Lens design based on instantaneous focal function

TL;DR

This paper introduces a lens design method based on the instantaneous focal function, enabling optimized extended depth of focus lenses through computational design and physical fabrication.

Contribution

It derives a lens formula from the instantaneous focal function, facilitating the design of EDoF lenses with a new mathematical approach.

Findings

Derived a lens formula based on instantaneous focal function

Enabled computational optimization of EDoF lens design

Provided a method for physical lens fabrication from the optimized design

Abstract

The formula for the lens is derived based on the information of instantaneous focal function. Focal function is an important tool in designing lenses with extended depth of focus (EDoF) because this allows EDoF lens designers to try out various mathematical curves using computers to optimize their design. Once an optimal focal function information is obtained, the corresponding physical EDoF lens can be fabricated using the lens equation formulated in this presentation.