来自平面速度源的辐射的球形波膨胀系数
Blake E Simon1,2, Mark F Hamilton1,2
1Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78766-9767, USA.
JASA express letters
|October 29, 2025
概括
一个新的理论简化了从平面源计算声束波函数膨胀系数的计算. 这种方法忽略了 evanescent 波,为近场声学提供了一个近似方法,并在散射和全息中有应用.
科学领域:
- 声学 声学 在声学方面
- 波浪传播 波浪传播
- 数学方法 数学方法
背景情况:
- 球形波函数扩展对于分析声场至关重要.
- 从平面源计算这些系数可能很复杂,特别是在近场.
研究的目的:
- 为从平面速度源的声束获得球形波函数膨胀系数提出一个一般理论.
- 通过忽略 evanescent 波组件并仅使用正常速度条件来简化计算.
主要方法:
- 开发了球形波函数膨胀系数的一般理论.
- 忽略了 evanescent 波组件,以获得近场解决方案.
- 将理论应用于轴对称源,并进行了简化.
- 通过对圆形和矩形活塞源的雷利积分进行直接数值评估来比较结果.
主要成果:
- 提出的方法只使用源平面中的正常速度条件准确地获得系数,尽管在近场中作为近似值.
- 对于轴对称源来说,已经成功地得到了简化.
- 对雷利积分的验证显示了对活塞源的良好一致.
结论:
- 提出的理论为计算球形波函数膨胀系数提供了一种有效的方法.
- 该方法适用于各种平面速度源,并简化了声学分析.
- 潜在的应用包括声学散射,辐射力计算和球形声学全息.
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