# autogalaxy.profiles.light.standard.ChameleonSph#

class ChameleonSph[source]#

Bases: `Chameleon`

The spherical Chameleon light profile.

This light profile closely approximes the Elliptical Sersic light profile, by representing it as two cored elliptical isothermal profiles. This is convenient for lensing calculations, because the deflection angles of an isothermal profile can be evaluated analyticially efficiently.

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

• ell_comps – The first and second ellipticity components of the elliptical coordinate system.

• intensity (`float`) – Overall intensity normalisation of the light profile (units are dimensionless and derived from the data the light profile’s image is compared too, which is expected to be electrons per second).

• core_radius_0 (`float`) – The core size of the first elliptical cored Isothermal profile.

• core_radius_1 (`float`) – The core size of the second elliptical cored Isothermal profile.

Methods

 `angle_to_profile_grid_from` The angle between each angle theta on the grid and the profile, in radians. `blurred_image_2d_from` Evaluate the light object's 2D image from a input 2D grid of coordinates and convolve it with a PSF. `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 `has` Does this instance have an attribute which is of type cls? `image_1d_from` Returns the light profile's 1D image from a grid of Cartesian coordinates, which may have been transformed using the light profile's geometry. `image_2d_from` Returns the Chameleon 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. `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. `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. `radial_grid_from` Convert a grid of (y, x) coordinates, to their radial distances from the profile centre (e.g. `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.

Attributes

 `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). `axis_ratio` The elliptical isothermal mass profile deflection angles break down for perfectly spherical systems where axis_ratio=1.0, thus we remove these solutions. `half_light_radius` rtype: `float`