Study the Effects of Gaussian distribution of coherence length of the source on the diffraction from single slit and circular aperture using Monte Carlo simulation

Alavi, Seyed Ali Asghar; Koushki, Ehsan

doi:10.47176/ijpr.23.2.91320

Study the Effects of Gaussian distribution of coherence length of the source on the diffraction from single slit and circular aperture using Monte Carlo simulation

Document Type : Original Article

Authors

Seyed Ali Asghar Alavi

Ehsan Koushki

Department of Physics, Hakim Sabzevari University, Sabzevar, Iran

https://doi.org/10.47176/ijpr.23.2.91320

Abstract

We study the Fraunhofer diffraction from a single slit as well as a circular aperture in a situation where the light source is monochromatic but partially coherent. In this paper, we try to bring the problem closer to reality and do not fix the coherence length and consider a Gaussian distribution function for it. Numerical study of the effects of coherence parameters with Gaussian distribution on a far field diffraction pattern is performed. In the case of a single slit, as the coherence length decreases, no significant deviation occurs at its central peak, but at higher diffraction levels, a decrease is apparent, depending on the Gaussian distribution of the coherence length. For circular apertures, the parameters of the coherence length distribution function affect the shape of the light intensity distribution and the first-order diffraction pattern decreases, and with a relative decrease in coherence length, the first-order circular diffraction pattern gradually disappears.

Keywords

Monte Carlo method

partial temporal coherence

single slit

circular aperture

Gaussian distribution

Subjects

Optics and Photonics

J Bakos and K Kantor, Nuovo Cimento 22 (1961) 519.
R A Shore, B J Thompson, and R Whitney, Opt. Soc. Am. 56 (1966) 733.
B J Thompson, Opt. Soc. Am. 56 (1966) 1157.
T Asakura and H Mishina, Commun. 7 (1973) 38.
J A Rodrigo and T Alieva, “Fast control of temporal and spatial coherence properties of microscope illumination using DLP projector” .Proc. of SPIE Vol. 9336 93360F-1.
Z Zhao, et al., Sci.9, 17 (2019) 3616
S Roling, et al., Physical Review Special Topics - Accelerators And Beams 14, 080701 (2011).
E Koushki and S A Alavi, Optics Communications 441(2019)33.
A study of the effects of Gaussian distribution of coherence length of source on the diffraction of partial temporal coherence beam from multi slits: Theory and simulation https://doi.org/10.1016/j.rio.2023.100546.
E Koushki and M H Majles Ara, Optics Communications 284 (2011) 5488
E Koushki and M H Majles Ara, H. Akherat Doost, Applied Physics B 115 (2014) 279.
Alex Gezerlis, “Numerical Methods in Physics with Python”, 2020, Cambridge University Press(2020).
S Simon and H Martin, “Computational Methods in Physics”, Springer”, second edition, New York (2018).
E Hecht, “Optics”, fifth ed., Pearson Education Limited, London (2017).
F Pedrotti and L S Pedrotti, “Introduction to Optics”, second ed., Prentice-Hall, Inc,
Sa+ddle River NJ (1993).