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.
Collins Dictionary of Astronomy © Market House Books Ltd, 2006

radius of curvature

[′rād·ē·əs əv ′kər·və·chər]
(mathematics)
The radius of the circle of curvature at a point of a curve.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Interestingly, this characteristic curve shifts to higher frequencies at lower radii of curvature (i.e., stronger bending).
[r.sub.2x]: Principal radii of curvature of body 2 in xz plane
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.
However, for large radii of curvature, we proceed as follows.
Before beginning, I first had to calculate the radii of curvature for the mirror's two axes.
The radii of curvature, 2f, for the convex mirrors were 0.22 m (K = 4.55) and 0.60 m (K = 1.67), and the radius of curvature for the plane mirror was infinitely large (K = 0).
The circuit has been designed with 3 variables: this allows to test at variable speeds, radii of curvature, and more or less extreme weight transfer conditions
A typical minimum radius of curvature for limited access highways is about 4000 feet, but older highways have radii of curvature as short as 2000 feet.
All of the FLX systems measure local radii of curvature by bouncing a laser beam off a wafer before and after film deposition at a user-selectable number of points along a diameter line.
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.
For this purpose, a group of sandwich panels with radii of curvature ranging from 250 to 1000 mm were investigated, all other dimensions (L, W, [T.sub.i], [T.sub.0], and [T.sub.c]) of the panels remained the same as the baseline design.