engleski

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

It is shown that the coefficients A_k of angles theta_k,corresponding to the minima of light intensity in the diffraction by 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 theta_k by sin theta_k = A_k lambda/d,k=1,2,3,...,where lambda is the wavelength of light and d is the diameterer 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'/4piepsilon_0b,where epsilon_0 is the permitivity of vacuum. This energy contanis two terms, a positive one W+=Wf_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+vf_b?r,k, where u and v are constants. Coefficients A_k obtained by this correlation agree with those defined by a diffraction method within an error of 10-3 % at k=1, and gradually diminishing to 10-4 % at k=10.

circular aperture; diffraction minima; two uniformly charged spheres; electrostatic interaction energy; positive and negative part of Coulomb potential energy; correlation

nije evidentirano