Why Does Moving the Microscope Objective Create a Second Image?

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SUMMARY

The discussion centers on the optical phenomenon observed when a microscope objective (M) is moved while maintaining focus, resulting in the formation of a second image of a scratch on a transparent plate. The key factors include the thickness (t) and refractive index (n) of the plate, as well as the distance (D) from the objective to the image point (A'). The movement of the objective (d) does not alter the distance D, allowing light to reflect and refract in a manner that produces an additional sharp image of the scratch at a different location. This phenomenon is attributed to the principles of reflection and refraction in optics.

PREREQUISITES
  • Understanding of optical principles, specifically reflection and refraction.
  • Familiarity with microscope objectives and their imaging properties.
  • Knowledge of basic geometrical optics, including image formation.
  • Concept of light propagation through transparent media with varying refractive indices.
NEXT STEPS
  • Study the principles of light reflection and refraction in detail.
  • Explore the optical characteristics of microscope objectives, including their design and function.
  • Investigate the effects of varying the distance between the objective and the specimen on image formation.
  • Learn about the mathematical modeling of image formation in optical systems.
USEFUL FOR

This discussion is beneficial for students studying optics, optical engineers, and anyone interested in the behavior of light in microscopy and imaging systems.

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Homework Statement


I have a transparent plate (call the thickness t and refractive index n), it has a scratch at a point A. A microscope objective (M, positive) images the point A in A' at a distance D from the objective. If we move M a certain distance d down (without changing focus, meaning D is unchanged), there will be another sharp image of the scratch.

How come?

Homework Equations



Not needed?

The Attempt at a Solution



I was thinking that it might be some reflection on the objective that reflects the light back to the plate and back to the objective at the same point as before it was moved, and then refracted towards A'. I'm not sure if I understand the problem correctly... I think it is suggesting a second image somewhere else?
 
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Ok, I tried illustrating the problem. Please check the attachment (hope it helps).
 

Attachments

  • p2.jpg
    p2.jpg
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