Fraunhofer diffraction of irregular apertures by Heisenberg uncertainty Monte Carlo model--颗粒学报PARTICUOLOGY

Yuan, Y., Ren, K., & Rozé, C. (2016). Fraunhofer diffraction of irregular apertures by Heisenberg uncertainty Monte Carlo model. Particuology, 24, 151-158. https://doi.org/10.1016/j.partic.2015.03.006

Fraunhofer diffraction of irregular apertures by Heisenberg uncertainty Monte Carlo model

Yijia Yuan ^{a b *}, Kuanfang Ren ^b, Claude Rozé ^b

a Shanghai Jiao Tong University-Paris Tech Elite Institute of Technology, 800 Dongchuan Rd, Shanghai 200240, China
b CORIA-UMR 6614, Normandie Université, CNRS,Université & INSA de Rouen, Avenue de l’Université, BP 12, 76801 Saint Etienne du Rouvray, France

10.1016/j.partic.2015.03.006

Volume 24, February 2016, Pages 151-158

Received 16 January 2015, Revised 13 March 2015, Accepted 16 March 2015, Available online 27 June 2015, Version of Record 21 January 2016.

E-mail: yj.yuan@sjtu.edu.cn

Highlights

• Improved Heisenberg uncertainty Monte Carlo was used to predict the diffraction of a ray/photon.

• The model was validated by comparing the diffracted intensities with the analytical results.

• Diffraction from two square and elliptical openings of different configurations was exemplified.

• HUMC model is a flexible and powerful tool for simulating the diffraction from a complex system.

Abstract

Geometrical optics and the Monte Carlo method are very flexible in dealing with the interaction of light with non-spherical particles, but usually diffraction is not considered. To cover this gap, the Heisenberg Uncertainty Monte Carlo (HUMC) model is applied to calculate separately the diffraction of a ray or a photon. In this paper, we report an improvement of the HUMC model by specifying the phase of the photon subject to the Fraunhofer diffraction condition. After validating the model by comparing its results with analytical results for apertures of simple shapes, the HUMC model is then applied in simulations of Fraunhofer diffraction by apertures of complex shapes, such as those composed of one or two elliptical openings. We have shown that the diffracted intensity distributions of simple apertures obtained by the HUMC model are in good agreement with the results calculated from analytical expressions. The simulations of diffraction by apertures composed of two square or elliptical openings prove that the HUMC model is a powerful and flexible tool for predicting the Fraunhofer diffraction by a complex optical system.

Graphical abstract

Keywords

Diffraction of a ray/photon; Heisenberg uncertainty Monte Carlo model; Fraunhofer diffraction; Irregular aperture

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