Can the spectral properties of a light source be predicted from the first-order diffraction patterns

detineerlf

detineerlf

Answered question

2022-07-20

Can the spectral properties of a light source be predicted from the first-order diffraction patterns?

Answer & Explanation

Wayne Everett

Wayne Everett

Beginner2022-07-21Added 19 answers

The objective is to find that can the spectral properties of a light source be predicted from the first order diffraction patterns
Yes,
The principal maxima in a grating satisfy the following condition,
( e + d ) sin θ = n λ
Where,
(e+d) is the grating element
n is the order of the maxima
λ is the wavelength of the incident light
The maximum angle of diffraction is 90 hence the maximum possible order is given as follows,
n max = ( e + d ) sin 90 λ = ( e + d ) λ
Here on considering a grating which is having element which is less than twice the wavelength of the incident light then ( e + d ) < 2 λ
Therefore,
n max < 2 λ λ < 2
That is only the first order is possible

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