title: Secondary optical lens designed in the method of source-target mapping.
abstract: A secondary optical lens was designed and investigated in three-dimensional (3D) space, which was far more accurate than a two-dimensional space in far-field lighting. The shape of the lens surface was from numerical solutions to a group of equations based on source-target mapping; calculating time was only 1.6 s. Neglecting absorption and scattering loss, the main results show that, for circular lighting, light efficiency can reach as high as 95%, and uniformity, which is the ratio of the minimum illuminance to average illuminance, is 92.2%. For rectangular lighting, light efficiency can reach 83.6% and uniformity can reach 66.7%. Performance of lenses under different parameters was studied to provide direct references for production and application.
authors.affiliation: Xi’an Institute of Optics and Precision Mechanics of the Chinese Academy of Sciences, Xi’an 710119, China.
authors.forename: Guangzhen
authors.initials: G
authors.lastname: Wang
authors.forename: Lili
authors.initials: L
authors.lastname: Wang
authors.forename: Lin
authors.initials: L
authors.lastname: Li
authors.forename: Doudou
authors.initials: D
authors.lastname: Wang
authors.forename: Yajun
authors.initials: Y
authors.lastname: Zhang