1 Introduction 1.1 Optics, Information, and Communication 1.2 The Book 2 Analysis of Two-Dimensional Signals and Systems 2.1 Fourier Analysis in Two Dimensions 2.2 Spatial Frequency and Space-Frequency Localization 2.3 Linear Systems 2.4 Two-Dimensional Sampling Theory 2.5 The Discrete Fourier Transform 2.
6 The Projection-Slice Theorem 2.7 Phase Retrieval from Fourier Magnitude 3 Foundations of Scalar Diffraction Theory 3.1 Historical Introduction 3.2 From a Vector to a Scalar Theory 3.3 Some Mathematical Preliminaries 3.4 The Kirchhoff Formulation of Diffraction by a Planar Screen 3.5 The Rayleigh-Sommerfeld Formulation of Diffraction 3.6 Kirchhoff and Rayleigh-Sommerfeld Theories Compared 3.
7 Further Discussion of the Huygens-Fresnel Principle 3.8 Generalization to Nonmonochromatic Waves 3.9 Diffraction at Boundaries 3.10 The Angular Spectrum of Plane Waves 4 Fresnel and Fraunhofer Diffraction 4.1 Background 4.2 The Fresnel Approximation 4.3 The Fraunhofer Approximation 4.4 Examples of Fraunhofer Diffraction Patterns 4.
5 Examples of Fresnel Diffraction Calculations 4.6 Beam Optics 5 Computational Diffraction and Propagation 5.1 Approaches to Computational Diffraction 5.2 Sampling a Space-Limited Quadratic-Phase Exponential 5.3 The Convolution Approach 5.4 The Fresnel Transform Approach 5.5 The Fresnel Transfer Function Approach 5.6 The Exact Transfer Function Approach 5.
7 Comparison of Computational Complexities 5.8 Extension to More Complex Apertures 5.9 Concluding Comments 6 Wave-Optics Analysis of Coherent Optical Systems 6.1 A Thin Lens as a Phase Transformation 6.2 Fourier Transforming Properties of Lenses 6.3 Image Formation: Monochromatic Illumination 6.4 Analysis of Complex Coherent Optical Systems 7 Frequency Analysis of Optical Imaging Systems 7.1 Generalized Treatment of Imaging Systems 7.
2 Frequency Response for Diffraction-Limited Coherent Imaging 7.3 Frequency Response for Diffraction-Limited Incoherent Imaging 7.4 Aberrations and Their Effects on Frequency Response 7.5 Comparison of Coherent and Incoherent Imaging 7.6 Confocal Microscopy 8 Point-Spread Function and Transfer Function Engineering 8.1 Cubic Phase Mask for Increased Depth of Field 8.2 Rotating Point-Spread Functions for Depth Resolution 8.3 Point-Spread Function Engineering for Exoplanet Discovery 8.
4 Resolution beyond the Classical Diffraction Limit 8.5 Light Field Photography 9 Wavefront Modulation 9.1 Wavefront Modulation with Photographic Film 9.2 Wavefront Modulation with Diffractive Optical Elements 9.3 Liquid Crystal Spatial Light Modulators 9.4 Deformable Mirror Spatial Light Modulators 9.5 Acousto-Optic Spatial Light Modulators 9.6 Other Methods of Wavefront Modulation 10 Analog Optical Information Processing 10.
1 Historical Background 10.2 Coherent Optical Information Processing Systems 10.3 The VanderLugt Filter 10.4 The Joint Transform Correlator 10.5 Application to Character Recognition 10.6 Image Restoration 10.7 Acousto-Optic Signal Processing Systems 10.8 Discrete Analog Optical Processors 11 Holography 11.
1 Historical Introduction 11.2 The Wavefront Reconstruction Problem 11.3 The Gabor Hologram 11.4 The Leith-Upatnieks Hologram 11.5 Image Locations and Magnification 11.6 Some Different Types of Holograms 11.7 Thick Holograms 11.8 Recording Materials 11.
9 Computer-Generated Holograms 11.10 Degradations of Holographic Images 11.11 Digital Holography 11.12 Holography with Spatially Incoherent Light 11.13 Applications of Holography 12 Fourier Optics in Optical Communications 12.1 Introduction 12.2 Fiber Bragg Gratings 12.3 Ultrashort Pulse Shaping and Processing 12.
4 Spectral Holography 12.5 Arrayed Waveguide Gratings Appendix A Delta Functions and Fourier Transform Theorems A.1 Delta Functions A.2 Derivation of Fourier Transform Theorems Appendix B Introduction to Paraxial Geometrical Optics B.1 The Domain of Geometrical Optics B.2 Refraction, Snell''s Law, and the Paraxial Approximation B.3 The Ray-Transfer Matrix B.4 Conjugate Planes, Focal Planes, and Principal Planes B.
5 Entrance and Exit Pupils Appendix C Polarization and Jones Matrices C.1 Definition of the Jones Matrix C.2 Examples of Simple Polarization Transformations C.3 Reflective Polarization Devices Appendix D The Grating Equation Bibliography Index.