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I Infinitesimal and Snell's law

  1. Mar 6, 2016 #1
    I have light incident from plane with velocity v0 into plane with velocity v1. Obviously, according to Snell's law, v0/v1=sin(theta0)/sin(theta1), where theta0 and theta1 are the angles with regard to the vertical line. How to calculate d(theta0)/d(theta1)? There are probably arguments from geometry and analysis.
    Thanks a lot!
  2. jcsd
  3. Mar 6, 2016 #2


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    Staff: Mentor

    First, for simplicity write v0/v1 = R. Then

    R sin θ1 = sin θ0

    Now take the derivative of each side with respect to θ1. On the right-hand side, θ0 is a function of θ1. What rule does that suggest?
  4. Mar 7, 2016 #3
    Thanks a lot! That was clear!
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