Problem Set 2: Lenses#
Using the conjugate equation for a single spherical surface,
(1)#\[\begin{equation} \frac{n_2 - n_1}{R} = \frac{n_1}{S_1} + \frac{n_2}{S_2} \end{equation}\]derive the conjugate equation for a thin lens,
(2)#\[\begin{equation} \frac{n_2 - n_1}{n_1} \left( \frac{1}{R_1} - \frac{1}{R_2} \right) = \frac{1}{S_1} + \frac{1}{S_2} \end{equation}\]Book Problem 3.4
Book Problem 3.7
Book Problem 3.8
A 4 inch tall object is to be projected onto a screen that is 10 feet away from a thin lens. Design an optical system that consists of a single lens that produces an image that is 24 inches tall. (It doesn’t matter if the image is inverted or not.) If the lens has only one surface that is curved (the other surface is flat), what is the curvature of the lens if the refractive index of the glass is n=1.5?
Solutions
Problem 1
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Problem 2
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Problem 3
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Problem 4
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Problem 5
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