SOLVED: Question 2: Verify that a paraboloidal wave with the complex envelope A(r) = (Ao/z)e^(-jk(z" y)/22) satisfies the paraxial Helmholtz equation. Show that the wave whose complex envelope is given by A(r) = [Ai/a(e)^(-jk(r" y*)/24(2)], where g(z) = 2 jzo and za is constant, also satisfies the paraxial Helmholtz equation. This wave, called the Gaussian beam, sketch the intensity of the Gaussian beam in the plane zo.
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