Recursion relations for gravitational lensing

dc.contributor.author	Clarkson, Chris
dc.contributor.author	Normann, Ben David
dc.date.accessioned	2021-02-08T08:08:28Z
dc.date.available	2021-02-08T08:08:28Z
dc.date.issued	2019
dc.description.abstract	The weak gravitational lensing formalism can be extended to the strong lensing regime by integrating a nonlinear version of the geodesic deviation equation. The resulting ‘roulette’ expansion generalises the notion of convergence, shear and flexion to arbitrary order. The independent coefficients of this expansion are screen space gradients of the optical tidal tensor which approximates to the usual lensing potential in the weak field limit. From lensed images, knowledge of the roulette coefficients can in principle be inverted to reconstruct the mass distribution of a lens. In this paper, we simplify the roulette expansion and derive a family of recursion relations between the various coefficients, generalising the Kaiser–Squires relations beyond the weak-lensing regime.	en_US
dc.identifier.citation	Normann, B.D., Clarkson, C. Recursion relations for gravitational lensing. Gen Relativ Gravit 52, 28 (2020).	en_US
dc.identifier.uri	https://doi.org/10.1007/s10714-020-02677-z
dc.identifier.uri	http://hdl.handle.net/10566/5845
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Gravitational lensing	en_US
dc.subject	Roulette formalism	en_US
dc.subject	Recursion relations	en_US
dc.subject	Weak-lensing regime	en_US
dc.title	Recursion relations for gravitational lensing	en_US
dc.type	Article	en_US

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