Formulas for phase recovering from phaseless scattering data at fixed frequency

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• 作者：R.G. Novikov^a ; ^b ; ^{novikov@cmap.polytechnique.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35J10 ; 35P25 ; 35R30 ; 81U40
• 刊名：Bulletin des Sciences Mathematiques
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：139
• 期：8
• 页码：923-936
• 全文大小：355 K

文摘

We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension d≥2$d\ge 2$. 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.