Radiative energy transfer between closely spaced bodies is known to be significantly larger than that predicted by classical radiative transfer because of tunneling due to evanescent waves. Polar materials like silicon carbide and silica can support surface phonon polaritons due to resonances in the dielectric function of such materials. This leads to an enhanced density of states of electromagnetic surface modes near the surface compared to vacuum and leads to a pronounced increase in energy transfer near the resonance region. Experimental measurements between half-planes of polar materials can be very challenging because of the difficulty in measuring the gap as well as the parallelism between the surfaces. Theoretical investigation of near-field energy transfer on the other hand, is generally restricted to that between two parallel half-planes because of the complications involved in analyzing other configurations such as sphere-sphere or sphere-plane. Sphere-sphere or sphere-plane configurations beyond the dipole approximation have not been attempted. In this work, we analyze numerically the radiative energy transfer between two adjacent non-overlapping spheres.

1.
Cravalho
E. G.
,
Tien
C. L.
, and
Caren
R. P.
,
1967
. “
Effect of small spacings on radiative transfer between two dielectrics
”.
J. Heat Trans.
,
89
(
4)
, pp.
351
358
.
2.
Polder
D.
, and
Van Hove
M.
,
1971
. “
Theory of radiative heat transfer between closely spaced bodies
”.
Phys. Rev. B
,
4
(
10)
, Nov, pp.
3303
3314
.
3.
Shchegrov
A. V.
,
Joulain
K.
,
Carminati
R.
, and
Greffet
J.-J.
,
2000
. “
Near-field spectral effects due to electromagnetic surface excitations
”.
Phys. Rev. Lett.
,
85
(
7)
, pp.
1548
1551
.
4.
Carminati
R.
, and
Greffet
J.-J.
,
1999
. “
Near-field effects in spatial coherence of thermal sources
”.
Phys. Rev. Lett.
,
82
, p.
1660
1660
.
5.
Narayanaswamy
A.
, and
Chen
G.
,
2003
. “
Surface modes for near field thermophotovoltaics
”.
Appl. Phys. Lett.
,
82
(
20)
, pp.
3544
3546
.
6.
Hargreaves
C.
,
1969
/12/29. “
Anomalous radiative transfer between closely-spaced bodies
”.
Phys. Lett. A (Netherlands)
,
30a
(
9)
, pp.
491
2
.
7.
Hargreaves
C.
,
1973
. “
Radiative transfer between closely spaced bodies
”.
Philips Research Reports and Supplement
,
5
, pp.
1
80
.
8.
Kittel
A.
,
Muller-Hirsch
W.
,
Parisi
J.
,
Biehs
S.-A.
,
Reddig
D.
, and
Holthaus
M.
,
2005
. “
Near-field heat transfer in a scanning thermal microscope
”.
Phys. Rev. Lett.
,
95
(
22)
, p.
224301
224301
.
9.
Lamoreaux
S. K.
,
1997
. “
Demonstration of the casimir force in the 0.6 to 6μm range
”.
Phys. Rev. Lett.
,
78
(
1)
, Jan, pp.
5
8
.
10.
Mohideen
U.
, and
Roy
A.
,
1998
. “
A precision measurement of the casimir force between 0.1 to 0.9μm
”.
Phys. Rev. Lett.
,
81
, pp.
4549
4552
.
11.
Bruning, J., and Lo, Y., 1969. Multiple scattering by spheres. Tech. Rep. Antenna Laboratory Report No. 69-5, University of Illinois, Urbana, Illinois.
12.
Bruning
J.
, and
Lo
Y.
,
1971
. “
Multiple scattering of EM waves by spheres, part
”.
IEEE Trans. Antennas Propag.
,
AP-19
(
3)
, pp.
378
390
.
13.
Bruning
J. H.
, and
Lo
Y. T.
,
1971
. “
Multiple scattering of EM waves by spheres, part II - numerical and experimental results
”.
IEEE Trans. Antennas Propag.
,
AP-19
(
3)
, pp.
391
400
.
14.
Friedman
B.
, and
Russek
J.
,
1954
. “
Addition theorems for spherical waves
”.
Q. of Appl. Math.
,
12
, pp.
13
23
.
15.
Stein
S.
,
1961
. “
Addition theorems for spherical wave functions
”.
Q. of Appl. Math.
,
19
(
1)
, pp.
15
24
.
16.
Cruzan
O.
,
1962
. “
Translational addition theorems for spherical vector wave functions
”.
Q. of Appl. Math.
,
20
(
1)
, pp.
33
40
.
17.
Chew
W. C.
,
1992
. “
Recurrence relations for threedimensional scalar addition theorem
”.
J. of Electromagnet. Wave
,
6
(
2)
, pp.
133
142
.
18.
Chew
W. C.
,
1993
. “
Efficient ways to compute the vector addition theorem
”.
J. of Electromagnet. Wave
,
7
(
5)
, pp.
651
665
.
19.
Rytov, S. M., 1959. Theory of Electric Fluctuations and Thermal Radiation. Air Force Cambridge Research Center, Bedford, MA.
20.
Rytov, S. M., Kravtsov, Y. A., and Tatarski, V. I., 1987. Principles of Statistical Radiophysics, Vol. 3. Springer-Verlag.
21.
Tsang, L., Kong, J. A., and Ding, K. H., 2000. Scattering of Electromagnetic Waves. Wiley.
22.
Chew, W. C., 1995. Waves and Fields in Inhomogeneous Media. IEEE Press, Piscataway, NJ.
23.
Landau, L. D., and Lifshitz, E. M., 1969. Statistical Physics. Addison–Wesley.
24.
Kim, K. T., 2004. Symmetry Relations of the Translation Coefficients of the Spherical Scalar and Vector Multipole Fields, Vol. 48 of Progress In Electromagnetic Research. EMW Publishing, ch. 3, pp. 45–66.
25.
Gumerov
N. A.
, and
Duraiswami
R.
,
2002
. “
Computation of scattering from n spheres using multipole reexpansion
”.
J. Acoust. Soc. Am.
,
112
(
6)
, pp.
2688
2701
.
26.
Palik, E., 1985. Handbook of Optical Constants of Solids,. Academic Press.
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