(a) Derive Equation 3 for Gaussian optics from Equation 1 by ap... | Filo
(a) Derive Equation 3 for Gaussian optics from Equation 1 by ap... | Filo
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SOLVED:(a) Derive Equation 3 for Gaussian optics from Equation 1 by approximating cos ϕin Equation 2 by its first-degree Taylor polynomial. (b) Show that if cosϕis 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 ℓ o ^ - 1 and ℓ i ^ - 1 . Also, useϕ≈sinϕ. ]
SOLVED:(a) Derive Equation 3 for Gaussian optics from Equation 1 …
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