mprovod Posted February 24, 2008 Share Posted February 24, 2008 A grating with N slits of spacing d is iluminated normally with monochromatic light of wavelength λ, and the p-th order principal maximum is observed at an angle Өp. The intensity at angle Ө is given by: I(α) = sin²(Nα/2)/sin²(α/2) where α=(2Π/λ)d*sin(Ө) Show from this equation that adjacent minima fall at angles Өp+αӨp and α-Өp, where αӨp = λ/(Ndcos(Өp)) Could someone please help me? I tried to differentiate the Intensity equation w.r.t. α to find what the values of the minima and maxima are, but then realised, that the separation of minima from maxima must depend on the angle Ө. I don't know how to approach this further. Link to comment Share on other sites More sharing options...
Klaynos Posted February 24, 2008 Share Posted February 24, 2008 how about differentiating wrt theta? Link to comment Share on other sites More sharing options...
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