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Radius of Curvature of a Lens away from Light Source

Last modified by
on
Nov 7, 2024, 4:10:45 PM
Created by
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Jun 22, 2016, 7:54:10 PM
`r_2 = (1/r_1 - 1/[(n_"lens"/n_"medium" - 1) f] )^(-1)`
`(f)"Focal Length"`
`(n_"lens")"Lens index of refraction"`
`(n_"medium")"Medium index of refraction"`
`(r_1)"Curvature radius toward light source."`
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16731e08-38b3-11e6-9770-bc764e2038f2

The Radius of Curvature of a Lens away from Light Source calculator  /attachments/16731e08-38b3-11e6-9770-bc764e2038f2/lens.pngcomputes the radius of curvature (r2) based on its geometry and material index of the lens and surrounding material.

INSTRUCTIONS: Choose units and enter the following:

  • (nlens)  Refraction Index of Lens Material.
  • (nmedium)  Refraction Index of Surrounding Material.
  • (r1)  Radius of Curvature of Lens Toward Light Source.
  • (f) Focal Length of Lens.

Radius of Curvature(r2):  The calculator returns the radius in meters.  However, this can be automatically converted to other length units via the pull-down menu.

The Math / Science

This Lens Maker's Equation1(solved for `r_2`) calculates the radius of curvature of the side of a lens that faces away from the object, given its geometry and surroundings.   For more information on and versions of the Lens Maker's Equation, please see the Lens Maker's Equation Calculator page.

Lens Maker's Equation:

      `f = [(n_"lens"/n_"medium" - 1)(1/r_1 - 1/r_2)]^-1`

where:

Related Calculators:

  1. ^ Walker, Jearl, David Halliday, and Robert Resnick. "Images." Fundamentals of Physics. 8E ed. Hoboken, NJ: Wiley, 2008. 936. Print.

This equation, Radius of Curvature of a Lens away from Light Source, is used in 3 pages
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