Exact equations for stigmatic singlet design meeting the Abbe sine condition

We present the exact equations for designing a stigmatic singlet lens that meets Abbe's sine condition for each ray. These lenses are designed from the solution of a system of nonlinear equations. We test the results and method by ray-tracing techniques with a very high accuracy.

Automated summary

This paper presents the exact equations for designing a stigmatic singlet lens that meets Abbe's sine condition, and tests the results and method using ray-tracing techniques with very high accuracy.