PMMA on PS on PP. An important advantage of using PA signal phase in depth profiling is the enhancement of spatial resolution (as high as on the sub-micron level, beating the IR diffraction limit) within a given probing depth defined by the modulation frequency and material properties. Figure 3.13 illustrates the PA magnitude (top) and phase spectrum (bottom) of a three-layer sample: 0.5μm ploy(methyl methacrylate) (PMMA), on 0.5μm polystyrene (PS), on 2mm polypropylene (PP), collected at a ΦM frequency of 200Hz and amplitude of 3.5λHe-Ne. The phase spectrum, as shown in Figure 3.13, clearly distinguishes characteristic bands from different layers by phase angle. The relative phase lags of 0.1°, 3° and 18° correspond to distinctive bands of PMMA (1727cm-1, C=O stretch), PS(748cm-1, aromatic C-H deformation), respectively. In addition, the top two layers agree with the phase difference model for thermal thin or optically transparent layers, as shown by Equation (3-6). Thus the thickness of the PMMA layer, dPMMA, can then be also determined by the phase difference model: