1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Parabolic Waves

  1. Mar 3, 2010 #1
    1. The problem statement, all variables and given/known data

    Show that a paraboloidal wave centered at the point P1 (x,y, z1) is converted by a biconvex lens of focal length f into a paraboloidal wave centered about P2 where 1/z1 + 1/z2 = 1/f.

    2. Relevant equations

    3. The attempt at a solution
    if U1(r) = A0/(z-z1) exp(-jk(z-z1)) exp(-jk(x^2 + y^2)/(2(z-z1))

    Now I also know that the transmittance thru a thin lens is given by
    t(x,y) = h_0 exp( jk (x^2+y^2)/2f) where h_0 = exp(-jnk*thickness)

    So I would think that U2(r) = t(x,y) * U1(r)
    Unfortunately, if I multiply the two together I don't really get anything that I would find useful.

    My question is - how do I get z1 and z2 so that I can show that I am satisfying the imaging equation?
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Discussions: Parabolic Waves
  1. Parabolic Bowl (Replies: 2)

  2. Parabolic Coordinates (Replies: 1)

  3. Parabolic mirror (Replies: 1)