Reference on kuibit.cactus_waves¶
The cactus_waves
module provides classes to access gravitational
and electromagnetic wave signals computed using Weyl scalars.
The classes in this module specialize the ones in cactus_multipoles
to deal with gravitational and electromagnetic wave data.
There classes defined in this module are:
:py:class`~.GravitationalWavesOneDet` and :py:class`~.ElectromagneticWavesOneDet`, which extend
MultipoleOneDet
adding methods to compute quantities like strain, or energy lost.:py:class`~.WavesDir` (derived from :py:class`~.MultipoleAllDets`), from which we derive :py:class`~.GravitationalWavesDir` and :py:class`~.ElectromagneticWavesDir`, which organize the available data in terms of extraction radii.
- class kuibit.cactus_waves.ElectromagneticWavesDir(sd)[source]¶
- This class provides access electromagnetic-wave data at different radii as
computed from the Phi2 Weyl scalar.
This is dictionary-like objects with keys the extraction radii and values the corresponding
ElectromagneticWavesOneDet
.Constructor.
derived_type_one_det
is the type that the values of this dictionary-like object has to have.- Parameters
sd (
SimDir
) – Simulation directory.l_min (int) – Minimum value of
l
to consider.var (str (Psi4 or Phi2)) – Name of the variable that has be consider
derived_type_one_det (class) – Class of the derived object that has to be initialized.
- copy()¶
Return a deep copy.
- Returns
Deep copy of
self
.- Return type
- has_detector(mult_l, mult_m, dist)¶
Check if a given multipole component extracted at a given distance is available.
- Parameters
mult_l (int) – Multipole component l.
mult_m (int) – Multipole component m.
dist (float) – Distance of the detector.
- Returns
If available or not.
- Return type
bool
- keys()¶
Return available extraction radii.
- Returns
Available extraction radii.
- Return type
dict_keys
- class kuibit.cactus_waves.ElectromagneticWavesOneDet(dist, data)[source]¶
Electromagnetic waves computed with the Newman-Penrose approach, using Phi2.
(These are useful when studying charged black holes, for instance)
Constructor.
- Parameters
dist (float) – Radius of the spherical surface.
data (list of tuple
(l, m, timeseries)
) – List of tuples with the two multipolar numbers and the data asTimeSeries
.
- Variables
l_min – l smaller than
l_min
are dropped.
- crop(init=None, end=None)¶
Remove all the data before
init
and afterend
.If
init
orend
are not specified, do not crop on that side.
- cropped(init=None, end=None)¶
Return a copy where the data is cropped in the provided interval.
If
init
orend
are not specified, do not crop on that side.- Returns
Copy of
self
with data cropped.- Return type
- get_energy_lm(mult_l, mult_m)[source]¶
Return the cumulative energy lost in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Energy lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_force_lm(mult_l, mult_m, direction=2)[source]¶
Return the instantaneous linear momentum along the given direction lost in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
direction (int) – Direction of the force to compute (0: x, 1: y, 2: z).
- Returns
Instantaneous force along the given axis in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_force_x_lm(mult_l, mult_m)[source]¶
Return the instantaneous linear momentum along the x direction lost in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Instantaneous force along the z axis in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_force_y_lm(mult_l, mult_m)[source]¶
Return the instantaneous linear momentum along the y direction lost in the mode (l, m).
This is computed with Eq. (3.15) in Ruiz 2008 (0707.4654).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Instantaneous force along the z axis in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_force_z_lm(mult_l, mult_m)[source]¶
Return the instantaneous linear momentum along the z direction lost in the mode (l, m).
This is computed with Eq. (3.15) in Ruiz 2008 (0707.4654).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Instantaneous force along the z axis in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_linear_momentum_lm(mult_l, mult_m, direction=2)[source]¶
Return the cumulative linear momentum lost along the given direction in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
direction (int) – Direction of the linear momentum to compute (0: x, 1: y, 2: z).
- Returns
Linear momentum along the given direction lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_linear_momentum_x_lm(mult_l, mult_m)[source]¶
Return the cumulative linear momentum lost along the x direction in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Linear momentum along the x direction lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_linear_momentum_y_lm(mult_l, mult_m)[source]¶
Return the cumulative linear momentum lost along the y direction in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Linear momentum along the y direction lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_linear_momentum_z_lm(mult_l, mult_m)[source]¶
Return the cumulative linear momentum lost along the z direction in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Linear momentum along the z direction lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_power_lm(mult_l, mult_m)[source]¶
Return the instantaneous power in the mode (l, m).
This is computed with Eq. 2.23 in 1311.6483
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Instantaneous power in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_total_energy(l_max=None)[source]¶
Return the cumulative energy lost in all the modes up to l_max.
- Parameters
l_max (int) – Ignore multipoles with l > l_max
- Returns
Cumulative total energy lost up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_force(direction=2, l_max=None)[source]¶
Return the total force along the given direction in all the modes up to
l_max
.- Parameters
l_max (int) – Ignore multipoles with l > l_max
direction (int) – Direction of the linear momentum to compute (0: x, 1: y, 2: z).
- Returns
Instantaneous total force along the given direction in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_force_x(l_max=None)[source]¶
Return the total force along the x direction in all the modes up to
l_max
.- Parameters
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total force along the x direction in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_force_y(l_max=None)[source]¶
Return the total force along the y direction in all the modes up to
l_max
.- Parameters
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total force along the y direction in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_force_z(l_max=None)[source]¶
Return the total force along the z direction in all the modes up to
l_max
.- Parameters
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total force along the z direction in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_linear_momentum(direction=2, l_max=None)[source]¶
Return the cumulative linear momentum lost in all the modes up to
l_max
.- Parameters
l_max (int) – Ignore multipoles with l > l_max
direction (int) – Direction of the linear momentum to compute (0: x, 1: y, 2: z).
- Returns
- Cumulative total linear momentum along the x direction lost
up to time in the modes up to
l_max
as a function of time.
- rtype
TimeSeries
- get_total_linear_momentum_x(l_max=None)[source]¶
Return the cumulative linear momentum lost in all the modes up to
l_max
in the x direction.- param l_max
Ignore multipoles with l > l_max
- type l_max
int
- Returns
- Cumulative total linear momentum along the x direction lost
up to time in the modes up to
l_max
as a function of time.
- rtype
TimeSeries
- get_total_linear_momentum_y(l_max=None)[source]¶
Return the cumulative linear momentum lost in all the modes up to
l_max
in the y direction.- param l_max
Ignore multipoles with l > l_max
- type l_max
int
- Returns
- Cumulative total linear momentum along the y direction lost
up to time in the modes up to
l_max
as a function of time.
- rtype
TimeSeries
- get_total_linear_momentum_z(l_max=None)[source]¶
Return the cumulative linear momentum lost in all the modes up to
l_max
in the z direction.- param l_max
Ignore multipoles with l > l_max
- type l_max
int
- Returns
- Cumulative total linear momentum along the z direction lost
up to time in the modes up to
l_max
as a function of time.
- rtype
TimeSeries
- get_total_power(l_max=None)[source]¶
Return the total power in all the modes up to
l_max
.- Parameters
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total power in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- keys()¶
Return available multipolar numbers.
- Returns
Available multipolar numbers.
- Return type
dict_keys
- total_function_on_available_lm(function, *args, l_max=None, **kwargs)¶
Evaluate
function
on each multipole and accumulate the result.total_function_on_available_lm
will callfunction
with the following arguments:function(timeseries, mult_l, mult_m, dist, *args, **kwargs)
If
function
does not need some paramters, it should use take the*args
argument to ignore the additional paramters that are always passed(l, m, r)
.Values of l larger than
l_max
are ignored.This method is used to compute quantities like the total power in gravitational waves.
function
can take additional paramters passed directly fromtotal_function_on_available_lm
(e.g.pcut
for FFI).- Params function
Function that has to be applied on each multipole.
- Returns
Sum of function applied to each monopole
- Return type
return type of function
- class kuibit.cactus_waves.GravitationalWavesDir(sd)[source]¶
- This class provides access gravitational-wave data at different radii as
computed from the Psi4 Weyl scalar.
This is dictionary-like objects with keys the extraction radii and values the corresponding
GravitationalWavesOneDet
.Constructor.
derived_type_one_det
is the type that the values of this dictionary-like object has to have.- Parameters
sd (
SimDir
) – Simulation directory.l_min (int) – Minimum value of
l
to consider.var (str (Psi4 or Phi2)) – Name of the variable that has be consider
derived_type_one_det (class) – Class of the derived object that has to be initialized.
- copy()¶
Return a deep copy.
- Returns
Deep copy of
self
.- Return type
- extrapolate_strain_lm_to_infinity(mult_l, mult_m, pcut, detectors_distances, retarded_times, *args, window_function=None, trim_ends=False, mass=1, order=2, extrapolate_amplitude_phase=False, **kwargs)[source]¶
Extrapolate strains to spatial infinity with the method described in 1307.5307.
If
extrapolate_amplitude_phase
is True, extrapolate amplitude and phase of the complex strain instead of real and imaginary parts.TODO: Test this function!
[Equation (29)]
- Parameters
mult_l (int) – Multipolar component l.
mult_m (int) – Multipolar component m.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
retarded_times (float or 1D NumPy array) – Times at which the waves have to be evaluated
detectors_distances (1D NumPy array) – Extraction radii
mass (float) – ADM mass of the system
order (int) – Order of the extrapolation.
window_function (callable, str, or None) – If not None, apply window_function to the series before computing the strain.
trim_ends (bool) – If True, a portion of the resulting strain is removed at both the initial and final times. The amount removed is equal to pcut.
extrapolate_amplitude_phase (int) – If True, extrapolate phase and amplitude, if False, extrapolate real and imaginary parts.
- Returns
Waves evaluated at the retarded times.
- Return type
List of
TimeSeries
- has_detector(mult_l, mult_m, dist)¶
Check if a given multipole component extracted at a given distance is available.
- Parameters
mult_l (int) – Multipole component l.
mult_m (int) – Multipole component m.
dist (float) – Distance of the detector.
- Returns
If available or not.
- Return type
bool
- keys()¶
Return available extraction radii.
- Returns
Available extraction radii.
- Return type
dict_keys
- class kuibit.cactus_waves.GravitationalWavesOneDet(dist, data)[source]¶
This class represents is an abstract class to represent multipole signals from Weyl scalars available at a given distance.
To check if component is available, use the operator “in”. You can iterate over all the availble components with a for loop.
This class is derived from
MultipoleOneDet
, so it shares most of the features, while expanding with methods specific for gravitational waves (e.g, to compute the strain).This class is not intended to be initialized directly.
Constructor.
- Parameters
dist (float) – Radius of the spherical surface.
data (list of tuple
(l, m, timeseries)
) – List of tuples with the two multipolar numbers and the data asTimeSeries
.
- crop(init=None, end=None)¶
Remove all the data before
init
and afterend
.If
init
orend
are not specified, do not crop on that side.
- cropped(init=None, end=None)¶
Return a copy where the data is cropped in the provided interval.
If
init
orend
are not specified, do not crop on that side.- Returns
Copy of
self
with data cropped.- Return type
- get_angular_momentum_lm(mult_l, mult_m, pcut, direction=2)[source]¶
Return the cumulative angular momentum lost in the mode (l, m) in the given direction.
- Parameters
mult_l – l multipole moment.
mult_m (int) – l multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
direction (int) – Direction of the angular momentum to compute (0: x, 1: y, 2: z).
- Returns
Cumulative angular momentum in the given direction in the mode (l, m) as a function of time.
- Return type
TimeSeries
- get_angular_momentum_x_lm(mult_l, mult_m, pcut)[source]¶
Return the cumulative angular momentum lost in the mode (l, m) in the x direction.
- Parameters
mult_l – l multipole moment.
mult_m (int) – l multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Cumulative angular momentum in the x direction in the mode (l, m) as a function of time.
- Return type
TimeSeries
- get_angular_momentum_y_lm(mult_l, mult_m, pcut)[source]¶
Return the cumulative angular momentum lost in the mode (l, m) in the y direction.
- Parameters
mult_l – l multipole moment.
mult_m (int) – l multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Cumulative angular momentum in the y direction in the mode (l, m) as a function of time.
- Return type
TimeSeries
- get_angular_momentum_z_lm(mult_l, mult_m, pcut)[source]¶
Return the cumulative angular momentum lost in the mode (l, m) in the z direction.
- Parameters
mult_l – l multipole moment.
mult_m (int) – l multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Cumulative angular momentum in the z direction in the mode (l, m) as a function of time.
- Return type
TimeSeries
- get_energy_lm(mult_l, mult_m, pcut)[source]¶
Return the cumulative energy lost in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Energy lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_force_lm(mult_l, mult_m, pcut, direction=2)[source]¶
Return the instantaneous linear momentum along the given direction lost in the mode (l, m).
This is computed with Eq. (3.14), (3.15) in Ruiz 2008 (0707.4654).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
direction (int) – Direction of the force to compute (0: x, 1: y, 2: z).
- Returns
Instantaneous force along the given axis in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_force_x_lm(mult_l, mult_m, pcut)[source]¶
Return the instantaneous linear momentum along the x direction lost in the mode (l, m).
This is computed with Eq. (3.15) in Ruiz 2008 (0707.4654).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Instantaneous force along the z axis in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_force_y_lm(mult_l, mult_m, pcut)[source]¶
Return the instantaneous linear momentum along the y direction lost in the mode (l, m).
This is computed with Eq. (3.15) in Ruiz 2008 (0707.4654).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Instantaneous force along the z axis in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_force_z_lm(mult_l, mult_m, pcut)[source]¶
Return the instantaneous linear momentum along the z direction lost in the mode (l, m).
This is computed with Eq. (3.15) in Ruiz 2008 (0707.4654).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Instantaneous force along the z axis in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_linear_momentum_lm(mult_l, mult_m, pcut, direction=2)[source]¶
Return the cumulative linear momentum lost along the given direction in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
direction (int) – Direction of the linear momentum to compute (0: x, 1: y, 2: z).
- Returns
Linear momentum along the given direction lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_linear_momentum_x_lm(mult_l, mult_m, pcut)[source]¶
Return the cumulative linear momentum lost along the x direction in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Linear momentum along the x direction lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_linear_momentum_y_lm(mult_l, mult_m, pcut)[source]¶
Return the cumulative linear momentum lost along the y direction in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Linear momentum along the y direction lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_linear_momentum_z_lm(mult_l, mult_m, pcut)[source]¶
Return the cumulative linear momentum lost along the z direction in the mode (l, m).
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Linear momentum along the z direction lost up to the time t in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_observed_strain(right_ascension, declination, time_utc, theta_gw, phi_gw, pcut, *args, window_function=None, polarization=0, l_max=None, trim_ends=False, **kwargs)[source]¶
Return the strain accounting for all the multipoles and the spin weighted spherical harmonics as observed by Hanford, Livingston and Virgo.
\[h_+(r,t) - i h_\times(r,t) = \sum_{l=2}^{l=l_{\mathrm{max}}} \sum_{m=-l}^{m=l} h(r, t)^{lm} {}_{-2}Y_{lm}(\theta, \phi)\]Here theta and phi are the arguments
theta_gw
andphi_gw
.Then, for each detector
\[h(r,t) = F_\times h_\times(theta_gw, phi_gw) + F_+ h_+(theta_gw, phi_gw)\]- Parameters
right_ascension (float) – Right ascension of the source in degrees.
declination (str) – Declination of the source in degrees.
time_utc – UTC time of the event
phi_gw (theta_gw,) – Spherical coordinates of the observer from the binary’s frame, taking the angular momentum of the binary to point along the z-axis.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
window_function (callable, str, or None) – If not None, apply
window_function
to the series before computing the strain.trim_ends (bool) – If True, a portion of the resulting strain is removed at both the initial and final times. The amount removed is equal to pcut.
l_max (int) – Ignore multipoles with l > l_max
- Returns
\(r (h^+ - i h^\times)\)
- Return type
Detectors of
TimeSeries
- get_power_lm(mult_l, mult_m, pcut)[source]¶
Return the instantaneous power in the mode (l, m).
This is computed with Eq. (9.139) in Baumgarte Shapiro.
\[\]frac{dE}{dt}(r, t) = frac{r^2}{16 pi} sum_{l=2}^{l=l_{mathrm{max}}} sum_{m=-l}^{m=l} psi^{lm}_4(theta, phi, r, t)
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- Returns
Instantaneous power in the mode
(l, m)
as a function of time.- Return type
TimeSeries
- get_psi4_lm(mult_l, mult_m)[source]¶
Return the multipolar components l and m of Psi4.
- Parameters
mult_l (int) – Multipole component l.
mult_m (int) – Multipole component m.
- Returns
\(\Psi_4^{lm}\)
- Return type
complex
TimeSeries
- get_strain(theta, phi, pcut, *args, window_function=None, l_max=None, trim_ends=False, **kwargs)[source]¶
Return the strain accounting for all the multipoles and the spin weighted spherical harmonics.
This is computed as:
\[h_+(r,t) - i h_\times(r,t) = \sum_{l=2}^{l=l_{\mathrm{max}}} \sum_{m=-l}^{m=l} h(r, t)^{lm} {}_{-2}Y_{lm}(\theta, \phi)\]- Parameters
theta (float) – Meridional observation angle.
phi (float) – Azimuthal observation angle.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
window_function (callable, str, or None) – If not None, apply window_function to the series before computing the strain.
trim_ends (bool) – If True, a portion of the resulting strain is removed at both the initial and final times. The amount removed is equal to
pcut
.l_max (int) – Ignore multipoles with
l > l_max
- Returns
\(r (h^+ - i h^\times)\)
- Return type
- get_strain_lm(mult_l, mult_m, pcut, *args, window_function=None, trim_ends=False, **kwargs)[source]¶
Return the strain associated to the multipolar component (l, m).
The strain returned is multiplied by the distance. The strain is extracted from the Weyl Scalar using the formula
\[h_+^{lm}(r,t) - i h_\times^{lm}(r,t) = \int_{-\infty}^t \mathrm{d}u \int_{-\infty}^u \mathrm{d}v\, \Psi_4^{lm}(r,v)\]The return value is the complex
TimeSeries
(r * h_plus - i r * h_cross)
.It is always important to have a function that goes smoothly to zero before taking Fourier transform (to avoid spectral leakage and aliasing). You can pass the
window_function
to apply as a parameter. Ifwindow_function
is None, no tapering is performed. Ifwindow_function
is a function, it has to be a function that takes as first argument the length of the array and returns a new array with the same length that is to be multiplied to the data (this is how SciPy’s windows work) Ifwindow_function
is a string, use the method with corresponding name from theTimeSeries
class. You must only provide the name (e.g, ‘tukey’ will call ‘tukey_windowed’). Optional arguments to the window function can be passed directly to this function.pcut
is the period associated to the angular velocity that enters in the fixed frequency integration (omega_th = 2 pi / pcut
). In general, a wise choise is to pick the longest physical period in the signal.For more information on the fixed-frequency integration method, see Reisswig 2011.
Optionally, remove part of the output signal at both the beginning and the end. If
trim_ends
is True,pcut
is removed. This is because those parts of the signal are typically not very accurate.- Parameters
mult_l (int) – Multipolar component l.
mult_m (int) – Multipolar component m.
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
window_function (callable, str, or None) – If not None, apply window_function to the series before computing the strain.
trim_ends (bool) – If True, a portion of the resulting strain is removed at both the initial and final times. The amount removed is equal to pcut.
- Returns
\(r (h^+ - i h^\times)\)
- Return type
- get_torque_lm(mult_l, mult_m, pcut, direction=2)[source]¶
Return the instantaneous torque in the given direction in the mode (l, m).
This is computed with Eq. (9.140) in Baumgarte Shapiro (or 9.137)
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
direction (int) – Direction of the torque to compute (0: x, 1: y, 2: z).
- Returns
Instantaneous total torque in the given direction in the mode (l, m) as a function of time.
- Return type
TimeSeries
- get_torque_x_lm(mult_l, mult_m, pcut)[source]¶
Return the instantaneous torque in the x axis in the mode (l, m).
This is computed with Eq. (9.140) in Baumgarte Shapiro (or 9.137)
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Instantaneous total torque in the x direction in the mode (l, m) as a function of time.
- Return type
TimeSeries
- get_torque_y_lm(mult_l, mult_m, pcut)[source]¶
Return the instantaneous torque in the y axis in the mode (l, m).
This is computed with Eq. (9.140) in Baumgarte Shapiro (or 9.137)
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Instantaneous total torque in the y direction in the mode (l, m) as a function of time.
- Return type
TimeSeries
- get_torque_z_lm(mult_l, mult_m, pcut)[source]¶
Return the instantaneous torque in the z axis in the mode (l, m).
This is computed with Eq. (9.140) in Baumgarte Shapiro (or 9.137)
- Parameters
mult_l – l multipole moment.
mult_m (int) – m multipole moment.
- Returns
Instantaneous total torque in the z direction in the mode (l, m) as a function of time.
- Return type
TimeSeries
- get_total_angular_momentum(pcut, direction=2, l_max=None)[source]¶
Return the cumulative angular momentum lost in all the modes up to
l_max
in the given direction.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
direction (int) – Direction of the angular momentum to compute (0: x, 1: y, 2: z).
l_max (int) – Ignore multipoles with l > l_max
- Returns
Cumulative angular momentum up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_angular_momentum_x(pcut, l_max=None)[source]¶
Return the cumulative angular momentum lost in all the modes up to
l_max
along the x direction.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Cumulative angular momentum up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_angular_momentum_y(pcut, l_max=None)[source]¶
Return the cumulative angular momentum lost in all the modes up to
l_max
along the y direction.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Cumulative angular momentum up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_angular_momentum_z(pcut, l_max=None)[source]¶
Return the cumulative angular momentum lost in all the modes up to
l_max
along the z direction.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Cumulative angular momentum up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_energy(pcut, l_max=None)[source]¶
Return the cumulative energy lost in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Cumulative total energy lost up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_force(pcut, direction=2, l_max=None)[source]¶
Return the total force along the given direction in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
direction (int) – Direction of the linear momentum to compute (0: x, 1: y, 2: z).
- Returns
Instantaneous total force along the given direction in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_force_x(pcut, l_max=None)[source]¶
Return the total force along the x direction in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total force along the x direction in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_force_y(pcut, l_max=None)[source]¶
Return the total force along the y direction in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total force along the y direction in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_force_z(pcut, l_max=None)[source]¶
Return the total force along the z direction in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total force along the z direction in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_linear_momentum(pcut, direction=2, l_max=None)[source]¶
Return the cumulative linear momentum lost in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
direction (int) – Direction of the linear momentum to compute (0: x, 1: y, 2: z).
- Returns
Cumulative total linear momentum along the x direction lost up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_linear_momentum_x(pcut, l_max=None)[source]¶
Return the cumulative linear momentum lost in all the modes up to
l_max
in the x direction.- param pcut
Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- type pcut
float
- param l_max
Ignore multipoles with l > l_max
- type l_max
int
- returns
Cumulative total linear momentum along the x direction lost up to time in the modes up to
l_max
as a function of time.- rtype
TimeSeries
- get_total_linear_momentum_y(pcut, l_max=None)[source]¶
Return the cumulative linear momentum lost in all the modes up to
l_max
in the y direction.- param pcut
Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- type pcut
float
- param l_max
Ignore multipoles with l > l_max
- type l_max
int
- returns
Cumulative total linear momentum along the y direction lost up to time in the modes up to
l_max
as a function of time.- rtype
TimeSeries
- get_total_linear_momentum_z(pcut, l_max=None)[source]¶
Return the cumulative linear momentum lost in all the modes up to
l_max
in the z direction.- param pcut
Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
- type pcut
float
- param l_max
Ignore multipoles with l > l_max
- type l_max
int
- returns
Cumulative total linear momentum along the z direction lost up to time in the modes up to
l_max
as a function of time.- rtype
TimeSeries
- get_total_power(pcut, l_max=None)[source]¶
Return the total power in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total power in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_torque(pcut, direction=2, l_max=None)[source]¶
Return the total torque along the given direction in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
direction (int) – Direction of the torque to compute (0: x, 1: y, 2: z).
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total torque up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_torque_x(pcut, l_max=None)[source]¶
Return the total torque in the x direction in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total torque up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_torque_y(pcut, l_max=None)[source]¶
Return the total torque in the y direction in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total torque up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- get_total_torque_z(pcut, l_max=None)[source]¶
Return the total torque in the z direction in all the modes up to
l_max
.- Parameters
pcut (float) – Period that enters the fixed-frequency integration. Typically, the longest physical period in the signal.
l_max (int) – Ignore multipoles with l > l_max
- Returns
Instantaneous total torque up to time in the modes up to
l_max
as a function of time.- Return type
TimeSeries
- keys()¶
Return available multipolar numbers.
- Returns
Available multipolar numbers.
- Return type
dict_keys
- total_function_on_available_lm(function, *args, l_max=None, **kwargs)¶
Evaluate
function
on each multipole and accumulate the result.total_function_on_available_lm
will callfunction
with the following arguments:function(timeseries, mult_l, mult_m, dist, *args, **kwargs)
If
function
does not need some paramters, it should use take the*args
argument to ignore the additional paramters that are always passed(l, m, r)
.Values of l larger than
l_max
are ignored.This method is used to compute quantities like the total power in gravitational waves.
function
can take additional paramters passed directly fromtotal_function_on_available_lm
(e.g.pcut
for FFI).- Params function
Function that has to be applied on each multipole.
- Returns
Sum of function applied to each monopole
- Return type
return type of function
- class kuibit.cactus_waves.WavesDir(sd, l_min, var, derived_type_one_det)[source]¶
This class provides acces gravitational-wave data at different radii.
It is based on
MultipoleAllDets
with the difference that takes as inputSimDir
. Objects insideMultipoleAllDets
are redefined asGravitationalWavesDet
.- This class is an abstract class meant to be derived to describe gravitational waves
and electromagnetic waves.
Constructor.
derived_type_one_det
is the type that the values of this dictionary-like object has to have.- Parameters
sd (
SimDir
) – Simulation directory.l_min (int) – Minimum value of
l
to consider.var (str (Psi4 or Phi2)) – Name of the variable that has be consider
derived_type_one_det (class) – Class of the derived object that has to be initialized.
- copy()¶
Return a deep copy.
- Returns
Deep copy of
self
.- Return type
- has_detector(mult_l, mult_m, dist)¶
Check if a given multipole component extracted at a given distance is available.
- Parameters
mult_l (int) – Multipole component l.
mult_m (int) – Multipole component m.
dist (float) – Distance of the detector.
- Returns
If available or not.
- Return type
bool
- keys()¶
Return available extraction radii.
- Returns
Available extraction radii.
- Return type
dict_keys