Phase retrieval for solutions of the Shrödinger and Helmholtz equations

Philippe Jaming (1)

1 IMB - Institut de Mathématiques de Bordeaux

—In this paper we give an overview of our recent results on the phase retrieval problem for solutions of two partial differential equations: the free Shrödinger equation and the Helmholtz equation. In particular, we show that structured signals often imply uniqueness in the phase retrieval problem.

Mots clés: Helmholtz equation; Shrödinger equation; Phase retrieval

Domaines: Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]; Variables complexes [math.CV]

Philippe Jaming. Phase retrieval for solutions of the Shrödinger and Helmholtz equations. SAMPTA2017, Jul 2017, Tallinn, Estonia. ⟨hal-01514078⟩