he figure shows light of wavelength λ incident at angle φ on a reflection grating of spacing d. We want to find the angles θm at which constructive interference occurs. a. The figure shows paths 1 and 2 along which two waves travel and interfere. Find an expression for the path-length difference ∆r = r2 − r1. b. Show that the zeroth-order diffraction is simply a “reflection.” That is θo = φ. c. Light of wavelength 500 nm is incident at φ = 40o on a reflection grating having 700 reflection lines/mm. Find all angles θm at which light is diffracted. Negative values of θm are interpreted as an angle left of the vertical. d. Draw a picture showing a single 500 nm light ray incident at θm = 40o and showing all the diffracted waves at the correct angles.
The figure shows light of wavelength λ incident at angle φ
on a reflection grating of spacing d. We want to find the
angles θm at which constructive interference occurs.
a. The figure shows paths 1 and 2 along which two waves
travel and interfere. Find an expression for the path-length
difference ∆r = r2 − r1.
b. Show that the zeroth-order diffraction is simply a
“reflection.” That is θo = φ.
c. Light of wavelength 500 nm is incident at φ = 40o on a
reflection grating having 700 reflection lines/mm. Find all
angles θm at which light is diffracted. Negative values of θm
are interpreted as an angle left of the vertical.
d. Draw a picture showing a single 500 nm light ray incident
at θm = 40o and showing all the diffracted waves at the
correct angles.
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