Regular papers

Digital in-line holography assessment for general phase and opaque particle

¹ Département d’optique, UMR-6614, Av. de l’Université, 76801 Saint-Etienne du Rouvray cedex, France
² Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, 5600 MB, Eindhoven, Netherlands

^* coetmellec@coria.fr

Received: 11 March 2014
Revised: 16 May 2014

Abstract

We propose using the circle polynomials to describe a particle’s transmission function in a digital holography setup. This allows both opaque and phase particles to be determined. By means of this description, we demonstrate that it is possible to estimate the digital in-line hologram produced by a spherical particle. The experimental intensity distribution due to an opaque micro-inclusion is compared to the theoretical one obtained by our new model. Moreover, the simulated hologram and reconstructed image of the particle by an optimal fractional Fourier transformation under the opaque disk, quadratic phase, and quasi-spherical phase approximation are compared with the results obtained by simulating holograms by the Lorenz–Mie Theory (LMT). The Zernike coefficients corresponding to the considered particles are evaluated using the double exponential (DE) method which is optimal in various respects.