Photoacoustic waves of a fluidic elliptic cylinder: Analytic solution and finite element method study

In this study, we focused on the photoacoustic wave production of a fluidic elliptic cylinder for modelling blood vessels, where consideration cross section can be important some diagnosis vascular diseases. First, under condition optically-thin absorption, analytic solution based Helmholtz equation in coordinates by using Mathieu functions was derived. Then, finite element method (FEM) model established to verify solution. addition waves and corresponding power spectra, both near- far-field amplitude angular distributions were compared. The results revealed that dependent spectra are critical indicators ellipse shape variation. This finding provide considerable insight into vessel changes not only terms sizes but also shapes.