Diffraction through a ring aparture

In summary, The conversation discusses computing the diffraction pattern through a ring aperture with internal radius a and external radius b, using a monochromatic, plane wave that is vertical to the ring plane. The second part of the conversation addresses how the diffraction expression changes as a approaches b. Finally, a lens with specific parameters is introduced and the intensity at the lens focus plane is to be drawn according to the first and second computations, using the Fernahufer diffraction equations.
  • #1
avisha03
7
0

Homework Statement



1.compute the diffraction pattern through a ring aparture, internal radius a, external radius b, wave length lambda. the incoming wave is a monochromatic, plane wave, vertical to the ring plane.
2.how will the diffraction expression change when a->b?
3.near the aparture a narrow lens with f=10 cm' lambda=1micrometer, a=2mm, b=2.05mm.
draw the intensity i the lens focus plane, according to the first computation, and themn according to the second.

Homework Equations



fernahufer diffraction equations.

The Attempt at a Solution


I did article 1 and got an electrical field with 2 bessel functions, one minus the other. I don't really know how to do 2,3.
 
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  • #2
Well, your solution to 1 sounds good because the solution to a circular aperture (easily found on the internet) involves a bessel function and you should be able to do a superposition to get a disk. For 2 you should be able to just take a limit of you equation from part 1 as a goes to b. Otherwise you could solve a ring aperture of delta function width.
 

FAQ: Diffraction through a ring aparture

What is diffraction through a ring aperture?

Diffraction through a ring aperture is a phenomenon that occurs when light or other waves pass through a circular opening that is smaller than the wavelength of the waves. The circular opening causes the waves to bend and spread out, creating a pattern of bright and dark rings on a screen placed behind the aperture.

How does the size of the ring aperture affect diffraction?

The size of the ring aperture directly affects the diffraction pattern that is produced. A smaller aperture will produce a wider diffraction pattern, while a larger aperture will produce a narrower pattern. This is because the smaller aperture causes more bending and spreading of the waves.

What factors influence the diffraction pattern through a ring aperture?

The main factors that influence the diffraction pattern are the size of the aperture, the wavelength of the waves passing through, and the distance between the aperture and the screen where the pattern is observed. Additionally, the shape and material of the aperture can also have an impact on the diffraction pattern.

Can diffraction through a ring aperture be observed with all types of waves?

Yes, diffraction through a ring aperture can occur with all types of waves, including light, sound, and water waves. However, the specific diffraction pattern may vary depending on the type of wave and its properties.

What real-world applications does diffraction through a ring aperture have?

Diffraction through a ring aperture has various applications in fields such as optics, acoustics, and radio waves. It is used in devices such as telescopes, microscopes, and antennas to manipulate and control the propagation of waves for various purposes, such as focusing, filtering, or signal detection.

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