We investigate the near-field (NF) radiative heat transfer of the three-body system consisting of anisotropic magnetodielectric hyperbolic metamaterials (AMDHMs), which can support coupled surface phonon polaritons (SPhPs) and hyperbolic modes for both p and s polarizations. We numerically demonstrate that the NF heat transfer between two AMDHMs bodies can be further enhanced by inserting an AMDHMs slab. Due to the loss in AMDHMs, there exists an optimum thickness of the intermediate slab to maximize the NF heat flux flowing to the receiver for a fixed gap distance. Results obtained from this work will facilitate investigations of the NF heat transfer involving magnetic hyperbolic metamaterials.

References

References
1.
Polder
,
D.
, and
Van Hove
,
M.
,
1971
, “
Theory of Radiative Heat Transfer Between Closely Spaced Bodies
,”
Phys. Rev. B
,
4
(
10
), p.
3303
.
2.
Volokitin
,
A. I.
, and
Persson
,
B. N. J.
,
2007
, “
Near-Field Radiative Heat Transfer and Noncontact Friction
,”
Rev. Mod. Phys.
,
79
(
4
), pp.
1291
1329
.
3.
Shen
,
S.
,
Narayanaswamy
,
A.
, and
Chen
,
G.
,
2009
, “
Surface Phonon Polaritons Mediated Energy Transfer Between Nanoscale Gaps
,”
Nano Lett.
,
9
(
8
), pp.
2909
2913
.
4.
Basu
,
S.
,
Yang
,
Y.
, and
Wang
,
L.
,
2015
, “
Near-Field Radiative Heat Transfer Between Metamaterials Coated With Silicon Carbide Thin Films
,”
Appl. Phys. Lett.
,
106
(
3
), p.
033106
.
5.
Francoeur
,
M.
,
Menguc
,
M. P.
, and
Vaillon
,
R.
,
2008
, “
Near-Field Radiative Heat Transfer Enhancement Via Surface Phonon Polaritons Coupling in Thin Films
,”
Appl. Phys. Lett.
,
93
(
4
), p.
043109
.
6.
Song
,
J.
,
Wu
,
H.
,
Cheng
,
Q.
, and
Zhao
,
J.
,
2015
, “
1D Trilayer Films Grating With W/SiO2/W Structure as a Wavelength-Selective Emitter for Thermophotovoltaic Applications
,”
J. Quant. Spectrosc. Radiat. Transfer
,
158
, pp.
136
144
.
7.
Song
,
J.
,
Si
,
M.
,
Cheng
,
Q.
, and
Luo
,
Z.
,
2016
, “
Two-Dimensional Trilayer Grating With a Metal/Insulator/Metal Structure as a Thermophotovoltaic Emitter
,”
Appl. Opt.
,
55
(
6
), pp.
1284
1290
.
8.
Poddubny
,
A.
,
Iorsh
,
I.
,
Belov
,
P.
, and
Kivshar
,
Y.
,
2013
, “
Hyperbolic Metamaterials
,”
Nat. Photonics
,
7
(
12
), pp.
948
957
.
9.
Cortes
,
C. L.
,
Newman
,
W.
,
Molesky
,
S.
, and
Jacob
,
Z.
,
2012
, “
Quantum Nanophotonics Using Hyperbolic Metamaterials
,”
J. Opt.
,
14
(
6
), p.
063001
.
10.
Mosallaei
,
H.
, and
Sarabandi
,
K.
,
2004
, “
Magneto-Dielectrics in Electromagnetics: Concept and Applications
,”
IEEE Trans. Antennas Propag.
,
52
(
6
), pp.
1558
1567
.
11.
Wu
,
H.
,
Huang
,
Y.
, and
Zhu
,
K.
,
2015
, “
Near-Field Radiative Transfer Between Magneto-Dielectric Uniaxial Anisotropic Media
,”
Opt. Lett.
,
40
(
19
), pp.
4532
4535
.
12.
Song
,
J.
, and
Cheng
,
Q.
,
2016
, “
Near-Field Radiative Heat Transfer Between Graphene and Anisotropic Magneto-Dielectric Hyperbolic Metamaterials
,”
Phys. Rev. B
,
94
(
12
), p.
125419
.
13.
Jacob
,
Z.
,
2014
, “
Nanophotonics: Hyperbolic Phonon-Polaritons
,”
Nat. Mater.
,
13
(
12
), pp.
1081
1083
.
14.
Messina
,
R.
,
Antezza
,
M.
, and
Ben-Abdallah
,
P.
,
2012
, “
Three-Body Amplification of Photon Heat Tunneling
,”
Phys. Rev. Lett.
,
109
(
24
), p.
244302
.
15.
Ben-Abdallah
,
P.
, and
Biehs
,
S.-A.
,
2014
, “
Near-Field Thermal Transistor
,”
Phys. Rev. Lett.
,
112
(
4
), p.
044301
.
16.
Messina
,
R.
,
Ben-Abdallah
,
P.
,
Guizal
,
B.
,
Antezza
,
M.
, and
Biehs
,
S.-A.
,
2016
, “
Hyperbolic Waveguide for Long-Distance Transport of Near-Field Heat Flux
,”
Phys. Rev. B
,
94
(
10
), p.
104301
.
17.
Ben-Abdallah
,
P.
,
Joulain
,
K.
,
Drevillon
,
J.
, and
Domingues
,
G.
,
2009
, “
Tailoring the Local Density of States of Nonradiative Field at the Surface of Nanolayered Materials
,”
Appl. Phys. Lett.
,
94
(
15
), p.
153117
.
18.
Francoeur
,
M.
,
Mengüç
,
M. P.
, and
Vaillon
,
R.
,
2011
, “
Coexistence of Multiple Regimes for Near-Field Thermal Radiation Between Two Layers Supporting Surface Phonon Polaritons in the Infrared
,”
Phys. Rev. B
,
84
(
7
), p.
075436
.
19.
Basu
,
S.
, and
Francoeur
,
M.
,
2011
, “
Maximum Near-Field Radiative Heat Transfer Between Thin Films
,”
Appl. Phys. Lett.
,
98
(
24
), p.
243120
.
20.
Kruk
,
S. S.
,
Wong
,
Z. J.
,
Pshenay-Severin
,
E.
,
O'brien
,
K.
,
Neshev
,
D. N.
,
Kivshar
,
Y. S.
, and
Zhang
,
X.
,
2016
, “
Magnetic Hyperbolic Optical Metamaterials
,”
Nat. Commun.
,
7
, p. 11329.
21.
Wu
,
Y.
,
Li
,
J.
,
Zhang
,
Z.-Q.
, and
Chan
,
C. T.
,
2006
, “
Effective Medium Theory for Magnetodielectric Composites: Beyond the Long-Wavelength Limit
,”
Phys. Rev. B
,
74
(
8
), p.
085111
.
22.
Le Gall
,
J.
,
Olivier
,
M.
, and
Greffet
,
J.-J.
,
1997
, “
Experimental and Theoretical Study of Reflection and Coherent Thermal Emissionby a Sic Grating Supporting a Surface-Phonon Polariton
,”
Phys. Rev. B
,
55
(
15
), pp.
10105
10114
.
23.
Pendry
,
J. B.
,
Holden
,
A. J.
,
Robbins
,
D.
, and
Stewart
,
W.
,
1999
, “
Magnetism From Conductors and Enhanced Nonlinear Phenomena
,”
IEEE Trans. Microwave Theory Tech.
,
47
(
11
), pp.
2075
2084
.
24.
Messina
,
R.
, and
Antezza
,
M.
,
2014
, “
Three-Body Radiative Heat Transfer and Casimir-Lifshitz Force Out of Thermal Equilibrium for Arbitrary Bodies
,”
Phys. Rev. A
,
89
(
5
), p.
052104
.
25.
Yeh
,
P.
,
2005
,
Optical Waves in Layered Media
,
Wiley-Interscience
, New York.
26.
Hu
,
L.
, and
Chui
,
S. T.
,
2002
, “
Characteristics of Electromagnetic Wave Propagation in Uniaxially Anisotropic Left-Handed Materials
,”
Phys. Rev. B
,
66
(
8
), p.
085108
.
27.
Joulain
,
K.
,
Mulet
,
J.-P.
,
Marquier
,
F.
,
Carminati
,
R.
, and
Greffet
,
J.-J.
,
2005
, “
Surface Electromagnetic Waves Thermally Excited: Radiative Heat Transfer, Coherence Properties and Casimir Forces Revisited in the Near Field
,”
Surf. Sci. Rep.
,
57
(
3–4
), pp.
59
112
.
28.
Guo
,
Y.
, and
Jacob
,
Z.
,
2013
, “
Thermal Hyperbolic Metamaterials
,”
Opt. Express
,
21
(
12
), pp.
15014
15019
.
29.
Planck
,
M.
,
1912
,
The Theory of Heat Radiation
,
Dover Publication
, Mineola, NY.
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