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

Znanstveni rad - Izvorni znanstveni rad

• Autor: Vladimir Paar
• Autor: Nenad Pavin
• Autor: Krešimir Pavlovski
• Autor: Antun Rubčić
• Autor: Jasna Rubčić; MBZ: 2533
• Autorova ustanova: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Fizički odsjek)
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Fizika

Sažetak (engleski)

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.

• Ključne riječi (engleski): circular aperture; diffraction minima; two uniformly charged spheres; electrostatic interaction energy; positive and negative part of Coulomb potential energy; correlation
• Jezik: engleski
• Vrsta publikacije: Znanstveni rad - Izvorni znanstveni rad
• Status objave: Objavljen
• Vrsta recenzije: Recenziran
• Verzija publikacije: Objavljena verzija rada (izdavačev PDF)
• Naslov časopisa: Fizika A
• Brojčani podaci: vol. 10, br. 4, str. 141-154
• p-ISSN: 1330-0008
• URN:NBN: urn:nbn:hr:217:534757
• Datum objave publikacije: 2001
• URL dokumenta: http://fizika.hfd.hr/fizika_a/av01/a10p141.htm
• Vrsta resursa: Tekst
• Prava pristupa: Otvoreni pristup
• Datum i vrijeme pohrane: 2019-10-11 14:35:51