests to Determine the State of Polarization of an Optical Beam Chapter 7 The Measurement of the Characteristics of Polarizing Elements Introduction The Measurement of the Attenuation Coefficients of a Polarizer (Diattenuator) The Measurement of the Phase Shift of a Retarder The Measurement of the Rotation Angle of a Rotator Chapter 8 Mueller Matrices for Reflection and Transmission Introduction Fresnel's Equations for Reflection and Transmission 141

4 ix 8.3 The Mueller Matrices for Reflection and Transmission at an Air-Dielectric Interface Special Forms for the Mueller Matrices for Reflection and Transmission Chapter 9 The Mueller Matrices for Dielectric Plates Introduction The Diagonal Mueller Matrix and the ABCD Polarization Matrix The Mueller Matrices for Single and Multiple Dielectric Plates Chapter 10 The Jones Matrix Calculus Introduction The Jones Vector The Jones Matrices for the Polarizer, Retarder, and Rotator Applications of the Jones Vector and the Jones Matrices The Jones Matrices for Homogeneous Elliptical Polarizers and Retarders Chapter 11 The Poincare Sphere Introduction The Theory of the Poincare Sphere Projection of the Complex Plane onto a Sphere Applications of the Poincare Sphere Chapter 12 The Interference Laws of Fresnel and Arago Introduction The Mathematical Statements for Unpolarized Light Young's Interference Experiment with Unpolarized Light The First Experiment The First and Second Interference Laws The Second Experiment The Third Interference Law The Third Experiment The Fourth Interference Law The Herschel-Stokes Experiment Summary of the Fresnel-Arago Interference Laws

5 PART II Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18 Chapter 19 Chapter 20 THE CLASSICAL AND QUANTUM THEORY OF RADIATION BY ACCELERATING CHARGES Introduction Maxwell's Equations for the Electromagnetic Field The Classical Radiation Field 15.1 The Field Components of the Radiation Field 15.2 The Relation between the Poynting Vector and the Stokes Parameters Radiation Emitted by Accelerating Charges 16.1 Stokes Vector for a Linearly Oscillating Charge 16.2 Stokes Vector for an Ensemble of Randomly Oriented Oscillating Charges 16.3 Stokes Vector for a Charge Rotating in a Circle 16.4 Stokes Vector for a Charge Moving in an Ellipse The Radiation of an Accelerating Charge in the Electromagnetic Field 17.1 The Motion of a Charge in an Electromagnetic Field 17.2 The Stokes Vectors for Radiation Emitted by Accelerating Charges The Classical Zeeman Effect 18.1 Historical Introduction 18.2 The Motion of a Bound Charge in a Constant Magnetic Field 18.3 The Stokes Vector for the Zeeman Effect Further Applications of the Classical Radiation Theory 19.1 Relativistic Radiation and the Stokes Vector for a Linear Oscillator 19.2 Relativistic Motion of a Charge Moving in a Circle Synchrotron Radiation 19.3 The Cerenkov Effect 19.4 Thomson and Rayleigh Scattering The Stokes Parameters and Mueller Matrices for Optical and Faraday Rotation 20.1 Introduction 20.2 Optical Rotation 20.3 Faraday Rotation in a Transparent Medium

6 xi 20.4 Faraday Rotation in a Plasma Chapter 21 The Stokes Parameters for Quantum Systems Introduction The Relation Between the Stokes Polarization Parameters and the Quantum Mechanical Density Matrix The Radiation Equations for Quantum Mechanical Systems Stokes Vectors for Quantum Mechanical Systems PART III APPLICATIONS Chapter 22 Introduction 431 Chapter 23 Crystal Optics Introduction The Propagation of Light through Anisotropie Media The Electro-optical Effect Modulation, Optical Shutters, and ß-Switching Polaroid and Polarizers and Their Performance Parameters Chapter 24 Optics of Metals Introduction Maxwell's Equations for Absorbing Media The Principal Angle of Incidence Measurement of the Refractive Index and Extinction Coefficient of Optically Absorbing Materials Measurement of the Refractive Index and Extinction Coefficient at an Incident Angle of Chapter 25 Ellipsometry Introduction The Fundamental Equation of Classical Ellipsometry The Classical Measurement of the Ellipsometric Parameters Psi (?/>) and Delta (A) The Solution of the Fundamental Equation of Ellipsometry Further Developments in Ellipsometry The Mueller Matrix Representation of ip and A

7 xii Contents Appendix Vector Representation of the Optical Field Application to Optical Activity Index 569

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