Basic optics question - lenses

Thread starter jaejoon89
Start date Feb 12, 2009
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Lenses Optics

AI Thread Summary

When two concave and convex lenses are nested with equal focal lengths, their optical effects cancel each other out, resulting in no net convergence or divergence of light rays. However, if the concave lens has a larger focal length than the convex lens, the combined system will cause slight convergence of the rays due to the difference in focal lengths. The mathematical basis for this behavior involves the lens maker's equation, which relates the focal length to the radii of curvature and the refractive index of the materials. Understanding the principles of lens combinations and their focal lengths is crucial for predicting the behavior of light in optical systems. This discussion highlights the importance of focal length in determining the overall optical effect of nested lenses.

Feb 12, 2009

jaejoon89

Why if two concave and convex lenses are nested together, will there be no resulting convergence or divergence if their focal lengths are the same, but if the concave lens has a larger focal length the rays will converge slightly?

What is (are) the mathematical equation(s)/reason(s)?

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Feb 12, 2009

tiny-tim

Science Advisor

Homework Helper

Hi jaejoon89!

"Nested" means that the radii of curvature are the same.

So what mathematical equations are involved?

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