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Chapter 20: Q10P (page 525)

Show that a grating with 103 grooves/cm provides a dispersion of 5.88 per mm of wavelength if n 5 1 and f 5 108 in Equation 20-4.

Short Answer

Expert verified

0.102radians/μm.180°πradians=5.8°/μm

Step by step solution

01

Step: 1 Define grating:

Diffraction grating is a series of clusters used to separate an incident wave into its wavelength by directly separating the magnitude of the diffraction.

02

Step: 2 Calculating the dispersion of wavelength:

The 103 grooves/cm is:

d=10-5m=10μm

Dispersion is:

nd.cosϕ=110.cos10°=0.102radians/μm0.102radians/μm.180°πradians=5.8°/μm

The solution is 0.102radians/μm.180°πradians=5.8°/μm

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