Convergent Born series improves the accuracy of numerical solution of time-independent photoacoustic wave equation
Convergent Born series improves the accuracy of numerical solution of time-independent photoacoustic wave equation
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Convergent Born级数提高了时间无关光声波方程数值解的精度
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
R. Saha
中科院分区：
文献类型：
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作者：
Anuj Kaushik;P. Yalavarthy;R. Saha
这项工作提出了两个变种的玻恩级数方法，第一次，提供了一个数值解的时间无关的光声波方程。这些方法是有效的，即使在源和周围区域之间的声速不匹配时，也能提供准确的解决方案。针对一个测试成像实例，系统地比较了传统Born级数（TBS）和收敛Born级数（CBS）方法。在大的频带（7-2000 MHz）上，声源外的声速保持恒定（1500 m/s），而声源内的声速从1950 m/s变化到1200 m/s（半径为5 μm的圆盘）。当声速的变化约为%或%时，TBS方法不能收敛。CBS方法提供了所需的强大的数值解，即使在成像域的各个区域中的声速不匹配的情况下。
This work presents two variants of Born-series methods, for the first time, providing a numerical solution to the time-independent photoacoustic wave equation. These methods are effective in providing accurate solution even when there is a mismatch in speed-of-sound between the source and the ambient region. The traditional Born-series (TBS) and convergent Born-series (CBS) methods have been systematically compared for a test imaging case. The solution was computed keeping speed-of-sound outside the source as constant (1500 m/s) and varying the same quantity from 1950 to 1200 m/s inside the source (a disc with 5 μm radius) over a large frequency band (7–2000 MHz). The TBS method fails to converge when the variation in the speed-of-sound is approximately % or %. The CBS method provides the required robust numerical solution even in case of mismatch in speed-of-sound in various regions of imaging domain.