ArticleScience advances2019
Rapid laser solver for the phase retrieval problem.
Article in Science advances, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Solid-State Vortex Laser at Eye-Safe Band: A Perspective.Nanophotonics (Berlin, Germany) · 2026Article
- Phase retrieval via gain-based photonic XY-Hamiltonian optimization.Communications physics · 2026Article
- Wavelength-division multiplexing optical Ising simulator enabling fully programmable spin couplings and external magnetic fields.Science advances · 2023Article
- Neural computing with coherent laser networks.Nanophotonics (Berlin, Germany) · 2023Article
- Anyonic-parity-time symmetry in complex-coupled lasers.Science advances · 2022Article
- Demonstration of chip-based coupled degenerate optical parametric oscillators for realizing a nanophotonic spin-glass.Nature communications · 2020Article
Corrections and comments
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Authors and funding
7 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Tailored physical systems were recently exploited to rapidly solve hard computational challenges, such as spin simulators, combinatorial optimization, and focusing through scattering media. Here, we address the phase retrieval problem where an object is reconstructed from its scattered intensity distribution. This is a key problem in many applications, ranging from x-ray imaging to astrophysics, and currently, it lacks efficient direct reconstruction methods: The widely used indirect iterative algorithms are inherently slow. We present an optical approach based on a digital degenerate cavity laser, whose most probable lasing mode rapidly and efficiently reconstructs the object. Our experimental results suggest that the gain competition between the many lasing modes acts as a highly parallel computer that could rapidly solve the phase retrieval problem. Our approach applies to most two-dimensional objects with known compact support, including complex-valued objects, and can be generalized to imaging through scattering media and other hard computational tasks.
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Registered trials
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