## 1 Introduction  
Ultrasonic phased array detection has the technical advantages of high sensitivity, good applicability, and diversified application fields [1]. Ultrasonic phased array detection technology uses a phased array probe to generate and receive ultrasonic waves. Each chip of the phased array probe is an array element, and each array element has an independent transmitting and receiving circuit. By controlling the time each array element transmits (or receives) pulses, the position and deflection angle of a beam focus can be changed, and then ultrasonic imaging can be realized by mechanical scanning or electronic scanning. The concept of full matrix capture (FMC) is proposed in relevant studies, and the total focusing method (TFM) based on an FMC is established and used [2; 3; 4]. Compared with traditional ultrasonic phased array detection, TFM can focus on any point in the measurement area through the post-processing of full matrix data [5]. FMC-TFM ultrasonic imaging detection has high detection accuracy and can provide full play to the advantages of data. Expertsand scholars have performed a lot of outstanding work in the research direction of TFM imaging quality, data acquisition, and system optimization. [PERSON] et al. used the mixed linear system model to compare and analyze the imaging quality of FMC-TFM, plane wave imaging (PWI), and virtual source aperture (VSA) technology and found that FMC-TFM has high imaging quality, but the speed of data acquisition is not high [6]. [PERSON] et al. studied the imaging quality and speed based on FMC, cs-FMC, and sparse compression methods. The image quality generated by cs-FMC and FMC is equivalent, and the implementation of a sparse array improves the compression reconstruction efficiency by 11 times, and the imaging speed is close to 7 times [7]. [PERSON] et al. proposed the F-TFM system, applied the TFM imaging system to FPGA, optimized the balance mechanism of recalculation and memory access in TFM, and upgraded the accelerator architecture. The results show that F-TFM can maintain high-quality images and provide the best data throughput [8]. [PERSON] et al. performed array imaging using a laser. The array data were captured using the full matrix and imaged by TFM. The experiment was carried out by lifting it 5 mm-20 mm away, which could improve the spatial resolution and defect detection ability of the side borehole [9]. [PERSON] et al. proposed surface reconstruction technology based on three-dimensional ultrasonic data. Compared with the TFM imaging method, synthetic aperture technology can improve the signal-to-noise ratio but reduces the resolution and coverage [10]. [PERSON] et al. proposed a laser-induced full matrix imaging method for complex-shape objects, extracted surface Rayleigh waves for surface analysis, and used longitudinal wave imaging. TFM is suitable for complex surface imaging [11]. [PERSON] et al. proposed an optimal sparse matrix layout and proved that when its data acquisition reached three trigger points, the sparse matrix was superior to plane wave imaging (PWI) and sparse periodic arrangement (SPA) in terms of the noise contrast and array performance index [12]. [PERSON] et al. proposed a sparse TFM imaging method based on directivity correction (dc-TFM) to solve the problems of inaccurate TFM imaging methods and long calculation time in rail defect detections. The experimental results show that the signal-to-noise ratio and array performance index are slightly reduced, but the imaging time is shortened by more than 40% [13]. [PERSON] et al. introduced a segmented prime search method (SSM) to quickly determine the incident point of the wedge-shaped double-layer medium. By imposing constraints between the point source and the target, the search interval was reduced, the efficiency of PAUT (FMC) captured by the full matrix was improved, and the accuracy of the beam was ensured [14]. [PERSON] et al.