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Mass Profiles

This section covers the various lens mass profiles implemented in GLEE.

General Remarks​

Below are important notes regarding the profiles used in GLEE.

The strength of the profiles (e.g., ΘE\Theta_E: the Einstein radius) corresponds to the true deflection angles (α^\hat\alpha), not the scaled deflection angles (α\alpha).

  • In single-plane lensing, the D_ds / D_s factors will be multiplied by the true deflection angles to obtain the scaled deflection angle for ray tracing via the lens equation.
  • In multi-plane lensing, the redshift/distance factors are incorporated into the recursive multi-plane lens equation for ray tracing.
  • If D_ds / D_s = 1 for a specific source (sources/esources in the config file), then the Einstein radius in the lens profiles corresponds directly to the observed lensed image separation for the specific lens and source redshifts.
  • If D_ds / D_s is set to its actual value (e.g., 0.48, based on spectroscopic z_d and z_s measurements), then the Einstein radius in the lenses_vary section of the config file represents the Einstein radius for a source at redshift infinity, rather than the specific lens-source redshift pair.
  • If D_ds / D_s ≠ 1.0, the "scale:" parameter in theta_e will correspond to the Einstein radius of a lens profile for a source at redshift infinity, since normalizations are defined before multiplying the D_ds / D_s factor.
  • To avoid numerical singularities, some profiles include a softening radius (r_soft).
    • The default value is 1e-4.
    • Users can override this value in the GLEE config file using: Rsoft xyz

Below is a list of all detailed profile documentation: