Off-center versions

class glow.lenses.Psi_offcenterSIS(p_phys={}, p_prec={})

Bases: PsiGeneral

Lens object for the singular isothermal sphere (SIS) centered at (xc1, xc2).

Additional information: theory, default parameters.

Parameters:
p_physdict

Physical parameters, with keys:

  • psi0 (float) – Normalization of the lens.

  • xc1 (float) – Location in the x1 axis.

  • xc2 (float) – Location in the x2 axis.

Attributes:
asymp_indexfloat

0.5

asymp_amplitudefloat

\(\psi_0/\sqrt{2}\)

Methods

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

default_params()

Initialize the default parameters.

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

psi(x1, x2)

Lensing potential.
default_params()

Initialize the default parameters.

Returns:
p_physdict

Default physical parameters.

p_precdict

Empty dictionary.

psi(x1, x2)

Lensing potential.

Evaluate the equivalent method of Psi_SIS at (x1-xc1, x2-xc2).

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

Evaluate the equivalent method of Psi_SIS at (x1-xc1, x2-xc2).

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

Evaluate the equivalent method of Psi_SIS at (x1-xc1, x2-xc2).

class glow.lenses.Psi_offcenterCIS(p_phys={}, p_prec={})

Bases: PsiGeneral

Lens object for the cored isothermal sphere (CIS) centered at (xc1, xc2).

Additional information: theory, default parameters.

Parameters:
p_physdict

Physical parameters, with keys:

  • psi0 (float) – Normalization of the lens.

  • rc (float) – Core radius.

  • xc1 (float) – Location in the x1 axis.

  • xc2 (float) – Location in the x2 axis.

Attributes:
asymp_indexfloat

0.5

asymp_amplitudefloat

\(\psi_0/\sqrt{2}\)

Methods

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

default_params()

Initialize the default parameters.

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

psi(x1, x2)

Lensing potential.
default_params()

Initialize the default parameters.

Returns:
p_physdict

Default physical parameters.

p_precdict

Empty dictionary.

psi(x1, x2)

Lensing potential.

Evaluate the equivalent method of Psi_CIS at (x1-xc1, x2-xc2).

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

Evaluate the equivalent method of Psi_CIS at (x1-xc1, x2-xc2).

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

Evaluate the equivalent method of Psi_CIS at (x1-xc1, x2-xc2).

class glow.lenses.Psi_offcenterPointLens(p_phys={}, p_prec={})

Bases: PsiGeneral

Lens object for the point lens centered at (xc1, xc2).

Additional information: theory, default parameters.

Parameters:
p_physdict

Physical parameters, with keys:

  • psi0 (float) – Normalization of the lens.

  • xc1 (float) – Location in the x1 axis.

  • xc2 (float) – Location in the x2 axis.

p_precdict

Precision parameters, with keys:

  • xc (float) – Point mass regularization (Plummer sphere).

Attributes:
asymp_indexfloat
asymp_amplitudefloat

\(\psi_0/2\)

Methods

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

default_params()

Initialize the default parameters.

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

psi(x1, x2)

Lensing potential.
default_params()

Initialize the default parameters.

Returns:
p_physdict

Default physical parameters.

p_precdict

Empty dictionary.

psi(x1, x2)

Lensing potential.

Evaluate the equivalent method of Psi_PointLens at (x1-xc1, x2-xc2).

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

Evaluate the equivalent method of Psi_PointLens at (x1-xc1, x2-xc2).

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

Evaluate the equivalent method of Psi_PointLens at (x1-xc1, x2-xc2).

class glow.lenses.Psi_offcenterBall(p_phys={}, p_prec={})

Bases: PsiGeneral

Lens object for the uniform density sphere centered at (xc1, xc2).

Additional information: theory, default parameters.

Parameters:
p_physdict

Physical parameters, with keys:

  • psi0 (float) – Normalization of the lens.

  • b (float) – Radius of the sphere.

  • xc1 (float) – Location in the x1 axis.

  • xc2 (float) – Location in the x2 axis.

Attributes:
asymp_indexfloat
asymp_amplitudefloat

\(\psi_0/2\)

Methods

check_input()

Check that the radius is positive.

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

default_params()

Initialize the default parameters.

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

psi(x1, x2)

Lensing potential.
default_params()

Initialize the default parameters.

Returns:
p_physdict

Default physical parameters.

p_precdict

Empty dictionary.

check_input()

Check that the radius is positive.

Raises:
LensException
psi(x1, x2)

Lensing potential.

Evaluate the equivalent method of Psi_Ball at (x1-xc1, x2-xc2).

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

Evaluate the equivalent method of Psi_Ball at (x1-xc1, x2-xc2).

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

Evaluate the equivalent method of Psi_Ball at (x1-xc1, x2-xc2).

class glow.lenses.Psi_offcenterNFW(p_phys={}, p_prec={})

Bases: PsiGeneral

Lens object for the NFW lens centered at (xc1, xc2).

Additional information: theory, default parameters.

Parameters:
p_physdict

Physical parameters, with keys:

  • psi0 (float) – Normalization of the lens.

  • xs (float) – Rescaled NFW radius.

  • xc1 (float) – Location in the x1 axis.

  • xc2 (float) – Location in the x2 axis.

p_precdict

Precision parameters, with keys:

  • eps_soft (float) – Softening factor.

  • eps_NFW (float) – Switch on Taylor expansion when \(x/x_s < \epsilon_\text{NFW}\).

Methods

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

default_params()

Initialize the default parameters.

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

psi(x1, x2)

Lensing potential.
default_params()

Initialize the default parameters.

Returns:
p_physdict

Default physical parameters.

p_precdict

Default precision parameters.

psi(x1, x2)

Lensing potential.

Evaluate the equivalent method of Psi_NFW at (x1-xc1, x2-xc2).

dpsi_vec(x1, x2)

First derivatives of the lensing potential.

Evaluate the equivalent method of Psi_NFW at (x1-xc1, x2-xc2).

ddpsi_vec(x1, x2)

Second derivatives of the lensing potential.

Evaluate the equivalent method of Psi_NFW at (x1-xc1, x2-xc2).