Fast generation of arbitrary optical focus array

TL;DR

This paper introduces a rapid method for generating arbitrary optical focus arrays by replacing FFT with linear algebra in hologram computation, achieving over 70 times faster calculation with high precision for real-time applications.

Contribution

The authors present a novel approach that significantly accelerates hologram computation for optical focus arrays using linear algebra techniques, surpassing traditional FFT-based methods.

Findings

Achieves over 70x faster computation speed.

Demonstrates 99% intensity precision in experiments.

Effective for real-time optical focus array generation.

Abstract

We report a novel method to generate arbitrary optical focus arrays (OFAs). Our approach rapidly produces computer-generated holograms (CGHs) to precisely control the positions and the intensities of the foci. This is achieved by replacing the fast Fourier transform (FFT) operation in the conventional iterative Fourier-transform algorithm (IFTA) with a linear algebra one, identifying/removing zero elements from the matrices, and employing a generalized weighting strategy. On the premise of accelerating the calculation speed by >70 times, we demonstrate OFA with 99% intensity precision in the experiment. Our method proves effective and is applicable for the systems in which real-time OFA generation is essential.