固定频率下无相位散射数据的相位恢复公式
Formulas for phase recovering from phaseless scattering data at fixed frequency
摘要:
本文研究了$d\ge 2$维中紧支撑散射体在固定频率下的量子和声波传播。在这些框架内,我们给出了明确的公式,从适当的无相散射数据的相位恢复。作为推论,我们给出了在没有相位信息的情况下,量子和声学逆散射在固定频率下的全局唯一性结果。
英文摘要:
We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension $d\ge 2$. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.
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