class TestCoredDensity(object):
    """
    tests the Gaussian methods
    """
    def setup(self):
        self.model = CoredDensity()

    def test_function(self):
        r = np.linspace(start=0.01, stop=2, num=10)
        sigma0 = 0.2
        r_core = 5
        f_ = self.model.function(r, 0, sigma0, r_core)
        delta = 0.0001
        f_d = self.model.function(r + delta, 0, sigma0, r_core)
        f_x_num = (f_d - f_) / delta
        f_x, _ = self.model.derivatives(r, 0, sigma0, r_core)
        npt.assert_almost_equal(f_x_num, f_x, decimal=3)

    def test_derivatives(self):
        pass

    def test_dalpha_dr(self):
        x = np.array([1, 3, 4])
        y = np.array([2, 1, 1])
        r = np.sqrt(x**2 + y**2)
        sigma0 = 0.1
        r_core = 7.
        dalpha_dr = self.model.d_alpha_dr(r, sigma0, r_core)
        alpha_r = self.model.alpha_r(r, sigma0, r_core)
        delta = 0.00001
        d_alpha_r = self.model.alpha_r(r + delta, sigma0, r_core)
        d_alpha_dr_num = (d_alpha_r - alpha_r) / delta
        npt.assert_almost_equal(dalpha_dr, d_alpha_dr_num)

    def test_hessian(self):
        x = np.linspace(start=0.01, stop=100, num=100)
        y = 0
        r = np.sqrt(x**2 + y**2)
        sigma0 = 0.1
        r_core = 7
        f_xx, f_xy, f_yx, f_yy = self.model.hessian(x, y, sigma0, r_core)
        kappa = 1. / 2 * (f_xx + f_yy)
        kappa_direct = self.model.kappa_r(r, sigma0, r_core)
        npt.assert_almost_equal(kappa, kappa_direct, decimal=5)
        npt.assert_almost_equal(f_xy, f_yx, decimal=8)

    def test_mass_3d(self):
        x = np.array([1, 3, 4])
        y = np.array([2, 1, 1])
        r = np.sqrt(x**2 + y**2)
        sigma0 = 0.1
        r_core = 7
        m3d = self.model.mass_3d(r, sigma0, r_core)
        m3d_lens = self.model.mass_3d_lens(r, sigma0, r_core)
        npt.assert_almost_equal(m3d, m3d_lens, decimal=8)
Example #2
0
 def __init__(self, profile_type='CORED_DENSITY'):
     if profile_type == 'CORED_DENSITY':
         self._profile = CoredDensity()
     elif profile_type == 'CORED_DENSITY_2':
         self._profile = CoredDensity2()
     else:
         raise ValueError(
             'profile_type %s not supported for CoredDensityMST instance.' %
             profile_type)
     self._convergence = Convergence()
     super(CoredDensityMST, self).__init__()
Example #3
0
 def __init__(self, profile_type='CORED_DENSITY'):
     if profile_type == 'CORED_DENSITY':
         self._profile = CoredDensity()
     elif profile_type == 'CORED_DENSITY_2':
         self._profile = CoredDensity2()
     elif profile_type == 'CORED_DENSITY_EXP':
         self._profile = CoredDensityExp()
     # Due to parameters name conventions/positioning, right now only the free soliton with
     # the default value of slope = 8 is supported 
     elif profile_type == 'CORED_DENSITY_ULDM':
         self._profile = Uldm()
     else:
         raise ValueError('profile_type %s not supported for CoredDensityMST instance.' % profile_type)
     self._convergence = Convergence()
     super(CoredDensityMST, self).__init__()
 def setup(self):
     self.model = CoredDensity()
    def _import_class(lens_type, custom_class, z_lens=None, z_source=None):
        """

        :param lens_type: string, lens model type
        :param custom_class: custom class
        :param z_lens: lens redshift  # currently only used in NFW_MC model as this is redshift dependent
        :param z_source: source redshift  # currently only used in NFW_MC model as this is redshift dependent
        :return: class instance of the lens model type
        """

        if lens_type == 'SHIFT':
            from lenstronomy.LensModel.Profiles.alpha_shift import Shift
            return Shift()
        elif lens_type == 'SHEAR':
            from lenstronomy.LensModel.Profiles.shear import Shear
            return Shear()
        elif lens_type == 'SHEAR_GAMMA_PSI':
            from lenstronomy.LensModel.Profiles.shear import ShearGammaPsi
            return ShearGammaPsi()
        elif lens_type == 'CONVERGENCE':
            from lenstronomy.LensModel.Profiles.convergence import Convergence
            return Convergence()
        elif lens_type == 'FLEXION':
            from lenstronomy.LensModel.Profiles.flexion import Flexion
            return Flexion()
        elif lens_type == 'FLEXIONFG':
            from lenstronomy.LensModel.Profiles.flexionfg import Flexionfg
            return Flexionfg()
        elif lens_type == 'POINT_MASS':
            from lenstronomy.LensModel.Profiles.point_mass import PointMass
            return PointMass()
        elif lens_type == 'SIS':
            from lenstronomy.LensModel.Profiles.sis import SIS
            return SIS()
        elif lens_type == 'SIS_TRUNCATED':
            from lenstronomy.LensModel.Profiles.sis_truncate import SIS_truncate
            return SIS_truncate()
        elif lens_type == 'SIE':
            from lenstronomy.LensModel.Profiles.sie import SIE
            return SIE()
        elif lens_type == 'SPP':
            from lenstronomy.LensModel.Profiles.spp import SPP
            return SPP()
        elif lens_type == 'NIE':
            from lenstronomy.LensModel.Profiles.nie import NIE
            return NIE()
        elif lens_type == 'NIE_SIMPLE':
            from lenstronomy.LensModel.Profiles.nie import NIEMajorAxis
            return NIEMajorAxis()
        elif lens_type == 'CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import Chameleon
            return Chameleon()
        elif lens_type == 'DOUBLE_CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import DoubleChameleon
            return DoubleChameleon()
        elif lens_type == 'TRIPLE_CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import TripleChameleon
            return TripleChameleon()
        elif lens_type == 'SPEP':
            from lenstronomy.LensModel.Profiles.spep import SPEP
            return SPEP()
        elif lens_type == 'SPEMD':
            from lenstronomy.LensModel.Profiles.spemd import SPEMD
            return SPEMD()
        elif lens_type == 'SPEMD_SMOOTH':
            from lenstronomy.LensModel.Profiles.spemd_smooth import SPEMD_SMOOTH
            return SPEMD_SMOOTH()
        elif lens_type == 'NFW':
            from lenstronomy.LensModel.Profiles.nfw import NFW
            return NFW()
        elif lens_type == 'NFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.nfw_ellipse import NFW_ELLIPSE
            return NFW_ELLIPSE()
        elif lens_type == 'NFW_ELLIPSE_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import NFWEllipseGaussDec
            return NFWEllipseGaussDec()
        elif lens_type == 'TNFW':
            from lenstronomy.LensModel.Profiles.tnfw import TNFW
            return TNFW()
        elif lens_type == 'CNFW':
            from lenstronomy.LensModel.Profiles.cnfw import CNFW
            return CNFW()
        elif lens_type == 'CNFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.cnfw_ellipse import CNFW_ELLIPSE
            return CNFW_ELLIPSE()
        elif lens_type == 'CTNFW_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import CTNFWGaussDec
            return CTNFWGaussDec()
        elif lens_type == 'NFW_MC':
            from lenstronomy.LensModel.Profiles.nfw_mass_concentration import NFWMC
            return NFWMC(z_lens=z_lens, z_source=z_source)
        elif lens_type == 'SERSIC':
            from lenstronomy.LensModel.Profiles.sersic import Sersic
            return Sersic()
        elif lens_type == 'SERSIC_ELLIPSE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.sersic_ellipse_potential import SersicEllipse
            return SersicEllipse()
        elif lens_type == 'SERSIC_ELLIPSE_KAPPA':
            from lenstronomy.LensModel.Profiles.sersic_ellipse_kappa import SersicEllipseKappa
            return SersicEllipseKappa()
        elif lens_type == 'SERSIC_ELLIPSE_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition \
                import SersicEllipseGaussDec
            return SersicEllipseGaussDec()
        elif lens_type == 'PJAFFE':
            from lenstronomy.LensModel.Profiles.p_jaffe import PJaffe
            return PJaffe()
        elif lens_type == 'PJAFFE_ELLIPSE':
            from lenstronomy.LensModel.Profiles.p_jaffe_ellipse import PJaffe_Ellipse
            return PJaffe_Ellipse()
        elif lens_type == 'HERNQUIST':
            from lenstronomy.LensModel.Profiles.hernquist import Hernquist
            return Hernquist()
        elif lens_type == 'HERNQUIST_ELLIPSE':
            from lenstronomy.LensModel.Profiles.hernquist_ellipse import Hernquist_Ellipse
            return Hernquist_Ellipse()
        elif lens_type == 'GAUSSIAN':
            from lenstronomy.LensModel.Profiles.gaussian_potential import Gaussian
            return Gaussian()
        elif lens_type == 'GAUSSIAN_KAPPA':
            from lenstronomy.LensModel.Profiles.gaussian_kappa import GaussianKappa
            return GaussianKappa()
        elif lens_type == 'GAUSSIAN_ELLIPSE_KAPPA':
            from lenstronomy.LensModel.Profiles.gaussian_ellipse_kappa import GaussianEllipseKappa
            return GaussianEllipseKappa()
        elif lens_type == 'GAUSSIAN_ELLIPSE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.gaussian_ellipse_potential import GaussianEllipsePotential
            return GaussianEllipsePotential()
        elif lens_type == 'MULTI_GAUSSIAN_KAPPA':
            from lenstronomy.LensModel.Profiles.multi_gaussian_kappa import MultiGaussianKappa
            return MultiGaussianKappa()
        elif lens_type == 'MULTI_GAUSSIAN_KAPPA_ELLIPSE':
            from lenstronomy.LensModel.Profiles.multi_gaussian_kappa import MultiGaussianKappaEllipse
            return MultiGaussianKappaEllipse()
        elif lens_type == 'INTERPOL':
            from lenstronomy.LensModel.Profiles.interpol import Interpol
            return Interpol()
        elif lens_type == 'INTERPOL_SCALED':
            from lenstronomy.LensModel.Profiles.interpol import InterpolScaled
            return InterpolScaled()
        elif lens_type == 'SHAPELETS_POLAR':
            from lenstronomy.LensModel.Profiles.shapelet_pot_polar import PolarShapelets
            return PolarShapelets()
        elif lens_type == 'SHAPELETS_CART':
            from lenstronomy.LensModel.Profiles.shapelet_pot_cartesian import CartShapelets
            return CartShapelets()
        elif lens_type == 'DIPOLE':
            from lenstronomy.LensModel.Profiles.dipole import Dipole
            return Dipole()
        elif lens_type == 'CURVED_ARC':
            from lenstronomy.LensModel.Profiles.curved_arc import CurvedArc
            return CurvedArc()
        elif lens_type == 'ARC_PERT':
            from lenstronomy.LensModel.Profiles.arc_perturbations import ArcPerturbations
            return ArcPerturbations()
        elif lens_type == 'coreBURKERT':
            from lenstronomy.LensModel.Profiles.coreBurkert import CoreBurkert
            return CoreBurkert()
        elif lens_type == 'CORED_DENSITY':
            from lenstronomy.LensModel.Profiles.cored_density import CoredDensity
            return CoredDensity()
        elif lens_type == 'CORED_DENSITY_2':
            from lenstronomy.LensModel.Profiles.cored_density_2 import CoredDensity2
            return CoredDensity2()
        elif lens_type == 'CORED_DENSITY_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY')
        elif lens_type == 'CORED_DENSITY_2_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY_2')
        elif lens_type == 'NumericalAlpha':
            from lenstronomy.LensModel.Profiles.numerical_deflections import NumericalAlpha
            return NumericalAlpha(custom_class)
        else:
            raise ValueError('%s is not a valid lens model' % lens_type)
Example #6
0
class CoredDensityMST(LensProfileBase):
    """
    approximate mass-sheet transform of a density core. This routine takes the parameters of the density core and
    subtracts a mass=sheet that approximates the cored profile in it's center to counter-act (in approximation) this
    model. This allows for better sampling of the mass-sheet transformed quantities that do not have strong covariances.
    Attention!!! The interpretation of the result is that the mass sheet as 'CONVERGENCE' that is present needs to be
    subtracted in post-processing.
    """
    param_names = ['lambda_approx', 'r_core', 'center_x', 'center_y']
    lower_limit_default = {
        'lambda_approx': -1,
        'r_core': 0,
        'center_x': -100,
        'center_y': -100
    }
    upper_limit_default = {
        'lambda_approx': 10,
        'r_core': 100,
        'center_x': 100,
        'center_y': 100
    }

    def __init__(self, profile_type='CORED_DENSITY'):
        if profile_type == 'CORED_DENSITY':
            self._profile = CoredDensity()
        elif profile_type == 'CORED_DENSITY_2':
            self._profile = CoredDensity2()
        else:
            raise ValueError(
                'profile_type %s not supported for CoredDensityMST instance.' %
                profile_type)
        self._convergence = Convergence()
        super(CoredDensityMST, self).__init__()

    def function(self, x, y, lambda_approx, r_core, center_x=0, center_y=0):
        """
        lensing potential of approximate mass-sheet correction

        :param x: x-coordinate
        :param y: y-coordinate
        :param lambda_approx: approximate mass sheet transform
        :param r_core: core radius of the cored density profile
        :param center_x: x-center of the profile
        :param center_y: y-center of the profile
        :return: lensing potential correction
        """
        kappa_ext = 1 - lambda_approx
        f_cored_density = self._profile.function(x, y, kappa_ext, r_core,
                                                 center_x, center_y)
        f_ms = self._convergence.function(x, y, kappa_ext, center_x, center_y)
        return f_cored_density - f_ms

    def derivatives(self, x, y, lambda_approx, r_core, center_x=0, center_y=0):
        """
        deflection angles of approximate mass-sheet correction

        :param x: x-coordinate
        :param y: y-coordinate
        :param lambda_approx: approximate mass sheet transform
        :param r_core: core radius of the cored density profile
        :param center_x: x-center of the profile
        :param center_y: y-center of the profile
        :return: alpha_x, alpha_y
        """
        kappa_ext = 1 - lambda_approx
        f_x_cd, f_y_cd = self._profile.derivatives(x, y, kappa_ext, r_core,
                                                   center_x, center_y)
        f_x_ms, f_y_ms = self._convergence.derivatives(x, y, kappa_ext,
                                                       center_x, center_y)
        return f_x_cd - f_x_ms, f_y_cd - f_y_ms

    def hessian(self, x, y, lambda_approx, r_core, center_x=0, center_y=0):
        """
        Hessian terms of approximate mass-sheet correction

        :param x: x-coordinate
        :param y: y-coordinate
        :param lambda_approx: approximate mass sheet transform
        :param r_core: core radius of the cored density profile
        :param center_x: x-center of the profile
        :param center_y: y-center of the profile
        :return: df/dxx, df/dyy, df/dxy
        """
        kappa_ext = 1 - lambda_approx
        f_xx_cd, f_yy_cd, f_xy_cd = self._profile.hessian(
            x, y, kappa_ext, r_core, center_x, center_y)
        f_xx_ms, f_yy_ms, f_xy_ms = self._convergence.hessian(
            x, y, kappa_ext, center_x, center_y)
        return f_xx_cd - f_xx_ms, f_yy_cd - f_yy_ms, f_xy_cd - f_xy_ms
Example #7
0
    def _import_class(lens_type,
                      custom_class,
                      kwargs_interp,
                      z_lens=None,
                      z_source=None):
        """

        :param lens_type: string, lens model type
        :param custom_class: custom class
        :param z_lens: lens redshift  # currently only used in NFW_MC model as this is redshift dependent
        :param z_source: source redshift  # currently only used in NFW_MC model as this is redshift dependent
        :param kwargs_interp: interpolation keyword arguments specifying the numerics.
         See description in the Interpolate() class. Only applicable for 'INTERPOL' and 'INTERPOL_SCALED' models.
        :return: class instance of the lens model type
        """

        if lens_type == 'SHIFT':
            from lenstronomy.LensModel.Profiles.constant_shift import Shift
            return Shift()
        elif lens_type == 'NIE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.nie_potential import NIE_POTENTIAL
            return NIE_POTENTIAL()
        elif lens_type == 'CONST_MAG':
            from lenstronomy.LensModel.Profiles.const_mag import ConstMag
            return ConstMag()
        elif lens_type == 'SHEAR':
            from lenstronomy.LensModel.Profiles.shear import Shear
            return Shear()
        elif lens_type == 'SHEAR_GAMMA_PSI':
            from lenstronomy.LensModel.Profiles.shear import ShearGammaPsi
            return ShearGammaPsi()
        elif lens_type == 'SHEAR_REDUCED':
            from lenstronomy.LensModel.Profiles.shear import ShearReduced
            return ShearReduced()
        elif lens_type == 'CONVERGENCE':
            from lenstronomy.LensModel.Profiles.convergence import Convergence
            return Convergence()
        elif lens_type == 'HESSIAN':
            from lenstronomy.LensModel.Profiles.hessian import Hessian
            return Hessian()
        elif lens_type == 'FLEXION':
            from lenstronomy.LensModel.Profiles.flexion import Flexion
            return Flexion()
        elif lens_type == 'FLEXIONFG':
            from lenstronomy.LensModel.Profiles.flexionfg import Flexionfg
            return Flexionfg()
        elif lens_type == 'POINT_MASS':
            from lenstronomy.LensModel.Profiles.point_mass import PointMass
            return PointMass()
        elif lens_type == 'SIS':
            from lenstronomy.LensModel.Profiles.sis import SIS
            return SIS()
        elif lens_type == 'SIS_TRUNCATED':
            from lenstronomy.LensModel.Profiles.sis_truncate import SIS_truncate
            return SIS_truncate()
        elif lens_type == 'SIE':
            from lenstronomy.LensModel.Profiles.sie import SIE
            return SIE()
        elif lens_type == 'SPP':
            from lenstronomy.LensModel.Profiles.spp import SPP
            return SPP()
        elif lens_type == 'NIE':
            from lenstronomy.LensModel.Profiles.nie import NIE
            return NIE()
        elif lens_type == 'NIE_SIMPLE':
            from lenstronomy.LensModel.Profiles.nie import NIEMajorAxis
            return NIEMajorAxis()
        elif lens_type == 'CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import Chameleon
            return Chameleon()
        elif lens_type == 'DOUBLE_CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import DoubleChameleon
            return DoubleChameleon()
        elif lens_type == 'TRIPLE_CHAMELEON':
            from lenstronomy.LensModel.Profiles.chameleon import TripleChameleon
            return TripleChameleon()
        elif lens_type == 'SPEP':
            from lenstronomy.LensModel.Profiles.spep import SPEP
            return SPEP()
        elif lens_type == 'PEMD':
            from lenstronomy.LensModel.Profiles.pemd import PEMD
            return PEMD()
        elif lens_type == 'SPEMD':
            from lenstronomy.LensModel.Profiles.spemd import SPEMD
            return SPEMD()
        elif lens_type == 'EPL':
            from lenstronomy.LensModel.Profiles.epl import EPL
            return EPL()
        elif lens_type == 'EPL_NUMBA':
            from lenstronomy.LensModel.Profiles.epl_numba import EPL_numba
            return EPL_numba()
        elif lens_type == 'SPL_CORE':
            from lenstronomy.LensModel.Profiles.splcore import SPLCORE
            return SPLCORE()
        elif lens_type == 'NFW':
            from lenstronomy.LensModel.Profiles.nfw import NFW
            return NFW()
        elif lens_type == 'NFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.nfw_ellipse import NFW_ELLIPSE
            return NFW_ELLIPSE()
        elif lens_type == 'NFW_ELLIPSE_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import NFWEllipseGaussDec
            return NFWEllipseGaussDec()
        elif lens_type == 'NFW_ELLIPSE_CSE':
            from lenstronomy.LensModel.Profiles.nfw_ellipse_cse import NFW_ELLIPSE_CSE
            return NFW_ELLIPSE_CSE()
        elif lens_type == 'TNFW':
            from lenstronomy.LensModel.Profiles.tnfw import TNFW
            return TNFW()
        elif lens_type == 'TNFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.tnfw_ellipse import TNFW_ELLIPSE
            return TNFW_ELLIPSE()
        elif lens_type == 'CNFW':
            from lenstronomy.LensModel.Profiles.cnfw import CNFW
            return CNFW()
        elif lens_type == 'CNFW_ELLIPSE':
            from lenstronomy.LensModel.Profiles.cnfw_ellipse import CNFW_ELLIPSE
            return CNFW_ELLIPSE()
        elif lens_type == 'CTNFW_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import CTNFWGaussDec
            return CTNFWGaussDec()
        elif lens_type == 'NFW_MC':
            from lenstronomy.LensModel.Profiles.nfw_mass_concentration import NFWMC
            return NFWMC(z_lens=z_lens, z_source=z_source)
        elif lens_type == 'SERSIC':
            from lenstronomy.LensModel.Profiles.sersic import Sersic
            return Sersic()
        elif lens_type == 'SERSIC_ELLIPSE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.sersic_ellipse_potential import SersicEllipse
            return SersicEllipse()
        elif lens_type == 'SERSIC_ELLIPSE_KAPPA':
            from lenstronomy.LensModel.Profiles.sersic_ellipse_kappa import SersicEllipseKappa
            return SersicEllipseKappa()
        elif lens_type == 'SERSIC_ELLIPSE_GAUSS_DEC':
            from lenstronomy.LensModel.Profiles.gauss_decomposition import SersicEllipseGaussDec
            return SersicEllipseGaussDec()
        elif lens_type == 'PJAFFE':
            from lenstronomy.LensModel.Profiles.p_jaffe import PJaffe
            return PJaffe()
        elif lens_type == 'PJAFFE_ELLIPSE':
            from lenstronomy.LensModel.Profiles.p_jaffe_ellipse import PJaffe_Ellipse
            return PJaffe_Ellipse()
        elif lens_type == 'HERNQUIST':
            from lenstronomy.LensModel.Profiles.hernquist import Hernquist
            return Hernquist()
        elif lens_type == 'HERNQUIST_ELLIPSE':
            from lenstronomy.LensModel.Profiles.hernquist_ellipse import Hernquist_Ellipse
            return Hernquist_Ellipse()
        elif lens_type == 'HERNQUIST_ELLIPSE_CSE':
            from lenstronomy.LensModel.Profiles.hernquist_ellipse_cse import HernquistEllipseCSE
            return HernquistEllipseCSE()
        elif lens_type == 'GAUSSIAN':
            from lenstronomy.LensModel.Profiles.gaussian_potential import Gaussian
            return Gaussian()
        elif lens_type == 'GAUSSIAN_KAPPA':
            from lenstronomy.LensModel.Profiles.gaussian_kappa import GaussianKappa
            return GaussianKappa()
        elif lens_type == 'GAUSSIAN_ELLIPSE_KAPPA':
            from lenstronomy.LensModel.Profiles.gaussian_ellipse_kappa import GaussianEllipseKappa
            return GaussianEllipseKappa()
        elif lens_type == 'GAUSSIAN_ELLIPSE_POTENTIAL':
            from lenstronomy.LensModel.Profiles.gaussian_ellipse_potential import GaussianEllipsePotential
            return GaussianEllipsePotential()
        elif lens_type == 'MULTI_GAUSSIAN_KAPPA':
            from lenstronomy.LensModel.Profiles.multi_gaussian_kappa import MultiGaussianKappa
            return MultiGaussianKappa()
        elif lens_type == 'MULTI_GAUSSIAN_KAPPA_ELLIPSE':
            from lenstronomy.LensModel.Profiles.multi_gaussian_kappa import MultiGaussianKappaEllipse
            return MultiGaussianKappaEllipse()
        elif lens_type == 'INTERPOL':
            from lenstronomy.LensModel.Profiles.interpol import Interpol
            return Interpol(**kwargs_interp)
        elif lens_type == 'INTERPOL_SCALED':
            from lenstronomy.LensModel.Profiles.interpol import InterpolScaled
            return InterpolScaled(**kwargs_interp)
        elif lens_type == 'SHAPELETS_POLAR':
            from lenstronomy.LensModel.Profiles.shapelet_pot_polar import PolarShapelets
            return PolarShapelets()
        elif lens_type == 'SHAPELETS_CART':
            from lenstronomy.LensModel.Profiles.shapelet_pot_cartesian import CartShapelets
            return CartShapelets()
        elif lens_type == 'DIPOLE':
            from lenstronomy.LensModel.Profiles.dipole import Dipole
            return Dipole()
        elif lens_type == 'CURVED_ARC_CONST':
            from lenstronomy.LensModel.Profiles.curved_arc_const import CurvedArcConst
            return CurvedArcConst()
        elif lens_type == 'CURVED_ARC_CONST_MST':
            from lenstronomy.LensModel.Profiles.curved_arc_const import CurvedArcConstMST
            return CurvedArcConstMST()
        elif lens_type == 'CURVED_ARC_SPP':
            from lenstronomy.LensModel.Profiles.curved_arc_spp import CurvedArcSPP
            return CurvedArcSPP()
        elif lens_type == 'CURVED_ARC_SIS_MST':
            from lenstronomy.LensModel.Profiles.curved_arc_sis_mst import CurvedArcSISMST
            return CurvedArcSISMST()
        elif lens_type == 'CURVED_ARC_SPT':
            from lenstronomy.LensModel.Profiles.curved_arc_spt import CurvedArcSPT
            return CurvedArcSPT()
        elif lens_type == 'CURVED_ARC_TAN_DIFF':
            from lenstronomy.LensModel.Profiles.curved_arc_tan_diff import CurvedArcTanDiff
            return CurvedArcTanDiff()
        elif lens_type == 'ARC_PERT':
            from lenstronomy.LensModel.Profiles.arc_perturbations import ArcPerturbations
            return ArcPerturbations()
        elif lens_type == 'coreBURKERT':
            from lenstronomy.LensModel.Profiles.coreBurkert import CoreBurkert
            return CoreBurkert()
        elif lens_type == 'CORED_DENSITY':
            from lenstronomy.LensModel.Profiles.cored_density import CoredDensity
            return CoredDensity()
        elif lens_type == 'CORED_DENSITY_2':
            from lenstronomy.LensModel.Profiles.cored_density_2 import CoredDensity2
            return CoredDensity2()
        elif lens_type == 'CORED_DENSITY_EXP':
            from lenstronomy.LensModel.Profiles.cored_density_exp import CoredDensityExp
            return CoredDensityExp()
        elif lens_type == 'CORED_DENSITY_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY')
        elif lens_type == 'CORED_DENSITY_2_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY_2')
        elif lens_type == 'CORED_DENSITY_EXP_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY_EXP')
        elif lens_type == 'NumericalAlpha':
            from lenstronomy.LensModel.Profiles.numerical_deflections import NumericalAlpha
            return NumericalAlpha(custom_class)
        elif lens_type == 'MULTIPOLE':
            from lenstronomy.LensModel.Profiles.multipole import Multipole
            return Multipole()
        elif lens_type == 'CSE':
            from lenstronomy.LensModel.Profiles.cored_steep_ellipsoid import CSE
            return CSE()
        elif lens_type == 'ElliSLICE':
            from lenstronomy.LensModel.Profiles.elliptical_density_slice import ElliSLICE
            return ElliSLICE()
        elif lens_type == 'ULDM':
            from lenstronomy.LensModel.Profiles.uldm import Uldm
            return Uldm()
        elif lens_type == 'CORED_DENSITY_ULDM_MST':
            from lenstronomy.LensModel.Profiles.cored_density_mst import CoredDensityMST
            return CoredDensityMST(profile_type='CORED_DENSITY_ULDM')
        else:
            raise ValueError(
                '%s is not a valid lens model. Supported are: %s.' %
                (lens_type, _SUPPORTED_MODELS))