(a) Derive Equation 3 for Gaussian optics from Equation 1 by approximating cos in
Chapter 11, Problem 34(choose chapter or problem)
(a) Derive Equation 3 for Gaussian optics from Equation 1 by approximating cos in Equation 2 by its first-degree Taylor polynomial. (b) Show that if cos is replaced by its third-degree Taylor polynomial in Equation 2, then Equation 1 becomes Equation 4 for third-order optics. [Hint: Use the first two terms in the binomial series for ,o 21 and ,i 21 . Also, use < sin .]
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