structure
Functions for generating structure. This includes both cluster profiles and substructure.
a10(dx, dy, dz, theta, P0, c500, m500, gamma, alpha, beta, z, xyz)
gNFW pressure profile in 3d based on Arnaud2010. Compared to the function gnfw, this function fixes r1/r2/r3 to r500. This function does not include smoothing or declination stretch which should be applied at the end.
Arguments:
dx: RA of cluster center relative to grid origin
dy: Dec of cluster center relative to grid origin
dz: Line of sight offset of cluster center relative to grid origin
theta: Angle to rotate in xy-plane
P0: Amplitude of the pressure profile
c500: Concentration parameter at a density contrast of 500
m500: Mass at a density contrast of 500
gamma: The central slope
alpha: The intermediate slope
beta: The outer slope
z: Redshift of cluster
xyz: Coordinte grid to calculate model on
Returns:
model: The gnfw model
Source code in witch/structure.py
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add_exponential(pressure, xyz, dx, dy, dz, r_1, r_2, r_3, theta, amp, xk, x0, yk, y0, zk, z0)
Add ellipsoid with exponential structure to 3d pressure profile.
Arguments:
pressure: The pressure profile
xyz: Coordinate grids, see make_grid for details
dx: RA of ellipsoid center relative to grid origin
dy: Dec of ellipsoid center relative to grid origin
dz: Line of sight offset of ellipsoid center relative to grid origin
r_1: Amount to scale ellipsoid along x-axis
r_2: Amount to scale ellipsoid along y-axis
r_3: Amount to scale ellipsoid along z-axis
theta: Angle to rotate ellipsoid in xy-plane
amp: Factor by which pressure is enhanced at peak of exponential
xk: Power of exponential in RA direction
x0: RA offset of exponential.
Note that this is in transformed coordinates so x0=1 is at xs + sr_1.
yk: Power of exponential in Dec direction
y0: Dec offset of exponential.
Note that this is in transformed coordinates so y0=1 is at ys + sr_2.
zk: Power of exponential along the line of sight
z0: Line of sight offset of exponential.
Note that this is in transformed coordinates so z0=1 is at zs + sr_3.
Returns:
new_pressure: Pressure profile with ellipsoid added
Source code in witch/structure.py
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add_powerlaw(pressure, xyz, dx, dy, dz, r_1, r_2, r_3, theta, amp, phi0, k_r, k_phi)
Add ellipsoid with power law structure to 3d pressure profile.
Arguments:
pressure: The pressure profile
xyz: Coordinate grids, see make_grid for details
dx: RA of ellipsoid center relative to grid origin
dy: Dec of ellipsoid center relative to grid origin
dz: Line of sight offset of ellipsoid center relative to grid origin
r_1: Amount to scale ellipsoid along x-axis
r_2: Amount to scale ellipsoid along y-axis
r_3: Amount to scale ellipsoid along z-axis
theta: Angle to rotate ellipsoid in xy-plane
amp: Factor by which pressure is enhanced at peak of power law
phi0: Polar angle of nose of power law
k_r: Slope of power law in radial dirction
k_phi: Slope of power law in polar direction
Returns:
new_pressure: Pressure profile with ellipsoid added
Source code in witch/structure.py
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add_powerlaw_cos(pressure, xyz, dx, dy, dz, r_1, r_2, r_3, theta, amp, phi0, k_r, omega)
Add ellipsoid with radial power law and angular cos dependant structure to 3d pressure profile.
Arguments:
pressure: The pressure profile
xyz: Coordinate grids, see make_grid for details
dx: RA of ellipsoid center relative to grid origin
dy: Dec of ellipsoid center relative to grid origin
dz: Line of sight offset of ellipsoid center relative to grid origin
r_1: Amount to scale ellipsoid along x-axis
r_2: Amount to scale ellipsoid along y-axis
r_3: Amount to scale ellipsoid along z-axis
theta: Angle to rotate ellipsoid in xy-plane
amp: Factor by which pressure is enhanced at peak of power law
phi0: Polar angle of nose of power law
k_r: Slope of power law in radial dirction
omega: Angular freqency if cos term
Returns:
new_pressure: Pressure profile with ellipsoid added
Source code in witch/structure.py
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add_uniform(pressure, xyz, dx, dy, dz, r_1, r_2, r_3, theta, amp)
Add ellipsoid with uniform structure to 3d pressure profile.
Arguments:
pressure: The pressure profile
xyz: Coordinate grids, see make_grid for details
dx: RA of ellipsoid center relative to grid origin
dy: Dec of ellipsoid center relative to grid origin
dz: Line of sight offset of ellipsoid center relative to grid origin
r_1: Amount to scale ellipsoid along x-axis
r_2: Amount to scale ellipsoid along y-axis
r_3: Amount to scale ellipsoid along z-axis
theta: Angle to rotate ellipsoid in xy-plane
amp: Factor by which pressure is enhanced at peak of exponential
Returns:
new_pressure: Pressure profile with ellipsoid added
Source code in witch/structure.py
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egaussian(dx, dy, dz, r_1, r_2, r_3, theta, sigma, amp, xyz)
Elliptical gaussian profile in 3d. This function does not include smoothing or declination stretch which should be applied at the end.
Arguments:
dx: RA of gaussian center relative to grid origin
dy: Dec of gaussian center relative to grid origin
dz: Line of sight offset of gaussian center relative to grid origin
r_1: Amount to scale along x-axis
r_2: Amount to scale along y-axis
r_3: Amount to scale along z-axis
theta: Angle to rotate in xy-plane
sigma: Sigma of the gaussian
amp: Amplitude of the gaussian
xyz: Coordinte grid to calculate model on
Returns:
model: The gaussian
Source code in witch/structure.py
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gaussian(dx, dy, sigma, amp, xyz)
Standard gaussian profile in 3d. This function does not include smoothing or declination stretch which should be applied at the end. The transform_grid call is awkward and can probably be removed/worked around. Function exists to match existing guassian interfaces.
Arguments:
dx: RA of gaussian center relative to grid origin
dy: Dec of gaussian center relative to grid origin
sigma: The effective, beam-convolved half-width of the point source.
amp: Amplitude of the gaussian
xyz: Coordinte grid to calculate model on
Returns:
model: The gaussian
Source code in witch/structure.py
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gnfw(dx, dy, dz, r_1, r_2, r_3, theta, P0, c500, m500, gamma, alpha, beta, z, xyz)
Elliptical gNFW pressure profile in 3d. This function does not include smoothing or declination stretch which should be applied at the end.
Arguments:
dx: RA of cluster center relative to grid origin
dy: Dec of cluster center relative to grid origin
dz: Line of sight offset of cluster center relative to grid origin
r_1: Amount to scale along x-axis
r_2: Amount to scale along y-axis
r_3: Amount to scale along z-axis
theta: Angle to rotate in xy-plane
P0: Amplitude of the pressure profile
c500: Concentration parameter at a density contrast of 500
m500: Mass at a density contrast of 500
gamma: The central slope
alpha: The intermediate slope
beta: The outer slope
z: Redshift of cluster
xyz: Coordinte grid to calculate model on
Returns:
model: The gnfw model
Source code in witch/structure.py
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isobeta(dx, dy, dz, r_1, r_2, r_3, theta, beta, amp, xyz)
Elliptical isobeta pressure profile in 3d. This function does not include smoothing or declination stretch which should be applied at the end.
Arguments:
dx: RA of cluster center relative to grid origin
dy: Dec of cluster center relative to grid origin
dz: Line of sight offset of cluster center relative to grid origin
r_1: Amount to scale along x-axis
r_2: Amount to scale along y-axis
r_3: Amount to scale along z-axis
theta: Angle to rotate in xy-plane
beta: Beta value of isobeta model
amp: Amplitude of isobeta model
xyz: Coordinte grid to calculate model on
Returns:
model: The isobeta model
Source code in witch/structure.py
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