Abstract
Under the usual approximation of treating a biological particle as a spheroidal droplet, we consider the analysis of its size and shape with the high frequency photoacoustics and develop a numerical method which can simulate its characteristic photoacoustic waves. This numerical method is based on the calculation of spheroidal wave functions, and when comparing to the finite element model (FEM) calculation, can reveal more physical information and can provide results independently at each spatial points. As the demonstration, red blood cells (RBCs) and MCF7 cell nuclei are studied, and their photoacoustic responses including field distribution, spectral amplitude, and pulse forming are calculated. We expect that integrating this numerical method with the high frequency photoacoustic measurement will form a new modality being extra to the light scattering method, for fast assessing the morphology of a biological particle.
Highlights
The both models take their own characteristics—the spherical model results in a simple mathematical expression while the FEM can take account of any particle shapes, their respective limitations are apparent
Compared to the FEM, the spheroidal model yields an analytic solution expressed with spheroidal wave functions (SWFs)[21] which conveys a wealth of physical information, and affords a straightforward numerical calculation route based on numerically calculating SWFs
We describe such a numerical calculation method and demonstrate various results for characterizing the photoacoustic wave produced by red blood cells (RBCs) and MFC7 cell nuclei
Summary
The both models take their own characteristics—the spherical model results in a simple mathematical expression while the FEM can take account of any particle shapes, their respective limitations are apparent. To the best of our knowledge, the numerical calculation of SWFs was used in more difficult problems of the sound scattering and the light scattering of a spheroidal particle a long time ago[22,23], introducing it into the simulation of the spheroidal particle photoacoustic wave generation has not been reported. The merit of this new application is that only scalar solutions need to be considered and the solutions are not expanded on the mode number related to the azimuthal angle. 6.03 μ m 4.22 μ m 8.61 μ m 1.40 ρs (37 °C) 1110 kg/m3 1430 kg/m3 vs (37 °C) 1650 m/s 1582 m/s role played by the T-matrix calculation in solving the light scattering problems of spheroidal biological particles[24,25], the SWFs based numerical calculation will become important for photoacoustic study of biological particles under the spheroid approximation
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