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

detineerlf
2022-07-20
Answered

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

You can still ask an expert for help

Wayne Everett

Answered 2022-07-21
Author has **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)\mathrm{sin}\theta =n\lambda $

Where,

(e+d) is the grating element

n is the order of the maxima

$\lambda $ is the wavelength of the incident light

The maximum angle of diffraction is ${90}^{\circ}$ hence the maximum possible order is given as follows,

${n}_{\text{max}}=\frac{(e+d)\mathrm{sin}{90}^{\circ}}{\lambda}=\frac{(e+d)}{\lambda}$

Here on considering a grating which is having element which is less than twice the wavelength of the incident light then $(e+d)<2\lambda $

Therefore,

${n}_{\text{max}}<\frac{2\lambda}{\lambda}<2$

That is only the first order is possible

Yes,

The principal maxima in a grating satisfy the following condition,

$(e+d)\mathrm{sin}\theta =n\lambda $

Where,

(e+d) is the grating element

n is the order of the maxima

$\lambda $ is the wavelength of the incident light

The maximum angle of diffraction is ${90}^{\circ}$ hence the maximum possible order is given as follows,

${n}_{\text{max}}=\frac{(e+d)\mathrm{sin}{90}^{\circ}}{\lambda}=\frac{(e+d)}{\lambda}$

Here on considering a grating which is having element which is less than twice the wavelength of the incident light then $(e+d)<2\lambda $

Therefore,

${n}_{\text{max}}<\frac{2\lambda}{\lambda}<2$

That is only the first order is possible

asked 2022-05-10

Why does total internal reflection occur in a bicycle reflector?

asked 2022-07-22

Does diffraction of a coherent laser beam affect its polarization state?

asked 2022-07-18

A double-slit system with individual slit widths of 0.0250 mm and a slit separation of 0.150 mm is illuminated with 480 nm light directed perpendicular to the plane of the slits. What is the number of complete bright fringes appearing between the two first order minima of the diffraction pattern?

asked 2022-07-15

If the width of an aperture is 0.Imm and the distance from the central fringe to the first fringe (z)is 5mm and the distance between the aperture and the screen (L)is 93cm determine the wavelength of light source used ?

asked 2022-05-26

Point charges q= 50 μC and 92=-25C are

placed 1.0 m apart. What is the force on a third charge 93= 20 μC placed midway between 1 and 4₂?

asked 2022-05-13

How does the index of refraction relate to speed of light?

asked 2022-05-17

How do fiber optics work?