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Unformatted text preview: n water = 1 . 33). What is the new Brewsters angle? 3 Propagation Matrices and Ray Tracing 1. Derive the ray matrix for the plane dielectric interface (see Figure 2). Figure 2: A planar dielectric interface 2. Derive the ray matrix for the plane dielectric slab of thickness d (see Figure 3). Figure 3: A planar dielectric slab 3. A ray initially parallel to the optical axis propagates in air through a series of optical elements as shown in Figure 4. What is the distance d 3 at which the ray crosses the optical axis in the slab? Assume that r 1 = 0 . 2 cm, d 1 = 18 cm, and d 2 = 0 . 5 cm. Also assume that the lenses are perfect spherical elements with f 1 =-50 cm and f 2 = 35 cm, that n air = 1 . 0, and that n slab = 2 . 4. 2 Figure 4: An arbitrary optical setup for ray tracing 3...
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- Fall '08