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Diffractive neural networks with polynomial phase masks for laser beam shaping with quasi-continuous diffractive
Optics Express
|June 14, 2025
Summary
We developed a new method using diffractive neural networks (DNNs) to design continuous diffractive optical elements (DOEs) for laser beam shaping. This approach ensures high accuracy for single or cascaded phase masks, even with new manufacturing constraints.
Area of Science:
- Optics and Photonics
- Machine Learning Applications
- Optical Engineering
Background:
- Diffractive optical elements (DOEs) are crucial for laser beam shaping.
- Designing accurate DOEs, especially continuous ones, can be challenging.
- Existing methods may struggle with accuracy or adaptability to manufacturing.
Purpose of the Study:
- To introduce a novel, accurate, and adaptable method for designing continuous diffractive optical elements (DOEs).
- To leverage diffractive neural networks (DNNs) for laser beam shaping applications.
- To validate the design approach with continuous reflective DOEs under manufacturing constraints.
Main Methods:
- Utilized diffractive neural networks (DNNs) with trainable polynomial phase masks.
- Developed a design methodology for both single and cascaded phase masks.
- Adapted the DNN approach to account for specific manufacturing conditions of continuous reflective DOEs.
Main Results:
- Achieved consistently high beam shaping accuracy irrespective of the initial design guess.
- Demonstrated successful adaptation of the DNN design method for continuous reflective DOEs.
- Experimentally verified the performance of the designed DOEs in a two-element optical setup.
Conclusions:
- The proposed DNN-based approach offers a robust and accurate method for designing continuous DOEs.
- This technique is adaptable to real-world manufacturing constraints, enabling practical applications.
- The study validates the effectiveness of DNNs for advanced laser beam shaping tasks.

