bilby.gw.source.sinegaussian

bilby.gw.source.sinegaussian(frequency_array, hrss, Q, frequency, **kwargs)

A frequency-domain sine-Gaussian burst source model.

\[\begin{split}\tau &= \frac{Q}{\sqrt{2}\pi f_{0}} \\ \alpha &= \frac{Q}{4\sqrt{\pi} f_{0}} \\ h_{+} &= \frac{h_{\rm rss}\sqrt{\pi}\tau}{2\sqrt{\alpha (1 + e^{-Q^2})}} \left( e^{-\pi^2 \tau^2 (f + f_{0})^2} + e^{-\pi^2 \tau^2 (f - f_{0})^2} \right) \\ h_{\times} &= \frac{i h_{\rm rss}\sqrt{\pi}\tau}{2\sqrt{\alpha (1 - e^{-Q^2})}} \left( e^{-\pi^2 \tau^2 (f + f_{0})^2} - e^{-\pi^2 \tau^2 (f - f_{0})^2} \right)\end{split}\]

Parameters:

frequency_array: array-like

The frequencies at which to compute the model.

hrss: float

The amplitude of the signal.

Q: float

The quality factor of the burst, determines the decay time.

frequency: float

The peak frequency of the burst.

kwargs: dict

UNUSED

Returns:

dict:

Dictionary containing the plus and cross components of the strain.