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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY 2.71 Optics Spring 09 Problem Set #8 Posted Wednesday, April 29, 2009 Due Wednesday, May 6, 2009 1. In a diffractionlimited imaging system, the contrast is measured at spatial fre- quency 25mm- 1 and it is found to be 68.75%. 1.a) What is the contrast at spatial frequency 50mm- 1 ? 1.b) Is the spatial frequency 50mm- 1 visible through this imaging system under spatially coherent illumination consisting of a plane wave onaxis? 1.c) Does the answer to the previous question change if the onaxis constraint is relaxed, i.e. if we allow offaxis plane wave illumination? 2. The modulation transfer function (MTF) of an optical system is given in the figure below. The system is illuminated with quasi-monochromatic, spatially incoherent light. The intensity pattern at the input plane of the system is given by I ( x ) = 1 2 1 + 1 2 cos 2 x 40 m + 1 2 cos 2 3 x 40 m-100-50 50 100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 u [cycles/mm] MTF 2.a)2....
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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.
- Spring '09