Pump–probe signals arising from melanin (excluding surgical ink and hemoglobin) from the entire sample set were first processed with PCA to derive the top PCs. As the inset of
Figure 1b shows, the top 3 PCs correspond to >97% of the variance, which then were used to construct a visual representation of the pump–probe signals (
Fig. 1c) based on the angles of the PCs spherical coordinate system, as described above. As
Figure 1c shows, the two-dimensional (2D) histogram of the entire data set reveals two major components (also known as endmembers),
16,23 with all other signals comprising a linear combination of these two components. One endmember is located at an azimuth angle of
θ = 0 rad (i.e., a positive contribution from PC1), which signifies a loss of nonlinear interaction (e.g., excited state absorption). These types of signals have been observed in melanins with large aggregates and those void of metals.
18 The other endmember lies at approximately
θ = 2.25 rad (negative contribution from PC1, and a positive contribution from PC2) and indicates a gain in the probe from interactions, like ground-state bleaching. These signals have been observed in melanins with high levels of metal content, small aggregates, and synthetic pheomelanin.
18,25 Thus, the pump–probe signals, and hence the mapping of the signals onto this principal component space, gives an indication of melanin biochemical composition (albeit not uniquely). A more detailed analysis on how the pump–probe signals differ based on chemical composition has been reported previously.
18,25 The mapping of each spatial pixel's molecular signature on the
θ-axis also defines the color assignment in the pump–probe images – the color map is illustrated in
Figure 1c (horizontal color map).