MIT2_71S09_practice3

MIT2_71S09_practice3 - 2.71/2.710 Optics Practice Exam 3 Spring `09 1 A thin bi-convex lens with the same absolute curvature on both faces is used

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2.71/2.710 Optics Practice Exam 3 Spring ‘09 1. A thin bi-convex lens with the same absolute curvature on both faces is used in the two imaging systems shown below. In the Frst, both object and image are in air, whereas in the second the object is “immersed” in a material of index n 0 < n g , where n g is the index of the glass used to make the lens. Compare the two imaging systems in terms of imaging condition and magniFcation. 2. In the conFguration below, lenses L1 and L2 are identical with focal length f , and we consider them to have inFnite aperture. The system is illuminated coherently by an on-axis plane wave. 1
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(a) Write an expression for the Feld at x in terms of the thin complex transparencies g 1 ,g 2 . (b) Consider the speciFc case with f = 10cm and g 1 , g 2 deFned as: If λ = 1 µ m, derive and sketch the intensity at the output plane x . 3. Example: OTF of the Zernicke phase mask The thin phase transparency whose schematic is given below is placed at the ±ourier plane of a unit magniFcation telescope with focal length f = 10cm. What is the optical transfer function for quasi-monochromatic illumination at wavelength λ = 1 µ m? 4. Goodman, Problem 6-10 5. Calculate and sketch the ±ourier transform F ( u ) of the function x ± ² ³ 2 πx ´ ³ 2 πx ´µ f ( x ) = sinc cos + cos b Λ 1 Λ 2 2
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± ² Assume that the following condition holds: 1 1 1 1 1 , , b Λ 1 Λ 2 Λ 1 Λ 2 6. A very large observation screen (e.g., a blank piece of paper) is
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.710 taught by Professor Sebaekoh during the Spring '09 term at MIT.

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MIT2_71S09_practice3 - 2.71/2.710 Optics Practice Exam 3 Spring `09 1 A thin bi-convex lens with the same absolute curvature on both faces is used

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