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

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The presence of a convergent lens in Young's experiment alters the interference pattern by making it smaller if placed after the beams combine and before the screen. Conversely, using a diverging lens enlarges the pattern, or moving the screen further away can also achieve this effect, though it results in a dimmer pattern. The rays from different image points only cross if the screen is positioned beyond the focal point of the lens, leading to an enlarged pattern. Understanding these effects is crucial for grasping geometrical optics in interference experiments. The interaction of light with lenses significantly impacts the visibility and size of interference fringes.
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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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