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A modeling approach to predict acoustic nonlinear field generated by a transmitter with an aluminum lens
Author(s) -
Fan Tingbo,
Liu Zhenbo,
Chen Tao,
Li Faqi,
Zhang Dong
Publication year - 2011
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.3622602
Subject(s) - nonlinear system , nonlinear acoustics , lens (geology) , acoustics , physics , transmitter , optics , field (mathematics) , piston (optics) , focal length , computer science , mathematics , telecommunications , channel (broadcasting) , quantum mechanics , wavefront , pure mathematics
Purpose: In this work, the authors propose a modeling approach to compute the nonlinear acoustic field generated by a flat piston transmitter with an attached aluminum lens. Methods: In this approach, the geometrical parameters (radius and focal length) of a virtual source are initially determined by Snell's refraction law and then adjusted based on the Rayleigh integral result in the linear case. Then, this virtual source is used with the nonlinear spheroidal beam equation (SBE) model to predict the nonlinear acoustic field in the focal region. Results: To examine the validity of this approach, the calculated nonlinear result is compared with those from the Westervelt and (Khokhlov‐Zabolotskaya‐Kuznetsov) KZK equations for a focal intensity of 7 kW/cm 2 . Results indicate that this approach could accurately describe the nonlinear acoustic field in the focal region with less computation time. Conclusions: The proposed modeling approach is shown to accurately describe the nonlinear acoustic field in the focal region. Compared with the Westervelt equation, the computation time of this approach is significantly reduced. It might also be applicable for the widely used concave focused transmitter with a large aperture angle.