Multifrequency interferometric imaging with intensity-only measurements

Miguel Moscoso, Alexei Novikov, George Papanicolaou, Chrysoula Tsogka

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We propose an illumination strategy for interferometric imaging that allows for robust depth recovery from intensity-only measurements. For an array with colocated sources and receivers, we show that all the possible interferometric data for multiple sources, receivers, and frequencies can be recovered from intensity-only measurements provided that we have sufficient source location and frequency illumination diversity. There is no need for phase reconstruction in this approach. Using interferometric imaging methods we show that in homogeneous media there is no loss of resolution when imaging with intensities only. If in these imaging methods we reduce incoherence by restricting the multifrequency interferometric data to nearby array elements and nearby frequencies we obtain robust images in weakly inhomogeneous background media with a somewhat reduced resolution.

Original languageEnglish (US)
Pages (from-to)1005-1032
Number of pages28
JournalSIAM Journal on Imaging Sciences
Volume10
Issue number3
DOIs
StatePublished - 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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