Correlation between diffraction of light by circular aperture and close-range interaction energy of two charged spheres

Paar, Vladimir and Pavin, Nenad and Pavlovski, Krešimir and Rubčić, Antun and Rubčić, Jasna (2001) Correlation between diffraction of light by circular aperture and close-range interaction energy of two charged spheres. Fizika A, 10 (4). pp. 141-154. ISSN 1330-0008

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Abstract

It is shown that the coefficients A_k of angles θ_k, corresponding to the minima of light intensity in the diffraction by a circular aperture, can successfully be described by a function which appears in the electrostatic interaction energy between two uniform surface-charged spheres. The coefficient A_k defines the angle θ_k by sinθ_k = A_kλ/d, k = 1,2,3, ¼ , where λ is the wavelength of light and d is the diameter of the aperture. These coefficients may be correlated with a dimensionless function f_b/R, encountered in the relation of the interaction energy terms of two spheres of equal radii R, with uniformly-distributed surface charges q and q¢ and at a mutual distance b. The total interaction energy, i.e. the Coulomb potential energy, is W = qq¢/(4πε_0b), where ε_0 is the permitivity of vacuum. This energy contains two terms, a positive one W(^+) = W f_b/R and negative one W(^-) = W (1-f_b/R). The correlation between A_k and the function f_b/R is given by A_k - k = u + v f_b/R,k, where u and v are constants. Coefficients A_k obtained by this correlation agree with those defined by the diffraction method within an error of 10^-3% at k = 1, and gradually diminishing to 10^-4% at k = 10.

Item Type: Article
Keywords: circular aperture, diffraction minima, two uniformly charged spheres, electrostatic interaction energy, positive and negative part of Coulomb potential energy, correlation
Date: 2001
Subjects: NATURAL SCIENCES > Physics
Divisions: Faculty of Science > Department of Physics
Publisher: Hrvatsko fizikalno društvo
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 15 Apr 2014 16:15
Last Modified: 15 Apr 2014 16:15
URI: http://digre.pmf.unizg.hr/id/eprint/840

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