LAUSR

The acoustic power (AP) of high-intensity focused ultrasound (HIFU) shows great potential for ensuring the efficacy and safety of tumor treatment. By considering the energy of the harmonics, an easily applicable nonlinear AP measurement method for HIFU based on the fundamental focal axial vibration velocity (F-FAVV) is proposed. The focal pressures of the harmonics with respect to the surface vibration velocity are simulated, and a piecewise function of the required harmonic order is developed based on the 40-dB attenuation criterion of the harmonic-to-fundamental ratio. With the relationships between the power gain and the FAVVs of the harmonics, the dependence of AP on the F-FAVV is achieved by summing the harmonic powers. The APs of HIFU under various surface vibration velocities are verified by experimental measurements of the F-FAVV using a laser vibrometer and the corresponding integration results over the transducer surface. Good agreement between the numerical and experimental results demonstrates the feasibility of accurate AP measurement for HIFU using the F-FAVV and suggests the potential for applications in biomedical engineering.The acoustic power (AP) of high-intensity focused ultrasound (HIFU) shows great potential for ensuring the efficacy and safety of tumor treatment. By considering the energy of the harmonics, an easily applicable nonlinear AP measurement method for HIFU based on the fundamental focal axial vibration velocity (F-FAVV) is proposed. The focal pressures of the harmonics with respect to the surface vibration velocity are simulated, and a piecewise function of the required harmonic order is developed based on the 40-dB attenuation criterion of the harmonic-to-fundamental ratio. With the relationships between the power gain and the FAVVs of the harmonics, the dependence of AP on the F-FAVV is achieved by summing the harmonic powers. The APs of HIFU under various surface vibration velocities are verified by experimental measurements of the F-FAVV using a laser vibrometer and the corresponding integration results over the transducer surface. Good agreement between the numerical and experimental results demonstrates...