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

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.