论文标题

同时重建光声成像中光学和声学特性的同时使用等离子体成像

Simultaneous Reconstruction of Optical and Acoustical Properties in Photo-Acoustic Imaging using plasmonics

论文作者

Ghandriche, Ahcene, Sini, Mourad

论文摘要

我们提出了一种方法,用于同时重建电磁和声学材料参数,在给定的介质$ω$中,使用光声压力在$ω$的单个点上测量的图像,由等离激晶纳米粒子产生。 We prove that the generated pressure, that we denote by $p^{\star}\left(x, s, ω\right)$, depending on only one fixed point $x \in \partial Ω$, the time variable $s$, in a large enough interval, and the incidence frequency $ω$, in a large enough band, is enough to reconstruct both the sound speed, the mass density and the permittivity inside $Ω$.实际上,从测量压力的行为上,我们可以估计压力的行进时间,对于$ω$内的到达点,然后使用Eikonal方程,我们重建了传播的声速。另外,我们重建声学绿色功能的内部值。从对该绿色功能的奇异性分析中,我们沿着测量学,内部到达点,对数密度的对数级别的内部到达点提取积分。解决此(内部)积分几何问题为我们提供了$ω$内部质量密度函数的值。最后,从$ p^{\ star} \ left(x,s,ω\右)$相对于频率$ω$的行为,我们检测到生成的等离子共振,从中我们从中重建$ω$内的介电效率。

We propose an approach for the simultaneous reconstruction of the electromagnetic and acoustic material parameters, in the given medium $Ω$ where to image, using the photo-acoustic pressure, measured on a single point of the boundary of $Ω$, generated by plasmonic nanoparticles. We prove that the generated pressure, that we denote by $p^{\star}\left(x, s, ω\right)$, depending on only one fixed point $x \in \partial Ω$, the time variable $s$, in a large enough interval, and the incidence frequency $ω$, in a large enough band, is enough to reconstruct both the sound speed, the mass density and the permittivity inside $Ω$. Indeed, from the behavior of the measured pressure in terms of time, we can estimate the travel time of the pressure, for arriving points inside $Ω$, then using the eikonal equation we reconstruct the acoustic speed of propagation. In addition, we reconstruct the internal values of the acoustic Green's function. From the singularity analysis of this Green's function, we extract the integrals along the geodesics, for internal arriving points, of the logarithmic-gradient of the mass density. Solving this (internal) integral geometric problem provides us with the values of the mass density function inside $Ω$. Finally, from the behavior of $p^{\star}\left(x, s, ω\right)$ with respect to the frequency $ω$, we detect the generated plasmonic resonances from which we reconstruct the permittivity inside $Ω$.

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