非近轴近似多高斯声束模型的相控阵换能器声场计算
Prediction of radiation beam fields from an array transducer with nonparaxial multi-Gaussian beam model
-
摘要: 针对近轴近似的多高斯声束模型无法准确计算离轴区域声场的问题,我们提出了一个矩形源的非近轴近似多高斯声束模型,用于计算偏转聚焦时线性相控阵换能器辐射的声场。利用该方法计算了由矩形阵元组成的相控线阵的辐射声场,并与瑞利积分、近轴近似方法及夫琅和费近似方法进行了分析和对比,计算结果表明该方法克服了常规近轴近似条件的限制,可以准确、快速地计算较大偏转范围内的换能器辐射声场,在计算相控阵换能器偏转聚焦声场中具有独特的优势。Abstract: In order to overcome the limitation of paraxial Gaussian beams model losing accuracy in off-axis beam fields, a nonparaxial multi-Gaussian beam model for a rectangular aperture is proposed. With the help of this method, beam fields generated by an ultrasonic linear phased array transducer are calculated and compared with the corresponding fields obtained by Rayleigh-Sommerfeld integral model, paraxial multi-Gaussian beam model and Fraunhoffer approximation respectively. It is shown that nonparaxial multi-Gaussian beam mode is not limited by paraxial approximation condition, and can efficiently and accurately predict the radiation beam field of a linear phased array transducer over a wide range of steering angles.