Optical Production of the Husimi Function of Two Gaussian Functions

The intensity distribution of the Husimi function (HF) and the squared modulus of the Wigner function (WF) are detected in the phase space of an astigmatic optical processor. These results, obtained in the laboratory, are compared against numerical results generated by using analytical calculation for the HF and WF. The signal function is the superposition of two Gaussian functions with a separation between them, having the same amplitude but a different variance

An alternative approach to the tomographic reconstruction of smooth refractive index distributions

Continuous, mathematically smooth Phase Objects with radial symmetry are reconstructed from cross sections of their refractive index distribution by a novel method, consisting of a linear combination of Gaussian basis functions, whose technical details are discussed. As an application example, this approach is used to get a fast and accurate estimation of the temperature distribution of an actual soldering tip

An alternative method for phase-unwrapping of interferometric data

In this paper we present a novel algorithm for phase unwrapping where only a subset of data from the wrapped phase map is used to reconstruct the unwrapped phase map as a linear combination of radial basis functions (RBF’s). For noisy phase maps this algorithm gives better results than three reference algorithms based on radial basis functions, Zernike polynomials and path dependent phase unwrapping strategies

Algorithm for High-accuracy particle image position estimation in PIV applications

ABSTRACT We proposed a method for the 3D position estimation in particle image velocimetry. The method uses the pattern-matching between theoretical and experimental images by exploiting the scattered energy field and uses genetic algorithm. The simulations and experimental verification of this problem are discussed. Keywords: Particle image velocimetry, genetic algorithm. 1.-INTRODUCTION In particle image velocimetry is important to obtain information about the three-component positions. There are several works in order to provide instantaneous three-dimensional position information, such as holographic, stereoscopic and light sheets methods Velocimetry particle images show a scattering field that is dependent on their relative 3D position when illuminated in a volume, such as when holographically recorded or imaged using Tunnelling Velocimetry In this work the experimental image was obtained with Tunnelling Velocimetry technique and was interpreted to obtain the 3D information of particle position. So, the diffraction field can be deduced from single CCD camera In other hand, the theoretical image was generated by treatment Generalized Lorentz-Mie theory (GLMT) 2.-THE 3D POSITIONING ALGORITHM There are two separate points to be work in assessing the applicability of the 3D positioning method to the case of seeding particles: possessing an accurate scattering theoretical model for spherical particle