GaussianSquare

class GaussianSquare(duration, amp, sigma, width, name=None)[source]

A square pulse with a Gaussian shaped risefall on either side:

\[ \begin{align}\begin{aligned}risefall = (duration - width) / 2\\0 <= x < risefall\\f(x) = amp * exp( -(1/2) * (x - risefall/2)^2 / sigma^2) )\\risefall <= x < risefall + width\\f(x) = amp\\risefall + width <= x < duration\\f(x) = amp * exp( -(1/2) * (x - (risefall + width)/2)^2 / sigma^2) )\end{aligned}\end{align} \]

Initialize the gaussian square pulse.

Parameters

  • duration (int) – Pulse length in terms of the the sampling period dt.

  • amp (complex) – The amplitude of the Gaussian and of the square pulse.

  • sigma (float) – A measure of how wide or narrow the Gaussian risefall is; see the class docstring for more details.

  • width (float) – The duration of the embedded square pulse.

  • name (Optional[str]) – Display name for this pulse envelope.

Attributes

GaussianSquare.amp

The Gaussian amplitude.

GaussianSquare.id

Unique identifier for this pulse.

GaussianSquare.parameters

Return a dictionary containing the pulse’s parameters.

GaussianSquare.sigma

The Gaussian standard deviation of the pulse width.

GaussianSquare.width

The width of the square portion of the pulse.

Methods

GaussianSquare.__call__(channel)

Call self as a function.

GaussianSquare.draw([dt, style, filename, …])

Plot the pulse.

GaussianSquare.get_sample_pulse()

Return a SamplePulse with samples filled according to the formula that the pulse represents and the parameter values it contains.

GaussianSquare.validate_parameters()

Validate parameters.

GaussianSquare.__call__(channel)

Call self as a function.