Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The diffraction grating analysis in this chapter assumed that the incident light

ID: 1761933 • Letter: T

Question

The diffraction grating analysis in this chapter assumed that the incident light is normal to the grating The figure shows a plane wave approaching a diffraction grating at angle theta. show that the angles theta m tor constructive interference are given by the grating equation where m = 0, plusminus 1, plusminus 2,... Angles are considered positive if they are above the horizontal line, negative if below it. The two first-order maxima m = +1 and m = -1, are no longer symmetrical about the center Find theta 1, and theta_1 for 540 nm light incident on a 630 line/mm grating at theta = 26 degree.

Explanation / Answer

d = (630 line/mm)-1 = 26o. = 540 nm d(sinm + sin) = m m = sin-1(m/d -sin) 1 = sin-1(/d - sin) =-5.6o -1 = sin-1(-/d - sin) =-51.1o