- #1

semc

- 368

- 5

## Homework Statement

Show that the paraboloidal wave centered at the point z

_{1}is converted by a lens of focal length f into a paraboloidal wave centered about z

_{2}where 1/z

_{1}+1/z

_{2}=1/f

## Homework Equations

Equation of paraboloidal wave and transmittance through a thin lens.

## The Attempt at a Solution

I multiplied the paraboloidal wave and the transmittance through the thin lens and I got

U(r)=Aexp(-jnkd)exp[jk([itex]\frac{x^2+y^2}{2f}[/itex]-z)]

But how do I continue to show that this paraboloidal wave is centered at f?