Experimental demonstration of Monge-Ampère equation for coherent beam field reconstruction

Xiao Ma; Haoran Li; Chunyuan Chen; Zexin Feng

doi:10.1117/12.3008073

18 December 2023 Experimental demonstration of Monge-Ampère equation for coherent beam field reconstruction

Xiao Ma, Haoran Li, Chunyuan Chen, Zexin Feng

Proceedings Volume 12968, AOPC 2023: Optic Fiber Gyro ; 129681Z (2023) https://doi.org/10.1117/12.3008073
Event: Applied Optics and Photonics China 2023 (AOPC2023), 2023, Beijing, China

Abstract

High-precision phase reconstruction is crucial for beam analysis and control. In a previous work, we proposed a phase retrieval method based on the Monge-Ampère equation (MAE). Similar to the commonly-used transport of intensity equation (TIE), the MAE is also a partial differential equation (PDE) that describes the relationship between irradiance and phase. However, in the framework of geometric optics, the MAE could be a more accurate and general method for solving the phase retrieval problem compared to the TIE. In this paper, we apply the MAE to reconstruct the field of a laser beam. By capturing two irradiance distributions at two different planes that are perpedicular to the propagation direction, the complex amplitude distribution at the first plane can be retrieved based on the MAE method. The angular spectrum method is employed to determine the complex amplitude distributions at different positions along the beam propagation direction. The factor of the laser beam is calculated based on the reconstructed beam field. Results show that the factor values computed based on the MAE method have small deviations from that tested with a commercial beam profiler.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Xiao Ma, Haoran Li, Chunyuan Chen, and Zexin Feng "Experimental demonstration of Monge-Ampère equation for coherent beam field reconstruction", Proc. SPIE 12968, AOPC 2023: Optic Fiber Gyro , 129681Z (18 December 2023); https://doi.org/10.1117/12.3008073

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available