lensmaker equation calculator

enter the value and click "calculate", the calculation result will be displayed.

1/f = ( n1/nm - 1 ) ( 1/r1 - 1/r2)
p=1/f
f = focus
nl = refractive index of lens material
nm = refractive index of ambient medium
r1 = radius of curvature of the first surface
r2 = radius of curvature of second surface
p = lens power

enter a value:

radius of curvature of the first surface:
Cm
radius of curvature of the second surface:
Cm
refractive index of lens material:
m
refractive index of environmental medium:
m

calculation result:

focus:
Cm
lens power:
Diopters
lensmaker equation calculator a lens is a transmissive optical device that affects the focusing of a beam of light through refraction. a simple lens consists of a single piece of material, while a compound lens consists of multiple simple lenses (elements), usually along a common axis.
if the lens is a lenticular or plano-convex lens, a collimated light beam passing through the lens will converge (or focus) to a point behind the lens. in this case, the lens is called a positive lens or a converging lens. if the lens is biconcave or plano-concave, the collimated light beam passing through the lens diverges (spreads); therefore, the lens is called a negative lens or a diverging lens.
the lens manufacturer's equation is used to determine whether a lens acts as a converging or diverging lens based on the curvature of the lens surface and the relative indices of the lens material and surrounding medium. it is used to determine the focal length of a thin lens (thickness = 0) with radii of curvature r1 and r2.
the focal length f of a converging lens is positive, and the focal length f of a diverging lens is negative.
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