Refer to Figure 4-20, which shows a Fraunhofer diffraction pattern for a circular aperture. If the aperture is of diameter 150 um and a helium-cadmium laser of wavelength lamda = 442 nm is used to illuminate the aperture, determine (a) an approximate far-field distance from aperture to screen for a Fraunhofer pattern, (b) the half-angle beam divergence of the laser beam in the far field, and (c) the radius of the airy disk on the screen.
Refer to Figure 4-20, which shows a Fraunhofer diffraction pattern for a circular aperture. If the aperture is of diameter 150 um and a helium-cadmium laser of wavelength lamda = 442 nm is used to illuminate the aperture, determine (a) an approximate far-field distance from aperture to screen for a Fraunhofer pattern, (b) the half-angle beam divergence of the laser beam in the far field, and (c) the radius of the airy disk on the screen.
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Refer to Figure 4-20, which shows a Fraunhofer diffraction pattern for a circular aperture.
If the aperture is of diameter 150 um and a helium-cadmium laser of wavelength lamda = 442 nm is used to illuminate the aperture, determine (a) an approximate far-field
distance from aperture to screen for a Fraunhofer pattern, (b) the half-angle beam divergence of the laser beam in the far field, and (c) the radius of the airy disk on the screen.
![Incident
collimated
light
Circular
aperture
> 100 [102]-
Half-angle beam spread to first minimum, 012, is:
1.222
D
Radius of central bright disk (airy disk), R, is:
where wavelength of light,
012-1
R
1.22 λ Z'
D
Screen
Diffraction
pattern
D-diameter of pinhole, and
Zaperture-to-screen distance
Figure 4-20 Fraunhofer diffraction pattern for a circular aperture
Intensity
(4-25)
(4-26)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58a0fa2e-881c-44ed-a2e0-5c6760e443be%2F0edeb2ec-e0c4-4512-a099-85e334532cdb%2F37xuzhr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Incident
collimated
light
Circular
aperture
> 100 [102]-
Half-angle beam spread to first minimum, 012, is:
1.222
D
Radius of central bright disk (airy disk), R, is:
where wavelength of light,
012-1
R
1.22 λ Z'
D
Screen
Diffraction
pattern
D-diameter of pinhole, and
Zaperture-to-screen distance
Figure 4-20 Fraunhofer diffraction pattern for a circular aperture
Intensity
(4-25)
(4-26)
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