A New Hybrid Framework to Efficiently Model Lines of Sight to Gravitational Lenses

Ann I. Zabludoff; Charles R. Keeton; Curtis McCully; Kenneth C. Wong

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A New Hybrid Framework to Efficiently Model Lines of Sight to Gravitational Lenses

Curtis McCully, Charles R. Keeton, Kenneth C. Wong, Ann I. Zabludoff

Cosmology and Nongalactic Astrophysics · Submitted 31 Dec 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We develop a framework for multiplane lensing that can handle an arbitrary combination of tidal planes treated with shear and convergence and planes treated exactly (i.e., including higher order terms).

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arXiv ID1401.0197 (version 2)

Pith IDXCDFNXVH, Pith's permanent record of this paper and its review

CitationAnn I. Zabludoff, Charles R. Keeton, Curtis McCully, Kenneth C. Wong. "A New Hybrid Framework to Efficiently Model Lines of Sight to Gravitational Lenses." arXiv:1401.0197 (2013). https://pith.science/paper/XCDFNXVH

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.15 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

In strong gravitational lens systems, the light bending is usually dominated by one main galaxy, but may be affected by other mass along the line of sight (LOS). Shear and convergence can be used to approximate the contributions from less significant perturbers (e.g. those that are projected far from the lens or have a small mass), but higher order effects need to be included for objects that are closer or more massive. We develop a framework for multiplane lensing that can handle an arbitrary combination of tidal planes treated with shear and convergence and planes treated exactly (i.e., including higher order terms). This framework addresses all of the traditional lensing observables including image positions, fluxes, and time delays to facilitate lens modelling that includes the non-linear effects due to mass along the LOS. It balances accuracy (accounting for higher-order terms when necessary) with efficiency (compressing all other LOS effects into a set of matrices that can be calculated up front and cached for lens modelling). We identify a generalized multiplane mass sheet degeneracy, in which the effective shear and convergence are sums over the lensing planes with specific, redshift-dependent weighting factors.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In strong gravitational lens systems, the light bending is usually dominated by one main galaxy, but may be affected by other mass along the line of sight (LOS).	background 1.00	0.06	0.03	hedged possibility 0.71
s1	Shear and convergence can be used to approximate the contributions from less significant perturbers (e.g. those that are projected far from the lens or have a small mass), but higher order effects need to be included for objects that are closer or more massive.	background 0.96	0.07	0.05	asserted 0.90
s2	We develop a framework for multiplane lensing that can handle an arbitrary combination of tidal planes treated with shear and convergence and planes treated exactly (i.e., including higher order terms).	contribution 0.70	0.96	0.24	asserted 1.00
s3	This framework addresses all of the traditional lensing observables including image positions, fluxes, and time delays to facilitate lens modelling that includes the non-linear effects due to mass along the LOS.	contribution 0.83	0.79	0.20	asserted 1.00
s4	It balances accuracy (accounting for higher-order terms when necessary) with efficiency (compressing all other LOS effects into a set of matrices that can be calculated up front and cached for lens modelling).	method 0.58	0.82	0.19	asserted 1.00
s5	We identify a generalized multiplane mass sheet degeneracy, in which the effective shear and convergence are sums over the lensing planes with specific, redshift-dependent weighting factors.	result 0.76	0.94	0.22	asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from proof or derivation 0.84.

What was examined, and what was not

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arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

In strong gravitational lens systems, the light bending is usually dominated by one main galaxy, but may be affected by other mass along the line of sight (LOS). Shear and convergence can be used to approximate the contributions from less significant perturbers (e.g. those that are projected far from the lens or have a small mass), but higher order effects need to be included for objects that are closer or more massive. We develop a framework for multiplane lensing that can handle an arbitrary combination of tidal planes treated with shear and convergence and planes treated exactly (i.e., including higher order terms). This framework addresses all of the traditional lensing observables including image positions, fluxes, and time delays to facilitate lens modelling that includes the non-linear effects due to mass along the LOS. It balances accuracy (accounting for higher-order terms when necessary) with efficiency (compressing all other LOS effects into a set of matrices that can be calculated up front and cached for lens modelling). We identify a generalized multiplane mass sheet degeneracy, in which the effective shear and convergence are sums over the lensing planes with specific, redshift-dependent weighting factors.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Cosmological lensing as a jump process
astro-ph.CO 2026-10 conditional novelty 6.0 of 10

Lensing by discrete structures is solved as a compound jump process, giving a closed-form characteristic function and sampling-free joint convergence-shear and magnification PDFs.
Cosmology with strong gravitational lenses
astro-ph.CO 2026-10 accept

Strong gravitational lensing provides a purely gravitational probe that measures H0 at 3% precision from 11 lensed quasars and hints at dark matter self-interaction from dense subhalos.

How later papers used it

46 later papers cite it

Evidence: substantial. 30 of the citing papers share no author with it, and 6 of those carry a confident label from Pith's citation classifier.

Pith read 13 of the 82 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

1 paper by the same authors is listed below: 1 cited it as support.

Cites it as support 1 of 2 papers with this label · 1 by the same authors

By the same authors

Said that the most significant perturbers are particularly important to model, as their effects may not be adequately accounted for by external shear alone, citing this paper.

H0LiCOW IV. Lens mass model of HE 0435-1223 and blind measurement of its time-delay distance for cosmology (2016) (same authors) · 0.96 · paraphrased: the licence does not allow quoting

How the literature uses it

8 arXiv papers cite this in 18 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 12 sentences without a confident label

Compares with it 2 papers

The main difference between that work and ours here, is that [ref] considered the role of intermediate sources as additional deflectors, that must be modeled separately from the main lens, and that exhibit a residual multi-lens version of the MSD.

Comments on the mass sheet degeneracy in cosmography analyses · Introduction · 1.00
(35) of [ref] ; it also coincides with eq.

Gravitational lenses in arbitrary space-times · Lens equation · 0.98

Cites it as support 1 paper

Also, the mass between the main lens and the observer typically affects the lensing potential more than those between the main lens and the source [ref] .

A Spectroscopic Survey of the Fields of 28 Strong Gravitational Lenses: The Group Catalog · Significant Line-of-Sight Structures in Lens Fields · 0.97

Cites it as background 1 paper

A related discussion of the multi-source MSD was given in [ref] .

Comments on the mass sheet degeneracy in cosmography analyses · Introduction · 0.87

What it cites · 1 sentence without a confident label

Cites as background 1 paper

This `two-screen lensing' can produce new lensing phenomena that have been studied in detail theoretically [ref] .

Perturbation of Gravitational Lensing · Introduction · 0.94

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