How to draw contour plot of given function?

sgn=1

m=2

w0 =0.02

[Torsten]

What is i ? The imaginary unit ?

What does isgn(m) mean ?

Why is the function U(s,0) if no s appears in its definition ?

[Athira T Das]

yes

[Athira T Das]

i is the imaginery unit

s=(x0,y0)

sgn(m) is a symbolic function where the value is taken to be one.

Answer 1

[Torsten]

x0 = -0.1:0.001:0.1;
y0 = -0.1:0.001:0.1;
omega = 30;
w0 = 0.02;
m = 2;
[X0,Y0] = meshgrid(x0,y0);
f = @(x0,y0)sinh(omega*(x0+y0)).*exp(-(x0.^2+y0.^2)/w0^2).*(x0+1i*y0).^m;
figure(1)
surf(X0,Y0,abs(f(X0,Y0)))

figure(2)
surf(X0,Y0,real(f(X0,Y0)))

figure(3)
surf(X0,Y0,imag(f(X0,Y0)))