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677.


Problem 47.19 (RHK)


White light is incident on a grating. We have to show that no matter what the value of the grating spacing d is, the second- and third-order spectra will overlap.


Solution:           Click For PDF Version

The grating equation is

The spread of the visible light in the second- and third-order spectra will therefore be

2nd order

.

3rd order

.

We note that

is not . Therefore, the second and third orders of the white light spectra will overlap irrespective of the grating spacing.