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Numerical Approach to the Near Field Refractor Problem

Faculty #44
Discipline: Mathematics & Statistics
Subcategory: STEM Research

Henok Mawi - Howard University
Co-Author(s): Cristian Gutierrez, Temple University, Philadelphia, PA



In this presentation we will display a numerical algorithm used to approximate a solution to the near field refractor problem. This problem involves determining an interface (lens), between two media of propagation of light, that is capable of refracting a light beam with a given illumination intensity emanating from a punctual source, in medium I, so that the refracted rays in medium II will pass through a certain target set forming a prescribed intensity distribution on the target set located in medium II. A mathematical model to the problem and a method of iteratively constructing a free-form interface for the problem by using a set of primitive surface elements will be shown.

Funder Acknowledgement(s): NSF

Faculty Advisor: None Listed,
NSF Affiliation: HBCU-UP

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This material is based upon work supported by the National Science Foundation (NSF) under Grant No. DUE-1930047. Any opinions, findings, interpretations, conclusions or recommendations expressed in this material are those of its authors and do not represent the views of the AAAS Board of Directors, the Council of AAAS, AAAS’ membership or the National Science Foundation.

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