Sparsity-based super-resolution and phase-retrieval in waveguide arrays

Yoav Shechtman, Eran Small, Yoav Lahini, Mor Verbin, Yonina C. Eldar, Yaron Silberberg, Mordechai Segev

Research output: Contribution to journalArticlepeer-review

Abstract

We present a scheme for recovering the complex input field launched into a waveguide array, from partial measurements of its output intensity, given advance knowledge that the input is sparse. In spite of the fact that in general the inversion problem is ill-conditioned, we demonstrate experimentally and in simulations that the prior knowledge of sparsity helps overcome the loss of information. Our method is based on GESPAR, a recently proposed efficient phase retrieval algorithm. Possible applications include optical interconnects and quantum state tomography, and the ideas are extendable to other multiple input and multiple output (MIMO) communication schemes.

Original languageEnglish
Pages (from-to)24015-24024
Number of pages10
JournalOptics Express
Volume21
Issue number20
DOIs
StatePublished - 7 Oct 2013
Externally publishedYes

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