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A portion of a university physics lecture on the topics of diffraction, including single-slit diffraction, two-slit interference, and diffraction on circular apertures. The text also covers the rayleigh criterion and the separation between minima for single-slit and circular apertures. Not for examination purposes but serves as a reminder and includes derivations using phasors.
Typology: Study notes
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!! Diffraction !! Reminder of Single-slit Diffraction !! Reminder of Two-slit Interference !! Double-Slit Diffraction !! Diffraction on Circular Apertures !! The Rayleigh Criterion
"!The slit is not a point source! Interference The text also offers a derivation using phasors. Not to be examed but please read.
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#y $=2%/& ysin! @y" E 0 y
sin( " / 2 ) " / 2
2 " )
D sin , D D D D D Separation between minima = !
path length difference ' =dsin! ~ d! ~ d y/l
d
I = Io cos^2
d sin +
sin( " / 2 ) " / 2
2 " )
D sin , !
sin( " / 2 ) " / 2
2 cos^2
"!Light through apertures will produce diffractive patters depending on their shape. For circular apertures the diffractive patters is made of concentric rings Separation between minima = !
two separate beams each smeared due to diffraction Rayleigh’s Criterion Separable Minimally separable Not separable #!Single slit: !min = &/D #!Circular opening: !min = 1.22 &/D