The Dependence of The Gravitational Lensing Properties on The Lens And Source Redshifts

Hiba Ahmed  Abd Al-Lateef; Hareth Saad  Mahdi

doi:10.24996/ijs.2022.63.2.39

Authors

Hiba Ahmed Abd Al-Lateef Department of Astronomy and Space, College of Science, University of Baghdad, Baghdad, Iraq
Hareth Saad Mahdi Department of Astronomy and Space, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.2.39

Keywords:

gravitational lensing, Redshift, angular diameter distance, critical surface mass density

Abstract

This work aims to investigate the dependence of gravitational lensing properties on the lens redshift and source redshift.

The angular diameter distance hereafter referred to as ADD has been determined using two different numerical integral methods, Simpson's rule, and definite integral methods. Both of those two methods gave identical results. In addition, observational data of gravitational Lensing systems have been used to find the most probable value of lens redshift and source redshift. The result showed that the lens redshift and source redshift are more likely to occur in the ranges of z_L=0.2-0.6 and z_S=1-3, respectively.

Einstein radius and the critical surface mass density have been studied for those ranges of lens and source redshift. The result clearly showed that the redshifts and distances affect the lensing properties. This indicates that observations of gravitational lensing can be efficiently used to probe the distances and redshifts.