论文标题
Westervelt方程和非线性恢复的弱非线性几何光学器件
Weakly nonlinear geometric optics for the Westervelt equation and recovery of the nonlinearity
论文作者
论文摘要
我们研究了弱非线性制度中的非扩展Westervelt方程。我们表明，领先的配置文件方程是汉堡类型的。我们表明，可以从从不同方向发送的传输高频波包的倾斜来重建紧凑的非线性$α$，因为这些倾斜与$α$的X射线变换成正比。
We study the non-diffusive Westervelt equation in the weakly nonlinear regime. We show that the leading profile equation is of Burgers' type. We show that a compactly supported nonlinearity $α$ can be reconstructed from the tilt of the transmitted high frequency wave packets sent from different directions since those tilts are proportional to the X-ray transform of $α$.
