RT Journal Article
T1 Three-dimensional imaging from single-element holographic data
A1 Moscoso, Miguel
A1 Novikov, Alexei
A1 Papanicolaou, George
A1 Tsogka, Chrysoula
AB We present a holographic imaging approach for the case in which a single source-detector pair is used to scan a sample. The source-detector pair collects intensity-only data at different frequencies and positions. By using an appropriate illumination strategy, we recover field cross correlations over different frequencies for each scan location. The problem is that these field cross correlations are asynchronized, so they have to be aligned first in order to image coherently. This is the main result of the paper: a simple algorithm to synchronize field cross correlations at different locations. Thus, one can recover full field data up to a global phase that is common to all scan locations. The recovered data are, then, coherent over space and frequency so they can be used to form high-resolution three-dimensional images. Imaging with intensity-only data is therefore as good as coherent imaging with full data. In addition, we use an ℓ1-norm minimization algorithm that promotes the low dimensional structure of the images, allowing for deep high-resolution imaging.
PB Optical Society of America (OSA)
SN 1084-7529
YR 2021
FD 2021-02-01
LK https://hdl.handle.net/10016/32511
UL https://hdl.handle.net/10016/32511
LA eng
NO The work of MM was partially supported by spanish grant MICINN FIS2016-77892-R. The work of AN was partially supported by NSF DMS-1813943 and AFOSR FA9550-20-1-0026. The work of G. Papanicolaou was partially supported by AFOSR FA9550-18-1-0519. The work of C. Tsogka was partially supported by AFOSR FA9550-17-1-0238 and FA9550-18-1-0519.
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RD 26 jun. 2024