Limits on GRB Prompt Radio Emission Using the LWA1

As a backend to the first station of the Long Wavelength Array (LWA1) the Prototype All Sky Imager (PASI) has been imaging the sky $>$ -26${}^{\circ }$ declination during 34 Gamma Ray Bursts (GRBs) between January 2012 and May 2013. Using this data we were able to put the most stringent limits to date on prompt low frequency emission from GRBs. While our limits depend on the zenith angle of the observed GRB, we estimate a 1$\sigma$ RMS sensitivity of 68, 65 and 70 Jy for 5 second integrations at 37.9, 52.0, and 74.0 MHz at zenith. These limits are relevant for pulses $\ge$ 5 s and are limited by dispersion smearing. For pulses of length 5 s we are limited to dispersion measures ($DM$s) $\le$ 220, 570, and 1,600 pc cm${}^{-3}$ for the frequencies above. For pulses lasting longer than 5s, the $DM$ limits increase linearly with the duration of the pulse. We also report two interesting transients, which are, as of yet, of unknown origin, and are not coincident with any known GRBs. For general transients, we give rate density limits of $\le$ $7.5\times {10}^{-3}$, $2.9\times {10}^{-2}$, and $1.4\times {10}^{-2}$ yr${}^{-1}$ deg${}^{-2}$ with pulse energy densities $>1.3\times {10}^{-22}$, $1.1\times {10}^{-22}$, and $1.4\times 10^{-22}$Jm$^{-2}$Hz$^{-1}$ and pulse widths of 5 s at the frequencies given above.