bilby.gw.source.sinegaussian

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

A frequency-domain sine-Gaussian burst source model.

$$\begin{array}{rl}\tau & =\frac{Q}{\sqrt{2}\pi f_0}\\ \alpha & =\frac{Q}{4\sqrt{\pi }{f}_0}\\ h_{+}& =\frac{h_{\mathrm{r}\mathrm{s}\mathrm{s}}\sqrt{\pi }\tau }{2\sqrt{\alpha (1+e^{-Q^2})}}(e^{-{\pi }^2{\tau }^2(f+f_0{)}^2}+e^{-{\pi }^2{\tau }^2(f-f_0{)}^2})\\ h_{\times }& =\frac{i{h}_{\mathrm{r}\mathrm{s}\mathrm{s}}\sqrt{\pi }\tau }{2\sqrt{\alpha (1-e^{-Q^2})}}(e^{-{\pi }^2{\tau }^2(f+f_0{)}^2}-e^{-{\pi }^2{\tau }^2(f-f_0{)}^2})\end{array}$$

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.