MATLAB: Need help plotting this

helpplotplottingsinewaves

I need help plotting this code so that my plot will look like the discontinuous sine waves (bolded black) in the graph posted below the code (for one unit cell). Right now my plot is showing up blank.
clear all;
format long;
im = sqrt(-1);
CellLength = 1;
ibeta = 1;
%Define materal properties 
CellLength = 1;
layers = 2;
d = [0.4;0.6];
dTotal = d(1,1)+d(2,1);
xc = [0;0.4];
Ef = 12;
pf = 3;
cf = sqrt(Ef/pf);
Em = 1;
pm = 1;
cm = sqrt(Em/pm);
w = 5;
T1 = [cos(.2*w) (1/(6*w))*sin(.2*w); -6*w*sin(.2*w) cos(.2*w)];
T2 = [cos(.6*w) (1/w)*sin(.6*w); -w*sin(.6*w) cos(.6*w)];
T = T2*T1;
Z1 = 6*w;
Z2 = w;
Z = [Z1;Z2];
%Solve eigenvalue problem for k
[V,D] = eig(T);                 %D = eigenvalues, %V = eigenvectors
k1 = log(D(1,1))/(im*dTotal);
k2 = log(D(2,2))/(im*dTotal);
k = [k1;k2];
B1 = [1 1;im*30 -im*30];
B2 = [1 1;im*5 -im*5];
C1a = [1 0;0 1];
C2a = [exp(im*k2*0.4) 0;0 exp(-im*k2*0.4)];
a1 = inv(B1)*V(:,1);
a2 = inv(C2a)*inv(B2)*T1*B1*a1;
for x1 = 0:0.1:0.4
    C1 = @(x1)([exp(im*k1*x1) 0;0 exp(-im*k1*x1)]);
    C1 = C1(x1);
    y1 = @(x1)(B1*C1*a1);
    y1 = y1(x1);
end
for x2 = 0.4:0.1:1
    C2 = @(x2)([exp(im*k2*x2) 0;0 exp(-im*k2*x2)]);
    C2 = C2(x2);
    y2 = @(x2)(B2*C2*a2);
    y2 = y2(x2);
end
plot(x1,real(y1(1,:)))
hold on
plot(x2,real(y2(1,:)))
xlabel('Position, x')
ylabel('Displacement, u')

Best Answer

Two related problems are that the ‘y1’ and ‘y2’ functions do not use their arguments in their calculations. (I would also rename them ‘y1f’ and ‘y2f’ to avoid confusion with your ‘y1’ and ‘y2’ vectors.)
What do you want to do in those functions?
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