CYCLOTRONS 2010 - List of Keywords (closed-orbit)

Paper	Title	Other Keywords	Page
MOPCP042	Determination of Isochronous Field Using Magnetic Field Map	cyclotron, ion, heavy-ion, extraction	135
	N.Yu. Kazarinov, O.N. Borisov, V.I. Kazacha JINR, Dubna, Moscow Region, Russia
	In this work a new scheme for calculation of a cyclotron isochronous field using the previously calculated or measured map of the cyclotron magnetic field in its median plane is adduced. The calculating map of the cyclotron magnetic field was set by the matrix having the dimensions 201x181. The flutter part of the magnetic field obtained by subtraction of the zero azimuth harmonic from the magnetic field values were calculated in all net nodes. The magnetic rigidity value in the equation for the particle radius versus the angle was replaced by product of the mean radius and mean along the closed orbit magnetic field. The flutter function was interpolated with the help of the third order Lagrange's polynomials using 16 nodes of the net. At every given radius with the help of the nonlinear simplex method of optimization one can find such value of the isochronous field when the particle path is enclosed with accuracy of 10^-9. The results of the fulfilled calculations for the cyclotron DC-110 and their comparison with results of other calculations are given.

Paper

Title

Other Keywords

Page

MOPCP042

Determination of Isochronous Field Using Magnetic Field Map

cyclotron, ion, heavy-ion, extraction

135

N.Yu. Kazarinov, O.N. Borisov, V.I. Kazacha
JINR, Dubna, Moscow Region, Russia

In this work a new scheme for calculation of a cyclotron isochronous field using the previously calculated or measured map of the cyclotron magnetic field in its median plane is adduced. The calculating map of the cyclotron magnetic field was set by the matrix having the dimensions 201x181. The flutter part of the magnetic field obtained by subtraction of the zero azimuth harmonic from the magnetic field values were calculated in all net nodes. The magnetic rigidity value in the equation for the particle radius versus the angle was replaced by product of the mean radius and mean along the closed orbit magnetic field. The flutter function was interpolated with the help of the third order Lagrange's polynomials using 16 nodes of the net. At every given radius with the help of the nonlinear simplex method of optimization one can find such value of the isochronous field when the particle path is enclosed with accuracy of 10^-9. The results of the fulfilled calculations for the cyclotron DC-110 and their comparison with results of other calculations are given.