OPTICS: How to solve a two lens system with the object in a medium?

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SUMMARY

This discussion focuses on solving for the focal length (Fx) in a two-lens optical system where the object is situated within a medium with a refractive index of n1=1.52. The first lens has a curved convergent surface positioned 0.635 cm away, while the second lens is a biconvex type with a focal length of 1.8 cm and a refractive index of n2=1.406. The light travels through a medium with a refractive index of n3=1.336 before forming an image 1.8 cm from the second lens. The discussion also explores the implications of using a divergent first lens and variations in the shape of the second lens.

PREREQUISITES
  • Understanding of the thin lens equation
  • Knowledge of refractive indices and their impact on light propagation
  • Familiarity with optical ray tracing techniques
  • Basic principles of lens types, specifically convergent and divergent lenses
NEXT STEPS
  • Research the application of the thin lens equation in multi-lens systems
  • Study the effects of refractive index changes on focal length calculations
  • Learn about ray tracing methods, specifically y-nu ray tracing
  • Explore the impact of lens shape variations on image formation
USEFUL FOR

Optics students, optical engineers, and anyone involved in designing or analyzing multi-lens systems in various mediums.

clalburn1420
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Hi All,

I need help determining focal length value in a two lens system. In the set up, the light source (object) is within a tube, a medium surrounds it with refractive index n1=1.52. The end of the tube is met with a curved convergent surface, the center of which is 0.635 cm away and focal length Fχ. The light passes through the surface into air, and then travels a distance of 3 cm to another thin lens (biconvex) with a focal length of 1.8 cm and refractive index n2=1.406. The light then travels through a medium of refractive index n3=1.336 to focus the image at 1.8 cm from the lens. (look to attached image).
How do I determine the focal length (Fx) of the first lens?
What would happen if the first lens was divergent? Would it still form the image?
What would happen in the size of the second lens changed shape?

I know how to solve for a two lens system using the thin lens equation but its really stumping me having the light source inside of the lens medium.
Any help would be so appreciated.
 

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