000214823 001__ 214823
000214823 005__ 20181203024109.0
000214823 0247_ $$2doi$$a10.1137/130926717
000214823 022__ $$a1936-4954
000214823 037__ $$aARTICLE
000214823 245__ $$aBackpropagation Imaging in Nonlinear Harmonic Holography in the Presence of Measurement and Medium Noises
000214823 260__ $$c2014
000214823 269__ $$a2014
000214823 336__ $$aJournal Articles
000214823 520__ $$aIn this paper, the detection of a small reflector in a randomly heterogeneous medium using secondharmonic generation is investigated. The medium is illuminated by a time-harmonic plane wave at frequency ω. It is assumed that the reflector has a nonzero second-order nonlinear susceptibility, and thus emits a wave at frequency 2ω in addition to the fundamental frequency linear scattering. It is shown how the fundamental frequency signal and the second-harmonic signal propagate in the medium. A statistical study of the images obtained by migrating the boundary data is performed. It is proved that the second-harmonic image is more stable with respect to medium noise than the one obtained with the fundamental signal. Moreover, the signal-to-noise ratio for the second-harmonic image does not depend either on the second-order susceptibility tensor or on the volume of the particle. © 2014 Society for Industrial and Applied Mathematics.
000214823 700__ $$aAmmari, Habib
000214823 700__ $$aGarnier, Josselin
000214823 700__ $$0249363$$aMillien, Pierre$$g254788
000214823 773__ $$j7$$k1$$q239-276$$tSIAM Journal on Imaging Sciences
000214823 8564_ $$s716010$$uhttps://infoscience.epfl.ch/record/214823/files/2ndharm.pdf$$yn/a$$zn/a
000214823 909C0 $$0252437$$pMATHAA$$xU10112
000214823 909CO $$ooai:infoscience.tind.io:214823$$particle$$qGLOBAL_SET
000214823 917Z8 $$x254788
000214823 917Z8 $$x148230
000214823 917Z8 $$x249835
000214823 937__ $$aEPFL-ARTICLE-214823
000214823 973__ $$aEPFL$$rNON-REVIEWED$$sPUBLISHED
000214823 980__ $$aARTICLE