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fennecslite/magnet/Cryogenic/B_Mat88_Cryogenic_170.m
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B_Mat88_Cryogenic_170.m
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function [M,gamma,delta] = B_Mat88_Cryogenic_170(magnet)
%
% Call: [M,gamma,delta] = B_Mat88_Cryogenic_170(Magnet)
% Example: >> [M,gamma,delta] = B_Mat88_Cryogenic_170('toto');
%
% Version : 1.0 J.-P. Hogge Aug. 3rd, 2017
% largely based on B_Matrix_170.m
%
% Magnetic field matrix associated with GT170 GHz Cryogenic magnet.
% This a set of coefficient such that their scalar product with the
% currents provided by the power supplies should be < 0 to avoid
% interception. The gamma parameters correspond to the case where magnetici
% flux conservation is used, whereas the delty parameters are based on the
% vector potential A_phi.
%
%
%
% B_gun M(1,1) M(1,2) M(1,3) M(1,4) M(1,5) I1
% = *
% B_cavity M(2,1) M(2,2) M(2,3) M(2,4) M(2,5) I2
%
% dBz/dz_gun M(3,1) M(3,2) M(3,3) M(3,4) M(3,5) I3
%
% B_launcher M(4,1) M(4,2) M(4,3) M(4,4) M(4,5) I4
%
%
% with currents I1, I2, -I3, I4 flowing in the 4 power supplies
%
% GT170 1MW first prototype (TH1509) geometry
%
z_shim = 0.00;
z_cat_design = 0.1335; % corresponds to the LARGEST emitter radius,
% not the average one.
z_cav_design = 0.4995; % cavity center position
z_launcher_d = 0.78848; % launcher edge
z_cat = z_cat_design + z_shim;
z_cav = z_cav_design + z_shim;
z_launcher = z_launcher_d + z_shim;
r_cat = 0.05419; % largest emitter radius
r_launcher = 0.02068; % launcher radius
% r = [0 0 0 0] % If one decides to use on-axis values
r = [0 0 0 r_launcher] % If one decides to use more stringent values
rphi = [r_cat 0 r_cat r_launcher] % check with vector potential
z = [z_cat z_cav z_cat z_launcher]
% this script is specially dedicated to the 170GHz Cryogenic magnet...
magnet = 'cryogenic' ;
disp(sprintf('Aimant : %s',magnet))
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
[B] = B_Ellip_Cryogenic_170('bz' ,magnet,[1 0 0 0],r,z);
[DB] = B_Ellip_Cryogenic_170('dbzdz' ,magnet,[1 0 0 0],r,z);
[D2B] = B_Ellip_Cryogenic_170('d2bzdz2',magnet,[1 0 0 0],r,z);
[Aphi] = B_Ellip_Cryogenic_170('aphi', magnet,[1 0 0 0],rphi,z);
column = 1;
M(1,column) = B(1) ; M(2,column) = B(2); M(3,column)=DB(1); M(4,column)=B(4);
aphig(column) = Aphi(1);
aphil(column) = Aphi(4);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
[B] = B_Ellip_Cryogenic_170('bz' ,magnet,[0 1 0 0],r,z);
[DB] = B_Ellip_Cryogenic_170('dbzdz' ,magnet,[0 1 0 0],r,z);
[D2B] = B_Ellip_Cryogenic_170('d2bzdz2',magnet,[0 1 0 0],r,z);
[Aphi] = B_Ellip_Cryogenic_170('aphi', magnet,[0 1 0 0],rphi,z);
column = 2;
M(1,column) = B(1) ; M(2,column) = B(2); M(3,column)=DB(1); M(4,column)=B(4);
aphig(column) = Aphi(1);
aphil(column) = Aphi(4);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
[B] = B_Ellip_Cryogenic_170('bz' ,magnet,[0 0 1 0],r,z);
[DB] = B_Ellip_Cryogenic_170('dbzdz' ,magnet,[0 0 1 0],r,z);
[D2B] = B_Ellip_Cryogenic_170('d2bzdz2',magnet,[0 0 1 0],r,z);
[Aphi] = B_Ellip_Cryogenic_170('aphi', magnet,[0 0 1 0],rphi,z);
column = 3;
M(1,column) = B(1) ; M(2,column) = B(2); M(3,column)=DB(1); M(4,column)=B(4);
aphig(column) = Aphi(1);
aphil(column) = Aphi(4);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
[B] = B_Ellip_Cryogenic_170('bz' ,magnet,[0 0 0 1],r,z);
[DB] = B_Ellip_Cryogenic_170('dbzdz' ,magnet,[0 0 0 1],r,z);
[D2B] = B_Ellip_Cryogenic_170('d2bzdz2',magnet,[0 0 0 1],r,z);
[Aphi] = B_Ellip_Cryogenic_170('aphi', magnet,[0 0 0 1],rphi,z);
column = 4;
M(1,column) = B(1) ; M(2,column) = B(2); M(3,column)=DB(1); M(4,column)=B(4);
aphig(column) = Aphi(1);
aphil(column) = Aphi(4);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
disp(sprintf(' Bz_gun %f %f %f %f I1 ', M(1,1), M(1,2), M(1,3), M(1,4)))
disp(sprintf(' Bz_cav %f %f %f %f I2 ', M(2,1), M(2,2), M(2,3), M(2,4)))
disp(sprintf(' dBzdz_gun %f %f %f %f I3 ', M(3,1), M(3,2), M(3,3), M(3,4)))
disp(sprintf(' Bz_launcher %f %f %f %f I4 ', M(4,1), M(4,2), M(4,3), M(4,4)))
gamma = [0 0 0 0];
delta = [0 0 0 0];
for i=1:4
gamma(i) = M(1,i) - (r_launcher/r_cat)^2 * M(4,i);
delta(i) = aphig(i) - (r_launcher/r_cat) * aphil(i)
end
disp(' ')
format long
disp(sprintf(' gamma %f %f %f %f ',gamma(1), gamma(2), gamma(3), gamma(4)))
disp(sprintf(' delta %f %f %f %f ',delta(1), delta(2), delta(3), delta(4)))
return
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