Reflection Diffraction Gratings

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SUMMARY

The discussion centers on the formula for reflective diffraction given by the lecturer: m λ = d (cos a - cos b), where m represents the order number, λ is the wavelength, d is the slit separation, a is the angle of incidence, and b is the angle of reflection. The participant expresses confusion regarding the derivation and justification of this formula. They reference a Wikipedia article on diffraction, suggesting that the formula simplifies to m λ = d sin θ when the incident angle is zero. This indicates a need for clarity on the relationship between the two equations.

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  • Understanding of diffraction principles
  • Familiarity with the concepts of wavelength and slit separation
  • Knowledge of angles in optics (angle of incidence and angle of reflection)
  • Basic mathematical skills to manipulate trigonometric equations
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JamesGman
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My lecturer has given me this formula for reflective diffraction

m landa = d (cos a - cos b)


where

m is order #
landa is wavelength
d is slit separation
a is angle of inicdence
b is angle of reflection


The problem I have is I wasn't given any justification of this and have no idea where it comes from
 
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