中文摘要：

一个 nonparaxial multi-Gaussian 横梁模型基于矩形的孔被建议以便克服在离开轴横梁的输的精确性回答的 paraxial Gaussian 横梁模型的 hmitation。与方法，一个超声的线性分阶段执行的数组变换器产生的听觉的地被计算并且由 Rayleigh-Sommerfeld 积分， paraxial multi-Gaussian 横梁模型，和 Fraunhof-fer 近似方法与相应的域相比获得了。模拟例子证明那个 nonparaxial multi-Gaussian 横梁模型由 paraxial 近似条件是不有限的并且能高效地并且精确地预言听觉的地在大量驾驶角度上由一个线性分阶段执行的数组变换器放射了。

英文摘要：

A nonparaxial multi-Gaussian beam model based on the rectangular aperture is proposed in order to overcome the limitation of paraxial Gaussian beam model which losing accuracy in off-axis beam fields. With the method, acoustical field generated by an ultrasonic linear phased array transducer is calculated and compared with the corresponding field obtained by Rayleigh-Sommerfeld integral, paraxial multi-Gaussian beam model, and Fraunhoffer approximation method. Simulation examples show that nonparaxial multi-Gaussian beam model is not limited by the paraxial approximation condition and can predict efficiently and accurately the acoustical field radiated by a linear phased array transducer over a wide range of steering angles.