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MIT2_71S09_gps5

# MIT2_71S09_gps5 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY 2.710 Optics Spring ’09 Problem Set #5 Posted Monday, March 30, 2009 — Due Wednesday, April 8, 2009 1. Two plane waves of the same wavelength λ are propagating along the directions of wave vectors k 1 , k 2 as shown in the figure below. 1.a) Describe the interference pattern that would be observed on the plane xy . 1.b) Describe the interference pattern that would be observed on a plane parallel to xy but one wavelength λ away towards the positive z direction. 1.c) Describe the interference pattern that would be observed on the plane yz . o y x z k k 30 1 2 45 o o 30 Figure A 2. A plane wave and a spherical wave, both of the same wavelength, are co-propagating as shown in figure B on the next page. 2.a) Describe the interference pattern that would be observed on a plane per- pendicular to the z axis at a distance of 1000 λ away from the origin of the spherical wave. 2.b) Repeat for the plane located 2000 λ away from the origin of the spherical wave.

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