By means of a numerical study we show particle-size distributions retrieved with the Chin-Shifrin, Phillips-Twomey, and singular value decomposition methods. Synthesized intensity data are generated using Mie theory, corresponding to unimodal normal, gamma, and lognormal distributions of spherical particles, covering the size parameter range from 1 to 250. Our results show the advantages and disadvantages of each method, as well as the range of applicability for the Fraunhofer approximation as compared to rigorous Mie theory.
An investigation of the imaging of spheres can aid in understanding details of the surface profiling method of confocal microscopy. The use of semicircular masks to eliminate artifacts in confocal profiling is investigated experimentally. A theoretical treatment of image formation for a spherical object in reflection confocal microscopy is presented. For large spheres a simple approximate theory is described and is shown to be equivalent to application of the Kirchhoff theory for surface scattering.
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