论文标题
使用谐振介电纳米颗粒对光声成像方式的数学分析：2D TM模型
Mathematical Analysis of the Photo-acoustic imaging modality using resonating dielectric nanoparticles: The 2D TM-model
论文作者
论文摘要
我们使用介电纳米颗粒作为对比剂来处理光声成像方式。令人兴奋的是，在给定的入射频率下具有电磁波的界面$ω$的异质组织，其周围的热量会产生声音压力波（或波动）。可以在可访问的区域$ \ a部分ω$中测量声压力。然后，目的是从这些测量值中提取有关该组织的光学特性（即介电常数和电导率）的信息。我们描述了两种情况。在第一个中，我们注入单个纳米颗粒，而在第二个纳米颗粒中，我们注入了紧密间隔的纳米颗粒（即二聚体）的夫妻。 这可以使用介电纳米颗粒具有高度对比度的电介电常数和电导率来完成。使用接近使用的介电纳米颗粒的共振频率，可以使用这些结果。这使我们能够通过直接近似公式解决光声反问题，将测量压力与组织的光学特性联系起来。结果在2D TM模型中是合理的。
We deal with the photoacoustic imaging modality using dielectric nanoparticles as contrast agents. Exciting the heterogeneous tissue, localized in a bounded domain $Ω$, with an electromagnetic wave, at a given incident frequency, creates heat in its surrounding which in turn generates an acoustic pressure wave (or fluctuations). The acoustic pressure can be measured in the accessible region $\partial Ω$ surrounding the tissue of interest. The goal is then to extract information about the optical properties (i.e. the permittivity and conductivity) of this tissue from these measurements. We describe two scenarios. In the first one, we inject single nanoparticles while in the second one we inject couples of closely spaced nanoparticles (i.e. dimers). This can be done using dielectric nanoparticles enjoying high contrasts of both its electric permittivity and conductivity. These results are possible using frequencies of incidence close to the resonances of the used dielectric nanoparticles. This allows us to solve the photoacoustic inverse problem with direct approximation formulas linking the measured pressure to the optical properties of the tissue. The results are justified in the 2D TM-model.
