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F(theta,phi,x,y)=Exp(i*2*Pi*x*Sin(theta)*Cos(phi)) *Exp(i*2*Pi*y*Sin(theta)*Sin(phi));
fld(t,p,dx,dy)=F(t,p,0*dx,0)+F(t,p,1*dx,0)+F(t,p,2*dx,0)+F(t,p,3*dx,0)
+F(t,p,4*dx,0)+F(t,p,5*dx,0)+F(t,p,6*dx,0)+F(t,p,7*dx,0)
+F(t,p,8*dx,0)+F(t,p,9*dx,0)+F(t,p,10*dx,0)+F(t,p,11*dx,0)
+F(t,p,12*dx,0)+F(t,p,13*dx,0);
Plot(20*Log10(Abs(Cos(x)*fld(x,0,1.2,1))),xMin=-90,xMax=90)
Plot(20*Log10(Abs(Cos(x)*fld(x,0,0.72,1))),xMin=-90,xMax=90)
The individual wavefronts are spherical, but they combine (superpose) in front of the antenna to create a plane wave, a beam of radio waves traveling in a specific direction.