DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: High-fidelity holographic beam shaping with optimal transport and phase diversity

Journal Article · · Optics Express
DOI: https://doi.org/10.1364/OE.540901 · OSTI ID:2512434

A phase-only spatial light modulator (SLM) provides a powerful way to shape laser beams into arbitrary intensity patterns but at the cost of a hard computational problem of determining an appropriate SLM phase. Here, we show that optimal transport methods can generate approximate solutions to this problem that serve as excellent initializations for iterative phase retrieval algorithms, yielding vortex-free solutions with superior accuracy and efficiency. Additionally, we show that analogous algorithms can be used to measure the intensity and phase of the input beam incident upon the SLM via phase diversity imaging. These techniques furnish flexible and convenient solutions to the computational challenges of beam shaping with an SLM.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Stanford U., Phys. Dept.
Sponsoring Organization:
US Department of Energy; USDOE
Grant/Contract Number:
89243024CSC000002; AC02-07CH11359
OSTI ID:
2512434
Report Number(s):
FERMILAB-PUB-24-0565-V
Journal Information:
Optics Express, Journal Name: Optics Express Journal Issue: 3 Vol. 33; ISSN 1094-4087; ISSN OPEXFF
Publisher:
Optical Society of AmericaCopyright Statement
Country of Publication:
United States
Language:
English

References (25)

How well does the finite Fourier transform approximate the Fourier transform? journal November 2004
Polar factorization and monotone rearrangement of vector-valued functions journal June 1991
The Refractor Problem in Reshaping Light Beams journal August 2008
On the design of a reflector antenna II journal July 2004
Vortex Stagnation problem in iterative Fourier transform algorithms journal January 2005
Ultrafast laser beam shaping for material processing at imaging plane by geometric masks using a spatial light modulator journal July 2015
In situ wavefront correction and its application to micromanipulation journal May 2010
Accurate holographic light potentials using pixel crosstalk modelling journal February 2023
The Monge–Ampère equation and its link to optimal transportation journal May 2014
Optimal-transport formulation of electronic density-functional theory journal June 2012
Adaptive electron beam shaping using a photoemission gun and spatial light modulator journal February 2015
Phase Retrieval And Diversity In Adaptive Optics journal October 1982
High-contrast computational caustic design journal July 2014
Light in power journal December 2018
Optimal Transport in Systems and Control journal May 2021
Single-shot phase calibration of a spatial light modulator using geometric phase interferometry journal March 2020
Complete wavefront reconstruction using sequential intensity measurements of a volume speckle field journal January 2006
Full-frame projection displays using a liquid-crystal-on-silicon spatial light modulator for beam shaping and speckle suppression journal September 2014
Phase imaging using spiral-phase diversity journal April 2015
A high-accuracy algorithm for designing arbitrary holographic atom traps journal January 2008
Conjugate gradient minimisation approach to generating holographic traps for ultracold atoms journal January 2014
Ultra-precise holographic beam shaping for microscopic quantum control journal January 2016
Model-based compensation of pixel crosstalk in liquid crystal spatial light modulators journal August 2019
Vortex-enhanced coherent-illumination phase diversity for phase retrieval in coherent imaging systems journal April 2016
Rapid stochastic spatial light modulator calibration and pixel crosstalk optimisation preprint January 2024