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报告题目: Fixed angle inverse scattering for sound speeds close to constant
报 告 人: Shiqi Ma
报告人所在单位: University of Jyväskylä
报告日期: 2022-09-06
报告时间: 14:00-15:00
报告地点: 光华楼东主楼1801
   
报告摘要:

We study the fixed angle inverse scattering problem of determining a sound speed from scattering measurements corresponding to a single incident wave. The main result shows that a sound speed close to constant can be stably determined by just one measurement. Our method is based on studying the linearized problem, which turns out to be related to the acoustic problem in photoacoustic imaging. We adapt the modified time-reversal method from [P. Stefanov and G. Uhlmann, Thermoacoustic tomography with variable sound speed, Inverse Problems 25 (2009), 075011] to solve the linearized problem in a stable way, and use this to give a local uniqueness result for the nonlinear inverse problem.

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本年度学院报告总序号: 525

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