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Lensmaker's Equation

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Jul 7, 2022, 5:14:51 PM
Created by
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Jun 17, 2016, 6:36:43 PM
`f = [(n-1)|1/r_1+1/r_2|]^-1`
`(n)"index of refraction"`
`(r_1)"radii of curvature 1"`
`(r_2)"radii of curvature 2"`
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The Lensmaker's Equation is used to calculate the focal length of a lens immersed in a medium with an index of refraction of 1. The equation is:
`f=[(n-1)|1/r_1pm1/r_2|]^-1`, where:

  • `n` = index of refraction
  • `r_1` = radii of curvature
  • `r_2` = radii of curvature

The positive sign is used when both surfaces are curved outward or both are curved inward; otherwise a negative sign applies. (In vCalc, enter `r_2` as negative if both surfaces are not curved in the same direction.)

References

31.3 The lensmaker's equation by Benjamin Crowell, Light and Matter  licensed under the Creative Commons Attribution-ShareAlike license.


This equation, Lensmaker's Equation, is used in 2 pages
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