Abstract
The Kubelka-Munk theory is applied to the thickness-dependent diffuse reflectance of black-painted samples in the mid-IR. The calculated absorption and scattering coefficients are wavenumber-dependent. The reflectance of the nonideal backing also shows spectral features, which is attributed to the reflections from the boundary surface between the scattering medium and the substrate. The spectral dependence of scattering penetration depth is caused by the scattering and absorption processes. At some wavenumbers, the diffuse reflectance is independent of layer thickness, because of particular values of the parameters of the applied theory. The application of the Kubelka-Munk function is discussed.
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References
1.
Kortüm
G.
, Reflectance Spectroscopy (Springer-Verlag , Berlin/Heidelberg/New York , 1969 ).
2.
Heavens
O. S.
, Optical Properties of Thin Solid Films (Butterworth , London , 1955 ), Chap. 4.
3.
Gunde
Klanjšek M.
and
Aleksandrov
B.
, Appl. Opt. 30 , 3186 (1991 ).
4.
Vincent
R. K.
and
Hunt
G. R.
, Appl. Opt. 7 , 53 (1968 ).
5.
Yang
P. W.
and
Mantsch
H. H.
, Appl. Opt. 26 , 326 (1987 ).
6.
Brimmer
P. J.
and
Griffiths
P. R
, and
Harrick
N. J.
, Appl. Spectrosc. 40 , 258 (1986 ).
7.
Brimmer
P. J.
and
Griffiths
P. R.
, Appl. Spectrosc. 41 , 791 (1987 ).
8.
Brimmer
P. J.
and
Griffiths
P. R.
, Appl. Spectrosc. 42 , 242 (1988 ).
9.
Boroumand
F.
and
Moser
J. E
, and
van den Bergh
H.
, Appl. Spectrosc. 46 , 1874 (1992 ).
10.
Fuller
M. P.
and
Griffiths
P. R.
, Anal. Chem. 50 , 1906 (1978 ).
11.
White
R. L.
and
Nair
A.
, Appl. Spectrosc. 44 , 69 (1990 ).
12.
Brackett
J. M.
Azarraga
L. V.
and
Castles
M. A
, and
Rogers
L. B.
, Anal. Chem. 56 , 2007 (1984 ).
13.
Tsuge
A.
Uwamino
Y.
and
Ishizuka
T
, and
Suzuki
K.
, Appl. Spectrosc. 45 , 1377 (1991 ).
14.
Holmgren
A.
and
Norden
B.
, Appl. Spectrosc. 42 , 255 (1988 ).
15.
Hembree
D. H.
Jr.
, and
Smyrl
H. R.
, Appl. Spectrosc. 43 , 267 (1989 ).
16.
Messerschmidt
R. G.
, Appl. Spectrosc. 39 , 737 (1985 ).
17.
Korte
E. H.
and
Otto
A.
, Appl. Spectrosc. 42 , 38 (1988 ).
18.
Melamed
N. T.
, J. Appl. Phys. 34 , 560 (1963 ).
19.
Mandelis
A.
and
Boroumand
F
, and
van den Bergh
H.
, Appl. Opt. 29 , 2853 (1990 ).
20.
Mandelis
A.
and
Boroumand
F
, and
van den Bergh
H.
, Spectrochim. Acta 47A , 943 (1991 ).
21.
Kubelka
P.
, J. Opt. Soc. Am. 38 , 448 (1948 ).
22.
Fraser
D. J. J.
and
Griffiths
P. R.
, Appl. Spectrosc. 44 , 193 (1990 ).
23.
Orel
B.
and
Orel
Crnjak Z
, and
Radoczy
I.
, Sol. Energ. Mater. 18 , 97 (1989 ).
24.
Orel
Crnjak Z.
Jerman
R.
and
Hodošček
M
, and
Orel
B.
, Sol. Energ. Mater. 20 , 435 (1990 ).
25.
Orel
B.
Orel
Crnjak Z.
and
Krainer
A
, and
Hutchins
M. G.
, Sol. Energ. Mater. 22 , 259 (1991 ).
26.
Eickhoff
T.
and
Grosse
P
, and
Theiss
W.
, Vib. Spectrosc. 1 , 229 (1990 ).
27.
Maheu
B.
and
Letoulouzan
J. N
, and
Gouesbet
G.
, Appl. Opt. 23 , 3353 (1984 ).
28.
Mudgett
P. S.
and
Richards
L. W.
, Appl. Opt. 10 , 1485 (1971 ).
29.
Maheu
B.
and
Letoulouzan
J. N
, and
Gouesbet
G.
, Appl. Opt. 23 , 3353 (1984 ), Case 2, Eq. 71.
30.
Bennett
H. E.
and
Porteus
J. O.
, J. Opt. Soc. Am. 51 , 123 (1961 ).
31.
Parfitt
G. D.
, Dispersion of Powders in Liquids (Elsevier , Amsterdam , 1969 ), p. 312 .
32.
Patton
T. C.
, Paint and Paint Dispersions (Wiley–Interscience , New York , 1974 ), p. 213 .
33.
Griffiths
P. R.
and
de Haseth
J. A.
, Fourier Transform Infrared Spectrometry (John Wiley and Sons , New York , 1986 ), p. 549 .