中文摘要：

在高斯声束模拟超声场的研究中，高斯系数作为声场计算的一个重要指标，对声场模拟精度具有直接的影响。选取合适的高斯系数列提高模拟声场的准确度有着重要的意义。利用声场计算中的误差作为目标函数，通过遗传算法优化高斯系数的取值，并与瑞利积分模拟轴线声场进行对比，分析了高斯系数的个数及取值对声场的影响。在此基础上，又通过缩小误差范围来重新界定系数的选取，实现了系数的进一步的优化重构。采用优化后的系数可以得到更加准确的模拟声场，同日寸为利用高斯展开法来计算介质中辐射声场的分布提供了更优的高斯系数因子。

英文摘要：

As Gaussian beam field, Gaussian coefficient is used to simulate ultrasonic is an important calculation parameter and has direct impact on simulation accuracy. An appropriate selection of Gaussian coefficient is very vital to increase the simulation accuracy .With the calculation error as objective function, the values of Gaussian coefficient are optimized with Genetic algorithm. After the results of simulation being compared with axial acoustic field simulated with Rayleigh integral algorithm, the influence of value and number of Gaussian coefficient on ultrasonic field are analyzed. Based on the above, the calculation error range is narrowed and the coefficients are selected again. Then the farther optimization and refactor of Gaussian coefficient are completed. A more accurate simulation of ultrasonic field can be got with the optimized coefficients. By this way, better Gaussian coefficient factors are provided for calculating the distribution of radiation ultrasonic field in medium with Gaussian expansion method.