Problem 12.11 A diffraction grating has N slits and a grating space f. If 3= af sin 0/A, where is the angle of diffraction, calculate the phase change dß required to move the diffracted light from the principal maximum to the first minimum to show that the half width of the spectral line produced by the grating is given by de= (nN cot), where n is the spectral order. (For N = 14,000, n = 1 and 0= 19°, de 5s of arc.)
Problem 12.11 A diffraction grating has N slits and a grating space f. If 3= af sin 0/A, where is the angle of diffraction, calculate the phase change dß required to move the diffracted light from the principal maximum to the first minimum to show that the half width of the spectral line produced by the grating is given by de= (nN cot), where n is the spectral order. (For N = 14,000, n = 1 and 0= 19°, de 5s of arc.)
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Transcribed Image Text:Problem 12.11
A diffraction grating has N slits and a grating space f. If 3 = af sin 0/A, where is the angle of
diffraction, calculate the phase change dß required to move the diffracted light from the principal
maximum to the first minimum to show that the half width of the spectral line produced by the
grating is given by d0 = (nN cot)-¹, where n is the spectral order. (For N = 14,000, n = 1 and
019°, de 5s of arc.)
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