How to integral function and plot it
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Hi, Could you help me how to integral function "fun" and get the q, then plot dL vs q. The code as below. Thanks a lot.
clear all; close all; clc
Gamma = 1;
kappa = 0.75*Gamma;
Dp = 0*Gamma;
Dc = 0*Gamma;
Finese = 350;
OD0 = 0.025;
OD = (Finese/pi)*OD0;
G = OD;
Oc = 2*Gamma;
Op = 0.00001*Gamma;
T0 = 1;
rR = 0*Gamma;
dL = linspace(-6*Gamma,6*Gamma,2000);
kappat = -i*kappa/2+Dp-dL-df;
Gammat = -i*Gamma/2-dL-df;
gammat = -i*rR/2+Dc-dL-df;
Gammaf = 0.00001*Gamma;
A = -4*gammat.*Gammat;
T = T0*(kappa/2)^2.*...
abs((A+Oc^2)./((G^2*gammat)+(kappat.*(A+Oc^2)))).^2;
fun = @(df) (exp(-(df^2/Gammaf^2))/(sqrt(pi)*Gammaf))*T;
q = integral(fun,-Inf,Inf)
figure(1)
plot(dL, q)
xlabel ('dL')
ylabel('Transmission signal')
2 个评论
Sergey Kasyanov
2021-6-21
编辑：Sergey Kasyanov
2021-6-21
Are kappat, Gammat, gammat functions of df?
What is dL? Why is it array?
Tina Hsiao
2021-6-23
采纳的回答
‘kappat, Gammat, gammat are functions of df.’
I created them (as well as ‘A’, ‘T’, and ‘fun’) as anonymous functions of ‘df’ to define them as such.
Check this to be certain it prooduces the desired result, otherwise make necessary corrections (since I do not understand what this code does) —
Gamma = 1;
kappa = 0.75*Gamma;
Dp = 0*Gamma;
Dc = 0*Gamma;
Finese = 350;
OD0 = 0.025;
OD = (Finese/pi)*OD0;
G = OD;
Oc = 2*Gamma;
Op = 0.00001*Gamma;
T0 = 1;
rR = 0*Gamma;
dL = linspace(-6*Gamma,6*Gamma,2000);
kappat = @(df) -i*kappa./2+Dp-dL-df;
Gammat = @(df) -i*Gamma./2-dL-df;
gammat = @(df) -i*rR./2+Dc-dL-df;
Gammaf = 0.00001*Gamma;
A = @(df) -4*gammat(df).*Gammat(df);
T = @(df) T0*(kappa/2)^2.*...
abs((A(df)+Oc^2)./((G^2*gammat(df))+(kappat(df).*(A(df)+Oc^2)))).^2;
fun = @(df) (exp(-(df.^2./Gammaf^2))./(sqrt(pi)*Gammaf)).*T(df);
q1 = integral(fun,-Inf,0, 'ArrayValued',1);
q2 = integral(fun,0,Inf, 'ArrayValued',1);
q = q1 + q2;
figure(1)
plot(dL, q)
xlabel ('dL')
ylabel('Transmission signal')
Since ‘q’ as originally defined is uniformly 0, I broke it into two regions and added them.
.
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