Mathematical Optics

Table of contents

1. Cover
2. Half Title
3. Title Page
4. Copyright Page
5. Table of Contents
6. Preface
7. Acknowledgments
8. Editors
9. Contributors
10. PART I Special Problems in Ray Optics
    1. Chapter 1 Orbital Angular Momentum: A Ray Optical Interpretation
    2. Chapter 2 Wigner Distribution Moments for Beam Characterization
    3. Chapter 3 Dynamic Programming Applications in Optics
11. PART II Mathematical Formalism in Wave Optics
    1. Chapter 4 Basis Expansions for Monochromatic Field Propagation in Free Space
    2. Chapter 5 Solutions of Paraxial Equations and Families of Gaussian Beams
    3. Chapter 6 The Decomposition Method to Solve Differential Equations: Optical Applications
12. PART III Plasmonics
    1. Chapter 7 An Introduction to Mathematics of Transformational Plasmonics
    2. Chapter 8 Plasmonics: Computational Approach
13. PART IV Applications of Group Theory in Optics
    1. Chapter 9 Lorentz Group in Ray and Polarization Optics
    2. Chapter 10 Paraxial Wave Equation: Lie-Algebra-Based Approach
    3. Chapter 11 Dihedral Polynomials
    4. Chapter 12 Lie Algebra and Liouville-Space Methods in Quantum Optics
14. PART V Quantum Optics Methods
    1. Chapter 13 From Classical to Quantum Light and Vice Versa: Quantum Phase-Space Methods
    2. Chapter 14 Coherence Functions in Classical and Quantum Optics
    3. Chapter 15 Quantum Memory Channels in Quantum Optics
15. PART VI Computational Optics/Image Processing
    1. Chapter 16 An Introduction to Super-Resolution Imaging
    2. Chapter 17 The Differential Structure of Images
16. Index