Obtaining Particle Velocity And Displacement Distributions From Double-Exposure Holograms Using Optical And Digital Processing

P. H. Malyak; B. J. Thompson

doi:10.1117/12.978030

11 November 1985 Obtaining Particle Velocity And Displacement Distributions From Double-Exposure Holograms Using Optical And Digital Processing

P. H. Malyak, B. J. Thompson

Author Affiliations +

Proceedings Volume 0573, Particle Sizing and Spray Analysis; (1985) https://doi.org/10.1117/12.978030
Event: 29th Annual Technical Symposium, 1985, San Diego, United States

Abstract

A double-exposure far-field hologram contains particle displacement and velocity information for all particles within a given sample volume. The optical Fourier transform of such a hologram contains a set of fringes which are dependent on the probability density function (pdf) that characterizes the distribution of particle displacements or velocities. It is demonstrated that intensity data measured in the transform plane of a doubly exposed hologram may be processed to yield this pdf for particle motion in one dimension. In the 2-dimensional case, the marginal pdf's may be obtained when the orthogonal components of displacement are independent. Experimental results for 1- and 2-dimensional distributions are presented and good agreement between theory and experiment is observed.

Citation Download Citation

P. H. Malyak and B. J. Thompson "Obtaining Particle Velocity And Displacement Distributions From Double-Exposure Holograms Using Optical And Digital Processing", Proc. SPIE 0573, Particle Sizing and Spray Analysis, (11 November 1985); https://doi.org/10.1117/12.978030

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