Why Do Light Beams Need to Be Parallel in Young's Double Slit Experiment?

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SUMMARY

The discussion centers on the necessity of using parallel beams of light in Young's Double Slit Experiment (YDSE) to ensure coherent interference patterns. The coherence of light beams is crucial as it maintains a constant phase difference, which is essential for producing clear interference fringes. The use of a convex lens to focus light at the slits is emphasized, as non-parallel beams would disrupt the phase relationship required for accurate results. The mathematical representation of intensity, I(resultant) = I1 + I2 + rt(I1*I2cosx), highlights the importance of phase difference in interference.

PREREQUISITES
  • Understanding of Young's Double Slit Experiment (YDSE)
  • Knowledge of light coherence and phase relationships
  • Familiarity with convex lenses and their optical properties
  • Basic grasp of wave interference and mathematical equations related to intensity
NEXT STEPS
  • Explore the principles of light coherence and its impact on interference patterns
  • Research the role of convex lenses in optical experiments
  • Learn about alternative experimental setups in interference, such as holography
  • Investigate the mathematical modeling of wave interference in physics
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Students and educators in physics, optical engineers, and anyone interested in the principles of wave interference and experimental optics.

Crystal037
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Homework Statement
Why parallel beam of light is used for ydse?
Relevant Equations
I(resultant) = I1+I2+rt(I1*I2cosx)
Where x is the phase difference
I know that ydse is based on interference of light when it passes through an obstacle having almost same aperture as the wavelength of light. Also they should be coherent to have a constant phase difference at every point. But I don't get why the light beams should be parallel?
 
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Crystal037 said:
Homework Statement:: Why parallel beam of light is used for ydse?
Homework Equations:: I(resultant) = I1+I2+rt(I1*I2cosx)
Where x is the phase difference

I know that ydse is based on interference of light when it passes through an obstacle having almost same aperture as the wavelength of light. Also they should be coherent to have a constant phase difference at every point. But I don't get why the light beams should be parallel?

Do you mean why are the slits are aligned perpendicular to the wavefront? If not, then what do you suggest?
 
No I mean why we take parallel beam of light i.e. Why do take the light source at the focus of convex lens and then that light is passed through the slit. What if we don't use the parallel light beams.
 
Crystal037 said:
No I mean why we take parallel beam of light i.e. Why do take the light source at the focus of convex lens and then that light is passed through the slit. What if we don't use the parallel light beams.

What's a "parallel" beam of light? Parallel to what?

The beam has to be focused at the slits. If not, it misses the slits and you don't have an experiment.
 
Parallel to each other I am talking about parallel beams of light that pass through both the slit
 
Crystal037 said:
Parallel to each other I am talking about parallel beams of light that pass through both the slit
If you have two beams of light that are not parallel to each other, then where are they coming from and what are they aimed at?

If you are proposing an alternative set-up why don't you describe it?
 
Basically you want plane waves for a simple setup (what you call parallel beam) in order to have the simplest mathematical description.
1579710286667.png

but the interference will also occur for a screen at an angle, a spherical wavefront coming from the left, etc.
Best thing to do (if you have a chance ) is to do the experiment and play with the setup !
 
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Crystal037 said:
Parallel to each other I am talking about parallel beams of light that pass through both the slit
If you have non-parallel beams, you will need for the light to have a phase relationship. Two flashlights, each pointed at one of two slits will not have a phase relationship.

An arrangement with half-silvered mirrors and two different convergent paths could do the trick. (Aka holography).
 

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