Problem in integration in an array inside integrand
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Anil Kumar
il 8 Giu 2019
Commentato: Star Strider
il 10 Giu 2019
I am getting the error named "Attempted to access R(2); index out of bounds because numel(R)=1." in the below code. can anyone help me? below is my code.
Nd = 1e24;
N = 100;
e = 12*1e-12;
% R = [10e-9,20e-9,30e-9,40e-9];
R = [1e-9,2e-9,3e-9,4e-9]
Et_Ef = -1.01*1.6*1e-19;
K = 1.3807e-23;
T = linspace(450,600,N);
Nt = linspace(1e14,1e17,N);
q = 1.6e-19;
Ld = 1.97*10e-9
for j = 1:numel(R)
for i= 1:N
funct = @(R,phi0) (4*pi*(Nd-Nd*exp(-phi0))*R.^2);
equation = @(phi0)integral(@(R)funct(R,phi0),0,R(j))-(4*pi*R(j)^2*Nt(i)/(1+2*exp((Et_Ef + K.*T(i) .*(phi0 + (1/6)*(R(j)/Ld)^2))./(K.*T(i)))));
%equation = @(phi0)integral(@(r)funct(r,phi0),0,R)-(4*pi*R^2*Nt(i)/(1+2*exp((Et_Ef + K*T *(phi0 + (1/6)*(R/Ld)^2))/(K*T))));
phi0val(j,i) = fzero(equation,40);
funneff= @(R)1./(4/3.*pi.*R(j).^3).*(Nd.*exp(-phi0val(j,i))).*R(j).^2
neff(j,i)= (1./(4./3.*pi.*R(j).^3)).*4.*pi.*integral(funneff,0,R(j),'Arrayvalued',true)
end
end
plot(neff(1,:),phi0val(1,:))
plot(neff(2,:),phi0val(2,:))
plot(neff(2,:),phi0val(2,:))
plot(neff(2,:),phi0val(2,:))
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Star Strider
il 8 Giu 2019
Modificato: Star Strider
il 8 Giu 2019
You are using ‘R’ in too many contexts. It is a vector, however it is also an argument to your anonymous functions, and anonymous functions pick up variables from the workspace. Changing the anonymous functions argument ‘R’ to ‘Rv’ allows your code to run:
neff = zeros(numel(R),N);
phi0val = zeros(numel(R),N);
for j = 1:numel(R)
for i= 1:N
funct = @(Rv,phi0) (4*pi*(Nd-Nd*exp(-phi0))*Rv.^2);
equation = @(phi0)integral(@(Rv)funct(Rv,phi0),0,R(j))-(4*pi*R(j)^2*Nt(i)/(1+2*exp((Et_Ef + K.*T(i) .*(phi0 + (1/6)*(R(j)/Ld)^2))./(K.*T(i)))));
%equation = @(phi0)integral(@(r)funct(r,phi0),0,R)-(4*pi*R^2*Nt(i)/(1+2*exp((Et_Ef + K*T *(phi0 + (1/6)*(R/Ld)^2))/(K*T))));
phi0val(j,i) = fzero(equation,40);
funneff= @(Rv)1./(4/3.*pi.*Rv.^3).*(Nd.*exp(-phi0val(j,i))).*Rv.^2;
neff(j,i)= (1./(4./3.*pi.*R(j).^3)).*4.*pi.*integral(funneff,0,R(j),'Arrayvalued',true);
end
end
figure
hold all
for k = 1:size(neff,1)
plot(neff(k,:),phi0val(k,:))
end
hold off
expstr = @(x) [x(:).*10.^ceil(-log10(abs(x(:)))) floor(log10(abs(x(:))))];
Rexp = expstr(R)
hl = legend(sprintfc('$R\\ =\\ %2d\\times10^{%d}$',Rexp));
hl.Interpreter = 'latex';
Check to be certain this does what you want to to do.
The Plot —
EDIT — Added plot image.
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