class Hernquist(object):
"""
class for pseudo Jaffe lens light (2d projected light/mass distribution
"""
def __init__(self):
from lenstronomy.LensModel.Profiles.hernquist import Hernquist as Hernquist_lens
self.lens = Hernquist_lens()
self.param_names = ['amp', 'Rs', 'center_x', 'center_y']
self.lower_limit_default = {'amp': 0, 'Rs': 0, 'center_x': -100, 'center_y': -100}
self.upper_limit_default = {'amp': 100, 'Rs': 100, 'center_x': 100, 'center_y': 100}
def function(self, x, y, amp, Rs, center_x=0, center_y=0):
"""
:param x:
:param y:
:param amp:
:param Rs: scale radius: half-light radius = Rs / 0.551
:param center_x:
:param center_y:
:return:
"""
rho0 = self.lens.sigma2rho(amp, Rs)
return self.lens.density_2d(x, y, rho0, Rs, center_x, center_y)
def light_3d(self, r, amp, Rs):
"""
:param r:
:param amp:
:param Rs:
:return:
"""
rho0 = self.lens.sigma2rho(amp, Rs)
return self.lens.density(r, rho0, Rs)
class Hernquist(object):
"""
class for pseudo Jaffe lens light (2d projected light/mass distribution
"""
def __init__(self):
from lenstronomy.LensModel.Profiles.hernquist import Hernquist as Hernquist_lens
self.lens = Hernquist_lens()
def function(self, x, y, sigma0, Rs, center_x=0, center_y=0):
"""
:param x:
:param y:
:param sigma0:
:param a:
:param s:
:param center_x:
:param center_y:
:return:
"""
rho0 = self.lens.sigma2rho(sigma0, Rs)
return self.lens.density_2d(x, y, rho0, Rs, center_x, center_y)
def light_3d(self, r, sigma0, Rs):
"""
:param y:
:param sigma0:
:param Rs:
:param center_x:
:param center_y:
:return:
"""
rho0 = self.lens.sigma2rho(sigma0, Rs)
return self.lens.density(r, rho0, Rs)
class Hernquist_Ellipse(object):
"""
class for elliptical pseudo Jaffe lens light (2d projected light/mass distribution
"""
def __init__(self):
from lenstronomy.LensModel.Profiles.hernquist import Hernquist as Hernquist_lens
self.lens = Hernquist_lens()
self.spherical = Hernquist()
def function(self, x, y, sigma0, Rs, q, phi_G, center_x=0, center_y=0):
"""
:param x:
:param y:
:param sigma0:
:param a:
:param s:
:param center_x:
:param center_y:
:return:
"""
x_, y_ = self._coord_transf(x, y, q, phi_G, center_x, center_y)
return self.spherical.function(x_, y_, sigma0, Rs)
def light_3d(self, r, sigma0, Rs, q=1, phi_G=0):
"""
:param y:
:param sigma0:
:param Rs:
:param center_x:
:param center_y:
:return:
"""
rho0 = self.lens.sigma2rho(sigma0, Rs)
return self.lens.density(r, rho0, Rs)
def _coord_transf(self, x, y, q, phi_G, center_x, center_y):
"""
:param x:
:param y:
:param q:
:param phi_G:
:param center_x:
:param center_y:
:return:
"""
x_shift = x - center_x
y_shift = y - center_y
cos_phi = np.cos(phi_G)
sin_phi = np.sin(phi_G)
e = abs(1 - q)
x_ = (cos_phi * x_shift + sin_phi * y_shift) * np.sqrt(1 - e)
y_ = (-sin_phi * x_shift + cos_phi * y_shift) * np.sqrt(1 + e)
return x_, y_
class HernquistEllipse(object):
"""
class for elliptical pseudo Jaffe lens light (2d projected light/mass distribution
"""
param_names = ['amp', 'Rs', 'e1', 'e2', 'center_x', 'center_y']
lower_limit_default = {
'amp': 0,
'Rs': 0,
'e1': -0.5,
'e2': -0.5,
'center_x': -100,
'center_y': -100
}
upper_limit_default = {
'amp': 100,
'Rs': 100,
'e1': 0.5,
'e2': 0.5,
'center_x': 100,
'center_y': 100
}
def __init__(self):
from lenstronomy.LensModel.Profiles.hernquist import Hernquist as Hernquist_lens
self.lens = Hernquist_lens()
self.spherical = Hernquist()
def function(self, x, y, amp, Rs, e1, e2, center_x=0, center_y=0):
"""
:param x:
:param y:
:param amp:
:param a:
:param s:
:param center_x:
:param center_y:
:return:
"""
x_, y_ = param_util.transform_e1e2_square_average(
x, y, e1, e2, center_x, center_y)
return self.spherical.function(x_, y_, amp, Rs)
def light_3d(self, r, amp, Rs, e1=0, e2=0):
"""
:param y:
:param amp:
:param Rs:
:param center_x:
:param center_y:
:return:
"""
rho0 = self.lens.sigma2rho(amp, Rs)
return self.lens.density(r, rho0, Rs)
class HernquistEllipse(object):
"""
class for elliptical pseudo Jaffe lens light (2d projected light/mass distribution
"""
param_names = ['amp', 'Rs', 'e1', 'e2', 'center_x', 'center_y']
lower_limit_default = {
'amp': 0,
'Rs': 0,
'e1': -0.5,
'e2': -0.5,
'center_x': -100,
'center_y': -100
}
upper_limit_default = {
'amp': 100,
'Rs': 100,
'e1': 0.5,
'e2': 0.5,
'center_x': 100,
'center_y': 100
}
def __init__(self):
from lenstronomy.LensModel.Profiles.hernquist import Hernquist as Hernquist_lens
self.lens = Hernquist_lens()
self.spherical = Hernquist()
def function(self, x, y, amp, Rs, e1, e2, center_x=0, center_y=0):
"""
:param x:
:param y:
:param amp:
:param a:
:param s:
:param center_x:
:param center_y:
:return:
"""
#TODO check ellipticity consistency with the mass profile kappa definition
#x_, y_ = param_util.transform_e1e2(x, y, e1, e2, center_x, center_y)
phi_G, q = param_util.ellipticity2phi_q(e1, e2)
x_, y_ = self._coord_transf(x, y, q, phi_G, center_x, center_y)
return self.spherical.function(x_, y_, amp, Rs)
def light_3d(self, r, amp, Rs, e1=0, e2=0):
"""
:param y:
:param amp:
:param Rs:
:param center_x:
:param center_y:
:return:
"""
rho0 = self.lens.sigma2rho(amp, Rs)
return self.lens.density(r, rho0, Rs)
def _coord_transf(self, x, y, q, phi_G, center_x, center_y):
"""
:param x:
:param y:
:param q:
:param phi_G:
:param center_x:
:param center_y:
:return:
"""
x_shift = x - center_x
y_shift = y - center_y
cos_phi = np.cos(phi_G)
sin_phi = np.sin(phi_G)
e = abs(1 - q)
x_ = (cos_phi * x_shift + sin_phi * y_shift) * np.sqrt(1 - e)
y_ = (-sin_phi * x_shift + cos_phi * y_shift) * np.sqrt(1 + e)
return x_, y_