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