Work

A fast, large-scale optimal transport algorithm for holographic beam shaping

Year: 2026

Type: article

Abstract: Optimal transport methods have recently established state-of-the-art accuracy and efficiency for holographic laser beam shaping. However, use of such methods is hindered by severe O ( N 2 ) memory and O ( N 2 ) time requirements for large-scale input or output images with N total pixels. Here we leverage the dual formulation of the optimal transport problem and the separable structure of the cost to implement algorithms with greatly reduced O ( N ) memory and O ( N log ⁡ N ) to O ( N 3/2 ) time complexity. These algorithms are parallelizable and can solve megapixel-scale beam shaping problems in tens of seconds on a CPU or seconds on a GPU.

Source: Optics Express

DOI: 10.1364/oe.588337

Authors: Andrii Torchylo, Hunter Swan, Lucas Tellez, Jason M. Hogan

Institution: Stanford University

Language: English

Topic: Orbital Angular Momentum in Optics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,270

Funders: National Science Foundation, Gordon and Betty Moore Foundation