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Bessel wave is a kind of non-diffraction wave in many types of ultrasonic field. In theory, it can propagate infinitely far without divergence. The non-diffraction characteristics of Bessel wave make it have potential application value. To quantitatively study Bessel wave, first of all, we need to calculate and analyze its sound field. There are many simulation methods, such as Rayleigh Sommerfeld method, finite difference time domain algorithm and so on. Generally speaking, these methods are time-consuming, computational complexity and low accuracy. In this paper, a simple method is proposed to simulate Bessel sound field by using the concept of angular spectrum. Firstly, the original angular spectrum is obtained by Fourier transform of the sound field distribution on the sensor boundary. Then, the angular spectrum distribution on any other plane perpendicular to the direction of sound field propagation is calculated according to the principle of angular spectrum propagation. Then, the field distribution on the plane can be obtained by inverse Fourier transform, and all the fields perpendicular to the direction of sound field propagation can be obtained. The results of the whole sound field distribution can be obtained by combining the field distribution of the plane. The simulation results of different methods show that this method has fast calculation speed and high simulation accuracy due to the introduction of Fourier transform. It can not only simulate Bessel sound field effectively, but also simulate other types of sound field. Therefore, the work of this paper has a certain significance for the study of non-diffraction sound field.
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