A Hamiltonian, post-Born, three-dimensional, on-the-fly ray tracing algorithm for gravitational lensing Article Swipe
Alan Junzhe Zhou
,
Yin Li
,
Scott Dodelson
,
Rachel Mandelbaum
,
Yucheng Zhang
,
Xiangchong Li
,
Giulio Fabbian
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1088/1475-7516/2024/10/069
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1088/1475-7516/2024/10/069
The analyses of the next generation cosmological surveys demand an accurate, efficient, and differentiable method for simulating the universe and its observables across cosmological volumes. We present Hamiltonian ray tracing (HRT) — the first post-Born (accounting for lens-lens coupling and without relying on the Born approximation), three-dimensional (without assuming the thin-lens approximation), and on-the-fly (applicable to any structure formation simulations) ray tracing algorithm based on the Hamiltonian formalism. HRT performs symplectic integration of the photon geodesics in a weak gravitational field, and can integrate tightly with any gravity solver, enabling co-evolution of matter particles and light rays with minimal additional computations. We implement HRT in the particle-mesh library pmwd, leveraging hardware accelerators such as GPUs and automatic differentiation capabilities based on JAX. When tested on a point-mass lens, HRT achieves sub-percent accuracy in deflection angles above the resolution limit across both weak and moderately strong lensing regimes. We also test HRT in cosmological simulations on the convergence maps and their power spectra.
Related Topics
Concepts
Physics
Gravitational lens
Hamiltonian (control theory)
Gravitation
Weak gravitational lensing
Ray tracing (physics)
Tracing
Astrophysics
Theoretical physics
Algorithm
Classical mechanics
Quantum mechanics
Galaxy
Computer science
Mathematics
Mathematical optimization
Redshift
Operating system
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1475-7516/2024/10/069
- OA Status
- hybrid
- Cited By
- 1
- References
- 98
- Related Works
- 10
- OpenAlex ID
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All OpenAlex metadata
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https://openalex.org/W4403646057Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1475-7516/2024/10/069Digital Object Identifier
- Title
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A Hamiltonian, post-Born, three-dimensional, on-the-fly ray tracing algorithm for gravitational lensingWork title
- Type
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
- Publication date
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2024-10-01Full publication date if available
- Authors
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Alan Junzhe Zhou, Yin Li, Scott Dodelson, Rachel Mandelbaum, Yucheng Zhang, Xiangchong Li, Giulio FabbianList of authors in order
- Landing page
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https://doi.org/10.1088/1475-7516/2024/10/069Publisher landing page
- Open access
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://doi.org/10.1088/1475-7516/2024/10/069Direct OA link when available
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Physics, Gravitational lens, Hamiltonian (control theory), Gravitation, Weak gravitational lensing, Ray tracing (physics), Tracing, Astrophysics, Theoretical physics, Algorithm, Classical mechanics, Quantum mechanics, Galaxy, Computer science, Mathematics, Mathematical optimization, Redshift, Operating systemTop concepts (fields/topics) attached by OpenAlex
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1Total citation count in OpenAlex
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2025: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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