MATLAB: How to plot these equations as a 3d surface plot

3d plotssurface

I want to 'superimpose' E1(x, y) = 1.0 exp[-jk0(x cos(169) + y sin(169))] exp(j311) , E2(x, y) = 0.8 exp[-jk0(x cos(213) + y sin(213))] exp(j32) , E3(x, y) = 1.1 exp[-jk0(x cos(87) + y sin(87))] exp(j161) such equations and create a single 3d plot.
where the angles re in degrees and k0=2*pi/.33
any help will be appreciated !

Best Answer

When you use "j" do you mean the imaginary number (sqrt(-1))? If so, these functions have complex values, so how can you have a 3-D plot? Anyway, maybe something like this is what you're looking for:
[x,y] = meshgrid(linspace(-0.5,0.5,201));
k0 = 2*pi/0.33;
E1 = 1.0*exp(-1j*k0*(x*cosd(169) + y*sind(169))).*exp(1j*pi*311/180);
E2 = 0.8*exp(-1j*k0*(x*cosd(213) + y*sind(213))).*exp(1j*pi*32/180);
E3 = 1.1*exp(-1j*k0*(x*cosd(87) + y*sind(87))).*exp(1j*pi*161/180);
surf(x,y,real(E1),'linestyle','none','facealpha',0.4)
hold on
surf(x,y,real(E2),'linestyle','none','facealpha',0.4)
surf(x,y,real(E3),'linestyle','none','facealpha',0.4)
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