1 Gaussian Optics and Uncertainty Principle
1.1 Gaussian Optics
1.1.1 Ray Transfer Matrices
1.1.2 Ray Tracing through a Thin Lens
1.2 Resolution, Depth of Focus, and Depth of Field
1.2.1 Circular Aperture
1.2.2 Annular Aperture
1.3 Illustrative Examples
1.3.1 Three-Dimensional Imaging through a Single-Lens Example
1.3.2 Angle of Spread from a Slit Example
Problems
Bibliography
2 Linear Invariant Systems and Fourier Analysis
2.1 Signals and Systems
2.1.1 Signal Operations
2.1.2 Some Useful Signal Models
2.1.3 Linear and Time-Invariant Systems
2.1.4 Impulse Responses
2.1.5 Frequency Response Functions
2.2 Fourier Analysis
2.2.1 Fourier Series
2.2.2 Fourier Transform
2.3 Fourier Analysis in Two Dimensions
2.3.1 The Two-Dimensional Fourier Transform
2.3.2 Calculation Examples of Some 2-D Fourier Transforms
2.3.3 Properties of the Fourier Transform
2.3.4 2-D Convolution, Correlation, and Matched Filtering
Problems
Bibliography
3 Wave Propagation and Wave Optics
3.1 Maxwell's Equations
3.2 Vector Wave Equations
3.3 Traveling-Wave Solutions and the Poynting Vector
3.4 Fourier Transform-Based Scalar Diffraction Theory
3.4.1 Huygens' Principle
3.4.2 Fresnel Diffraction and Fraunhofer Diffraction
3.4.3 Phase Transforming Property of an Ideal Lens
3.5 Gaussian Beam Optics
3.5.1 q-Transformation and Bilinear Transformation
3.5.2 Examples on the Use of the Bilinear Transformation
Problems
Bibliography
4 Spatial Coherent and Incoherent Optical Systems
4.1 Temporal Coherence and Spatial Coherence
4.2 Spatial Coherent Image Processing
4.2.1 Pupil Function, Coherent Point Spread Function, and CoherentTransfer Function
4.2.2 Coherent Image Processing Examples
4.3 Spatial Incoherent Image Processing
4.3.1 Intensity Point Spread Function and Optical Transfer Function
4.3.2 Incoherent Image Processing Examples
