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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012 Issue 1, Pages 87–96 (Mi vspui10)

Applied mathematics

The calculation of the magnetic field maps for the integral statement for the analyzing magnet of the “Delta-Sigma-T” spectrometer

I. P. Yudin, I. G. Voloshina

Joint Institute for Nuclear Research, Dubna, Moskovskaya obl.

Abstract: The problem of magnetostatics is considered in the integral formulation. A brief description of the method of calculation is given. The corresponding formulas and algorithms for solving the magnetostatic problem are presented. The results of the calculated field distribution of the analyzing magnet SP-94 with clearance of 13 cm for the experiment “Delta-Sigma-T” are shown. The magnetic spectrometer system consists of analyzing magnet 2-SP-94-1B with the interpolar gap of 0.13 m, it has external dimensions of 2.95 m $\times$ 2.12 m $\times$ 1.62 m and aperture of 0.30 m $\times$ 0.13 m. The calculation was performed for the volume 0.33 m $\times$ 0.0645 m $\times$ 1.02 m, the volume of overlapping dimensions which was shown in calculated data with experimental ones. The calculation of the spatial distribution of three components of the magnetic field of the magnet 2-SP-94-1B are conducted to obtain the information of magnitude and uniformity of a magnetic field and to build a working map of the field for different modes of spectrometer operation. The results obtained are planned to use in processing physical data.

Keywords: integral equations, mathematical modeling, magnetic field, spectrometer for high energies physics.

UDC: 537.613


Accepted: October 20, 2011



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