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Reducing spherical aberration

  1. May 25, 2009 #1
    1. The problem statement, all variables and given/known data
    - single lens
    - f=50cm
    - refractive index n=1.53
    - if object placed 70cm, find the radii of curvature for the two surfaces of the lens which would minimise spehrical aberration


    2. Relevant equations

    what i got from my notes

    refraction at a spherical surface

    (n1/so+n2/si)=((n2-n1)/R)+h²[(n1/2so)(1/so+1/R)²+(n2/2si)(1/R-1/si)²]

    this is after using the third order theory
    3. The attempt at a solution

    i tried to make another equation for the other side of the refractive surface and then added them together,
    and also, tried to use r= infinity because i read that plano-convex can reduce SA.

    but still i could get it on what kind of value that could show me when SA is minimised. and also, i couldnt get rid value for h, which the value is not given.

    is minimising SA is to get the complete thins lens equation from the third order theory??

    thank you
     
  2. jcsd
  3. May 25, 2009 #2
    i found the answer..
    damn, i lost one piece of my note.. no wonder i was lost.

    so, what i did i just used bending factor to get the radii.
    i'll try to post up the answer then i got back home
    thanks
     
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