Holography and Coherent Optics

1 Introduction.-
1.1 Principle of Holography. Interference of Light.-
1.2 Three-Dimensional Nature of an Image. Parallax.-
1.3 Plane Hologram.-
1.4 Diffraction of Light in a Plane Hologram.-
1.5 Coherence of Light.-
1.6 Light Sources for Holography.-
1.7 History of Holography.- 2 Optical Signal and Its Transformations.-
2.1 Complex Signal in Optics.-
2.2 Fourier Transformation.-
2.3 Properties of Fourier Transformation.-
2.4 Typical Fourier Transformations and Standard Notation for Commonly Occurring Functions.-
2.5 Optical Systems Performing Fourier Transformation.-
2.6 Convolution and Its Properties.-
2.7 Correlation and Its Properties.-
2.8 Convolution and Correlation in a Plane.-
2.9 Optical System for Convolution and Cross-Correlation Operations.-
2.10 Scalar Products of Functions.-
2.11 Generalized Functions or Distributions.-
2.12 Examples of Generalized Functions.-
2.13 Fourier Transformation of Generalized Functions.-
2.14 Convolution of Generalized Functions.-
2.15 Fourier Transformation and Convolution of Functions in Multidimensional Spaces.-
2.16 Delta Functions in a Plane.-
2.17 Fourier Transformation of Radial Functions Defined in a Plane.-
2.18 Hankel Transformation.-
2.19 Truncated Fourier Transformation.-
2.20 Hilbert Transformation.-
2.21 Linear Filter.-
2.22 Linear Two-Dimensional Filter.-
2.23 Dispersion Relationships and Causality Principle.-
2.24 Relationship Between Fourier, Hilbert, and Hankel Transformations.-
2.25 Modulation of a Signal.-
2.26 Fresnel Transformation.-
2.27 Relationship Between Fresnel and Fourier Transformations.-
2.28 Fresnel Sandwich.-
2.29 Bickel-Bowman System.-
2.30 Auxiliary Parameter in Fresnel Transformation.-
2.31 Dirac and Sampling Transformations.-
2.32 Comparison of Integral Transformations Used in Optics.- 3 Random Signal.-
3.1 Random Function and Random Signal.-
3.2 Stationary Random Signal.-
3.3 Correlation Functions.-
3.4 Fourier Transformation of Cross-Correlation Functions.-
3.5 Average Power.-
3.6 Energy Spectrum and Its Physical Meaning.-
3.7 Random Noise and Interference.-
3.8 Correlative Methods for Suppression of Noise and Interference.-
3.9 Detection of a Signal of Known Waveform.-
3.10 Indeterminacy Function.-
3.11 Reconstruction of a Function From Its Autocorrelation.- 4 Coherence of Light.-
4.1 Mutual Coherence Function.-
4.2 Properties of an Analytic Signal and of Mutual Coherence Function.-
4.3 Emission of Light by Atoms.-
4.4 Temporal and Spatial Coherence.-
4.5 Temporal Coherence.-
4.6 Interference of Waves of Different Frequencies.-
4.7 Generalization of Mutual Coherence Function to Interference of Light of Different Frequencies.-
4.8 Transverse and Longitudinal Spatial Coherence.-
4.9 Incoherent Extended Source Generating Spatially Coherent Light.-
4.10 Relationship Between Coherence and Diffraction of Light.-
4.11 Coherence Determination and Measurement Methods.-
4.12 Relationship Between Coherence and Emission Spectrum.-
4.13 Wave Equation of Mutual Coherence Function.-
4.14 Integral Representation of Mutual Coherence Function.-
4.15 Measurement of Coherence of a Laser Beam.-
4.16 Coherence and Diffusing Screens.- 5 Information Structure of Optical Signals.-
5.1 Introduction.-
5.2 Indeterminacy Principle.-
5.3 Classical Representation of a Signal in Information Theory.-
5.4 Elementary Signal.-
5.5 Determinate Function With a Bounded Spectrum.-
5.6 Properties of Sampling Function.-
5.7 Determinate Function of Finite Duration.-
5.8 One-Dimensional Functions With Finite Spectra.-
5.9 Two-Dimensional Functions With Finite Spectra.-
5.10 Sampling Theorem in Optics.-
5.11 Illumination Matrix.-
5.12 Intensity Matrix.-
5.13 Image and Detector Matrices.-
5.14 Temporal Sampling Points.- 6 Holography.-
6.1 Introduction.-
6.2 Basic Holographic System.-
6.3 Development of Photographic Emulsions.-
6.4 Relationship Between an Object and a Light Wave Reaching Entrance Pupil.-
6.5 Ho