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The gravitational field of compact objects, such as primordial black holes,can create multiple images of background sources. For transients such as fastradio bursts (FRBs), these multiple images can be resolved in the time domain.Under certain circumstances, these images not only have similar burstmorphologies but are also phase-coherent at the electric field level. With anovel dechannelization algorithm and a matched filtering technique, we searchfor repeated copies of the same electric field waveform in observations of FRBsdetected by the FRB backend of the Canadian Hydrogen Mapping IntensityExperiment (CHIME). An interference fringe from a coherent gravitationallensing signal will appear in the time-lag domain as astatistically-significant peak in the time-lag autocorrelation function. Wecalibrate our statistical significance using telescope data containing no FRBsignal. Our dataset consists of $\sim$100-ms long recordings of voltage datafrom 172 FRB events, dechannelized to 1.25-ns time resolution. This coherentsearch algorithm allows us to search for gravitational lensing signatures fromcompact objects in the mass range of $10^{-4}-10^{4} ~\mathrm{M_{\odot}}$.After ruling out an anomalous candidate due to diffractive scintillation, wefind no significant detections of gravitational lensing in the 172 FRB eventsthat have been analyzed. In a companion work [Leung, Kader+2022], we interpretthe constraints on dark matter from this search.

A High-Time Resolution Search for Compact Objects using Fast Radio Burst Gravitational Lens Interferometry with CHIME/FRB