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简介
目录
目录
Introduction
Chapter 6 Reconstructing Wavefronts Propagated through an Optical System
6.1 General Discussion of Wavefront Reconstruction
6.1.1 CCD Detection Information Research Based on the Abbe ImagingTheory
6.1.2 Impulse Response of the Process
6.2 Digital Holography with a Zoom
6.2.1 Principle of the Zoom
6.2.2 Study of the Zoom
6.2.3 Design of the Zoom
6.3 Reconstructing an Image by Collins' Formula
6.3.1 Reconstruction Algorithm
6.3.2 Adjustable—magnification Reconstruction after Propagation across anOptical System
6.4 Using the Classical Diffraction Formula to Reconstruct the Wavefront after Propagation across an Optical System
6.4.1 Use of the Rigorous Diffraction Formula
6.4.2 Reconstruction of the Object Wave in the Object and ImageSpaces
6.4.3 Digital Holographic Measurement of Matrix Elements in OpticalSystem
References
Chapter 7 Basic Principles and Common Techniques of Holographic Interferometry
7.1 Single Exposure Method or Real—time Hologram Interferometry
7.1.1 Basic Principle of Single Exposure Method
7.1.2 Example of Real Time Holographic Interferometry
7.1.3 The Application of Special Carrier Phase—shifting in Real Time Holographic Testing
7.2 Double Exposure Method
7.2.1 Basic Principles of Double Exposure Method
7.2.2 Examples of Object Displacement Measurement and One Dimensional Measurement of Object Displacement
7.2.3 Testing of Three Dimensional Displacement Field with Double Exposure Method
7.3 Time Average Method
7.3.1 Basic Principle of Time Average Method
7.3.2 Example of Time Average Measurement
References
Chapter 8 Application of Digital Holography in Optical Testing
8.1 Creating Digital Holographic Interferogram and Its Phase Unwrapping
8.1.1 Creating Digital Holographic Interferogram and Its Representation
8.1.2 Phase Unwrapping of Interferogram
8.2 Common Techniques in Digital Holographic Testing
8.2.1 Digital Holographic Testing for Three Dimensional Profilometry
8.2.2 Digital Holographic Testing of Micro Deformation of Object
8.2.3 Time Average Method Digital Holography Vibration Analysis
8.2.4 Three—dimensional Particle Field Detection
8.3 Digital Holography Testing with Physical Optical Transformation System
8.3.1 General Discussion of Digital Holography System on Image Plane
8.3.2 Micro Digital Holography Testing of Tiny Object
8.3.3 Digital Holography Testing Example of Large—size Object
8.4 The Special Technology of Digital Holographic Interferometry
8.4.1 Digital Holographic Detecting Technology of Transient Process ofFemtosecond Laser
8.4.2 Common Path Coaxial Macro—digital Holography Detection
8,4.3 Digital Holography Microscopy of Low Coherent LED Illuminating
8.5 Digital Holography CT
8.5.1 Radon Transformation Introduction
8.5.2 Digital Holography CT Principle
8.5.3 The Detection Simulation of Digital Holographic VT
8.5.4 Application Example of Microscopy Digital Holography CT Detection
8.6 Multifunctional Digital Holography Detecting System References
Chapter 9 Study of Digital Holographic 3D Display and Animation Algorithm
9.1 The Research Status of Traditional Holography and Digital 3D Display
9.1.1 The Development Situation of Traditional Holographic 3D Display Technology
9.1.2 The Research Progress of Digital Holographic 3D Display Technology
9.1.3 Advantages and Challenges of Digital Holographic 3D Display Technology
9.2 Digital Micromirror Device and Its Application in Digital Holographic3D Display
9.2.1 Working Principle of DMD
9.2.2 DMD Display of Hologram
9.2.3 Transient Impulse Response of DMD 3D Display
9.2.4 Discussion on Point Source Defocused Image of DMD 3D Display System
9.2.5 Approximate Computation and Experimental Demonstration of DMD Reconstructed Image
9.3 Principle of LCOS and Its Application in Digital Holographic 3D Display
9.3.1 Brief Introduction on the Structure and Working Principle of LCOS
9.3.2 Study of Holographic Image Display System Based on LCOS
9.3.3 Sketch for Technology of Expanding 3D Reconstructed Image View Field
9.3.4 Hologram Encoding and 3D Display Containing Accurate Information of Amplitude and Phase
9.3.5 Holographic 3D Imaging Device Study Based on LCOS and SelectiveFiltering System
9.4 Diffraction Field Computation of 3D Object in the Digital Holographic Display Study
9.4.1 C—LUT Rapid Computation Based on Point Source Method
9.4.2 "Light Source Transformation Method" of Transforming Light Source of Curved Surface into Planar Light Source
9.4.3 Modification of LUT Algorithm and Surface Source Method Based on Field Depth of Holographic 3D Image
9.5 Study of Holographic 3D Animation Algorithm
9.5.1 Figure Description of 3D Object Surface and Basic Modelling Technology
9.5.2 Simulation Study of Holographic 3D Animation Based on Annular SLM Array
9.6 Conclusion
References
Appendix A Fundamental Knowledge of Computer Image
A1 Tricolor Principle and the Digital Representation of the Image
A2 Two—dimensional Intensity Distribution of Digital Image
Appendix B Computation Procedures and Application Examples
B1 Analytical Calculation of a Rectangular Aperture Fraunhofer Diffraction
B2 Analytical Calculation of a Circular Aperture Fraunhofer Diffraction
B3 Analytical Calculation of a Triangle Aperture Fraunhofer Diffractionand IFFT Reconstruction Image
B4 Analytical Calculation of a Rectangular Aperture Fresnel Diffraction
B5 S—FFT Calculation of Fresnel Diffraction
B6 D—FFT Calculation of Classic Diffraction Formulae
B7 S—FFT Calculation of Collins Formula
B8 S—FFT Calculation of Collins Formula
B9 Fresnel Diffraction and Its Inverse Operation of the Tilted Triangular Aperture
B10 Fresnel Diffraction and Its Inverseoperation of the Inclined Surface Light Source
B11 Coaxial Digital Hologram and the Wave Front Reconstruction by the Four—steps Phase Shift Method
B12 Off—axis Digital Hologram Generated by Monochromatic Illumination
B131—FFT Reconstruction Digital Hologram
B14 DDB FT Reconstruction Digital Hologram
B15 VDH4 FFT Reconstruction Digital Hologram
B16 FIMG4 FFT Reconstruction Digital Hologram
B17 Read, Decomposition and Storage for the True Color Image Files
B18 True—color Off—axis Digital Hologram Generated by the Tricolor Illumination
B19 True Color Digital Hologram Reconstruction by FIMG4 FFT
B20 Double—exposure Digital Hologram for the Micro Deformable Object
B21 Reconstruction and Interferometry Images Based on the Double—exposure Digital Holography
B22 Kinoform Generated by Loading on the Spatial Light Modulator LCOS
B233D Hologram Encoding and Simulated Imaging Calculation Without Distortion of Amplitude and Phase
Appendix C CD Contents in the Di f fraction, Calculation and DigitalH ologr aphy
Diffraction Calculation and Digital Holography I
Chapter 1 Mathematical Prerequisites
1.1 Frequently Used Special Functions
1.1.1 The "Rectangle" Function
1.1.2 The "Sinc" Function
1.1.3 The "Step" function
1.1.4 The "Sign" Function
1.1.5 The "Triangle" Function
1.1.6 The "Disk"Function
1.1.7 The Dirac 8 Function
1.1.8 The "Comb" Function
1.2 Two—dimensional Fourier Transform
1.2.1 Definition and Existence Conditions
1.2.2 Theorems Related to the Fourier Transform
1.2.3 Fourier Transforms in Polar Coordinates
1.3 Linear Systems
1.3.1 Definition
1.3.2 Impulse Response and Superposition Integrals
1.3.3 Definition of a Two—dimensional Linear Shift—invariant System
1.3.4 Transfer Functions and Eigenfunction
1.4 Two—dimensional Sampling Theorem
1.4.1 Sampling a Continuous Function
1.4.2 Reconstruction of the Original Function
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