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Proceedings Paper

Characterization of an experimental arrangement to measure position of particles in 3D with a high accuracy
Author(s): A. Martínez González; J. A. Guerrero Viramontes; D. Moreno Hernández
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Paper Abstract

Single particle position calculation in three dimensions (3D) with high accuracy is the very important in several branches of science. On the other hand, the use of in-line holography to study very small objects in a dynamic volume is a technique of importance for scientists and engineers across a variety of disciplines for obtaining information about size, shape, trajectory and velocity of small objects such as dust particles. However, in general for in-line holography, accurate determination of the object's position in the optical axis direction is difficult. In order to overcome this shortcoming, we proposed to use in-line holography set up to record particle images in two orthogonal forward configurations. In this study, we avoid digital holography reconstruction to calculate particle position. To determine particle position, the proposed method is based on the calculation of the size and position of the central spot size (CSS) of a particle diffraction image. The size of the CSS is calculated by using the Continuous Wavelet Transform (CWT) and Continuous Hough Transforms (CHT), an then the size of the CSS is related to a calibration curve calculated experimentally in order to determine the "z" particle position and centroid of the CSS render the "x-y" position of a particle image. The procedure proposed in this work to determine the 3D particle position is so simple since it avoids a complicated experimental set-up and several computational steps in order to obtain the 3D position of the particles. Our approach offers the following advantages: First, the mathematical accuracy, light illumination as well as particle and medium refractive indexes are used during the analysis. Second, it is not required to resolve the size of particle since we calculate only the size of CSS of a diffraction particle image pattern.

Paper Details

Date Published: 25 October 2011
PDF: 7 pages
Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 80111P (25 October 2011); doi: 10.1117/12.903269
Show Author Affiliations
A. Martínez González, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
J. A. Guerrero Viramontes, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
D. Moreno Hernández, Ctr. de Investigaciones en Óptica, A.C. (Mexico)


Published in SPIE Proceedings Vol. 8011:
22nd Congress of the International Commission for Optics: Light for the Development of the World
Ramón Rodríguez-Vera; Ramón Rodríguez-Vera; Ramón Rodríguez-Vera; Rufino Díaz-Uribe; Rufino Díaz-Uribe; Rufino Díaz-Uribe, Editor(s)

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