Acoustic radiation force on a rigid cylinder in an off-axis Gaussian beam near an impedance boundary

• Published in: Wave motion 2018-12, Vol.83, p.111-120
• Main Authors: Qiao, Yupei, Shi, Jingyao, Zhang, Xiaofeng, Zhang, Guangbin
• Format: Article
• Language: English
• Subjects: Acoustic impedance; Acoustic radiation force; Computer simulation; Cylinders; Cylindrical waves; Gaussian beams (optics); Ideal fluids; Impedance boundary; Incident waves; Mathematical analysis; Normal distribution; Off-axis Gaussian beam; Plane waves; Radiation; Reflectance; Reflected waves; Rigid infinitely cylinder; Scattering; Simulation; Sound waves
• ISSN: 0165-2125; 1878-433X
• DOI: 10.1016/j.wavemoti.2018.09.004

The exact equations of the axial and transverse acoustic radiation force functions of a Gaussian beam arbitrarily incident on an infinite rigid cylinder close to an impedance boundary and immersed in an ideal fluid are deduced by expressing the incident wave, the scattering wave and the boundary reflected wave in terms of the cylindrical wave function. The effects of the beam waist, the sound reflection coefficient, the cylinder position and the distance from the impedance boundary on the acoustic radiation force are studied using numerical simulations. The simulation results show that the amplitude of the acoustic radiation force function increases with beam width. Moreover, the values of the acoustic radiation force in both the axial and transverse directions reach those of a plane wave when the beam width is considerably larger than the wavelength of the Gaussian beam. The properties of the impedance boundary and the position of the cylinder in the Gaussian beam have a considerable effect on the magnitude and direction of the force. The simulation results, particularly in the case of a transverse force, indicate the presence of a negative acoustic radiation force that is related to the nondimensional frequency and position of the cylinder in the Gaussian beam. •The radiation force of a cylinder in a Gaussian beam is studied theoretically.•The ARF on a cylinder near a boundary is derived for an off-axis Gaussian beam.•The effects of boundary and beam waist on radiation force are studied numerically.•The radiation forces of the cylinder at different positions are computed.