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Optical Engineering

Theoretical Model For The Image Formed By A Spherical Particle In A Coherent Imaging System: Comparison To Experiment
Author(s): S. A. Schaub; D. R. Alexander; J. P. Barton
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Paper Abstract

A simple theoretical model is presented that allows calculation of the image produced by a spherical absorbing particle illuminated by monochromatic, coherent laser light. Results presented in this paper are restricted to a single-lens imaging system, although generalization to more complex imaging system configurations would be straightforward. The method uses classic Lorenz-Mie scattering theory to obtain the electro-magnetic field external to an absorbing spherical particle and a Fourier optics approach to calculate the intensities in the image plane. Experimental results evaluating focus characteristics are examined for 50 um diameter water droplets using an N2 laser imaging system in conjunction with a digital image processor, and the experimental images are compared to the results of the theoretical model. Comparative focus criteria results are particularly useful in aerosol science research involving dynamic particle size measurements in which criteria for focus and depth of field must be established.

Paper Details

Date Published: 1 May 1989
PDF: 8 pages
Opt. Eng. 28(5) doi: 10.1117/12.7976999
Published in: Optical Engineering Volume 28, Issue 5
Show Author Affiliations
S. A. Schaub, University of Nebraska (United States)
D. R. Alexander, University of Nebraska (United States)
J. P. Barton, University of Nebraska (United States)


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