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Second-harmonic imaging in random media. (English) Zbl 1378.78015

The authors study the problem of optical imaging of small nonlinear scatterers in random media. They propose a new form of coherent mesoscopic imaging where interferometric measurements are used to localize small scatterers that emit second-harmonic light. As a main conclusion, they observe that images obtained by coherent interferometric imaging are more robust to statistical fluctuations in the background medium than those of migration imaging.

MSC:

78A45 Diffraction, scattering
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
62H15 Hypothesis testing in multivariate analysis
78A05 Geometric optics
78A40 Waves and radiation in optics and electromagnetic theory
78A48 Composite media; random media in optics and electromagnetic theory
92C55 Biomedical imaging and signal processing