autogalaxy.profiles.mass.DevVaucouleurs#

class DevVaucouleurs[source]#

Bases: Sersic

The DevVaucouleurs mass profile, the mass profiles of the light profiles that are used to fit and subtract the lens model_galaxy’s light.

Parameters:
  • centre (Tuple[float, float]) – The (y,x) arc-second coordinates of the profile centre.

  • ell_comps (Tuple[float, float]) – The first and second ellipticity components of the elliptical coordinate system.

  • intensity (float) – Overall flux intensity normalisation in the light profiles (electrons per second).

  • effective_radius (float) – The radius containing half the light of this profile.

  • mass_to_light_ratio (float) – The mass-to-light ratio of the light profile.

Methods

angle

The position angle in degrees of the major-axis of the ellipse defined by profile, defined counter clockwise from the positive x-axis (0.0 > angle > 180.0).

angle_radians

The position angle in radians of the major-axis of the ellipse defined by profile, defined counter clockwise from the positive x-axis (0.0 > angle > 2pi).

angle_to_profile_grid_from

The angle between each angle theta on the grid and the profile, in radians.

axis_ratio

The ratio of the minor-axis to major-axis (b/a) of the ellipse defined by profile (0.0 > q > 1.0).

convergence_2d_from

Calculate the projected convergence at a given set of arc-second gridded coordinates.

convergence_2d_via_cse_from

Calculate the projected 2D convergence from a grid of (y,x) arc second coordinates, by computing and summing the convergence of each individual cse used to decompose the mass profile.

convergence_cse_1d_from

One dimensional function which is solved to decompose a convergence profile in cored steep ellipsoids, given by equation (14) of Oguri 2021 (https://arxiv.org/abs/2106.11464).

convergence_func

Returns the convergence of the mass profile as a function of the radial coordinate.

decompose_convergence_via_cse

Decompose the convergence of the Sersic profile into cored steep elliptical (cse) profiles.

deflections_2d_via_cse_from

Calculate the projected 2D deflection angles from a grid of (y,x) arc second coordinates, by computing and summing the convergence of each individual cse used to decompose the mass profile.

deflections_2d_via_potential_2d_from

Returns the 2D deflection angles of the mass profile by numerically differentiating the lensing potential on the input grid.

deflections_via_cse_from

Returns the deflection angles of a 1d cored steep ellisoid (CSE) profile, given by equation (19) and (20) of Oguri 2021 (https://arxiv.org/abs/2106.11464).

deflections_yx_2d_from

Returns the 2D deflection angles of the mass profile from a 2D grid of Cartesian (y,x) coordinates.

density_between_circular_annuli

Calculate the mass between two circular annuli and compute the density by dividing by the annuli surface area.

eccentric_radii_grid_from

Convert a grid of (y,x) coordinates to an eccentric radius: :math: axis_ratio^0.5 (x^2 + (y^2/q))^0.5

elliptical_radii_grid_from

Convert a grid of (y,x) coordinates to their elliptical radii values: :math: (x^2 + (y^2/q))^0.5

extract_attribute

Returns an attribute of a class and its children profiles in the galaxy as a ValueIrregular or Grid2DIrregular object.

has

Returns True if any attribute of this profile is an instance of the input class cls, else False.

image_2d_via_radii_from

Returns the intensity of the profile at a given radius.

mass_angular_within_circle_from

Integrate the mass profiles's convergence profile to compute the total mass within a circle of specified radius.

mass_integral

Integrand used by mass_angular_within_circle_from to compute the total projected mass within a circle.

potential_2d_from

Returns the 2D lensing potential of the mass profile from a 2D grid of Cartesian (y,x) coordinates.

potential_func

Returns the integrand of the lensing potential at a single point, used in numerical integration schemes for computing the potential from the mass profile's convergence.

radial_grid_from

Convert a grid of (y, x) coordinates, to their radial distances from the profile centre (e.g. :math: r = sqrt(x**2 + y**2)).

rotated_grid_from_reference_frame_from

Rotate a grid of (y,x) coordinates which have been transformed to the elliptical reference frame of a profile back to the original unrotated coordinate grid reference frame.

transformed_from_reference_frame_grid_from

Transform a grid of (y,x) coordinates from the reference frame of the profile to the original observer reference frame.

transformed_to_reference_frame_grid_from

Transform a grid of (y,x) coordinates to the reference frame of the profile.

Attributes

average_convergence_of_1_radius

The radius a critical curve forms for this mass profile, e.g. where the mean convergence is equal to 1.0.

elliptical_effective_radius

The effective_radius of a Sersic light profile is defined as the circular effective radius.

ellipticity_rescale

A rescaling factor applied to account for the ellipticity of the mass profile when computing the Einstein radius from the average convergence equals unity criterion.

sersic_constant

A parameter derived from Sersic index which ensures that effective radius contains 50% of the profile's total integrated light.