book

Contemporary Holography

Name: Contemporary Holography
Author: C. S. Narayanamurthy
ISBN: 9781000543605

by C. S. Narayanamurthy

December 2022

Intermediate to advanced

136 pages

3h 32m

English

CRC Press

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Cover Page
Half-Title Page
Series Page
Title Page
Copyright Page
Dedication Page
Contents
Preface
Acknowledgments
Contributors

List of Figures
Chapter 1 Conventional Holography
1.1 Introduction1.2 In-line Gabor holography1.2.1 Construction of hologram1.2.2 Reconstruction of hologram using normal incidence of reference beam1.3 Off-axis Holography1.3.1 Construction of off-axis holography1.3.2 Reconstruction of off-axis holography1.4 Polarization based holography1.4.1 Parallel polarization1.4.2 Perpendicular polarization1.5 Off-axis holography with 3D objects1.5.1 Reconstruction of virtual and real images1.6 Holographic magnifications1.6.1 Lateral Magnifications1.6.2 Longitudinal Magnifications1.7 Reflection holography1.7.1 Construction1.7.2 Reconstruction1.8 Practical demonstration of holography
Chapter 2 Conoscopic Holography
2.1 Introduction2.2 Construction of Conoscopic Holography2.2.1 Theoretical explanation2.2.2 Construction of Conoscopic hologram
Chapter 3 Computer-Generated Holography
3.1 Introduction3.2 Mathematical model3.3 Realization of computer-generated Holography3.3.1 Realization of Computer Generated Hologram using a Spatial Light Modulator
Chapter 4 Photorefractive dynamic holography
4.1 Introduction4.2 Principle of dynamic photorefractive holography4.2.1 Photorefractive Effect4.2.2 Theoretical Explanation4.2.3 Two wave mixing in Photorefractive crystals4.3 Experimental techniques of photorefractive dynamic holography4.3.1 Introduction4.3.2 Photorefractive dynamic holography using Bi12SiO20 (Bismuth Silicon Oxide)
Chapter 5 Digital holography
5.1 Introduction5.2 Principle of digital holography5.3 Recording on CCD and Sampling5.3.1 Reduction of imaging angle5.3.2 Conditions for reference beams5.4 Numerical Reconstruction Techniques5.4.1 Introduction5.4.2 Reconstruction using finite discrete Fresnel Transform5.4.2.1 Reconstruction of Real and Virtual image5.4.2.2 The D.C Term of Fresnel Transform5.4.2.3 Suppression of the D.C Term5.4.2.4 Suppression of twin images in digital holography5.4.3 Numerical reconstruction of digital hologram by convolution method5.4.3.1 Diffraction integral as a convolution5.4.3.2 Image Field size in convolution approach5.5 Phase shifting digital holography5.5.1 Introduction5.5.2 Dynamic phase shifting digital holography5.5.3 Quadrature dynamic phase shifting digital holography in two steps5.5.4 Geometric phase shifting color digital holography5.5.5 Reconstruction Procedure5.5.6 Geometric phase shifting digital holograpy using Michelson interferometer geometry5.5.7 Experimental Results and discussion
Chapter 6 Unconventional holography
6.1 Coherence holography6.1.1 Introduction6.1.2 Principle of coherence holography6.1.3 Experimental procedure6.1.4 Experimental demonstration of coherence holography
Appendix A Coherence of Optical waves
A.1 IntroductionA.2 Spatial CoherenceA.2.1 Theoretical explanationA.3 Temporal coherenceA.3.1 IntroductionA.3.2 Theoretical Explanation
Appendix B Rainbow holography
Appendix C Anisotropic self-diffraction
Appendix D Van Cittert–Zernike theorem
D.1 IntroductionD.2 Theoretical explanationD.3 Interpretation of Van Cittert–Zernike theorem
References
Index

Content preview from Contemporary Holography

DVan Cittert–Zernike theorem

D.1 INTRODUCTION

The Van Cittert–Zernike theorem describes the character of propagation of mutual intensity function from an incoherent source and thus becomes a very important tool in modern optical imaging. This theorem becomes very important for almost all optical incoherent sources for imaging. This theorem was first demonstrated by Van Cittert and Zernike[47]. This theorem also was used by Takeda et.al[46] to demonstrate coherence holography described in chapter 6 of this book.

D.2 THEORETICAL EXPLANATION

In case of quasimonochromatic light[47], the propagation of mutual intensity is given by,

$\begin{array}{l} V (P_{1}, P_{2}) = \int \int_{Σ} \int \int_{Σ} V (q_{1}, q_{2}) e^{[- i \frac{2 π}{λ} (r_{2} - r_{1})]} \frac{Γ (θ_{1})}{λ r_{1}} \frac{Γ (θ_{2})}{λ r_{2}} d A_{1} d A_{2} \end{array}$ (D.1)

The term $V (q_{1}, q_{2})$ represents initial state of coherence ...

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