autogalaxy.profiles.light_and_mass_profiles.GaussianGradient

class GaussianGradient

Bases: Gaussian, GaussianGradient, LightMassProfile

The elliptical Gaussian light profile with a gradient in its mass to light conversion.

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

Parameters:

• centre (Tuple[float, float]) – The grid of 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 – The radius containing half the light of this light profile.

• mass_to_light_ratio_base (float) – The base mass-to-light ratio of the profile, which is the mass-to-light ratio of the Gaussian before it is scaled by values that adjust its mass-to-light ratio based on the reference radius and gradient.

• mass_to_light_gradient (float) – The mass-to-light radial gradient of the profile, whereby positive values means there is more mass per unit light within the reference radius.

• mass_to_light_radius (float) – The radius where the mass-to-light ratio is equal to the base mass-to-light ratio, such that there will be more of less mass per unit light within this radius depending on the mass-to-light 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_func	Returns the convergence of the mass profile as a function of the radial coordinate.
deflections_2d_via_analytic_from	Calculate the deflection angles at a given set of arc-second gridded coordinates.
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_yx_2d_from	Calculate the deflection angles at a given set of arc-second gridded 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 Gaussian 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 Gaussian light profile from a grid of coordinates which are the radial distance of each coordinate from the its centre.
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.
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(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.
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
wofz	JAX-compatible Faddeeva function w(z) = exp(-z^2) * erfc(-i z) Based on the Poppe–Wijers / Zaghloul–Ali rational approximations.
zeta_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).
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).