(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

Question: (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

(a) Derive Equation 3 for Gaussian optics from Equation 1 by approximating cos Φ in Equation 2 by its first-degree Taylor polynomial.
(b) Show that if cos Φ is replaced by its third-degree Taylor polynomial in Equation 2, then Equation 1 becomes Equation 4 for third-order optics.

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lo lo 722 li 1 n28i R li Using cos o 1 gives n18o lo R so R 2Rs R cos and l ni So lo R so R 2Rso R R ... View full answer

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