Experimental photoacoustic (PA) magnitude spectra of a coated paper and the
uncoated basepaper are presented. The normalized and scaled PA magnitude s
pectra are used to calculate difference magnitude spectra. It was decided t
o scale all PA magnitude spectra to (low) equal intensity at the approximat
ely optically thin spectral range before subtraction. Then no infrared (IR)
bands of identical band shape and height (as needed for common difference
spectroscopy) in either PA magnitude spectrum are needed. Contributions of
the two individual layers to the IR-PA magnitude spectrum of the coated pap
er are separated in the difference spectrum hy their sign. An increasing re
lative contribution of the coating layer with an increasing phase modulatio
n frequency is found. On decreasing the thermal length to a value near the
coating thickness, the difference spectra increasingly show positive coatin
g bands and negative bulk signals. The extension of the Rosencwaig-Gersho t
heory to a double-layered system introduced by N. C. Fernelius [J. Opt. Sec
. Am. 70, 480 (1980) and J. Appl. Phys. 50, 650 (1980)] applied to syntheti
c spectra confirms the experimental observation. It is found that photoacou
stic difference spectroscopy may provide quantitative depth-resolved spectr
al information due to the presented scaling procedure, and photoacoustic di
fference magnitude spectra of any polymeric laminate may therefore be calcu
lated.