Strong Lensing Reconstruction

Area of Science:

• Cosmology
• Astrophysics
• Gravitational Lensing

Background:

• Measuring surface mass density is crucial for understanding cosmic structure formation.
• Strong gravitational lensing provides a unique probe of mass distributions.

Purpose of the Study:

• To develop a general linear algorithm for surface mass density reconstruction.
• To improve signal-to-noise ratio in lensing measurements.

Main Methods:

• Decomposition of the observed polarization field into electric and magnetic components.
• Combining independent and redundant solutions with orthogonal noise properties.
• Dynamic optimization in real and Fourier space using arbitrary smoothing windows.

Main Results:

• A general linear algorithm for surface mass density (1-kappa) reconstruction from reduced shear (g).
• Signal-to-noise ratio enhancement by a factor of 2 through combining electric and magnetic solutions.
• Demonstration that boundary conditions do not affect reconstruction quality, only signal-to-noise ratio.

Conclusions:

• The presented framework unifies existing reconstruction techniques.
• The magnetic solution provides global and local parity information efficiently.
• This method offers a robust and optimized approach for mass density mapping in strong lensing regimes.