Why correction of curvature is always considered as a negative?

Join TheConstructor to ask questions, answer questions, write articles, and connect with other people. When you join you get additional benefits.

Log in to TheConstructor to ask questions, answer people’s questions, write articles & connect with other people. When you join you get additional benefits.

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## nikeetasharma

Here, consider lens or mirror at the origin. Now, all the distances measured in the direction of incident rays are positive and distances measured in the direction opposite to the direction of incident rays are negative. All distances have to be measured from the lens or mirror. For example object distance measured from lens or mirror is measured in the direction opposite to direction of incident rays hence, in these case object distance u is negative. The paraxial parallel rays are focused on the right hand side of convex lens. See, this distance f is measured in the direction of incident rays . Hence, focal length of convex lens is positive. But, we can see that focal length of concave mirror is negative. It’s radius of curvature is also negative. The radius of curvature of first surface of convex lens is positive, but radius of curvature of it’s second surface is negative. You can see that radius of curvature and focal length of concave mirror are negative.

## Komal Bhandakkar

This answer was edited.## Correction of curvature:

Physically correction factor starts out negative because of the focusing effect of the curved surface.

At greater depths, the correction factor is always positive due to the increased beam spread beyond the focal zone caused by the surface curvature.

Correction is always negative but the error is positive.

If both sides of the lens curved outward then it is called a converging lens.

According to the cartesian system, the focal length of a concave mirror is negative where R is the radius of curvature of a convex mirror is positive.

Thank you.