Vol.10, No 1, 2011 pp. 105 - 114
UDC
621.352 621.387.13 517.58
SYSTEMS FOR HOMOGENEOUS ELECTROSTATIC FIELD GENERATION USING CHEBYSHEV POLYNOMIALS
Zlata Z. Cvetković, Mirjana T. Perić, Ana N. Vučković
University of Niš, Faculty of Electronic Engineering, Department of Theoretical Electrical Engineering, Aleksandra Medvedeva 14, 18000 Niš, Serbia,
E-mail: zlata.cvetkovic@elfak.ni.ac.rs, mika@elfak.rs, ana.vuckovic@elfak.ni.ac.rs
Abstract.
We propose an optimization method for homogeneous electrostatic field generation. The approach is based on the expansion of axial potential in Chebyshev polynomials for circular symmetrical electrodes arrangement. Dimensions of the electrodes are chosen so that, in the region within the system, a homogeneous electrostatic field exists.
Key Words:
Homogeneous electrostatic field, Chebyshev polynomials Primary cell of the first order, Primary cell of the second order.
SISTEMI ZA GENERISANJE HOMOGENOG ELEKTROSTATIČKOG POLJA PRIMENOM
ČEBIŠEVLJEVIH POLINOMA
U radu je predložen optimizacioni metod za generisanje homogenog elektrostatičkog polja. On se zasniva na razvoju izraza za aksijalni potencijal u Čebiševljeve polinome kada su torusne elektrode sistema raspoređene oko sfere. Dimenzije elektroda su određene tako da je u unutrašnjosti sistema dobijeno homogeno elektrostatičko polje.
Ključne reči:
Homogeno electrostatičko polje, Čebiševljevi polinomi, Osnovna ćelija prvog reda, Osnovna ćelija drugog reda
