New Techniques in Digital Holography [Hardcover]

A state of the art presentation of important advances in the field of digital holography, detailing advances related to fundamentals of digital holography, in-line holography applied to fluid mechanics, digital color holography, digital holographic microscopy, infrared holography, special techniques in full field vibrometry and inverse problems in digital holography

INTRODUCTION xi
Passcal PICART

CHAPTER 1. BASIC FUNDAMENTALS OF DIGITAL HOLOGRAPHY 1
Pascal PICART, Michel GROSS and Pierre MARQUET

1.1. Digital holograms 2

1.1.1. Interferences between the object and reference waves 2

1.1.2. Role of the image sensor 5

1.1.3. Demodulation of digital holograms 9

1.2. Back-propagation to the object plane 16

1.2.1. Monochromatic spherical and plane waves 17

1.2.2. Propagation equation 18

1.2.3. Angular spectrum transfer function 19

1.2.4. Kirchhoff and Rayleigh–Sommerfeld formulas 21

1.2.5. Fresnel approximation and Fresnel diffraction integral 22

1.3. Numerical reconstruction of digital holograms 24

1.3.1. Discrete Fresnel transform 24

1.3.2. Reconstruction with convolution 30

1.4. Holographic setups 37

1.4.1. Fresnel holography 37

1.4.2. Fresnel holography with spatial spectrum reduction 38

1.4.3. Fourier holography 38

1.4.4. Lensless Fourier holography 39

1.4.5. Image-plane holography 40

1.4.6. Holographic microscopy 41

1.4.7. In-line Gabor holography 43

1.5. Digital holographic interferometry 45

1.5.1. ReconslÃ1