F11Physics1CLec27C

F11Physics1CLec27C - Physics 1C Lecture 27C"You cannot trust your eyes if your imagination is out of focus"-Mark Twain Outline Resolution

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Unformatted text preview: Physics 1C Lecture 27C "You cannot trust your eyes if your imagination is out of focus." --Mark Twain Outline Resolution Diffraction grating X-ray diffraction and crystal structures Holography Resolution If viewed through a slit of width, a , and applying Rayleigh’s criterion, the limiting angle of resolution is: For the images to be resolved, the angle subtended by the two sources at the slit must be greater than θ min . For a circular opening of diameter D : Resolution: Example Charon, the moon of Pluto, was discovered in 1978. On a photograph from an Earth- based telescope, Charon appears as a subtle bump on the edge of Pluto. On a Hubble Space Telescope photo (1994), Pluto and Charon are clearly resolved. Atmospheric turbulence smears the image on the 1978 photo. Diffraction Grating The diffraction grating consists of many equally spaced parallel slits. A typical grating contains several thousand lines per centimeter. You will again get an interference pattern that consists of bright and dark spots. The bright spots will be sharper than in the double slit case. (Action Figure) Diffraction Grating The condition for maxima is: where m is 0, ±1, ±2, ... A central maximum is defined and the angle θ is still measured with respect to the centerline. The dark spots will be wider than in the double slit case. d sin bright m Diffraction Grating Spectrometer The collimated beam is incident on the grating The diffracted light leaves the gratings and the telescope is used to view the image....
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This note was uploaded on 12/11/2011 for the course PHYS 1C taught by Professor Smith during the Fall '07 term at UCSD.

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F11Physics1CLec27C - Physics 1C Lecture 27C"You cannot trust your eyes if your imagination is out of focus"-Mark Twain Outline Resolution

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