## 1 Introduction  
In 90% of cases, acoustic emission (AE) testing is carried out on thin-walled objects with a wall thickness of 3-40 mm. This value is comparable to the lengths of acoustic waves, which, at typical operating frequencies of AE sensors (30-500 kHz), lie in a range from 5 to 170 mm. In this case, the pattern of the propagation of acoustic waves varies significantly compared to the simplest case of infinite volume or half-space, which makes it impossible to use simple models suitable for massive objects based on volumetric longitudinal, volumetric transverse, and Rayleigh waves. Thus, there is a need to use a model for guided waves. The main feature of guided waves is their dispersive propagation--i.e., the dependence of their signal propagation speed on frequency. Because of the remote character of AE testing, in the case of a larger structure, the dispersive propagation effect causes a strong influence on the waveform and spectrum of the AE impulse. In addition to the distance, the thickness of the testing structure and the transfer function of the sensor affect the parameters of the AE impulse. The uncertainty of the diagnostic signal waveform is a typical feature for all types of non-destructive testing (NDT) methods, but in the case of AE testing, this factor is more important, since the variability of the impulse parameters is more radical compared to other NDT methods. For example, with an increase in the distance between the defect and sensor by more than 10 m, the amplitude of the AE impulse can decrease to 60 dB, and the AE impulse duration can increase 100 times compared to when the sensor is installed near the defect. For the correct detection and location of the AE source, it is necessary to perform all the data processing stages online: filtering, detecting of the AE impulse and arrival time estimation. In order to provide correct and reliable processing results, the reference AE impulse waveform must be considered. As a rule, the AE impulse is represented in signal processing algorithms as a Gaussian-type single impulse, characterized by rise time, rise angle, duration, and amplitude. In addition, filtering methods and methods for determining the impulse time of arrival are verified, as a rule, using experimental facilities. The design limitations of experiments do not allow us to estimate the universality of these methods, and their accuracy depends on the actual testing conditions, such as the wall thickness of the testing structure and the distance between the defect and the sensor. One of the reasons that could explain this situation is the interdisciplinary character of the AE method, based on fracture mechanics, acoustics, and data processing theory. It should be noted that, despite significant progress in each of the areas listed above, only a small number of works have sought to integrate the results obtained in the various fields of knowledge that form the methodology of the AE NDT method. The aim of this study is to develop an algorithm for AE impulses simulation, which would provide a high speed and low complexity for computations. The signals obtained as a result of modeling are planned to be used to form test samples for the verification and testing of AE data processing algorithms. Guided ultrasonic waves have received significant attention in recent decades, especially in the fields of active nondestructive evaluation and acoustic emission. There are a lot of methods that provide analytical, numerical, and finite element simulations of guided wave propagation. Analytical solutions are applicable to simple waveguide geometries. Without considering the interactions between waves, but these methods are often limited by fundamental modes [1; 2; 3]. The most popular method for AE wave propagation in thin-walled objects due to its capabilities is FEM. In this area, it is necessary to examine the research work carried out by the groups of scientists under the direction of [PERSON] [4; 5] and [PERSON] [6].