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Modern Optics Homework 6 11/23/2012 Dr. Lin, Shi Mu 1. Problem 6.9 Find the diameter of the Airy disk formed by a distant star at the image plane of a telescope that uses a 25 cm wide objective mirror of focal length 2.5m. Assume an average wavelength of 550 nm. Answer 2. Problem 6.10 Plot the Fraunhofer irradiance distribution of a double slit aperture with d = 2b. Repeat for d = 40b. Answer 1 3. Problem 6.11 The missing orders in a double slit diffraction pattern occur when condition for interference maximum coincides with a zero of the ( sinβ 2 β ) envelope. Show that missing orders occur when the ratio of slit spacing to slit width is an integer, and that this integer determines the order number of the first missing maximum. Answer 4. Problem 6.12 If the spacing between the missing orders of Figure 6.13 is 6.00 cm and the observation screen is 2.00m from the aperture, determine the slit spacing and slit width. Assume an illumination wavelength of 633 nm. Answer 2