Understanding Virtual Objects and Negative Do Values in Lenses

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SUMMARY

This discussion clarifies the behavior of lenses when dealing with virtual objects and negative object distances (do). When do is negative, and the image distance (di) is positive, the resulting image is a real image located on the opposite side of the lens from the virtual object. This scenario typically arises in optical systems involving multiple lenses, where a second lens refracts light rays from a virtual object created by the first lens, resulting in a real image that can be projected onto a screen.

PREREQUISITES
  • Understanding of basic lens formulas, including the lens maker's equation.
  • Familiarity with the concepts of real and virtual images in optics.
  • Knowledge of light refraction principles and ray diagrams.
  • Experience with optical systems involving multiple lenses and mirrors.
NEXT STEPS
  • Study the lens maker's equation to understand how lens curvature affects image formation.
  • Learn about ray tracing techniques for complex optical systems.
  • Explore the behavior of light in systems with multiple lenses and mirrors.
  • Investigate practical applications of virtual objects in optical devices, such as cameras and projectors.
USEFUL FOR

Optics students, optical engineers, and anyone involved in designing or analyzing optical systems with lenses and mirrors.

CaneAA
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I would appreciate some clarification on working with lenses and virtual objects (when the object distance do is negative).

I'm not sure what happens when the do is negative and you get a positive value for di. On which side of the lens does the image go?

Normally, for a lens, if di is positive, it is a "real image" and goes on the side of the lens opposite the object; and if di is negative, it is a "virtual image" and goes on the same side of the lens as the object. But what are the rules for when you start out with a virtual object?

Thanks! :smile:
 
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The problem of virtual object arises in an optical device with combination of lenses/mirrors. The object is put in front of the device. Assume the combination of two lenses. A virtual object means that before the real image by the first lens is formed, a second lens is put in. This second lens refracts the light rays again and their intersection defines the place of the new image. If this new image can appear on a screen it is real. That means it is at the opposite side of the two-lens device than the real object. With respect to this lens, do is negative and di is positive.

ehild
 

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Thank you :)
 

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