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The Rayleigh criterion

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Presentation on theme: "The Rayleigh criterion"— Presentation transcript:

1 The Rayleigh criterion
Contents: Diffraction patterns The Rayleigh criterion

2 An opening can make an interference pattern too

3 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. Central maximum of one is over minimum of the other

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

10 Rayleigh Criterion 1 | 2 TOC

11 What is the angular resolution of the 100 inch (2
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  = E-07 W 2.6 x 10-7 radians

12 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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