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cutoff_stdln.m
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cutoff_stdln.m
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function [shot]=cutoff_stdln(varargin)
%expected reflectometer cut-off positions as a function of sqrt(psi_norm) and R
%by means of EFIT-LIUQE and Thomson scattering
%[shot]=cutoff_stdln(shot,freq,tmin,tmax,tokamak)
%
%Input:
%shot=shot number;
%freq=reflectometer frequency [GHz]
%tmin=initial instant
%tmax=final istant
%tokamak=JET(1)or TCV(2)
%
%Output: structure shot with fields
%rhox=cutoff X mode [sqrt(psi/psi_edge)];
%rhoo=cutoff O mode [sqrt(psi/psi_edge)];
%pathx=beam path (in vacuum, not optical beam path!!!) between the rotatable mirror and the plasma X mode cutoff [m]
%patho=beam path (in vacuum, not optical beam path!!!) between the rotatable mirror and the plasma O mode cutoff [m]
%anglex=angle between the X-mode cut-off flux surface and k0 [rad]
%angleo=angle between the O mode cut-off flux surface and k0 [rad]
%curv_fs_x=Radius of curvature of X-mode cut-off flux surface [m]
%curv_fs_o=Radius of curvature of O-mode cut-off flux surface [m]
%kscattx=scattering k in case of X mode [cm-1]
%kscatto=scattering k in case of O mode [cm-1]
%
%AM revised to standalone version 14/02/08
%AM bug fixed 07/05/08
%AM added cut-off ece for first 2 harmonics 12/09/08
switch nargin
case 0
disp('Nothing provided, default: shot=33481, freq=70 GHz, tmin=1 s, tmax=1.5 s');
shot=33481;
freq=70;
tmin=1;
tmax=1.5;
tokamak=2;
case 1
disp('No freq, time provided, default: frq=70 GHz, tmin=1s, tmax=1.5,');
shot=varargin{1};
freq=70;
tmin=1;
tmax=1.5;
tokamak=2;
case 2
disp('No time provided, default: tmin=1s, tmax=1.5,');
tmin=1;
tmax=1.5;
shot=varargin{1};
freq=varargin{2};
tokamak=2;
case 3
disp('No tmax provided, default: tmax=min(1.5 s, tmin+0.1 s)');
tmin=varargin{3};
tmax=min(1.5,tmin+0.1);
shot=varargin{1};
freq=varargin{2};
tokamak=2;
case 4
disp('TCV tokamak assumed');
shot=varargin{1};
freq=varargin{2};
tmin=varargin{3};
tmax=varargin{4};
tokamak=2;
otherwise
disp('Additional parameters ignored');
shot=varargin{1};
freq=varargin{2};
tmin=varargin{3};
tmax=varargin{4};
tokamak=varargin{5};
end
C.rne=[];
if iscell(tokamak)
tokamak=cell2mat(tokamak(1));
end
if ~ismember('neo',fieldnames(C))
if tokamak==1
mdsopen('mdsplus.jet.efda.org::');
C.lidr=0;
[C.neo,ny]=mdsdata(sprintf('_sig=jet("ppf/nft2/prof",%d)',shot));
if C.neo==0
[C.neo,ny]=mdsdata(sprintf('_sig=jet("ppf/lidr/ne",%d)',shot));
if C.neo==0
disp('No density data')
shot=nan;
return
end
C.lidr=1;
end
[C.rne,y]=mdsdata('dim_of(_sig,0)');
[C.tne,yy]=mdsdata('dim_of(_sig,1)');
[C.b,by]=mdsdata(sprintf('_sig=jet("ppf/efit/btax",%d)',shot));
[C.rb,yy]=mdsdata('dim_of(_sig,0)');
[C.tb,byyy]=mdsdata('dim_of(_sig,1)');
[C.conv,cy]=mdsdata(sprintf('_sig=jet("ppf/efit/rmjo",%d)',shot));
[C.rconv,cyy]=mdsdata('dim_of(_sig,0)');
[C.tconv,cyyy]=mdsdata('dim_of(_sig,1)');
else
mdsopen(shot);
if shot>24799
a=tdi('\results::thomson.profiles.auto:ne');
if or(isempty(a.data),ischar(a.data))
disp('No density data!');
shot=nan;
mdsclose;
return;
end
if strcmp('s',a.dimunits{1})
i1=find(~isnan(a.data(:,end)));
a.data=a.data(i1,:);
C.neo=a.data';
C.tne=a.dim{1}(i1);
C.rne=a.dim{2};
else
i1=find(~isnan(a.data(end,:)));
a.data=a.data(i1,:);
C.neo=a.data';
C.tne=a.dim{2}(i1);
C.rne=a.dim{1};
end
else
a=tdi('\results::th_prof_ne');
if isempty(a.data)
disp('No density data');
shot=nan;
mdsclose;
return;
elseif isnan(a.data)
disp('No density data');
shot=nan;
mdsclose;
return;
end
if strcmp('s',a.dimunits{1})
i1=find(~isnan(a.data(:,end)));
a.data=a.data(i1,:);
C.neo=a.data;
C.tne=a.dim{2}(i1);
C.rne=a.dim{1};
else
i1=find(~isnan(a.data(end,:)));
a.data=a.data(:,i1);
C.neo=a.data';
C.tne=a.dim{1}(i1);
C.rne=a.dim{2};
end
end
disp('dowloading injection angles')
C.theta=tdi('\ecrh::launchers:theta_l:x2_7');
if isempty(C.theta.data)
disp('No poloidal injection angle data');
shot=nan;
mdsclose;
return
end
C.phi=tdi('\ecrh::launchers:phi_l:x2_7');
if isempty(C.phi.data)
disp('No toroidal injection angle data');
shot=nan;
mdsclose;
return
end
disp('Injection angles information downloaded')
disp('dowloading equilibrium data')
C.psi=tdi('\results::psi');
C.rcont=tdi('\results::r_contour');
C.zcont=tdi('\results::z_contour');
C.z_axis=tdi('\results::z_axis');
C.r_axis=tdi('\results::r_axis');
C.btor=tdi('\magnetics::rbphi');
C.ip=tdi('\magnetics::iplasma:trapeze');
disp('equilibrium data downloaded')
mdsclose;
end
%disp('Saving equilibrium data');
%if exist(strcat(sprintf('turbo_%d',shot),'.mat'))
%save(sprintf('turbo_%d',shot),'C','-append');
%else
%save(sprintf('turbo_%d',shot),'C');
%end
%disp(sprintf('Data saved as turbo_%d',shot));
end
if tmin<C.tne(1)
disp('tmin<first exp time point, this one will be taken');
tmin=C.tne(1);
end
if tmax>C.tne(end)
tmax=C.tne(end);
disp('tmax>last exp time point, this one will be taken');
if tmin>tmax
tmin=tmax-0.5;
disp('tmin set to tmax-0.5 s');
end
end
cost1=3180.96; %e^2/(epsilon0*me)
cost2=8.8*10^10; %e/(2*me)
cost3=1.7588e11; %e/me
if tokamak==1
tn=find(C.tne>tmin & C.tne<tmax);
if isempty(tn)
tn=iround(C.tne,(tmin+tmax)/2);
end
tc=find(C.tb>tmin & C.tb<tmax);
if isempty(tc)
tc=iround(C.tb,(tmin+tmax)/2);
end
tr=find(C.tconv>tmin & C.tconv<tmax);
if isempty(tr)
tr=iround(C.tconv,(tmin+tmax)/2);
end
nem=mean(C.neo(:,tn),2);
R=mean(C.conv(:,tr),2);
btor=abs(mean(C.b(:,tc),2));
if C.lidr
ne=interp1(C.rne,nem,R,'spline');
else
ne=interp1(C.rne,nem,C.rconv,'spline');
end
%Extrapolate up to zero density
if ne(end)
R=[R;R(end)+ne(end)*abs((R(end)-R(end-1))/(ne(end)-ne(end-1)))];
ne=[ne;0];
%btor=[btor;btor(1)*R(1)/R(end)]; This gives btor(end)>btor(end-1)???!!!
btor=[btor;btor(end)-abs((btor(end)-btor(end-1))/(R(end-2)-R(end-1))*(R(end)-R(end-1)))];
C.rconv=[C.rconv;C.rconv(end)+abs((C.rconv(end)-C.rconv(end-1))/(R(end-2)-R(end-1))*(R(end)-R(end-1)))];
end
%.....frequenze cut-off modo X.....
omegax=2*pi*1e9*[76;85;96;100];
OMECE=cost3.*btor;
OML=sqrt(cost1*ne+(cost2*btor).^2)-cost2*btor;
OMU=sqrt(cost1*ne+(cost2*btor).^2)+cost2*btor;
%passx=find(omegax>max(OMU));
%passx1=find(omegax>max(OML) & omegax<min(OMU));
XU=interp1(OMU,R,omegax);
XL=interp1(OML,R,omegax);
XECE=interp1(OMECE,R,omegax);
ooops=find(isnan(XU));
XU(ooops)=XL(ooops);%takes the second resonance if the first one is missed
%.....frequenze cut-off modo O.....
omegao=2*pi*1e9*[18.6 24.3 29.1 34.1 39.6 45.2 50.5 57.7 63.8 69.6]';
%pass=find(omegao.^2/cost1>max(ne))
%if pass(1)>1
%XO=interp1(ne,R,omegao(1:pass(1)-1).^2/cost1);
%end
XO=interp1(ne,R,omegao.^2/cost1);
rhoo=interp1(R,C.rconv,XO);
rhox=interp1(R,C.rconv,XU);
XECE=interp1(OMECE,R,omegao);
rhoo=interp1(R,C.rconv,XO);
rhox=interp1(R,C.rconv,XU);
rhoece=interp1(R,C.rconv,XECE);
%plot, uncomment the following to plot results in a figure
%scr=get(0,'screensize');
%a=0.45;
%f(1)=scr(1)+scr(3)*(1-a)/2;
%f(2)=scr(2)+scr(4)*(1-a)/2;
%f(3)=scr(3)*a;
%f(4)=scr(4)*a;
%h=figure('position',[f(1) f(2) f(3) f(4)]);
%set(h,'name','Reflectometer cut-off positions','numbertitle','off');
%risp.uno=uicontrol('units','normalized','style','text','position',[0.05 0.94 0.4 0.05],'string',...
%'X Reflectometer','Fontweight','demi','fontsize',14,'fontname','times');
%for i=1:4
% if ~isnan(XU(i))
% uicontrol('units','normalized','style','text','position',[0.05 0.94-i*0.08 0.4 0.05],'string',...
% strcat(mat2str(omegax(i)/2/pi*1e-9),' GHz: ',' R=',mat2str(XU(i),3),' m - rho= ',mat2str(rhox(i),3)));
% else
% uicontrol('units','normalized','style','text','position',[0.05 0.94-i*0.08 0.4 0.05],'string',...
% strcat([mat2str(omegax(i)/2/pi*1e-9),' GHz: ','No resonance']));
% end
%end
%risp.due=uicontrol('units','normalized','style','text','position',[0.55 0.94 0.4 0.05],'string',...
%'O Reflectometer','Fontweight','demi','fontsize',14,'fontname','times');
%for i=1:length(XO)
% if ~isnan(XO(i))
% uicontrol('units','normalized','style','text','position',[0.55 0.94-i*0.08 0.4 0.05],'string',...
% strcat(mat2str(omegao(i)/2/pi*1e-9),' GHz: ',' R=',mat2str(XO(i),3),' m - rho= ',mat2str(rhoo(i),3)));
% else
% uicontrol('units','normalized','style','text','position',[0.55 0.94-i*0.08 0.4 0.05],'string',...
% strcat([mat2str(omegao(i)/2/pi*1e-9),' GHz: ','No resonance']));
% end
%end
else
tn=find(C.tne>tmin & C.tne<tmax);
if isempty(tn)
tn=iround(C.tne,(tmin+tmax)/2);
disp('Datatime may too small for Thomson: only one point taken corresponding to (tmin+tmax)/2');
end
%i1=iround(C.theta.dim{1},(tmin+tmax)/2);
%theta1=C.theta.data(i1);
%phi1=C.phi.data(i1);
i1=find(C.theta.dim{1}>tmin & C.theta.dim{1}<tmax);
if isempty(i1)
i1=iround(C.theta.dim{1},(tmin+tmax)/2);
disp('Datatime may too small for mirror angle acq. rate: only one point taken corresponding to (tmin+tmax)/2');
end
theta1=nanmean(C.theta.data(i1));
phi1=nanmean(C.phi.data(i1));
if theta1==90
theta1=eps;
end
%Coordinates of pivot points of the two mirrors
P1=[1.3072 0.0537];
P2=[1.1906 -0.0695];
M1=tan(52.013*pi/180);%Angular coefficient of the inping beam on the rotatable mirror.
BETA=(52.013-theta1)/2*pi/180;%Angle of the rotatable mirror with respect to the horizontal direction
M2=tan(BETA);%Angular coefficient of the rotatable mirror.
P3=[P2(1)-0.01*sin(BETA) P2(2)+0.01*cos(BETA)];
A=[M1 -1;M2 -1];%matrix to solve the intercepted point between mirror surface and inping beam.
B=[P1(1)*M1-P1(2);P3(1)*M2-P3(2)];
P4=A\B;%Starting point of the beam on the rotatable mirror.
%Fewer operations hereafter involving theta1, 'cause always in trigonometric functions
theta1=pi/2-theta1*pi/180;
tm=find(C.ip.dim{1}>tmin & C.ip.dim{1}<tmax);
ip=nanmean(C.ip.data(tm));
ne1=mean(C.neo(:,tn),2)';
dump=find(~isnan(ne1));
ne1=ne1(dump);
if isempty(ne1)
disp('A combination of NaN gives no useful data points');
kscatto=nan;
kscattx=nan;
angleo=nan;
anglex=nan;
patho=nan;
pathx=nan;
curv_fs_o=nan;
curv_fs_x=nan;
rhoo=nan;
rhox=nan;
return
end
i1=iround(C.psi.dim{3},tmin);
i2=iround(C.psi.dim{3},tmax);
raxis=nanmean(C.r_axis.data(i1:i2));
zaxis=nanmean(C.z_axis.data(i1:i2));
if i1~=i2
rcont=nanmean(C.rcont.data(:,i1:i2)');
zcont=nanmean(C.zcont.data(:,i1:i2)');
else
rcont=C.rcont.data(:,i1:i2);
rcont=rcont(:);
zcont=C.zcont.data(:,i1:i2);
zcont=zcont(:);
end
rcont=rcont(find(~isnan(rcont)));
zcont=zcont(find(~isnan(zcont)));
r0cont=sum(rcont(2:end).*abs(diff(rcont)).*abs(zcont(2:end)))/sum(abs(diff(rcont)).*abs(zcont(2:end)));
z0cont=sum(zcont(2:end).*abs(diff(zcont)).*abs(rcont(2:end)))/sum(abs(diff(zcont)).*abs(rcont(2:end)));
psi1=mean(C.psi.data(:,:,i1:i2),3);
%Depending if current was clockwise or counter-clockwise
if nanmean(C.ip.data)>0
psi1=max(max(psi1))-psi1;
else
psi1=psi1+abs(min(min(psi1)));
end
Rmin=max(min(rcont),P4(1)-tan(theta1)*(max(zcont)-P4(2)));
Zmax=P4(2)+cot(theta1)*(P4(1)-Rmin);
N=400;
[x,y]=meshgrid(C.psi.dim{2},C.psi.dim{1});
%Create grid between max min points of LCFS touched by the beam
ZZ=linspace(P4(2)+cot(theta1)*(P4(1)-C.psi.dim{1}(end)),Zmax,N);
RR=linspace(Rmin,C.psi.dim{1}(end),N);
dR=RR(2)-RR(1);
dZ=ZZ(2)-ZZ(1);
[x1,y1]=meshgrid(ZZ,RR);
psi=interp2(x,y,psi1,x1,y1,'*spline');
psimax=psi(iround(RR,max(rcont)),iround(ZZ,zaxis));
psi=psi/psimax;
psi=psi';
rhopsi=sqrt(diag(psi));
btor=abs(nanmean(C.btor.data(tm))./(RR));
btor=btor(:);
ne=interp1(C.rne(dump),ne1,rhopsi,'spline');
ne(find(ne<0))=0;%Extrapolation by intepr in general gives negative densities
%.....frequenze cut-off modo O-X.....
omega=freq*2*pi*1e9;
k0=omega/(2.9979*1e10); %k0 of the microwave expressed in cm-1
OML=sqrt(cost1*ne+(cost2*btor).^2)-cost2*abs(btor);
OMU=sqrt(cost1*ne+(cost2*btor).^2)+cost2*abs(btor);
OMO=sqrt(cost1*ne);
%figure, uncomment the following to plot cut-off
%plot(rhopsi,OML,rhopsi,OMU,rhopsi,OMO)
%legend('X-M-Low','X-M-Up','O-M')
%line([min(rhopsi) rhopsi(end)],[omega omega])
%Searching for indexes before and after cut-off and the linear interpolation
rhoo=[];
rhoxu=[];
rhoxl=[];
ind=find(OMO>=omega);
if isempty(ind)
rhoo=nan;
indo=nan;
else
indo=ind(end);
if indo==length(OMO)
rhoo=rhopsi(end);
else
rhoo=interp1(OMO(indo:indo+1)-omega,rhopsi(indo:indo+1),0);
end
end
ind=find(OMU>=omega);
if isempty(ind)
rhoxu=nan;
indxu=nan;
else
indxu=ind(end);
if indxu==length(OMU)
rhoxu=rhopsi(end);
else
rhoxu=interp1(OMU(indxu:indxu+1)-omega,rhopsi(indxu:indxu+1),0);
end
end
ind=find(OML>=omega);
if isempty(ind)
rhoxl=nan;
indxl=nan;
else
indxl=ind(end);
if indxl==length(OMU)
rhoxl=rhopsi(end);
else
rhoxl=interp1(OMU(indxl:indxl+1)-omega,rhopsi(indxl:indxl+1),0);
end
end
for n=1:2
OMECE=cost3*btor*n;
ind=find(OMECE>=omega);
if isempty(ind)
rhoece(n)=nan;
indece(n)=nan;
else
indece(n)=ind(end);
if indece(n)==length(OMECE)
rhoece(n)=rhopsi(end);
else
rhoece(n)=interp1(OMECE(indece(n):indece(n)+1)-omega,rhopsi(indece(n):indece(n)+1),0);
end
end
end
%Choice of the X branch cut-off closer to the antenna
[rhox,dump]=max([rhoxl rhoxu]);
indx=[indxl indxu];
indx=indx(dump);
%figure
%if length(RR)>length(psi)
% contour(RR(1:end-1),ZZ(1:end-1),sqrt(psi'),50)
%else
% contour(RR,ZZ,sqrt(psi'),50)
%end
%axis equal
%colorbar
%hold on
if ~isnan(rhox)
if indx==length(OMU)
dpsidr=(psi(end+1-indx,indx)-psi(end+1-indx,indx-1))/(dR);
dpsidz=(psi(end+1-indx+1,indx)-psi(end+1-indx,indx))/(dZ);
else
dpsidr=(psi(end+1-indx,indx+1)-psi(end+1-indx,indx-1))/(2*dR);
dpsidz=(psi(end+1-indx+1,indx)-psi(end+1-indx-1,indx))/(2*dZ);
end
anglex=-pi+theta1+abs(atan2(-dpsidr,dpsidz));
kscattx=-2*k0*sin(anglex);
pathx=norm([RR(indx)-P4(1) ZZ(end+1-indx)-P4(2)]);
%Linear interpolation for the centre of the flux surface
r_centre=(1-rhox)*(raxis-r0cont)+r0cont;
z_centre=z0cont;
curv_fs_x=norm([RR(indx)-r_centre ZZ(end+1-indx)-z_centre]);
%line([RR(end) RR(indx)],[ZZ(1) ZZ(end+1-indx)]);
%plot(RR(indx),ZZ(end+1-indx),'*')
else
kscattx=nan;
anglex=nan;
pathx=nan;
curv_fs_x=nan;
end
rhoo_c=max(rhoo);
if ~isnan(rhoo_c)
if indo==length(OMU)
dpsidr=(psi(end+1-indo,indo)-psi(end+1-indo,indo-1))/(dR);
dpsidz=(psi(end+1-indo+1,indo)-psi(end+1-indo,indo))/(dZ);
else
dpsidr=(psi(end+1-indo,indo+1)-psi(end+1-indo,indo-1))/(2*dR);
dpsidz=(psi(end+1-indo+1,indo)-psi(end+1-indo-1,indo))/(2*dZ);
end
angleo=-pi*theta1+abs(atan2(-dpsidr,dpsidz));
kscatto=-2*k0*sin(angleo);
patho=norm([RR(indo)-P4(1) ZZ(end+1-indo)-P4(2)]);
%Linear interpolation for the centre of the flux surface
r_centre=(1-rhox)*(raxis-r0cont)+r0cont;
z_centre=z0cont;
curv_fs_o=norm([RR(indo)-r_centre ZZ(end+1-indo)-z_centre]);
%line([RR(end) RR(indo)],[ZZ(1) ZZ(end+1-indo)]);
%plot(RR(indo),ZZ(end+1-indo),'r*')
else
kscatto=nan;
angleo=nan;
patho=nan;
curv_fs_o=nan;
end
dump=find(rhox<rhoece);
if ~isempty(dump)
rhox=nan;
pathx=nan;
curv_fs_x=nan;
kscattx=nan;
messagex=strcat(['harmonic ECE resonance ',dump]);
end
dump=find(rhoo<rhoece);
if rhoece>rhoo
rhoo=nan;
patho=nan;
curv_fs_o=nan;
kscatto=nan;
messageo=strcat(['harmonic ECE resonance ',dump]);
end
%Output in a structure
shot.rhox=rhox;
shot.rhoo=rhoo;
shot.rhoece=rhoece;
shot.pathx=pathx;
shot.patho=patho;
shot.anglex=anglex;
shot.angleo=angleo;
shot.curv_fs_x=curv_fs_x;
shot.curv_fs_o=curv_fs_o;
shot.kscattx=kscattx;
shot.kscatto=kscatto;
%plot, uncomment the following to plot results in a figure
%scr=get(0,'screensize');
%a=0.4;
%f(1)=scr(1)+scr(3)*(1-a)/2;
%f(2)=scr(2)+scr(4)*(1-a)/2;
%f(3)=scr(3)*a;
%f(4)=scr(4)*a/2;
%h=figure('position',[f(1) f(2) f(3) f(4)]);
%set(h,'name','Reflectometer cut-off positions','numbertitle','off');
%risp.due=uicontrol('units','normalized','style','text','position',[0.1 0.54 0.4 0.4],'string',...
%'O Reflectometer','Fontweight','demi','fontsize',14,'fontname','times');
%for i=1:length(rhoo)
% if ~isnan(rhoo(i))
% uicontrol('units','normalized','style','text','position',[0.1 0.54-i*0.4 0.4 0.4],'string',...
% strcat([mat2str(omega(i)/2/pi*1e-9),' GHz: ',' rho= ',mat2str(rhoo(i),3),' ','k = ',num2str(kscatto,2),' ','cm-1']));
% else
% uicontrol('units','normalized','style','text','position',[0.1 0.54-i*0.4 0.4 0.4],'string',...
% strcat([mat2str(omega(i)/2/pi*1e-9),' GHz: ','No cut-off']));
% end
%end
%risp.due=uicontrol('units','normalized','style','text','position',[0.5 0.54 0.4 0.4],'string',...
%'X Reflectometer','Fontweight','demi','fontsize',14,'fontname','times');
%for i=1:length(rhox)
% if ~isnan(rhox(i))
% uicontrol('units','normalized','style','text','position',[0.5 0.54-i*0.4 0.4 0.4],'string',...
% strcat([mat2str(omega/2/pi*1e-9),' GHz: ',' rho= ',mat2str(rhox(i),3),' ','k = ',num2str(kscattx,2),' ','cm-1']));
% else
% uicontrol('units','normalized','style','text','position',[0.5 0.54-i*0.4 0.4 0.4],'string',...
% strcat([mat2str(omega/2/pi*1e-9),' GHz: ','No cut-off']));
% end
%end
end