Abstract: According to the boundary conditions of spring model for the interface between two solid materials, the integral representations of solutions are obtained by applying the Fourier transform to the wave equations. The dispersion and attenuation characteristics of the interface wave are analyzed theoretically and calculated numerically for two solid materials with similar shear wave velocity. The results show that when the tangential stiffness gradually changes from the slip boundary to the perfect boundary, the dispersion characteristics of the interface wave change accordingly. On this basis, the transient interface wave signals excited by a linear laser pulse source under different interface bonding conditions are further calculated. The signal characteristics and propagation characteristics of the interface waves under different interface bonding conditions can be more intuitively observed, including dispersion characteristics and amplitude variation. These results provide theoretical basis and means of detection and characterization for further quantitative and qualitative ultrasonic detection and evaluation based on interfacial wave propagation characteristics.