Rectangular aperture on Single slit diffraction

In summary, the diffraction pattern for a rectangular aperture will depend on the width and height of the aperture, with different cases for when the width is greater, smaller, or equal to the height. This pattern can be seen as the 2-D Fourier transform of a 2-D step function. Additionally, if a convex lens is placed after the aperture, it can perform an inverse Fourier transform and produce an image of the aperture.
  • #1
pacificmoon
3
0
What the diffraction pattern would be for a rectangular aperture of width a and height b for cases where a>b, a<b, a=b.?
anybody know?


thanks
 
Science news on Phys.org
  • #2
I believe the diffraction pattern will look like the 2-D Fourier transform of the 2-D step function.
 
  • #3
pacificmoon said:
What the diffraction pattern would be for a rectangular aperture of width a and height b for cases where a>b, a<b, a=b.?
anybody know?


thanks

http://scienceworld.wolfram.com/physics/FraunhoferDiffractionRectangularAperture.html

In general, as Tide has mentioned, a diffraction pattern is the Fourier transforms of whatever aperture you have. What is even more interesting is that if you place a convex lens at the "appropriate" position after the aperture, the you'll get back the image of the aperture. So in effect, the lens is doing an inverse Fourier transform.

More info than you need, but hey... :)

Zz.
 

1. What is a rectangular aperture?

A rectangular aperture is a type of opening or hole that allows light to pass through. It is usually a rectangular shape and is commonly used in experiments involving diffraction.

2. What is single slit diffraction?

Single slit diffraction is a phenomenon that occurs when light passes through a narrow slit or opening. It causes the light to spread out and form a diffraction pattern on a screen or surface behind the slit.

3. How does a rectangular aperture affect single slit diffraction?

A rectangular aperture can affect the diffraction pattern produced by changing the shape and intensity of the pattern. The width and height of the aperture can also affect the angle and spacing of the diffraction fringes.

4. What factors affect the diffraction pattern produced by a rectangular aperture on single slit diffraction?

The main factors that affect the diffraction pattern produced by a rectangular aperture include the width and height of the aperture, the wavelength of the light passing through, and the distance between the aperture and the screen or surface where the pattern is observed.

5. How can the diffraction pattern from a rectangular aperture on single slit diffraction be used in practical applications?

The diffraction pattern produced by a rectangular aperture on single slit diffraction can be used in various applications such as determining the size of particles, measuring the wavelength of light, and creating optical gratings for use in spectroscopy and other experiments.

Similar threads

A Diffraction theory, power density and angle of incidence
    • Optics
Replies
5
Views
866
I How Can One Derive the Diffraction Pattern Formula from a 1D Aperture?
    • Optics
Replies
2
Views
953
I Calculating Intensity in Single Slit Diffraction Experiments
    • Optics
Replies
17
Views
2K
Real Fresnel diffraction experiment
    • Optics
Replies
1
Views
679
I Single-slit diffraction experiment and the conservation of energy
    • Optics
Replies
20
Views
2K
I Can n-slit interference produce subwavelength stripes?
    • Optics
Replies
6
Views
803
I How does the double-slit pattern change depending on the slits?
    • Optics
Replies
30
Views
3K
B Number of fringes in a 2-slit diffraction pattern
    • Optics
Replies
6
Views
2K
A Calculating Fresnel Diffraction Pattern from Circular Apertures
    • Optics
Replies
1
Views
963
Single Slit and Diffraction Grating Formulas
    • Optics
Replies
6
Views
5K

Hot Threads

Recent Insights

Back
Top