autogalaxy.profiles.light_linear_and_mass_profiles.SersicGradient#

class SersicGradient[source]#

Bases: Sersic, SersicGradient, LightMassProfile

The elliptical Sersic light and mass profile, with a radial gradient in the conversion of light to mass..

This simultaneously represents the luminous emission and stellar mass of a galaxy.

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 light profile.
sersic_index (float) – The concentration of the light profiles.
mass_to_light_ratio (float) – The mass-to-light ratio of the light profiles.
mass_to_light_gradient (float) – The mass-to-light radial gradient.

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).
`blurred_image_2d_from`	Evaluate the light object's 2D image from a input 2D grid of coordinates and convolve it with a PSF.
`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 singular isothermal elliptical (sie) profiles.
`decompose_convergence_via_mge`
`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_from`	Returns the Sersic light profile's 2D image from a 2D grid of Cartesian (y,x) coordinates.
`image_2d_via_radii_from`	Returns the 2D image of the Sersic light profile from a grid of coordinates which are the radial distances of each coordinate from the its centre.
`lp_instance_from`	Creates an instance of a linear light profile using its parent normal light profile (e.g. the non linear variant which has an intensity parameter).
`luminosity_integral`	Routine to integrate the luminosity of an elliptical light profile.
`luminosity_within_circle_from`	Integrate the light profile to compute the total luminosity within a circle of specified 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.
`padded_image_2d_from`	Evaluate the light object's 2D image from a input 2D grid of padded coordinates, where this padding is sufficient to encapsulate all surrounding pixels that will blur light into the original image given the 2D shape of the PSF's kernel.
`parameters_dict_from`	Returns a dictionary of the parameters of the linear light profile with the intensity added.
`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_deflection_from`
`radial_grid_from`	Convert a grid of (y, x) coordinates, to their radial distances from the profile centre (e.g. :math: r = sqrt(x2 + y2)).
`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.
`unmasked_blurred_image_2d_from`	Evaluate the light object's 2D image from a input 2D grid of coordinates and convolve it with a PSF, using a grid which is not masked.
`visibilities_from`	Evaluate the light object's 2D image from a input 2D grid of coordinates and transform this to an array of visibilities using a autoarray.operators.transformer.Transformer object and therefore a Fourier Transform.
`vmapped_deflections_from`

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.
`coefficient_tag`	A short string tag used to label the intensity coefficient when this profile is used inside a Basis object (e.g. for multi-Gaussian expansion or shapelet decomposition).
`elliptical_effective_radius`	The effective_radius of a Sersic light profile is defined as the circular effective radius, which is the radius within which a circular aperture contains half the profile's total integrated light.
`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.
`half_light_radius`	The radius that contains half of the total light of the profile (the half-light radius).
`regularization`
`sersic_constant`	A parameter derived from Sersic index which ensures that effective radius contains 50% of the profile's total integrated light.
`standard_lp_parent`	Returns the first parent class of the linear light profile which is not a linear light profile itself.