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I couldn't understand why this program is not working, is my all variable algorithm is correct?

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SAHIL SAHOO
SAHIL SAHOO 2022-7-12
评论： KSSV 2022-7-12
Ran in:
clc
ti = 0;
tf = 10E-4;
tspan=[ti tf];
y0=[9;9;1;1;0].*10E-2;
I =0:0.1 :10 ;
Vf = zeros(length(I),1) ;
for i = 1:length(I)
[T,Y]= ode45(@(t,y) rate_eq(y,I(i)),tspan,y0);
Vf(i) = (2.*(((mean(Y(:,1).*Y(:,2).*cos(Y(:,5)))).^2 + (mean(Y(:,1).*Y(:,2).*sin(Y(:,5)))).^2).^0.5))/(mean(Y(:,1).^2)+mean(Y(:,2).^2));
end
disp(Vf)
NaN 0.3065 0.3449 0.3443 0.3617 0.3454 0.3619 0.3656 0.3589 0.3651 0.3622 0.3700 0.3750 0.3650 0.3792 0.3500 0.3687 0.3655 0.3635 0.3725 0.3723 0.3652 0.3573 0.3717 0.3687 0.3656 0.3690 0.3614 0.3664 0.3588 0.3699 0.3821 0.3566 0.3635 0.3592 0.3654 0.3608 0.3605 0.3619 0.3630 0.3488 0.3517 0.3569 0.3543 0.3494 0.3595 0.3527 0.3370 0.3590 0.3579 0.3559 0.3545 0.3431 0.3577 0.3573 0.3474 0.3441 0.3554 0.3269 0.3347 0.3372 0.3471 0.3389 0.3368 0.3298 0.3292 0.3219 0.3263 0.3443 0.3386 0.3260 0.3428 0.3151 0.3296 0.3156 0.3189 0.3200 0.3148 0.3134 0.3150 0.3299 0.3187 0.3071 0.3029 0.3232 0.3056 0.2895 0.2976 0.3067 0.2846 0.3003 0.2848 0.2940 0.2972 0.2976 0.3055 0.3036 0.2962 0.2932 0.2946 0.3023
function dy = rate_eq(y,I)
dy = zeros(5,1);
o = 2E5; %detuning frequency
tc = 30E-9; %photon cavity lifetime
tf = 230E-6; %fluorescence lifetime
a1 = 0.1; %roundtrip loass
a2 = 0.1;
P1 = 0.2; %pumpstrength
P2 = 0.2;
kc = 3E-3; %critical coupling strength
s = 0.17;
k = s.*kc;
%amplitude equation
dy(1) = ((y(3) - a1) * y(1) + k * y(2) * cos(y(5))) ./ tc;
dy(2) = ((y(4) - a2) * y(2) + k * y(1) * cos(y(5))) ./ tc;
%gain medium strength
dy(3) = (P1 - y(3) * (((abs(y(1)))^2 .*I) + 1)) / tf;
dy(4) = (P2 - y(4) * (((abs(y(2)))^2 .*I) + 1)) / tf;
%phase differential equation
dy(5) = o - (k / tc) * (((y(1) ./ y(2)) + (y(2) ./ y(1))) * sin(y(5)));
end
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采纳的回答

KSSV
KSSV 2022-7-12
You need to interchange the variables to the function rate_eq. Try this:
ti = 0;
tf = 10E-4;
tspan=[ti tf];
y0=[9;9;1;1;0].*10E-2;
[T,Y]= ode45(@(t,y) rate_eq(t,y),tspan,y0);
I =0:0.1 :10 ;
Vf = zeros(length(I),1) ;
for i = 1:length(I)
[T,Y]= ode45(@(t,y) rate_eq(I(i),y),tspan,y0);
Vf(i) = (2.*(((mean(Y(:,1).*Y(:,2).*cos(Y(:,5)))).^2 + (mean(Y(:,1).*Y(:,2).*sin(Y(:,5)))).^2).^0.5))/(mean(Y(:,1).^2)+mean(Y(:,2).^2));
end
disp(I)
function dy = rate_eq(I,y)
dy = zeros(5,1);
o = 2E5; %detuning frequency
tc = 30E-9; %photon cavity lifetime
tf = 230E-6; %fluorescence lifetime
a1 = 0.1; %roundtrip loass
a2 = 0.1;
P1 = 0.2; %pumpstrength
P2 = 0.2;
kc = 3E-3; %critical coupling strength
s = 0.17;
k = s.*kc;
%amplitude equation
dy(1) = ((y(3) - a1) * y(1) + k * y(2) * cos(y(5))) ./ tc;
dy(2) = ((y(4) - a2) * y(2) + k * y(1) * cos(y(5))) ./ tc;
%gain medium strength
dy(3) = (P1 - y(3) * (((abs(y(1)))^2 .*I) + 1)) / tf;
dy(4) = (P2 - y(4) * (((abs(y(2)))^2 .*I) + 1)) / tf;
%phase differential equation
dy(5) = o - (k / tc) * (((y(1) ./ y(2)) + (y(2) ./ y(1))) * sin(y(5)));
end
  2 个评论
SAHIL SAHOO
SAHIL SAHOO 2022-7-12
would you explain me, if I change my dy =zeros(5,1) to dy = zeros(4,1) still it's working, why so?
I have 5 coupled differential equation this shouldn't happen right?
KSSV
KSSV 2022-7-12
Though you define,dy = zeros(4,1)...you are defining
dy(5) = o - (k / tc) * (((y(1) ./ y(2)) + (y(2) ./ y(1))) * sin(y(5)));
so your dy is 5x1.

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