Explain diffraction grating effects.

Welding: Principles and Applications (MindTap Course List)
8th Edition
ISBN:9781305494695
Author:Larry Jeffus
Publisher:Larry Jeffus
Chapter26: Welding Metallurgy
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Explain diffraction grating effects.

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Step 1- Introduction

diffraction grating is an optical device or element which separates (disperses) polychromatic(multi-wavelength) light into its constituent colors (wavelengths). The polychromatic light incident on the grating is dispersed so that each wavelength is reflected from the grating at a slightly different angle. The dispersion arises from the wave-front division and interference of the incident radiation from the periodic structure of the grating.

A diffraction grating consists of a large number of evenly spaced parallel slits that produce an interference pattern similar to but sharper than that of a double slit. In double-slit, there are only two slits by which light passes towards the screen but in the diffraction grating, an infinite number of slits are present by which polychromatic light passes.

Step 2 - Diffraction Grating equation

The dispersion of a grating is governed by the grating equation, usually written as:

                        Mechanical Engineering homework question answer, step 2, image 1

where: n is the order of diffraction,

λ is the diffracted wavelength

d is the grating constant (the distance between successive grooves)

θi is the angle of incidence measured from the normal and

θd is the angle of diffraction measured from the normal.

 

 

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