Consider Fraunhofer diffraction patterns produced by a circular aperture. (a) Verify that the peak irradiance Iı of the first “ring" in the diffraction pattern is I1/Io = 0.0175. (b) A telescope having an objective lens with a diameter of 10.0 cm will be used to view two equally bright small sources of 550-nm light. Use Rayleigh's criterion. Determine the angular separation of the sources if they are just resolvable. How far apart can they be at a distance of 500 km?

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Consider Fraunhofer diffraction patterns produced by a circular aperture.
(a) Verify that the peak irradiance I, of the first “ring" in the diffraction pattern is I/Io = 0.0175.
(b) A telescope having an objective lens with a diameter of 10.0 cm will be used to view two equally
bright small sources of 550-nm light. Use Rayleigh's criterion. Determine the angular separation of the
sources if they are just resolvable. How far apart can they be at a distance of 500 km?
Transcribed Image Text:Consider Fraunhofer diffraction patterns produced by a circular aperture. (a) Verify that the peak irradiance I, of the first “ring" in the diffraction pattern is I/Io = 0.0175. (b) A telescope having an objective lens with a diameter of 10.0 cm will be used to view two equally bright small sources of 550-nm light. Use Rayleigh's criterion. Determine the angular separation of the sources if they are just resolvable. How far apart can they be at a distance of 500 km?
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