Air-coupled ultrasonic non-destructive testing technology has unique advantages such as non-contact detection, suitability for complex working conditions, and in-situ testing. The air-coupled ultrasonic transducer is a key component for ultrasonic excitation and reception. Its sound field characteristic parameters directly affect the performance of air-coupled ultrasonic detection system. Therefore, it is crucial to conduct research on sound field measurement of air-coupled transducers and characterize the sound field parameters. Compared with the microphone method, acousto-optic effect method has high spatial resolution, wide frequency band range, and non-invasive measurement of sound field. In response to the problem of low efficiency in radial sound field scanning with the acousto-optic effect method, this study investigated the reconstruction principles of traditional filtering back-projection reconstruction algorithm and algebraic reconstruction algorithm, and adopted different scanning resolutions to simulate and compare the tomographic images of three air-coupled ultrasound transducers with different frequencies. The objective is to reconstruct high-quality radial sound field images with fewer scanning projection data. Finally, different reconstruction algorithms were used to perform scanning and reconstruction experiments of the radial sound field to verify simulation results.