## 1 Introduction  
Arterial vascular lesions can cause all kinds of serious cardiovascular diseases. Therefore, it is of great clinical significance to develop accurate and rapid detection methods for the early diagnosis of arterial vascular lesions. As an indispensable clinical tool, ultrasound examination has the advantages of non-invasion and non-radiation and is widely used in various medical tests [1; 2]. In this method, specific kinds of ultrasonic waves are artificially stimulated, and the mechanical properties of human tissues are obtained by analyzing various reflection and transmission phenomena in the human body to assist in medical diagnosis [3; 4]. In 1998, [PERSON] et al. [5] first proposed the shear wave elastography (SWE) method, and the echo wave of the shear wave that is induced remotely by the focused ultrasonic beam radiation force is analyzed in detail to obtain the elastic modulus of the internal organs more precisely. The SWE method has also been introduced in the diagnosis of vascular diseases [6; 7]. In 2016, [PERSON] et al. [8] simulated the human carotid artery with the pig aorta and estimated the stiffness by SWE. Then, [PERSON] and [PERSON] [9] proposed a method to evaluate arterial health by observing and classifying echo wave characteristics of SWE. Systematic reviews from [PERSON] [10] and [PERSON] [11] comprehensively discussed the feasibility and clinical value of vascular SWE in evaluating atherosclerotic diseases or other related diseases at different stages. However, different from other large and uniform human tissues, arterial vessels cannot be regarded as an infinite medium, but instead, as a thin-walled hollow cylinder form. [PERSON] [12] has proved that group velocity with an infinite medium assumption incorrectly estimated shear modulus values in confined geometries, and should therefore not be available in the diagnosis of arterial vascular lesions. The ultrasonic wave propagated in the vascular wall will propagate along the tube wall and have reflective and radial interference, thus showing the propagation characteristics of guided waves [13; 14], which is inconsistent with the hypothesis in the SWE. In 2011, [PERSON] [15] first developed a thin-layer soft of viscoelastic solids, obtained the analytical solution of zero-order antisymmetric Lamb waves, and proposed a method to judge the elasticity of blood vessels by analyzing the propagation characteristics of Lamb waves in the thin-layer soft model. The feasibility of the thin-layer soft model in the measurement of vascular elasticity was also verified through the experiment of polyurethane tubes and pig arteries [13]. Then, [PERSON] [16] estimated the arterial shear modulus in longitudinal and transverse directions using this model in [15]. [PERSON] [17] also developed a method to solve the vascular elastic modulus based on the guided circumferential wave (GCW) in the thin-layer-based method. However, since the guided wave property equation in [15] is a transcendental equation, all of the above solutions can only be obtained by the finite element method, which requires a huge amount of computation. In addition, the ratio between the radius and thickness of blood vessels must be greater than a certain value to analyze the axial propagation of guided waves in blood vessels by the thin-layer-based model. Moreover, when the wavelength is equivalent to the diameter of the blood vessel, the geometric shape of the blood vessel will have an impact on the propagation characteristics of the guided wave [14], resulting in a large deviation in the prediction of the thin-layer-based method for low frequencies. There are also some methods for calculating guided waves in a cylinder. Transfer Matrix Method [18] and Global Matrix Method [19; 20] have been used to solve the propagation characteristics of Lamb waves in isotropic plates and cylinders. Some efficient numerical solvers, such as Disperse [21], have also been developed based on matrix methods.