Calculating Focal Length and Minimum Diameter for Laser Beam Diffraction

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Homework Help Overview

The discussion revolves around calculating the focal length and minimum diameter for a helium-neon laser beam to achieve a specific spot size. The subject area includes optics and diffraction principles.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of specific equations related to laser beam diffraction. There is mention of attempts to calculate the focal length using the provided equations, with some questioning the validity or modification of these equations.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and expressing difficulty in arriving at a solution. Some guidance on the equations has been provided, but there is no consensus on the correct approach or outcome.

Contextual Notes

Participants note potential confusion regarding the equations and their applicability to the problem, indicating a need for clarification on the assumptions or modifications of the equations used.

strikingleafs01
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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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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
 
Oh! So did you get the right answer using that formula?
 
nope, still nothing, anyone know anything??
 

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