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Notebooks to generate figures for papers making use of wavelets in the context of lens modelling

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Flexible lens modeling with Wavelets

This repository gathers notebooks and resources to reproduce the results of Galan et al. 2021 and Galan et al. 2022.

Paper II

Using wavelets to capture deviations from smoothness in galaxy-scale strong lenses: Galan et al. 2022

Multi-scale model of the lens potential

We introduce a forward pixelated method to reconstruct perturbations to a smooth lens potential on a grid of pixels. The model is regularized using a well-motivated multi-scale approach based on wavelet transforms and sparsity constraints.

We test and validate the method on three very different types of perturbations:

  • localized dark subhalo ("LS")
  • population of substructures along the line of sight ("PS")
  • high-order multipoles in the lens galaxy ("HM")

pixelated potential results

Note: to run the notebooks in the paper_II directory, it is advised to use the paper2 branch from Herculens.

Fully differentiable lens modeling with Herculens

This works also releases a new open-source modeling software package. Called Herculens, its main feature is the exact computation of the gradient and higher-order derivatives of the loss function based on JAX. This enables robust convergence to the solution, fast estimation of parameter covariances, and improved sampling in high-dimensional parameter space.

herculens flowchart

Paper I

SLITronomy: Towards a fully wavelet-based strong lensing inversion technique: Galan et al. 2021

Introduction of an optimised implementation of the SLIT algorithms: SLITronomy. It is easily accessible through the lenstronomy package. We show applications on both simulated and real HST data, and anticipate the requirements of future E-ELT imaging data.

Reconstruction of source galaxies from the SLACS sample

Source reconstruction for the system SDSSJ1250+0523, assuming lens model of Shajib et al. 2020.

SDSSJ1250+0523 source reconstruction

Reconstruction of a lensed source galaxies based on future E-ELT data

Source reconstruction for mock E-ELT data, assuming known lens model.

ELT source reconstruction

Support of analytical lens model inference

Joint source reconstruction and lens model posterior inference from mock HST data. The posterior sampling is performed through MCMC capabilities of lenstronomy, and marginalised over choices of the source pixel size.

lens model posteriors

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Notebooks to generate figures for papers making use of wavelets in the context of lens modelling

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