In this work, we present theoretical and experimental data on detecting pulsed radio frequency fields. We focus on pulse arrival time detection accuracy. We measure two-photon Rydberg atom EIT in response to ~μs pulse-modulated radio-frequency signals resonant with a Rydberg-Rydberg transition, using a room temperature cesium vapor cell with the lasers locked on atomic resonances. We study the dependence of the atomic response on optical and radio-frequency Rabi frequencies as well as effects such as atomic collisions, ionization, and transit time broadening. We find good agreement with time-dependent simulations performed using a density matrix approach, with a dark state added to account for Rydberg atom decay. We present factors that can influence the sensitivity and timing precision of radio frequency pulses detected under these conditions. Such a system demonstrates potential for the detection of weak radio-frequency pulses in communications and radar applications.
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