How the interference of light changes if there's a lens?

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SUMMARY

The introduction of a convergent lens in Young's experiment alters the interference pattern by reducing its size when placed between the slits and the screen. Conversely, a diverging lens enlarges the pattern, especially when the screen is positioned beyond the focal point. The interference fringes are affected by the lens type and placement, with the rays from image points only crossing when the screen is located past the focal point of the lens.

PREREQUISITES
  • Understanding of Young's double-slit experiment
  • Knowledge of geometrical optics principles
  • Familiarity with lens types: convergent and divergent
  • Concept of focal points in lens systems
NEXT STEPS
  • Study the effects of lens placement on interference patterns
  • Explore the mathematical principles of lens optics
  • Learn about the behavior of light rays through different lens types
  • Investigate the relationship between screen distance and interference pattern brightness
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Students and educators in physics, optical engineers, and anyone interested in the principles of light interference and lens optics.

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Suppose we have the Young's experiment with a convergent lens between the slits and the screen. How would the interference fringes change? Sorry about the silly question, but I'm having a hard time with geometrical optics. Thanks!
 
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If the lens is placed after the beams are combined, and before the screen ... then it will make the pattern smaller.

If you use a diverging (negative) lens, then the pattern will be enlarged ... or you can simply move the screen far away, but then the pattern will be dimmer.

The rays from the various image points don't cross each other unless your screen is past the focal point; in that case the pattern will be enlarged.
 
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