Solve Plano-Convex Lens Lensmaker's Equation

[paulstgeorge]

Can someone help me with the Lensmaker's equation for a plano-convex lens? The formula for a bi-convex lens is readily available but it includes a term for the radius for each of the two curves. A plano-convex lens has only one radius!

 

[Meir Achuz]

Let the second radius go to infinity.

 

[paulstgeorge]

Thanks. Does that mean the formula is simplified to the formula shown in simple2.jpeg?

Whether I start with the formula shown in simple1.jpeg or that shown in complex.jpeg, if the second radius is infinity a number of terms are then zero.

 

[lightarrow]

Thanks. Does that mean the formula is simplified to the formula shown in simple2.jpeg?

Whether I start with the formula shown in simple1.jpeg or that shown in complex.jpeg, if the second radius is infinity a number of terms are then zero.

Certainly.