# radius of curvature

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## radius of curvature

(ray -dee-us) Symbol: r , R . The radius of the sphere whose surface contains the surface of a spherical mirror, lens, or wavefront. The curvature of the mirror, etc., is given by the reciprocal of the radius of curvature, i.e. by 1/r . The radius of curvature of a mirror is twice its focal length, f . That of a lens is given by
1/f = (n – 1)(1/r 1 – 1/r 2 )
where n is the refractive index; it is assumed that, in the direction of light travel, the radii, r 1 and r 2, for the convex and concave lens surfaces are positive and negative, respectively.

## radius of curvature

[′rād·ē·əs əv ′kər·və·chər]
(mathematics)
The radius of the circle of curvature at a point of a curve.
References in periodicals archive ?
Such a shape modification and the resultant changes in the ventricular wall regional radii of curvature are central to the proposed hypothesis of a cardiac remodeling directly induced by wall stress changes.
Before beginning, I first had to calculate the radii of curvature for the mirror's two axes.
In fact, surface roughness may be harmful in some circumstances since high stress concentrations may be induced locally due to small radii of curvature at localized spots on the substrate.
Becoming improve the geometric characteristics of the design, especially in regions observed intense topography, because of which apply small radii of curvature,
The radii of curvature and the proper radii must be calculated from the circumference values.
I used trial-and-error lens bending in the design phase, inputting different radii of curvature and observing the results by ray-tracing.
A simple equation by Timoshenko (13) is used to calculate the layer stresses from the measured radii of curvature, assuming that the two layer materials are elastic.
The radii of curvature at intermediate azimuth are given generally by (36).
7 inches Radii of curvature are positive if convex to the sky, negative if concave.
Just remember that the secondary mirror's surface should appear smooth when tested, and the ratio of its two radii of curvature should end up as close to 1:2 as possible.

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