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首页> 外文期刊>Acoustical physics >Setting boundary conditions on the Khokhlov-Zabolotskaya equation for modeling ultrasound fields generated by strongly focused transducers
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Setting boundary conditions on the Khokhlov-Zabolotskaya equation for modeling ultrasound fields generated by strongly focused transducers

机译：设置khokhlov-zabolotskaya方程的边界条件，用于建模强大聚焦传感器产生的超声字段

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摘要

An equivalent source model is developed for setting boundary conditions on the parabolic diffraction equation in order to simulate ultrasound fields radiated by strongly focused medical transducers. The equivalent source is defined in a plane; corresponding boundary conditions for pressure amplitude, aperture, and focal distance are chosen so that the axial solution to the parabolic model in the focal region of the beam matches the solution to the full diffraction model (Rayleigh integral) for a spherically curved uniformly vibrating source. It is shown that the proposed approach to transferring the boundary condition from a spherical surface to a plane makes it possible to match the solutions over an interval of several diffraction maxima around the focus even for focused sources with F-numbers less than unity. This method can be used to accurately simulate nonlinear effects in the fields of strongly focused therapeutic transducers using the parabolic Khokhlov-Zabolotskaya equation.
机译：开发了一种等效的源模型，用于在抛物线衍射方程上设定边界条件，以模拟强烈聚焦的医疗传感器辐射的超声区域。 等效源在平面中定义; 选择用于压力幅度，孔径和焦距的相应边界条件，使得梁的焦点区域中的抛物面模型的轴向溶液与用于球形弯曲的均匀振动源的完全衍射模型（瑞利积分）的解决方案匹配。 结果表明，从球面到平面将边界条件转移到平面的所提出的方法使得可以将解决方案与焦点周围的几个衍射最大值的间隔匹配，即使对于小于单位的聚焦来源，即使是聚焦的源。 这种方法可用于使用抛物线Khokhlov-Zabolotskaya方程准确地模拟强烈聚焦的治疗换能器领域的非线性效应。

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