Paar, Vladimir and Pavin, Nenad and Pavlovski, Krešimir and Rubčić, Antun and Rubčić, Jasna (2001) Correlation between diffraction of light by circular aperture and closerange interaction energy of two charged spheres. Fizika A, 10 (4). pp. 141154. ISSN 13300008

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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 surfacecharged 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 uniformlydistributed 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 (1f_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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