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本文导出了一种新的计算球壳辐射器声场的理论方法。指出若辐射器的振速分布能分解为Ｌｅｇｅｎｄｒｅ多项式的线性组合。在Ｏ’Ｎｅｉｌ假设下，其声场可用一重积分表达。借助于电子计算机详细分析了相控球面阵各结构参数及工作状态对声场的影响，找出了宜于加热治疗的换能器的结构参数和工作状态。计算结果表明，相控球面陈的聚焦深度可在２ｃｍ至８ｃｍ 间调节，且可对该范围内直径小于５ｃｍ的肿瘤作局部加热。从声场的均匀性考虑，对中小尺寸的深部肿瘤可望得到更好的热疗效果。
In this paper, a new theoretical method of calculating the sound field of a spherical shell radiator is derived. It is pointed out that if the radiator velocity distribution can be decomposed into a linear combination of Legendre polynomials. Under the O’Neil assumption, the sound field can be expressed by a single integral. With the help of the computer, the influence of the structure parameters and working state of the phased spherical array on the sound field is analyzed in detail, and the structural parameters and working conditions of the transducer suitable for heating treatment are found out. The calculated results show that the focusing depth of the phased spherical surface can be adjusted between 2cm and 8cm, and the tumors in this area with the diameter less than 5cm can be locally heated. Considering the uniformity of the sound field, it is expected that a better hyperthermia effect can be obtained for the deep tumors of small and medium size.