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

2 visualizzazioni (ultimi 30 giorni)
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
  3 Commenti

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KSSV
KSSV il 12 Lug 2022
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 Commenti
SAHIL SAHOO
SAHIL SAHOO il 12 Lug 2022
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 il 12 Lug 2022
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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