414 Diffraction Patterns and PolarizationP38.12θλmin.==yLD122y=××=−−1 22 5 00 100 030 0700 1026173.....afejbgmµy= radius of star-imageL= length of eye= 500 nmD= pupil diameter= half angleP38.13Undergoing diffraction from a circular opening, the beam spreads into a cone of half-anglemin..×FHGIKJ=×−−632 8 10154 1094Dm0.005 00 mrad .The radius of the beam ten kilometers away is, from the definition of radian measure,rbeamm m=min100 1015444and its diameter is drbeambeamm2309..*P38.14When you are at the maximum range, the elves’ eyes will be resolved by Rayleigh’s criterion:dLL=××=×=−−−−min...0100660 10115 10018699344m710 mm1.15 10m*P38.15By Rayleigh’s criterion: min.d1 22, where minis the smallest angular separation of twoobjects for which they are resolved by an aperture of diameter D, dis the separation of the twoobjects, and Lis the maximum distance of the aperture from the two objects at which they can beresolved.
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .