Rapid laser solver for the phase retrieval problem

Area of Science:

• Physics
• Computational Imaging
• Optics

Background:

• Phase retrieval is crucial for applications like X-ray imaging and astrophysics.
• Current indirect iterative algorithms for phase retrieval are slow and inefficient.
• Direct reconstruction methods for phase retrieval are lacking.

Purpose of the Study:

• To present a novel optical approach for rapid and efficient phase retrieval.
• To demonstrate a physical system capable of solving the phase retrieval problem.
• To explore the potential of tailored physical systems for computational challenges.

Main Methods:

• Utilized a digital degenerate cavity laser system.
• Leveraged the most probable lasing mode for object reconstruction.
• Investigated gain competition between lasing modes as a parallel computing mechanism.

Main Results:

• Successfully reconstructed objects from scattered intensity distributions.
• Demonstrated rapid and efficient phase retrieval using the optical approach.
• Experimental results suggest the system acts as a highly parallel computer.

Conclusions:

• The digital degenerate cavity laser offers a fast and efficient solution for the phase retrieval problem.
• This physical computing approach can be generalized to imaging through scattering media and other complex computational tasks.
• Gain competition in lasing modes provides a powerful mechanism for solving inverse problems.