Why isn't my animation of time varying isosurfaces animating, it seems to only capture one frame.
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My aim is to create an animation of time varying isosurfaces corresponding to the poynting vector isosurfaces of a radiating electric dipole. Here is my code thus far
%1) Define grid
n = 100;
rmax = 2400;
prex = linspace(-rmax,rmax,n);
prey = linspace(-rmax,rmax,n);
prez = linspace(-rmax,rmax,n);
x = (nonzeros(prex))';
y = (nonzeros(prey))';
z = (nonzeros(prez))';
[X,Y,Z] = meshgrid(x,y,z);
%2) Define dipole moment magnitude, dipole moment and other constants
pmag = 0.001*(x(n-1)-x(n-2));
dir = [0,0,1];
p = pmag*dir;
k = 0.001*5*pi;
epsilon = 8.85*(10^(-12));
c = 3*((10)^(8));
c1 = (4*pi)^(-1);
c2= (4*pi*epsilon)^(-1);
%3) Probably should create an "r" vector/array and related r vector/array
r = sqrt(X.^2 + Y.^2 + Z.^2);
rnegative1 = r.^(-1);
rnegative2 = r.^(-2);
rnegative3 = r.^(-3);
rnegative4 = r.^(-4);
rnegative5 = r.^(-5);
%4) Need to define more constants
mu = (4*pi)*((10)^(-7));
omega = k*sqrt(mu*epsilon);
%5) Need to create a vector of times for which we want to create an animation, say one period
T = 2*pi*((omega)^(-1));
t = linspace(0,T,n);
%6) Define spatial dependence of H
Hx = c*c1*exp(1i*k*r).*rnegative4.*((k^2)*(r.^2) + 1i*k*r).*(p(3)*Y - p(2)*Z);
Hy = c*c1*exp(1i*k*r).*rnegative4.*((k^2)*(r.^2) + 1i*k*r).*(p(1)*Z - p(3)*X);
Hz = c*c1*exp(1i*k*r).*rnegative4.*((k^2)*(r.^2) + 1i*k*r).*(p(2)*X - p(1)*Y);
%7) Define spatial dependence of E1
E1x = (k^2)*c2*exp(1i*k*r).*rnegative3.*(p(1)*p(3)*Z - (p(3)^2)*X - (p(2)^2)*X + p(1)*p(2)*Y);
E1y = (k^2)*c2*exp(1i*k*r).*rnegative3.*(p(1)*p(2)*X - (p(1)^2)*Y - (p(3)^2)*Y + p(2)*p(3)*Z);
E1z = (k^2)*c2*exp(1i*k*r).*rnegative3.*(p(2)*p(3)*Y - (p(2)^2)*Z - (p(1)^2)*Z + p(1)*p(3)*X);
%8) Define spatial dependence of E2
E2x = 3*c2*exp(1i*k*r).*rnegative5.*(ones(size(r)) - 1i*k*r).*(p(1)*X.^2 + p(2)*X.*Y + p(3)*X.*Z);
E2y = 3*c2*exp(1i*k*r).*rnegative5.*(ones(size(r)) - 1i*k*r).*(p(1)*X.*Y + p(2)*Y.^2 + p(3)*Y.*Z);
E2z = 3*c2*exp(1i*k*r).*rnegative5.*(ones(size(r)) - 1i*k*r).*(p(1)*X.*Z + p(2)*Y.*Z + p(3)*Z.^2);
%9) Define spatial dependence of E3
E3x = -c2*rnegative3.*exp(1i*k*r).*(ones(size(r)) - 1i*k*r).*rnegative3*p(1);
E3y = -c2*rnegative3.*exp(1i*k*r).*(ones(size(r)) - 1i*k*r).*rnegative3*p(2);
E3z = -c2*rnegative3.*exp(1i*k*r).*(ones(size(r)) - 1i*k*r).*rnegative3*p(3);
%10) Create the entire electric field
Ex = E1x + E2x + E3x;
Ey = E1y + E2y + E3y;
Ez = E1z + E2z + E3z;
%11) Create the color scheme for level sets
Scontx = real(Ey).*real(Hz) - real(Ez).*real(Hy);
Sconty = real(Ez).*real(Hx) - real(Ex).*real(Hz);
Scontz = real(Ex).*real(Hy) - real(Ey).*real(Hx);
Scontmag = sqrt(Scontx.^2 + Sconty.^2 + Scontz.^2);
Srangemax = max(Scontmag,[],'all');
Srangemin = min(Scontmag,[],'all');
Srange = linspace(Srangemin,Srangemax,100);
Srange(Srange == min(Srange)) = [];
%12) Create a for loop animation.
for i1 = 1:size(t)
clf
tt=t(i1)*ones(size(x));
Ext = Ex.*exp(-1i*omega*tt);
Eyt = Ey.*exp(-1i*omega*tt);
Ezt = Ez.*exp(-1i*omega*tt);
Hxt = Hx.*exp(-1i*omega*tt);
Hyt = Hy.*exp(-1i*omega*tt);
Hzt = Hz.*exp(-1i*omega*tt);
Sx2 = real(Eyt).*real(Hzt) - real(Ezt).*real(Hyt);
Sy2 = real(Ezt).*real(Hxt) - real(Hxt).*real(Hzt);
Sz2 = real(Ext).*real(Hyt) - real(Eyt).*real(Hxt);
Smag2 = sqrt(Sx2.^2 + Sy2.^2 + Sz2.^2);
% Now the difficult (or rather the awkward) part, creating contour levels through arrayfun
arrayfun(@(LEVEL) isosurface(X,Y,Z,Smag2,LEVEL), Srange);
xlabel('x')
ylabel('y')
zlabel('z')
% force matlab
movieVector(i1) = getframe;
end
myWriter = VideoWriter('ThreeDdipolenoslices','MPEG-4');
myWriter.FrameRate = 20;
% Open the Video Writer object write the movie and close the file
open(myWriter);
writeVideo(myWriter,movieVector);
close(myWriter);
Smag2 is changing and is defined within the for loop (for t = time) and yet it doesn't seem to be changing at all in the plot results. I get one still frame. Furthermore, for some reason it shrinks my axis from (-2400,2400) to (-200,200).
It has to be something to do with Smag2, I must have inadvertantly made it static. At the very least I would expect the isosurface to change colors even if it's not moving.
I ultimately want to take slices of the varying isosurfaces and create something like the following
but instead of manually computing each cross section I'd like to just take slices.
Any help is greatly appreciated!
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