Analytical dependences used for preliminary synthesis and optimization of cyclotron magnetic structures

Analytical dependences used for preliminary synthesis and determination of the main physical and geometrical parameters of cyclotron magnetic structures and magnet itself are examined herein. A method of obtaining, describing, and graphically representing these two-dimensional analytical dependences are also examined. Their use allows preliminary synthesis and optimization of near-azimuthically magnetic structures of cyclotrons with straight and spiral sectors. The ratio of their air gaps in the valley and in the region of the sectors shouldn’t exceed 25 and the average magnetic field shouldn’t be more than 2 T. The use of some of these became the basis in developing the CyclSyntWin software application, which has been used already for several years at the Laboratory of Nuclear Reactions of the Joint Institute for Nuclear Research in Dubna for preliminary synthesis and optimization of the main parameters of cyclotron magnetic structures and magnets.