The iterative algorithm of Feldman for heat flow in layered structures is solved in cylindrical coordinates for surface heating and temperature measurement by Gaussian-shaped laser beams. This solution for the frequency-domain temperature response is then used to model the lock-in amplifier signals acquired in time-domain thermoreflectance measurements of thermal properties.
REFERENCES
1.
D.A.
Young
, C.
Thomsen
, H.T.
Grahn
, H.J.
Maris
, and J.
Tauc
, in Phonon Scattering in Condensed Matter, edited by A. C.
Anderson
and J. P.
Wolfe
(Springer, Berlin, 1986
), p. 49
.2.
C. A.
Paddock
and G. L.
Eesley
, J. Appl. Phys.
60
, 285
(1986
).3.
W. S.
Capinski
and H. J.
Maris
, Rev. Sci. Instrum.
67
, 2720
(1996
).4.
B.
Bonello
, B.
Perrin
, and C.
Rossignol
, J. Appl. Phys.
83
, 3081
(1998
).5.
N.
Taketoshi
, T.
Baba
, E.
Schaub
, and A.
Ono
, Rev. Sci. Instrum.
74
, 5226
(2003
).6.
D. G.
Cahill
, K. E.
Goodson
, and A.
Majumdar
, J. Heat Transfer
124
, 223
(2002
).7.
D. G.
Cahill
, W. K.
Ford
, K. E.
Goodson
, G. D.
Mahan
, A.
Majumdar
, H. J.
Maris
, R.
Merlin
, and S. R.
Phillpot
, J. Appl. Phys.
93
, 793
(2003
).8.
R. M.
Costescu
, M. A.
Wall
, and D. G.
Cahill
, Phys. Rev. B
67
, 054302
(2003
).9.
R. M.
Costescu
, D. G.
Cahill
, F. H.
Fabreguette
, Z. A.
Sechrist
, and S. M.
George
, Science
303
, 989
(2004
).10.
S.
Huxtable
, D. G.
Cahill
, and L. M.
Phinney
, J. Appl. Phys.
95
, 2102
(2004
).11.
S.
Huxtable
, D. G.
Cahill
, V.
Fauconnier
, J. O.
White
, and J.-C.
Zhao
, Nat. Mater.
3
, 298
(2004
).12.
H.S.
Carslaw
and J.C.
Jaeger
, Conduction of Heat in Solids (Oxford University Press, New York, 1959
), p. 263
.13.
R.N.
Bracewell
, The Fourier Transform and its Applications (McGraw–Hill, New York, 2000
), Chap. 13, pp. 335
–339
.14.
Y.
Ohsone
, G.
Wu
, J.
Dryden
, F.
Zok
, and A.
Majumdar
, J. Heat Transfer
121
, 954
(1999
).15.
16.
J. H.
Kim
, A.
Feldman
, and D.
Novotny
, J. Appl. Phys.
86
, 3959
(1999
).17.
K. E.
O’Hara
, X.-Y.
Hu
, and D. G.
Cahill
, J. Appl. Phys.
90
, 4852
(2001
).
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