Calculating Focal Length and Minimum Diameter for Laser Beam Diffraction

In summary, the scientist needs to focus a helium-neon laser beam with a wavelength of 633nm to a 10 micrometre diameter spot 8.0 cm behind the lens. To determine the appropriate focal length, the equations w = (2.44lambda * focal length) / diameter and theta = 1.22lamda/diameter can be used. The minimum diameter needed is approximately 2.5lambda, but this may not be the most accurate method. The attempt at a solution using this formula did not result in the correct answer. Further assistance may be needed to solve this problem.
  • #1
strikingleafs01
8
0

Homework Statement



A scientist needs to focus a helium-neon laser beam (lamda = 633nm) to a 10 micrometre diameter spot 8.0 cm behind the lens.

a) What focal-length should she use?
b) What minimum diameter should she use?

Homework Equations



w = (2.44lambda * focal length) / diameter

theta = 1.22lamda/diameter

Wmin is apprx equal to 2.5lambda...apparently, but if you have a separate method ignore this.

The Attempt at a Solution



i attempted to calculate w through 2.5lambda, then use that to calculate the focal length. the answer i got was 0.001cm.
 
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  • #2
I cannot seem to find any modification of this equation anywhere, but it seems that this is the only equation that is used to solve this problem
 
  • #3
Oh! So did you get the right answer using that formula?
 
  • #4
nope, still nothing, anyone know anything??
 

1. What is laser beam diffraction?

Laser beam diffraction is a phenomenon that occurs when a laser beam passes through an opening or around an object, causing it to spread out and create a pattern of bright and dark spots. This is due to the wave-like nature of light and can be observed with a diffraction grating or small pinhole.

2. How does laser beam diffraction work?

When a laser beam passes through an opening or around an object, it encounters obstacles that cause the light waves to bend or diffract. This creates areas of constructive and destructive interference, resulting in the characteristic bright and dark spots of a diffraction pattern.

3. What factors affect laser beam diffraction?

The size and shape of the opening or object, the wavelength of the laser beam, and the distance between the opening/object and the observer all affect laser beam diffraction. Additionally, the intensity and coherence of the laser beam can also impact the diffraction pattern.

4. How is laser beam diffraction used in science and technology?

Laser beam diffraction is used in a variety of scientific and technological applications, including spectroscopy, holographic imaging, and optical data storage. It also plays a crucial role in the study of molecular and atomic structures, as well as in the measurement of small particles and distances.

5. Can laser beam diffraction be controlled or manipulated?

Yes, laser beam diffraction can be controlled and manipulated by changing the properties of the laser beam or the obstacles it encounters. For example, changing the wavelength of the laser beam or using a different diffraction grating can alter the diffraction pattern. Additionally, advanced techniques such as adaptive optics can be used to correct for distortions in the diffraction pattern caused by atmospheric turbulence.

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