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SCfitInjectionZ.m
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SCfitInjectionZ.m
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function [deltaZ0,ERROR] = SCfitInjectionZ(SC,mode,varargin)
% SCfitInjectionZ
% ===============
%
% NAME
% ----
% SCfitInjectionZ - Fits the injected beam trajectory
%
% SYNOPSIS
% --------
% `[deltaZ0, ERROR] = SCfitInjectionZ(SC, mode [, options])`
%
%
% DESCRIPTION
% -----------
% This function calculates an transverse injection correction based on the BPM readings. Depending on the specified `mode`
% different approaches are being used. In
%
%
% INPUTS
% ------
% `SC`::
% SC base structure.
% `mode`::
% Method to identify the injection offset. Possible are
% - `'fitTrajectory'`:: Based on the ideal lattice a trajectory is fitted which best matches the first `N` BPM readings
% as defined in the options.
% - `'injectionDrift'`:: It is assumed that a 1-turn period orbit is established (see *SCfeedbackBalance*) and that
% between the last BPM of the first turn and the first BPM in the second turn is a drift space.
% A linear regression is used to identify the injected beam trajectory.
%
% OPTIONS
% -------
% The following options can be specified as name-value pairs:
%
% `'nDims'` (1:2)::
% Which transverse planes should be considered.
% `'nBPMs'` (1:3)::
% Which BPMs.
% `'plotFlag'` (0)::
% If true, results are plotted.
% `'verbose'` (0)::
% If true, additional information is printed.
%
%
% RETURN VALUE
% ------------
% `deltaZ0`::
% Injected beam trajectory correction.
% `ERROR`::
% Error flag.
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%% Input check % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% Parse optional arguments
p = inputParser;
addOptional(p,'nDims',1:2);
addParameter(p,'nBPMs',[1:3]);
addOptional(p,'nShots',SC.INJ.nShots);
addOptional(p,'verbose',0);
addOptional(p,'plotFlag',0);
parse(p,varargin{:});
par = p.Results;
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%% Initialization % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% Initialize error flag
ERROR = 0;
% Initialize output
deltaZ0 = zeros(6,1);
inputCheck()
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%% Main function % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% Adjust number of shots
SC.INJ.nShots = par.nShots;
% Get BPM reading
B = SCgetBPMreading(SC);
switch mode
case 'fitTrajectory'
% Get BPM ordinates
ordsUsed = SC.ORD.BPM(par.nBPMs);
% Get reference BPM reading
Bref = B(:,par.nBPMs);
% Search for optimal injection trajectory
deltaZ0(1:4) = -fminsearch(@merritFunction,zeros(4,1));
% Plot results
if par.plotFlag
% Aplly correction
SC.INJ.Z0 = SC.INJ.Z0 + deltaZ0;
B1 = SCgetBPMreading(SC);
% Get BPM s-Positions
sBPM = findspos(SC.RING,SC.ORD.BPM(par.nBPMs));
figure(342);clf;titleStr={'Horizontal','Vertical'};
for nDim=1:2
subplot(1,2,nDim)
plot(sBPM,1E3*Bref(nDim,:),'O--',sBPM,1E3*B1(nDim,par.nBPMs),'X--')
xlabel('s [m]');ylabel('BPM reading [mm]');title(titleStr{nDim});legend({'Initial','After correction'})
end
set(findall(gcf,'-property','TickLabelInterpreter'),'TickLabelInterpreter','latex');
set(findall(gcf,'-property','Interpreter'),'Interpreter','latex');
set(findall(gcf,'-property','FontSize'),'FontSize',16);
set(gcf,'color','w');
drawnow
end
case 'injectionDrift'
% Get BPM s-Positions
tmpS = findspos(SC.RING,SC.ORD.BPM);
sBPM = [tmpS(end) - findspos(SC.RING,length(SC.RING)+1) , tmpS(1)];
% Get BPM readings at injection section between 1st and 2nd turn
Bref = [B(:,length(SC.ORD.BPM)) B(:,length(SC.ORD.BPM)+1)];
% Loop over planes
for nDim=par.nDims
% Perform line fit
sol{nDim} = polyfit(sBPM,Bref(nDim,:),1);
% Write injection correction
deltaZ0(2*nDim-1) = - sol{nDim}(2);
deltaZ0(2*nDim) = - sol{nDim}(1);
end
% Plot results
if par.plotFlag
figure(342);clf;titleStr={'Horizontal','Vertical'};
for nDim=par.nDims
subplot(1,2,nDim)
plot(sBPM,1E6*Bref(nDim,:),'o',sBPM,1E6*(sol{nDim}(1)*sBPM+sol{nDim}(2)),'--',sBPM,1E6*(SC.INJ.Z0(2*nDim)*sBPM+SC.INJ.Z0(2*nDim-1)),'k-',sBPM,[0 0],'k--')
legend({'BPM reading','Fitted trajectory','Real trajectory'});xlabel('s [m]');ylabel('Beam offset [mm]');title(titleStr{nDim});
end
set(findall(gcf,'-property','TickLabelInterpreter'),'TickLabelInterpreter','latex');
set(findall(gcf,'-property','Interpreter'),'Interpreter','latex');
set(findall(gcf,'-property','FontSize'),'FontSize',16);
set(gcf,'color','w');
drawnow
end
end
% Print results
if par.verbose
fprintf('\nInjection trajectory corrected from \n x: %.0fum -> %.0fum \n x'': %.0furad -> %.0furad \n y: %.0fum -> %.0fum \n y'': %.0furad -> %.0furad\n',...
1E6*SC.INJ.Z0(1),1E6*(SC.INJ.Z0(1)+deltaZ0(1)),1E6*SC.INJ.Z0(2),1E6*(SC.INJ.Z0(2)+deltaZ0(2)),1E6*SC.INJ.Z0(3),1E6*(SC.INJ.Z0(3)+deltaZ0(3)),1E6*SC.INJ.Z0(4),1E6*(SC.INJ.Z0(4)+deltaZ0(4)))
end
% Check for errors
if any(isnan(deltaZ0))
ERROR = 1;
end
function inputCheck()
switch mode
case 'injectionDrift'
if SC.INJ.nTurns~=2
error('Injection pattern (''SC.INJ.nTurns'') must be two turns.')
end
case 'fitTrajectory'
if min(diff(par.nBPMs))<=0
error('BPMs must be given in correct order.')
end
otherwise
error('Unsupported mode: ''%s''',mode)
end
end
% Merrit function for tracking
function out = merritFunction(x)
% Get trajectory from ideal lattice
Ta = atpass(SC.IDEALRING, [x;0;0], 1, 1, ordsUsed);
% Copy horizontal and vertical offsets
T = Ta([1 3],:);
% Calculate rms value
out = sqrt(mean((Bref(:)-T(:)).^2));
end
end