推导出球对称光声源的通用解析解，可用于快速仿真与成像系统设计。
Analytical Expression for Spherically Symmetric Photoacoustic Sources: A Unified General Solution (Theoretical Analysis and Derivation)
- 从光声波方程出发，推导出任意球对称初始分布的统一解析解
- 给出均匀、高斯、指数和幂律分布的具体表达式，远场近似也已涵盖
- 适合从事光声成像建模与仿真研究的研究者使用
本文给出了球对称初始压力分布光声源产生的时空声压的完整解析推导。从基本的光声波方程出发，推导出适用于任意球对称初始分布的统一解析解。针对均匀球源、高斯分布、指数分布和幂律分布等常见情形，提供了具体的表达式，并讨论了远场近似。所推导的表达式为光声成像系统设计与信号分析提供了有力工具。我们还提供了基于该通用解析模型的超快正向仿真代码，实现已发布在 GitHub 仓库：https://github.com/JaegerCQ/SlingBAG_Ultra。
原文摘要 · Abstract (English)
Here we present a comprehensive derivation of the analytical expression for the spatiotemporal acoustic pressure generated by photoacoustic sources with spherically symmetric initial pressure distributions. Starting from the fundamental photoacoustic wave equation, we derive a unified analytical solution applicable to arbitrary spherically symmetric initial distributions. Specific expressions are provided for several common distributions including uniform spherical sources, Gaussian distributions, exponential distributions, and power-law distributions. Far-field approximations are also discussed. The derived expressions provide valuable tools for photoacoustic imaging system design and signal analysis. We provide codes for ultrafast forward simulation using the general analytical spherically symmetric model, the implementation is available in the GitHub repository: \href{https://github.com/JaegerCQ/SlingBAG_Ultra}.
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