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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Generation of multi-focus shaping with high uniformity based on an improved Gerchberg-Saxton algorithm.

Hang Chen, Ningxiao Wang, Yu Huang

|June 10, 2024

Summary

A new random disturbance superposition (RDS) method improves the Gerchberg-Saxton (GS) algorithm for high-uniformity multiple beam shaping. A phase value replacement (PVR) technique further enhances energy utilization without compromising uniformity.

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Area of Science:

Computational holography
Laser beam shaping
Optical engineering

Background:

The Gerchberg-Saxton (GS) algorithm is widely used for computational holography and beam shaping due to its speed and efficiency.
A key limitation of the GS algorithm is its tendency to converge to local optima, resulting in suboptimal shaping quality.

Purpose of the Study:

To develop a robust method for achieving high-uniformity multiple beam shaping using the GS algorithm.
To address the limitations of local optima convergence in the GS algorithm.
To investigate and improve energy utilization in holographic beam shaping.

Main Methods:

Introduction of a random disturbance superposition (RDS) method to feedback GS amplitude.
Analysis of the impact of RDS on energy utilization.
Development of a phase value replacement (PVR) method to enhance energy efficiency.

Main Results:

The RDS method achieved stable and universal over 95% high uniformity shaping of multiple beams.
Perturbation introduced by RDS was found to decrease energy utilization.
The PVR method effectively improved energy utilization without sacrificing uniformity.

Conclusions:

The proposed RDS and PVR methods offer a stable and effective solution for high-uniformity multiple beam shaping with improved energy efficiency.
This technique provides accurate control over multiple beam energy distribution, advancing laser precision processing technology.