TY - JOUR
T1 - Multifrequency interferometric imaging with intensity-only measurements
AU - Moscoso, Miguel
AU - Novikov, Alexei
AU - Papanicolaou, George
AU - Tsogka, Chrysoula
N1 - Funding Information:
∗Received by the editors November 30, 2016; accepted for publication (in revised form) February 15, 2017; published electronically July 26, 2017. http://www.siam.org/journals/siims/10-3/M110595.html Funding: The work of the authors was partially supported by AFOSR FA9550-14-1-0275. The work of the first author was supported by the Spanish MICINN grants FIS2013-41802-R and FIS2016-77892-R. The work of the second author was partially supported by NSF DMS-1515187. †Department of Mathematics, Universidad Carlos III de Madrid, Leganes, Madrid 28911, Spain ([email protected]). ‡Mathematics Department, Penn State University, University Park, PA 16802 ([email protected]). §Department of Mathematics, Stanford University, Stanford, CA 94305 ([email protected]). ¶Mathematics and Applied Mathematics, University of Greece, Hesaklian 71409, Greece ([email protected]).
Publisher Copyright:
© 2017 Society for Industrial and Applied Mathematics.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
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U2 - 10.1137/16M1105955
DO - 10.1137/16M1105955
M3 - Article
AN - SCOPUS:85032926434
SN - 1936-4954
VL - 10
SP - 1005
EP - 1032
JO - SIAM Journal on Imaging Sciences
JF - SIAM Journal on Imaging Sciences
IS - 3
ER -