Thermal emission of a doped silicon grating has been studied in the plane perpendicular to the grooves. We show how the excitation of surface plasmons produce a resonant emission weakly depending on the polarization and azimuthal angle. We analyze in detail the polarization and angular dependence of the emission out of the plane perpendicular to the grooves. Two kinds of thermal sources, directional and quasi-isotropic, are studied. They have been designed in a previous paper. We also compute the total hemispherical emissivity of these gratings. In addition we show that in applications such as radiative cooling, these sources are less efficient than other structures.
Issue Section:
Technical Papers
1.
Wood
, R. W.
, 1902, “On a Remarkable Case of Uneven Distribution of Light in a Diffraction Grating Spectrum
,” Philos. Mag.
0031-8086, 4
, pp. 396
–402
.2.
Maystre
, D.
, and Hutley
, M. C.
, 1976, “The Total Absorption of Light by a Diffraction Grating
,” Opt. Commun.
0030-4018, 19
, pp. 431
–436
.3.
Petit
, R.
, 1980, Electromagnetic theory of gratings
, Springer Verlag
, Berlin
.4.
Greffet
, J. J.
, Carminati
, R.
, Joulain
, K.
, Mulet
, J. P.
, Mainguy
, S.
, and Chen
, Y.
, 2002, “Coherent Thermal Emission of Light by Thermal Sources
,” Nature (London)
0028-0836, 416
, pp. 61
–64
.5.
Marquier
, F.
, Joulain
, K.
, Mulet
, J. P.
, Carminati
, R.
, Greffet
, J. J.
, and Chen
, Y.
, 2004, Phys. Rev. B
0163-1829 69
, p. 155412
.6.
Marquier
, F.
, Joulain
, K.
, Mulet
, J. P.
, Carminati
, R.
, and Greffet
, J. J.
, 2004, “Engineering Infrared Emission Properties of Silicon in the Near Field and the Far Field
,” Opt. Commun.
0030-4018, 237
, pp. 379
–388
.7.
Kreiter
, M.
, Oster
, J.
, Sambles
, R.
, Herminghaus
, S.
, Mittler-Neher
, S.
, and Knoll
, W.
, 1999, “Thermally Induced Emission of Light From a Metallic Diffraction Grating, Mediated by Surface Plasmons
,” Opt. Commun.
0030-4018, 200
, pp. 1
–4
.8.
Laroche
, M.
, Arnold
, C.
, Marquier
, F.
, Carminati
, R.
, Greffet
, J. J.
, Collin
, S.
, Bardou
, N.
, and Pelouard
, J. L.
, 2005, “Highly Directional Radiation Generated by Tungsten Thermal Source
,” Opt. Lett.
0146-9592, 30
, pp. 2623
–2625
.9.
Hesketh
, P. J.
, Zemel
, J. N.
, and Gebhart
, B.
, 1986, “Organ Pipe Radiant Modes of Periodic Micromachined Silicon Surfaces
,” Nature (London)
0028-0836, 324
, pp. 549
–551
.10.
Hesketh
, P. J.
, Zemel
, J. N.
, and Gebhart
, B.
, 1988, “Polarized Spectral Emittance From Periodic Micromachined Surfaces. I. Doped Silicon: The Normal Direction
,” Phys. Rev. B
0163-1829, 37
, pp. 10795
–10802
.11.
Hesketh
, P. J.
, Zemel
, J. N.
, and Gebhart
, B.
, 1988, “Polarized Spectral Emittance From Periodic Micromachined Surfaces. II. Doped Silicon: Angular Variation
,” Phys. Rev. B
0163-1829, 37
, pp. 10803
–10813
.12.
Hava
, S.
, Auslender
, M.
, Lacquet
, B. M.
, Coetzer
, P. J.
, and Swart
, P. L.
, 1995, “IR Transmission and Reflection Study of Lamellar Silicon Grating-Wafer Structures
,” Infrared Phys. Technol.
1350-4495, 36
, pp. 639
–647
.13.
Auslender
, M.
, and Hava
, S.
, 1995, “Zero Infrared Reflectance Anomaly in Doped Silicon Lamellar Gratings. I. From Antireflection to Total Absorption
,” Infrared Phys. Technol.
1350-4495, 36
, pp. 1077
–1088
.14.
Chateau
, N.
, and Hugonin
, J. P.
, 1994, “Algorithm for the Rigorous Coupled-Wave Analysis of Grating Diffraction
,” J. Opt. Soc. Am. A
0740-3232, 11
, pp. 1321
–1331
.15.
Laroche
, M.
, Marquier
, F.
, Carminati
, R.
, and Greffet
, J. J.
, 2005, “Tailoring Silicon Radiative Properties
,” Opt. Commun.
0030-4018, 250
, pp. 316
–320
.16.
Sai
, H.
, Yugami
, H.
, Akiyama
, Y.
, Kanamori
, Y.
, and Hane
, K.
, 2001, “Spectral Control of Thermal Emission by Periodic Microstructured Surfaces in the Near-Infrared Region
,” J. Opt. Soc. Am. A
0740-3232, 18
, pp. 1471
–1476
.17.
Maruyama
, S.
, Kashiwa
, T.
, Yugami
, H.
, and Esachi
, M.
, 2001, “Thermal Radiation From Two-Dimensionally Confined Modes in Microcavities
,” Appl. Phys. Lett.
0003-6951, 79
, pp. 1393
–1395
.18.
Pralle
, M. U.
, Moelders
, N.
, McNeal
, M. P.
, Puscasu
, I.
, Greenwald
, A. C.
, Daly
, J. T.
, Johnson
, E. A.
, George
, T.
, Choi
, D. S.
, El-Kady
, I.
, and Biswas
, R.
, 2002, “Photonic Crystal Enhanced Narrow-Band Infrared Emitters
,” Appl. Phys. Lett.
0003-6951, 81
, pp. 4685
–4687
.19.
Kusunoki
, F.
, Kohama
, T.
, Hiroshima
, T.
, Fukumoto
, S.
, Takahara
, J.
, and Kobayashi
, T.
, 2004, “Narrow-Band Thermal Radiation With Low Directivity by Resonant Modes Inside Tungsten Microcavities
,” Jpn. J. Appl. Phys., Part 1
0021-4922, 43
, pp. 5253
–5258
.20.
Enoch
, S.
, Simon
, J. J.
, Ascoubas
, L.
, Elamy
, Z.
, Lemarquis
, F.
, Torchio
, P.
, and Albrand
, G.
, 2005, “Simple Layer-By-Layer Photonic Crystal for the Control of Thermal Emission
,” Appl. Phys. Lett.
0003-6951, 86
, p. 261101
.21.
Laroche
, M.
, Carminati
, R.
, and Greffet
, J. J.
, 2006, “Coherent Thermal Antenna Using a Photonic Crystal Slab
,” Phys. Rev. Lett.
0031-9007, 96
, p. 123903
.22.
Hu
, L.
, Schmidt
, A.
, Narayanaswamy
, A.
, and Chen
, G.
, 2004, “Effects of Periodic Structures on the Coherence Properties of Blackbody Radiation
,” ASME J. Heat Transfer
0022-1481, 126
, pp. 786
–792
.23.
Celanovic
, I.
, Perreault
, D.
, and Kassakian
, J.
, 2005, “Resonant-Cavity Enhanced Thermal Emission
,” Phys. Rev. B
0163-1829, 72
, p. 075127
.24.
Lee
, B. J.
, Fu
, C. J.
, and Zhang
, Z. M.
, 2005, “Coherent Thermal Emission From One-Dimensional Photonic Crystals
,” Appl. Phys. Lett.
0003-6951, 87
, p. 071904
.25.
Lee
, B. J.
, and Zhang
, Z. M.
, 2006, “Coherent Thermal Emission From Modified Periodic Multilayer Structures
,” ASME J. Heat Transfer
0022-1481 (to be published).26.
Kretschmann
, M.
, Leskova
, T. A.
, and Maradudin
, A. A.
, 2003, “Conical Propagation of a Surface Polariton Across a Grating
,” Opt. Commun.
0030-4018, 215
, pp. 205
–223
.27.
Elston
, S. J.
, Bryan-Brown
, G. P.
, and Sambles
, J. R.
, 1991, “Polarization Conversion From Diffraction Gratings
,” Phys. Rev. B
0163-1829, 44
, pp. 6393
–6400
.28.
Moharam
, M. G.
, Grann
, E. B.
, Pommet
, D. P.
, and Gaylord
, T. K.
, 1995, “Formulation for Stable and Efficient Implementation of the Rigorous Coupled-Wave Analysis of Binary Gratings
,” J. Opt. Soc. Am. A
0740-3232, 12
, pp. 1068
–1076
.29.
Li
, L.
, 1997, “New Formulation of the Fourier Modal Method for Crossed Surface-Relief Gratings
,” J. Opt. Soc. Am. A
0740-3232, 14
, pp. 2758
–2767
.30.
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.
0167-5729, 57
, pp. 59
–112
.31.
Raether
, H.
, 1988, Surface Plasmons on smooth and rough surfaces and on gratings
, Springer Verlag
, Berlin
.32.
Simon
, J. M.
, and Gonzãlez Pagliere
, J. M.
, 1986, “Diffuse Light in Diffraction Gratings and Surface Plasma Oscillations
,” Opt. Acta
0030-3909, 33
, pp. 1035
–1049
.33.
Simon
, J. M.
, and Gonzãlez Pagliere
, J. M.
, 1988, “Diffuse Light Bands From Diffraction Gratings: Polarization Dependence and Phase Behaviour
,” J. Mod. Opt.
0950-0340, 35
, pp. 1549
–1555
.34.
Depine
, R. A.
, and Brudny
, V. L.
, 1991, “Speckle Patterns Generated by Rough Surfaces With a Periodic Component
,” J. Mod. Opt.
0950-0340, 38
, pp. 2281
–2293
.35.
Brudny
, V. L.
, Iemmi
, C. C.
, and Ledesma
, S. A.
, 1994, “Diffuse Light Bands for p and s Polarization in Microrough Diffraction Gratings
,” Optik (Jena)
0030-4026, 97
, pp. 23
–30
.Copyright © 2007
by American Society of Mechanical Engineers
You do not currently have access to this content.