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Journal articles
Backpropagation imaging in nonlinear harmonic holography in the presence of measurement and medium noises
Abstract : In this paper, the detection of a small reflector in a randomly heterogeneous medium using secondharmonic
generation is investigated. The medium is illuminated by a time-harmonic plane wave at
frequency ω. It is assumed that the reflector has a nonzero second-order nonlinear susceptibility,
and thus emits a wave at frequency 2ω in addition to the fundamental frequency linear scattering.
It is shown how the fundamental frequency signal and the second-harmonic signal propagate in the
medium. A statistical study of the images obtained by migrating the boundary data is performed. It
is proved that the second-harmonic image is more stable with respect to medium noise than the one
obtained with the fundamental signal. Moreover, the signal-to-noise ratio for the second-harmonic
image does not depend either on the second-order susceptibility tensor or on the volume of the
particle.
Keywords :
waves in random media
imaging in complex media
https://hal.archives-ouvertes.fr/hal-01017778
Contributor : Serena Benassù <>
Submitted on : Thursday, July 3, 2014 - 10:40:14 AM
Last modification on : Tuesday, August 4, 2020 - 3:46:54 AM
Contributor : Serena Benassù <>
Submitted on : Thursday, July 3, 2014 - 10:40:14 AM
Last modification on : Tuesday, August 4, 2020 - 3:46:54 AM
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