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A novel numerical solution to the diffraction term in the KZK nonlinear wave equation
, Article Proceedings of the 38th Annual Symposium of Ultrasonic Industry Association, UIA 2009, 23 March 2009 through 25 March 2009, Vancouver, BC ; 2009 ; 9781424464296 (ISBN) ; Farjami, Y ; Gharibzadeh, S ; Tavakkoli, J ; Sharif University of Technology
Abstract
Nonlinear ultrasound modeling is finding an increasing number of applications in both medical and industrial areas where due to high pressure amplitudes the effects of nonlinear propagation are no longer negligible. Taking nonlinear effects into account makes the ultrasound beam analysis more accurate in these applications. One of the most widely used nonlinear models for propagation of 3D diffractive sound beams in dissipative media is the KZK (Khokhlov, Kuznetsov, Zabolotskaya) parabolic nonlinear wave equation. Various numerical algorithms have been developed to solve the KZK equation. Generally, these algorithms fall into one of three main categories: frequency domain, time domain and...