Plot 3D phase and magnitude plots

[Dustinsfl]

How would I plot a 3D phase and magnitude plot for the function \(z^{1/3}\) in Matlab?

n = 3;                         % number of roots
m = 18;                        % grid number              
r = (0:m)'/m;                  % radius vector
theta = pi*(-n*m:n*m)/m;       % angle vector

z = r*exp(1i*theta);                         % z = re^(itheta)
x = real(z);                                 % real z
y = imag(z);                                 % imaginary z
w = r.^(1/n)*exp(1i*theta/n);                % w = z^(1/3)
u = real(w);                                 % real w 
v = imag(w);                                 % imaginary w

For the magnitude plot and phase, I used

surf(x, y, abs(w))     % mag
surf(x, y, angle(w))   % phase

Are these correct?

 

[Valkarie]

Yes, these commands are correct for plotting a 3D phase and magnitude plot for the function z^(1/3) in Matlab.