Fig. 6: Forming a multi-depth reflection matrix and volumetric dispersion correction.
From: Exploiting volumetric wave correlation for enhanced depth imaging in scattering medium
a Layout of volumetric sample. TiO2 particles are randomly dispersed in PDMS. Aberration medium is placed above sample. b, d, and f Coherence-gated reflection matrices \({\widetilde{E}}_{{{{{{\rm{cg}}}}}}}\left({{{{{\bf{k}}}}}}{{{{{\boldsymbol{,}}}}}}\,z{{{{{\boldsymbol{;}}}}}}\,{{{{{{\bf{k}}}}}}}_{{{{{{\rm{in}}}}}}}\right)\) of three representative depths. c, e, and g Object images obtained from respective reflection matrices in b, d, and f after dispersion correction for each depth. h Extended-depth coherence-gated reflection matrix, \({\widetilde{E}}_{{{{{{\rm{MD}}}}}}}\left({{{{{\bf{k;}}}}}}\,{{{{{{\bf{k}}}}}}}_{{{{{{\rm{in}}}}}}}\right)\), constructed by appending \({\widetilde{E}}_{{{{{{\rm{cg}}}}}}}\left({{{{{\bf{k}}}}}}{{{{{\boldsymbol{,}}}}}}\,z{{{{{\boldsymbol{;}}}}}}\,{{{{{{\bf{k}}}}}}}_{{{{{{\rm{in}}}}}}}\right)\) of eight adjacent depths. i–k Object images of each depth after dispersion correction with \({\widetilde{E}}_{{{{{{\rm{MD}}}}}}}\left({{{{{\bf{k;}}}}}}\,{{{{{{\bf{k}}}}}}}_{{{{{{\rm{in}}}}}}}\right)\). l, m Input and output spectro-angular dispersions obtained with \({\widetilde{E}}_{{{{{{\rm{MD}}}}}}}\left({{{{{\bf{k;}}}}}}\,{{{{{{\bf{k}}}}}}}_{{{{{{\rm{in}}}}}}}\right)\). Scale bar, 10 μm. Color bar, normalized intensity by the maximum intensity in each image (intensity images). Color bar in m: phase in radians for l, m.
