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The radius of curvature of the optical lens

2021-06-28(718)Views

The curvature radius of the optical lens, I believe that many of you here don’t know the optical lens very well.

The curvature radius of the optical lens, I believe that many of you here don’t know the optical lens very well. The lens is an object that can magnify and reduce the refraction of light. It is generally used in the optical field, such as car lights, flashlights, wall washers, LED lights and other fields. For many people asking questions on the Internet that they don’t understand the radius of curvature of an optical lens, we will explain it to you today.


光學(xué)透鏡的曲率半徑


The radius of curvature of the optical lens?
What is the radius of curvature of the lens?
The front and back surfaces of the lens are curved. The front and back two complete surfaces are equivalent to a part of a spherical surface. Then this spherical surface must have a radius. This radius is the curvature radius of the lens, which is usually divided into the respective curvatures of the front and rear surfaces. radius.


The relationship between the focal length of the lens and the radius of curvature

Assuming that the curvature radii of the front and rear surfaces of the lens are r1, r2, the center thickness of the lens is d, and the refractive index of the material used for the lens is n, then the object focal length of the front surface is f1=-r1/(n-1), and the focal length of the phase focal length is f1' =nr1/(n-1), the object focal length of the back surface is: f2'=nr2/(n-1), the phase focal length is: f2'=-r2/(n-1), and then the total focal length is: f'=-f1'*f2'/(d-f1'+f2). The object focal length is equal to the negative focal length.


Introduction to the radius of curvature

The radius of curvature is mainly used to describe the degree of curvature of a curve somewhere on the curve. Special examples are: the degree of curvature in all parts of the circle is the same, so the radius of curvature is the radius of the circle; the straight line is not curved, and the straight line is at that point. The radius of the tangent circle can be arbitrarily large, so the curvature is 0, so the straight line has no radius of curvature, or the radius of curvature is infinite.


The larger the radius of the circle, the smaller the degree of curvature, and the closer it is to a straight line. Therefore, the larger the radius of curvature, the smaller the curvature, and vice versa.
If a circle with the same curvature can be found for a certain point on a curve, then the radius of curvature of this point on the curve is the radius of the circle (note that it is the radius of curvature of this point, and other points have other curvatures) radius).


can also be understood like this: the curve is differentiated as much as possible until it is finally approximated as an arc, and the radius corresponding to this arc is the radius of curvature of the point on the curve.

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