By Pascal Picart
A state-of-the-art presentation of vital advances within the box of electronic holography, detailing advances with regards to basics of electronic holography, in-line holography utilized to fluid mechanics, electronic colour holography, electronic holographic microscopy, infrared holography, designated options in complete box vibrometry and inverse difficulties in electronic holography
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Extra resources for New Techniques in Digital Holography
Since the transfer function is a band-pass filter in the Fourier domain, we may restrict it to the contour of the object and limit the convolution kernel to the effective object spectrum. Thus, if the object is included in a circular zone (ΔAx = ΔAy = ΔA), the impulse response can be chosen to be: ⎧h ( x, y , d r ) × exp ⎣⎡+2iπ ( u0 x + v0 y ) ⎦⎤ ⎪⎪ . 58] Similarly, the impulse response can also be defined for a rectangular object zone [PIC 09]. This restriction of the spatial bandwidth leads to a convolution kernel perfectly adjusted to the object bandwidth.
This relation shows that for a real number C, the expression x cos α + y cos β + z cos γ = C describes a phase plane whose normal is in the direction given by the cosines cosα, cosβ and cosγ. 27] represents a wave propagating in the direction normal to these planes. 6 illustrates the concept of spherical and plane waves. 25]). In a homogeneous medium, rays are perpendicular to Σ, and the wave is deformed when propagating to the right (to the left for a convergent wavefront). 6(b). In this case, the rays become parallel and the beam propagates without any deformation.
Since |γ| < 1 (object larger than sensor), this would mean that the spatial resolution is increased by the process. This is, of course, not physically possible because the numerical process cannot easily transcend the fundamental limits due to diffraction. As indicated previously, the reconstruction process based on adjustable magnification consists of Basic Fundamentals of Digital Holography 37 modifying the object size in the direct space so that it can “enter” the window of the reconstructed field of view.
New Techniques in Digital Holography by Pascal Picart