diffraction - Diffraction gratings single slit double slit...

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imaging Waves and Optics 1 Diffraction • gratings • single slit • double slit (revisited) • rectangular slit • circular aperture • diffraction and image resolution imaging Waves and Optics 2 Array of Coherent Sources N identical sources –g r a t i n g – antenna array – crystal atoms separation d phase difference – adjacent sources total field amplitude ( ) δ ) 1 ( 3 2 0 1 + + + + + = N i i i i e e e e E E L θ sin kd = . . . . . . . . .
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imaging Waves and Optics 3 Array of Coherent Sources intensity sharp principal maxima weak subsidiary maxima 0 2 sin 2 I N I m d m = = = λ θ π δ () 2 / sin 2 / sin 2 2 0 N I I = N m 2 = imaging Waves and Optics 4 Grating Spectroscopy minimum wavelength separation – resolving power overlapping orders – free spectral range Nd d m = = sin ( ) + = + = m m d 1 sin mN = min m fsr =
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imaging Waves and Optics 5 Grating Spectroscopy Example: The second order diffracted beam of an incident 632.8 nm laser beam from a grating 3.0 cm wide lies 33º from the incident beam.
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diffraction - Diffraction gratings single slit double slit...

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