How to plot in 2D this equation?

I have an equation and need to plot this like

[KSSV]

What have you attempted?

[Athira T Das]

clc;close all;clear all;
x0 = -5:.01:5;
y0 = x0;
n=10;a=0.1;
w0=0.01;m=0;
r=(sqrt(x0.^2 +y0.^2));
U = (sinh(a.*r./w0)).*exp(-(r.^2/w0^2));
[X0,Y0] = meshgrid(x0,y0);
f = @(x0,y0) ((sinh(r./w0)).^n).*exp(-(r.^2/w0^2)).*((x0+1i.*y0).^m);
surf(X0,Y0,abs(f(X0,Y0)))
shading interp

[Dyuman Joshi]

I think 'r' is not supposed to be a constant in the definition of E and in the function handle, f. Can you clarify this?

Answer 1

[KSSV]

x0 = linspace(-5,5,200);
y0 = x0;
n=10;a=0.1;
w0=0.01;m=0;
[x0,y0] = meshgrid(x0,y0) ; 

r=(sqrt(x0.^2 +y0.^2));
f = @(x0,y0) ((sinh(r./w0)).^n).*exp(-(r.^2/w0^2)).*((x0+1i.*y0).^m);
surf(x0,y0,abs(f(x0,y0)))
shading interp