衍射计算与数字全息(上册)(英文版)

目录

Introduction 
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”Funct，ion 
1.1.7 The～Dirac 6 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 C：oordinates 
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 nansfer Functions and Eigenfunction 
1.4 Two—dimensional Sampling Theorem 
1.4.1 Sampling a Continuous Function 
1.4.2 Reconstruction of the Original Function 
1.4.3 Space—bandwidth Product References 
Chapter 2 Scalar Difrraction Theory 
2.1 The Representation of an Optical Wave by a Complex Function 
2.1.1 The Representation of a Monochromatic Wave 
2.1.2 The Expression of the Optical Field in Space 
2.1.3 Complex Amplitudes of Plane and Spherical Waves in a Space Plane 
2.2 Scalar Diffraction Theory 
2.2.1 Wave Equation 
2.2.2 Harmonic Plane Wave Solutions to the Wave Equation 
2.2.3 Angular Spectrum 
2.2.4 Kirchhoff and Rayleigh.Sommerfeld Formula 
2.2.5 Paraxial Approximation of Diffraction Problem——nesnel Diffraction Integral 
2.2.6 Fraunhofer Difiraction 
2.3 Examples of Fraunhofer Diffraction 
2.3.1 Fraunhofer Diffraction Pattern from a Rectangular Aperture 
2.3.2 Fraunhofer Diffraction of a Circular Aperture 
2.3.3 The Diffraction Image of Triangle Aperture on the Focal Plane 
2.3.4 Fraunhofer Diffraction Pattern from a Sinusoidal—amplitude Grating 
2.4 Fresnel Diffraction Integral Analytical and Semi—analytical Calculation 
2.4.1 Fresnel Diffraction from a Sinusoidal.amplitude Grating 
2.4.2 Fresnel Diffraction from a Rectangular Aperture 
2.4.3 Fresnel Diffraction from a Complex Shape Aperture 
2.4.4 The Diffraction Field of Refraction Prism Array by Using the Rectangular Aperture Diffraction Formula 
2.4.5 Fresnel Diffraction from a Triangle Aperture 
2.5 Collins’Formula 
2.5.1 Description of an Optical System by an ABCD Transfer Matrix 
2.5.2 ABCD Law and Equivalent Paraxia Lens System 
2.5.3 Proof of Collins’Formula 
2.6 Discussion of Optical Transform Properties of Single Lens System Based on Collins’Formula 
2.6.1 Object in Front of the Lens 
2.6.2 Object Behind the Lens 
References 
Chapter 3 Diffraction Numerical Calculation and Application Examples 
3.1 Relation between the Discrete and Analytical Fourier Transforms 
3.1.1 Sampling and Periodic Expansion of a Continuous Two—dimensional Function 
3.1.2 The Relation between the Discrete and Continuous Fourier Transforms 
3.2 Calculating the Fresnel Diffraction Integral by Fast Fourier Transform 
3.2.1 Calculating Diffraction by the S—FFT Method 
3.2.2 Numerical Calculation and Experimental Demonstration 
3.2.3 The D—FFT Method 
3.2.4 Experimental Demonstration of the D—FFT Method 
3.2.5 Fractional Fourier Transform of Fresnel Diffraction and Its Calculation 
3.2.6 Diffraction Calculation Based on the Virtual Light Field 
3.2.7 Synthetic Aperture Fresnel Diffraction and Its Calculation 
3.3 Calculation of the Classical Diffraction Formula Using FFT 
3.3.1 Kirchhoff and Rayleigh—Sommerfeld Formula in Convolution Form 
3.3.2 Unified Presentation of the C，lassical Diffraction Formula 
3.3.3 Study of the Sampling Conditions of the Classical Formula 
3.3.4 Discussion of Actual Sampling Conditions Based on the Principle of Energy Conservation 
3.3.5 Example of Calculations of the Classical Diffraction Formula 
3.3.6 Summary of Classical Diffraction Calculation 
3.3.7 Inverse Calculation of the Classical Diffraction Integral 
3.4 Numerical Calculation of Collins' Formula 
3.4.1 Collins' Formula and Its Inverse 
3.4.2 Calculating Collins' Formula by S—FFT 
3.4.3 Calculating the Inverse Collins Formula by S—FFT 
3.4.4 Calculating Collins' Formula by D—FFT 
3.4.5 Calculating the Inverse Collins Formula by D—FFT 
3.4.6 Numerical Calculation and Experimental Demonstration 
3.5 The Calculation of Space Curve Surface Diffraction Field 
3.5.1 Diffraction Calculation of Tilt Shiny Surface and Oblique Observation Plane 
3.5.2 Diffraction Field Calculation of Shiny Surface as the Space Curved Surface 
3.5.3 Diffraction Field Calculation of the Observation Plane as Spatial Curved Surface 
3.6 Application Example 
3.6.1 Design of Binary Optical Element 
3.6.2 Triangle Surface Source Collection Algorithm in the Application of CGH 
3.6.3 Application Example of Space Observation Surface Diffraction Field 
References 
Chapter 4 Fundamentals of Holography 
4.1 Basics of Holography 
4.1.1 Holography Overview 
4.1.2 Coaxial Hologram 
4.1.3 Off—axis Hologram 
4.1.4 Condition for the Separation of Diffraction Image of the Off—axis Hologram 
4.2 Partially Coherent Light and Its Use in Holography 
4.2.1 Analytic Signal Describing a Non—monochromatic Wave 
4.2.2 Recording a Hologram with Non—monochromatic Light 
4.2.3 Total Coherence Approximation Conditions 
4.2.4 Recording a Fresnel Hologram 
4.3 Fresnel Hologram and the Study of the Properties of the Reconstructed Image 
4.3.1 Recording the Hologram of a Point Source 
4.3.2 Reconstructing the Hologram of a Point Source 
4.3.3 Magnifications 
4.3.4 Resolution of the Reconstructed Image 
4.4 Different Types of Hologram 
4.4.1 The Fraunhofer Hologram 
4.4.2 The Fourier Hologram 
4.4.3 The Lens—less Fourier Hologram 
4.4.4 The Image Hologram 
4.4.5 The Phase Hologram 
4.5 Diffraction Efficiency of Plane Hologram 
4.5.1 Diffraction Efficiency of Amplitude Hologram 
4.5.2 Diffraction Efficiency of Phase Hologram 
References 
…… 
Chapter 5 Digital Holography and Object Wave—front Reconstruction Calculation 
Chapter 6 Reconstructing Wavefronts Propagated through an Optical System 
Chapter 7 Basic Principles and Common Techniques of Holographic Interferometry 
Chapter 8 Application of Digital Holography in Optical Testing 
Chapter 9 Study of Digital Holographic 3D Display and Animation Algorithm 
Appendix A Fundamental Knowledge of Computer Image 
Appendix B Computation Procedures and Application Examples 
Appendix C CD Contents in the Di f fraction Calculation and Digital Holography