Interference pattern from a plano-concave lens

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SUMMARY

The discussion focuses on the interference pattern observed from a plano-concave lens using a HeNe laser. The user describes seeing two reflections, with one exhibiting a clear Newton's rings pattern, attributed to interference between the lens's concave and plane surfaces. The conversation highlights the complexity of deriving the radius of curvature (RoC) from this pattern, emphasizing the three-dimensional nature of the lens and its sensitivity to orientation and position. The key takeaway is the understanding that the central dark spot corresponds to the tangent point of the sphere, influencing the formation of dark rings.

PREREQUISITES
  • Understanding of optical interference and Newton's rings
  • Familiarity with plano-concave lens properties
  • Basic knowledge of laser optics, specifically HeNe lasers
  • Concept of radius of curvature in spherical lenses
NEXT STEPS
  • Research the mathematical derivation of Newton's rings and their relationship to RoC
  • Explore the effects of lens orientation on interference patterns
  • Study the principles of laser beam reflection and refraction in optical systems
  • Investigate advanced optical setups for measuring lens curvature
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Optical engineers, physicists, and students studying optics who are interested in interference patterns and lens properties.

Joans
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Hello. I need some sort of explanation. I was unsuccessfully trying to find information on the web and derivation by hand seems rather complicated for me. So I have a such set-up:

HeNe laser ->> plano-concave lense )], light is incident by some angle (NON 0°). then looking to reflection screen I clearly see two reflections and one of them (smaller) having clear Newton's rings pattern. As I understand it is interference between the first surface (concave) and the second surface (plane) reflections. My question is: can I somehow determine RoC from this pattern (attached)?

The pattern seems to be sensitive to orientation and position of the lens.
 

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i had the problem for some time too
the key is to realize that the lens is not just two dimensional circle if that was the case what you said about forming straight line interference would be true but the lens used in the Newton ring experiment is a three dimensional spherical lens so you can imagine the central dark spot as being the point of the sphere that is tangent to the plane and the all the other points which are of the same height from the plane as forming those dark rings hope this helps sorry for the very very late reply
 

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