Source code for autogalaxy.profiles.mass.stellar.gaussian_gradient
from typing import Tuple
from autogalaxy.profiles.mass.stellar.gaussian import Gaussian
[docs]
class GaussianGradient(Gaussian):
def __init__(
self,
centre: Tuple[float, float] = (0.0, 0.0),
ell_comps: Tuple[float, float] = (0.0, 0.0),
intensity: float = 0.1,
sigma: float = 1.0,
mass_to_light_ratio_base: float = 1.0,
mass_to_light_gradient: float = 0.0,
mass_to_light_radius: float = 1.0,
):
r"""
The elliptical Gaussian light profile with a gradient in its mass to light conversion.
$\Psi (r) = \Psi_{o} \frac{(\sigma + 0.01)}{R_{ref}}^{\Tau}$
Where:
$\Psi (r)$ is the 1D convergence profile of the Gaussian [dimensionless].
$\Psi_{o}$ is the base mass-to-light ratio of the profile [dimensionless].
$\sigma$ is the sigma value of the Gaussian [arc-seconds].
$r$ is the radius from the centre of the profile [arc-seconds].
$R_{ref}$ is the reference radius where the mass-to-light ratio is equal to $\Psi_{o} [arc-seconds].
$\Tau$ is the mass-to-light gradient of the profile [dimensionless].
Parameters
----------
centre
The (y,x) arc-second coordinates of the profile centre.
ell_comps
The first and second ellipticity components of the elliptical coordinate system.
intensity
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).
sigma
The sigma value of the Gaussian.
mass_to_light_ratio_base
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
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
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.
"""
self.mass_to_light_ratio_base = mass_to_light_ratio_base
self.mass_to_light_gradient = mass_to_light_gradient
self.mass_to_light_radius = mass_to_light_radius
mass_to_light_ratio = (
self.mass_to_light_ratio_base
* ((sigma + 0.01) / self.mass_to_light_radius)
** self.mass_to_light_gradient
)
super().__init__(
centre=centre,
ell_comps=ell_comps,
intensity=intensity,
sigma=sigma,
mass_to_light_ratio=mass_to_light_ratio,
)