By Ulf Schnars, Werner Jüptner
This e-book offers a self-contained therapy of the rules and significant purposes of electronic hologram recording and numerical reconstruction (Digital Holography). the 1st half offers with optical foundations and the idea of holography. the subsequent part describes the right way to list holograms without delay with an digital sensor (CCD) and describes a number of the reconstruction innovations. a unique bankruptcy is specified to electronic holographic interferometry with functions in deformation and form size and refractive index decision. functions in imaging and microscopy also are defined. the following half discusses detailed thoughts resembling electronic light-in-flight holography, holographic endoscopy, info encrypting and comparative holography. within the final bankruptcy comparable recommendations of speckle metrology are taken care of briefly.
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Extra resources for Digital Holography. Digital Hologram Recording, Numerical Reconstruction, and Related Techniques (U. Schnars, W.Jueptner, 2005)
6 Phase Unwrapping Even after having determined the interference phase by a method such as HI phase shifting a problem remains: The cosine function is periodic, i. e. 101) Interference phase maps calculated with the arctan function or other inverse trigonometric functions therefore contain 2S jumps at those positions, where an extreme value of 'M (either -S or S) is reached. 23 (a). The correction of these modulo 2S jumps in order to generate a continuously phase distribution is called demodulation, continuation or phase unwrapping.
1 (b). The diffraction of a light wave at an aperture (in this case a hologram) which is mounted perpendicular to the incoming beam is described by the FresnelKirchhoff integral, see Eq. 2) with Uc h(x,y) is the hologram function and U’ is the distance between a point in the hologram plane and a point in the reconstruction plane. 2. 4) are approximately 0. This is valid for all numerical reconstruction algorithms in this book. 3) The diffraction pattern is calculated at a distance d behind the CCD plane, which means it reconstructs the complex amplitude in the plane of the real image.
Al. . To understand the cause of this DC term hologram formation according Eq. 60) is considered. 40) 2 a R aO 2a R aO cosM O M R The first two terms are leading to the DC term in the reconstruction process. The third term is statistically varying between r2a R aO from pixel to pixel at the CCD. , N 1 . The reconstruction of I c creates an image free of the zero order. 12. The upper left figure is a photograph of the object. The reconstruction without DC term suppression is depicted in the upper right figure.