Computationally designing a dual-aspheric compound lens toward multi-depth endomicroscopy imaging

Abstract

This study presents a computational approach for designing a compound lens system by pairing two infinity-corrected aspheric lenses with matching ray-mapping conditions to enable three-dimensional imaging over an extended volume with minimal aberrations. The surface profiles of each aspherical lens are derived by solving explicit differential equations, reducing dependence on prior optical design expertise. We explore different combinations of the aspheric lenses to create compound lenses that satisfy the Abbe sine or Herschel's condition, validating their tolerance to lateral and axial object point shifts. This computational design approach offers a low-barrier, cost-effective solution for rapidly fabricating miniature objectives and prototyping unconventional optical sectioning endomicroscope designs.