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Rayleigh Criterion Contents: Diffraction patterns The Rayleigh criterion

Rayleigh Criterion Contents: Diffraction patterns The Rayleigh criterion. An opening can make an interference pattern too. Central maximum of one is over minimum of the other. Rayleigh Criterion  = 1.22  b  = Angle of resolution (Rad)  = Wavelength (m)

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Rayleigh Criterion Contents: Diffraction patterns The Rayleigh criterion

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  1. Rayleigh Criterion • Contents: • Diffraction patterns • The Rayleigh criterion

  2. An opening can make an interference pattern too

  3. Central maximum of one is over minimum of the other • Rayleigh Criterion •  = 1.22 • b •  = Angle of resolution (Rad) •  = Wavelength (m) • b = Diameter of circular opening (m) • (Telescope aperture) • the bigger the aperture, the smaller the angle you can resolve.

  4. Rayleigh Criterion •  = 1.22 • b •  = Angle of resolution (Rad) •  = Wavelength (m) • b = Diameter of circular opening (m)

  5. Rayleigh Criterion 1 | 2 TOC

  6. What is the angular resolution of the 100 inch (2.54 m) diameter telescope on the top of Mt Wilson? (use 550 nm as the wavelength) (uh 550 nm = 550 x 10-9 m)  = 1.22 b  = ?,  = 550 x 10-9 m, b = 2.54 m  = 2.64173E-07 W 2.6 x 10-7 radians

  7. What diameter telescope do you need to resolve two stars that are separated by 1.8 x 1011 m, but are 3.0 × 1017 m from us? (use 550 nm as the wavelength) (AU, 32 LY) hint  = s/r = (1.8 x 1011 m)/(3.0 × 1017 m)  = 1.22 b  = 6.00 x 10-7,  = 550 x 10-9 m, b = ? b = 1.12 m W 1.1 m

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