Diffraction Grating

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on

Jul 24, 2020, 6:28:07 PM

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Jul 1, 2016, 6:27:54 PM

θ_{m} = \arcsin (\frac{m \cdot λ}{d} - {\sin θ}_{i})

$theta_m = arcsin(( m * lambda )/ d -sin theta_i )$

(m) maxima

$(m)"maxima"$

(λ) Wavelength

$(lambda)"Wavelength"$

(d) distance from center of one slit to other

$(d)"distance from center of one slit to other"$

(θ_{i}) Incident angle

$(theta_i)"Incident angle"$

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8703daff-3fb9-11e6-9770-bc764e2038f2

A Diffraction Grating is an optical component with a periodic structure, which splits and diffracts light into several beams traveling in different directions. The emerging coloration is a form of structural coloration. The directions of these beams depend on the spacing of the grating and the wavelength of the light so that the grating acts as the dispersion element. Because of this, gratings are commonly used in monochromators and spectrometers. The relationship between the grating spacing and the angles of the incident and diffracted beams of light is shown in the following equation: $θ_{m} = \arcsin (\frac{m λ}{d} - {\sin θ}_{i})$ $theta_m=arcsin((mlambda)/d-sintheta_i)$ , where:

$m$ $m$ = maxima
$λ$ $lambda$ = wavelength
$d$ $d$ = distance from center of one slit to other
$θ_{i}$ $theta_i$ = incident angle

Reference

The formula and equation from Wikipedia (https://en.wikipedia.org/wiki/Diffraction_grating).

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Diffraction Grating

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