gaussian_pulse
boulderopal.signals.gaussian_pulse(duration, amplitude, width=None, center_time=None, drag=0.0, flat_duration=0.0)
Create a Signal object representing a Gaussian pulse.
Parameters
- duration (float) – The duration of the signal,
- amplitude (float or complex) – The amplitude of the Gaussian pulse,
- width (float or None , optional) – The standard deviation of the Gaussian pulse, . Defaults to or
- center_time (float or None , optional) – The center of the Gaussian pulse, . Defaults to half of the given value of the duration,
- drag (float , optional) – The DRAG parameter,
- flat_duration (float , optional) – The amount of time to remain constant after the peak of the Gaussian,
Returns
The Gaussian pulse.
Return type
SEE ALSO
boulderopal.signals.cosine_pulse
: Create a Signal object representing a cosine pulse.
Graph.signals.gaussian_pulse_pwc
: Graph operation to create a Pwc representing a Gaussian pulse.
Graph.signals.gaussian_pulse_stf
: Graph operation to create a Stf representing a Gaussian pulse.
boulderopal.signals.sech_pulse
: Create a Signal object representing a hyperbolic secant pulse.
boulderopal.signals.square_pulse
: Create a Signal object representing a square pulse.
Notes
The Gaussian pulse is defined as
If the flat duration is zero (the default setting), this reduces to
Examples
Define a Gaussian pulse.
>>> pulse = bo.signals.gaussian_pulse(duration=2.0, amplitude=1.0)
>>> pulse.export_with_time_step(time_step=0.2)
array([4.00652974e-05+0.j, 2.18749112e-03+0.j, 4.39369336e-02+0.j,
3.24652467e-01+0.j, 8.82496903e-01+0.j, 8.82496903e-01+0.j,
3.24652467e-01+0.j, 4.39369336e-02+0.j, 2.18749112e-03+0.j,
4.00652974e-05+0.j])
Define a flat-top Gaussian pulse with a DRAG correction.
>>> pulse = bo.signals.gaussian_pulse(
... duration=1.0,
... amplitude=1.0,
... width=0.2,
... center_time=0.6,
... drag=0.1,
... flat_duration=0.2,
... )
>>> pulse.export_with_sampling_rate(sampling_rate=10.)
array([0.07955951+0.08950445j, 0.21626517+0.18923202j,
0.45783336+0.28614585j, 0.7548396 +0.28306485j,
0.96923323+0.12115415j, 1. +0.j ,
1. +0.j , 0.96923323-0.12115415j,
0.7548396 -0.28306485j, 0.45783336-0.28614585j])