Lens-Maker's Formula透镜公式
For a thin lens, the power is approximately the sum of the surface powers. ![]() The radii of curvature here are measured according to the Cartesian sign convention. For a double convex lens the radius R1 is positive since it is measured from the front surface and extends right to the center of curvature. The radius R2 is negative since it extends left from the second surface. 这里的曲率半径是根据笛卡尔符号约定测量的。对于双凸透镜,R₁是正的,因为它是从前表面测量的,并延伸到中心曲率点。而R₂是负的,因为它是从第二表面向左延伸的。
![]() The above calculation is a single purpose calculation which returns the powers and focal lengths based on the values of the radii and indices of refraction. Substitute a number in any field and the calculation will be initiated. Default values will be entered for any unspecified parameter, but the index and radius values may be changed. 上述计算是一个单用途计算,根据曲率半径和折射率的值返回功率和焦距。在任何字段中输入一个数字,计算将被启动。未指定的参数将使用默认值,但索引和半径值可以更改。
The second part of the calculation above shows the diminshed power of a lens in a medium other than air. This gives important insight into the role of the two lenses of the human eye. The cornea has the greatest power because light enters it from the air. The inner crystalline lens has much less refractive power because it is suspended in a water-like medium. 上述计算的第二部分显示,当介质不是空气时,透镜的功率会减小。这为理解人眼两个透镜的作用提供了重要见解。角膜具有最大的功率,因为光线是从空气进入角膜的。而内晶状体的折射功率则要小得多,因为它悬浮在类似水的介质中。
For thick lenses , Gullstrand's equation can be used to calculate the lens power. 对于厚透镜,可以使用Gullstrand方程来计算透镜的功率。
对于薄透镜,其功率近似等于两个表面的功率之和。 |
Index Lens concepts 棱镜概念索引 | ||
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