Why Do Diverging Lenses Always Produce Shrunken Images?

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SUMMARY

Diverging lenses consistently produce shrunken and inverted images regardless of the object's position relative to the lens. This phenomenon occurs due to the geometric properties of light rays as they pass through the lens, which always directs the rays outward. The image is formed between the lens and the object, leading to a smaller representation of the object. Understanding this behavior is crucial for applications in optics and vision correction.

PREREQUISITES
  • Basic understanding of optics and light behavior
  • Familiarity with lens types, specifically diverging lenses
  • Knowledge of image formation principles in optics
  • Geometry related to light ray deflection
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  • Study the principles of geometric optics
  • Explore the characteristics of converging vs. diverging lenses
  • Learn about ray diagrams for lens systems
  • Investigate practical applications of diverging lenses in optical devices
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Students of physics, optical engineers, and anyone interested in understanding the behavior of lenses in imaging systems.

BogMonkey
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I noticed that for converging devices the size and orientation of the image formed depends on whether the object is located inside or outside the focal point and center of curvature. I also read that no matter where the object is with respect to a diverging lense the image formed will always be shrunken and inverted. Why would the object be shrunken if the device disperses rays? Is it all a matter of the angle at which the light hits the retina?
 
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BogMonkey said:
I noticed that for converging devices the size and orientation of the image formed depends on whether the object is located inside or outside the focal point and center of curvature. I also read that no matter where the object is with respect to a diverging lense the image formed will always be shrunken and inverted. Why would the object be shrunken if the device disperses rays? Is it all a matter of the angle at which the light hits the retina?

It's a matter of geometry.
The rays are deflected such that the image is always between the lens and the object, no matter where the object is.
See here
http://www.edumedia-sciences.com/en/a294-diverging-lens
 

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