quotes values of 17 dB and 14 dB is less than $20$% and $5$% respectively.\

![image](beams.pdf){width="\linewidth"}

Probability of multiple-beam events {#sec:pmbe}
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The probability of multiple-beam events depends on the number of neighboring beams at different points on the focal plane. Anticipating this dependence, we partition the sky into as many regions as the number of beams. Each region then has a ‘principal’ beam which will register the highest flux-density among all beams were a burst to occur in that sky region. The burst may be additionally detected in one or more auxiliary beams. We consider integral source counts of the form in Equation \[eqn:lnls\]. We assume that the same detection threshold is applied to the data streams from all beams. We absorb any inter-beam variation in system temperature and aperture efficiency into the antenna-beam gain (see Appendix A1). The probability of detecting a burst coming from a solid-angle element $\delta^2{{\bm l}}$ at an angular offset ${{\bm l}}$ from a beam’s boresight is then $\mathcal{P}({{\bm l}}) \propto g^{\alpha}({{\bm l}})\delta^2{{\bm l}}$, where $g({{\bm l}})$ is the antenna beam gain towards direction ${{\bm l}}$.\
To compute the probabilities of multiple-beam events, we use the following algorithm.

1.  For each pixel ${{\bm l}}$ 