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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY 2.71 Optics Spring 09 Problem Set #2 Posted Feb. 17, 2009 Due Wednesday, Feb. 25, 2009 1. Wiper speed control Design an optical system which can detect the amount of water present on a cars windshield (see the schematic above) to adjust the wiper speed. Use indices of refraction n glass = 1 . 5 ,n water = 1 . 33 ,n air = 1 . 0. Rain Drops Windshield 2. Telescope with infinite conjugates A parallel ray bundle of width a 1 and propagation angle 1 is incident from the left on a two-lens system composed of two positive lenses L1 (focal length f 1 > 0) and L2 (focal length f 2 > 0) as shown below. d 1 2 2 a a 1 L1 L2 a) Show that if the separation d between the two lenses equals the sum f 1 + f 2 of focal lengths, then a parallel ray bundle emerges from the system. b) What is the optical power of this composite optical system? What is the effective focal length? c) What are the propagation angle 2 and width a 2 of this outgoing ray bundle?of this outgoing ray bundle?...
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- Spring '09