COBRAM                   Library "JINRLIB"                       

                                                                     You are
    Authors: R.V.Polyakova, I.P.Yudin                                
                                                                     visitor here.
                                                                     
                  MATHEMATICAL MODELLING OF THE MAGNETIC SYSTEM 
                      BY A.N.TIKHONOV REGULARIZATION METHOD
    
    In this work the problem of searching for the design of the magnetic system
    for creation a magnetic field with the required characteristics in the given
    area is solved.  On the basis of analysis of the mathematical model of the 
    magnetic system rather a general approach is proposed to the solving of the 
    inverse problem, which is written by the Fredgolm equation: 

                        
    It was necessary to define the current density distribution function J(s) and 
    the existing winding geometry for creation of a required magnetic field H(z).
    In the  paper a method of  solving  those by means of regularized iterative 
    processes is proposed. On the base of the concrete magnetic system we perform
    the numerical study of influence of different factors on the character of the
    magnetic field being designed.  

    Detailed description (in Russian, pdf) are submitted.

    References:
    "Математическое моделирование магнитной системы методом регуляризации по А.Н.Тихонову"
    в журнале КИ и М №2, том 3, 2011 год, стр. 165-175.