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Abstract

Snell’s law dictates the phenomenon of light refraction at the interface between two media. Here, we demonstrate arbitrary programming of light refraction through an engineered material where the direction of the output wave can be set independently for different directions of the input wave, covering arbitrarily selected permutations of light refraction between the input and output apertures. Formed by a set of cascaded transmissive layers with optimized phase profiles, this refractive function generator (RFG) spans only a few tens of wavelengths in the axial direction. In addition to monochrome RFG designs, we also report wavelength-multiplexed refractive functions, where a distinct refractive function is implemented at each wavelength through the same engineered material volume, i.e., the permutation of light refraction is switched from one desired function to another function by changing the illumination wavelength. As experimental proofs of concept, we demonstrate permutation and negative refractive functions at the terahertz part of the spectrum using 3D-printed materials. Arbitrary programming of refractive functions enables new design capabilities for optical materials, devices and systems.

Researchers demonstrate arbitrary programming of light refraction through an engineered material, where the direction of the output wave can be set independently for different directions of the input wave.

Details

1009240
Title
Programming of refractive functions
Author
Rahman, Md Sadman Sakib 1 ; Gan, Tianyi 2   VIAFID ORCID Logo  ; Jarrahi, Mona 2   VIAFID ORCID Logo  ; Ozcan, Aydogan 1   VIAFID ORCID Logo 

 University of California, Electrical and Computer Engineering Department, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, Bioengineering Department, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, California NanoSystems Institute (CNSI), Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718) 
 University of California, Electrical and Computer Engineering Department, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, California NanoSystems Institute (CNSI), Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718) 
Publication title
Volume
16
Issue
1
Pages
6896
Publication year
2025
Publication date
2025
Publisher
Nature Publishing Group
Place of publication
London
Country of publication
United States
Publication subject
e-ISSN
20411723
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2025-07-26
Milestone dates
2025-07-16 (Registration); 2025-01-16 (Received); 2025-07-16 (Accepted)
Publication history
 
 
   First posting date
26 Jul 2025
ProQuest document ID
3233586371
Document URL
https://www.proquest.com/scholarly-journals/programming-refractive-functions/docview/3233586371/se-2?accountid=208611
Copyright
© The Author(s) 2025. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2025-07-27
Database
ProQuest One Academic