Abstract

We investigate thermal emission from a metamaterial wire medium embedded in a dielectric host and highlight two different regimes for efficient emission, respectively characterized by broadband emission near the effective plasma frequency of the metamaterial, and by narrow-band resonant emission at the band-edge in the Bragg scattering regime. We discuss how to control the spectral position and relative strength of these two emission mechanisms by varying the geometrical parameters of the proposed metamaterial and its temperature.

© 2012 OSA

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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2011

2008

G. Biener, N. Dahan, A. Niv, V. Kleiner, and E. Hasman, “Highly coherent thermal emission obtained by plasmonic bandgap structures,” Appl. Phys. Lett. 92(8), 081913 (2008).
[CrossRef]

2007

2006

M. Laroche, R. Carminati, and J.-J. Greffet, “Coherent thermal antenna using a photonic crystal slab,” Phys. Rev. Lett. 96(12), 123903 (2006).
[CrossRef] [PubMed]

2003

P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, “Strong spatial dispersion in wire media in the very large wavelength limit,” Phys. Rev. B 67(11), 113103 (2003).
[CrossRef]

2002

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

2001

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

1998

J.-J. Greffet and M. Nieto-Vesperinas, “Field theory for generalized bidirectional reflectivity: derivation of Helmholtz’s reciprocity principle and Kirchhoff’s law,” J. Opt. Soc. Am. B 15(10), 2735–2744 (1998).
[CrossRef]

1997

J. Le Gall, M. Olivier, and J.-J. Greffet, “Experimental and theoretical study of reflection and coherent thermal emissionby a SiC grating supporting a surface-phonon polariton,” Phys. Rev. B 55(15), 10105–10114 (1997).
[CrossRef]

1996

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[CrossRef] [PubMed]

1985

Alexander, R. W.

Alù, A.

Basu, S.

Bell, R. J.

Belov, P. A.

P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, “Strong spatial dispersion in wire media in the very large wavelength limit,” Phys. Rev. B 67(11), 113103 (2003).
[CrossRef]

Ben-Abdallah, P.

S.-A. Biehs, F. S. S. Rosa, and P. Ben-Abdallah, “Modulation of near-field heat transfer between two gratings,” Appl. Phys. Lett. 98(24), 243102 (2011).
[CrossRef]

S.-A. Biehs, P. Ben-Abdallah, F. S. S. Rosa, K. Joulain, and J.-J. Greffet, “Nanoscale heat flux between nanoporous materials,” Opt. Express 19(S5Suppl 5), A1088–A1103 (2011).
[CrossRef] [PubMed]

Bertolotti, M.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Biehs, S.-A.

S.-A. Biehs, F. S. S. Rosa, and P. Ben-Abdallah, “Modulation of near-field heat transfer between two gratings,” Appl. Phys. Lett. 98(24), 243102 (2011).
[CrossRef]

S.-A. Biehs, P. Ben-Abdallah, F. S. S. Rosa, K. Joulain, and J.-J. Greffet, “Nanoscale heat flux between nanoporous materials,” Opt. Express 19(S5Suppl 5), A1088–A1103 (2011).
[CrossRef] [PubMed]

S.-A. Biehs, D. Reddig, and M. Holthaus, “Thermal radiation and near-field energy density of thin metallic films,” Eur. Phys. J. B 55(3), 237–251 (2007).
[CrossRef]

Biener, G.

G. Biener, N. Dahan, A. Niv, V. Kleiner, and E. Hasman, “Highly coherent thermal emission obtained by plasmonic bandgap structures,” Appl. Phys. Lett. 92(8), 081913 (2008).
[CrossRef]

Bloemer, M. J.

G. D’Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. A. Vincenti, and A. Alù, “Transmission resonances in plasmonic metallic gratings,” J. Opt. Soc. Am. B 28(2), 253–264 (2011).
[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Bowden, C. M.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Carminati, R.

M. Laroche, R. Carminati, and J.-J. Greffet, “Coherent thermal antenna using a photonic crystal slab,” Phys. Rev. Lett. 96(12), 123903 (2006).
[CrossRef] [PubMed]

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Centini, M.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Chang, Y.-C.

Chang, Y.-T.

Chen, C.-Y.

Chen, Y.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

D’Aguanno, G.

G. D’Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. A. Vincenti, and A. Alù, “Transmission resonances in plasmonic metallic gratings,” J. Opt. Soc. Am. B 28(2), 253–264 (2011).
[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Dahan, N.

G. Biener, N. Dahan, A. Niv, V. Kleiner, and E. Hasman, “Highly coherent thermal emission obtained by plasmonic bandgap structures,” Appl. Phys. Lett. 92(8), 081913 (2008).
[CrossRef]

de Ceglia, D.

Dumeige, Y.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Francoeur, M.

Greffet, J.-J.

S.-A. Biehs, P. Ben-Abdallah, F. S. S. Rosa, K. Joulain, and J.-J. Greffet, “Nanoscale heat flux between nanoporous materials,” Opt. Express 19(S5Suppl 5), A1088–A1103 (2011).
[CrossRef] [PubMed]

M. Laroche, R. Carminati, and J.-J. Greffet, “Coherent thermal antenna using a photonic crystal slab,” Phys. Rev. Lett. 96(12), 123903 (2006).
[CrossRef] [PubMed]

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

J.-J. Greffet and M. Nieto-Vesperinas, “Field theory for generalized bidirectional reflectivity: derivation of Helmholtz’s reciprocity principle and Kirchhoff’s law,” J. Opt. Soc. Am. B 15(10), 2735–2744 (1998).
[CrossRef]

J. Le Gall, M. Olivier, and J.-J. Greffet, “Experimental and theoretical study of reflection and coherent thermal emissionby a SiC grating supporting a surface-phonon polariton,” Phys. Rev. B 55(15), 10105–10114 (1997).
[CrossRef]

Hasman, E.

G. Biener, N. Dahan, A. Niv, V. Kleiner, and E. Hasman, “Highly coherent thermal emission obtained by plasmonic bandgap structures,” Appl. Phys. Lett. 92(8), 081913 (2008).
[CrossRef]

Haus, J. W.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Holden, A. J.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[CrossRef] [PubMed]

Holthaus, M.

S.-A. Biehs, D. Reddig, and M. Holthaus, “Thermal radiation and near-field energy density of thin metallic films,” Eur. Phys. J. B 55(3), 237–251 (2007).
[CrossRef]

Jiang, Y.-W.

Jokerst, N. M.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[CrossRef] [PubMed]

Joulain, K.

S.-A. Biehs, P. Ben-Abdallah, F. S. S. Rosa, K. Joulain, and J.-J. Greffet, “Nanoscale heat flux between nanoporous materials,” Opt. Express 19(S5Suppl 5), A1088–A1103 (2011).
[CrossRef] [PubMed]

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Kleiner, V.

G. Biener, N. Dahan, A. Niv, V. Kleiner, and E. Hasman, “Highly coherent thermal emission obtained by plasmonic bandgap structures,” Appl. Phys. Lett. 92(8), 081913 (2008).
[CrossRef]

Laroche, M.

M. Laroche, R. Carminati, and J.-J. Greffet, “Coherent thermal antenna using a photonic crystal slab,” Phys. Rev. Lett. 96(12), 123903 (2006).
[CrossRef] [PubMed]

Le Gall, J.

J. Le Gall, M. Olivier, and J.-J. Greffet, “Experimental and theoretical study of reflection and coherent thermal emissionby a SiC grating supporting a surface-phonon polariton,” Phys. Rev. B 55(15), 10105–10114 (1997).
[CrossRef]

Lee, S. C.

Levenson, J. A.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Liu, X.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[CrossRef] [PubMed]

Long, L. L.

Mainguy, S.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Marques, R.

P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, “Strong spatial dispersion in wire media in the very large wavelength limit,” Phys. Rev. B 67(11), 113103 (2003).
[CrossRef]

Maslovski, S. I.

P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, “Strong spatial dispersion in wire media in the very large wavelength limit,” Phys. Rev. B 67(11), 113103 (2003).
[CrossRef]

Mattiucci, N.

Mulet, J.-P.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, “Coherent emission of light by thermal sources,” Nature 416(6876), 61–64 (2002).
[CrossRef] [PubMed]

Nefedov, I. S.

P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, “Strong spatial dispersion in wire media in the very large wavelength limit,” Phys. Rev. B 67(11), 113103 (2003).
[CrossRef]

Nieto-Vesperinas, M.

J.-J. Greffet and M. Nieto-Vesperinas, “Field theory for generalized bidirectional reflectivity: derivation of Helmholtz’s reciprocity principle and Kirchhoff’s law,” J. Opt. Soc. Am. B 15(10), 2735–2744 (1998).
[CrossRef]

Niv, A.

G. Biener, N. Dahan, A. Niv, V. Kleiner, and E. Hasman, “Highly coherent thermal emission obtained by plasmonic bandgap structures,” Appl. Phys. Lett. 92(8), 081913 (2008).
[CrossRef]

Olivier, M.

J. Le Gall, M. Olivier, and J.-J. Greffet, “Experimental and theoretical study of reflection and coherent thermal emissionby a SiC grating supporting a surface-phonon polariton,” Phys. Rev. B 55(15), 10105–10114 (1997).
[CrossRef]

Ordal, M. A.

Padilla, W. J.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[CrossRef] [PubMed]

Petersen, S. J.

Querry, M. R.

Reddig, D.

S.-A. Biehs, D. Reddig, and M. Holthaus, “Thermal radiation and near-field energy density of thin metallic films,” Eur. Phys. J. B 55(3), 237–251 (2007).
[CrossRef]

Rosa, F. S. S.

S.-A. Biehs, P. Ben-Abdallah, F. S. S. Rosa, K. Joulain, and J.-J. Greffet, “Nanoscale heat flux between nanoporous materials,” Opt. Express 19(S5Suppl 5), A1088–A1103 (2011).
[CrossRef] [PubMed]

S.-A. Biehs, F. S. S. Rosa, and P. Ben-Abdallah, “Modulation of near-field heat transfer between two gratings,” Appl. Phys. Lett. 98(24), 243102 (2011).
[CrossRef]

Scalora, M.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Sibilia, C.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Silveirinha, M.

P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, “Strong spatial dispersion in wire media in the very large wavelength limit,” Phys. Rev. B 67(11), 113103 (2003).
[CrossRef]

Simovski, C. R.

P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, “Strong spatial dispersion in wire media in the very large wavelength limit,” Phys. Rev. B 67(11), 113103 (2003).
[CrossRef]

Starr, A. F.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[CrossRef] [PubMed]

Starr, T.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[CrossRef] [PubMed]

Stewart, W. J.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[CrossRef] [PubMed]

Tretyakov, S. A.

P. A. Belov, R. Marques, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, “Strong spatial dispersion in wire media in the very large wavelength limit,” Phys. Rev. B 67(11), 113103 (2003).
[CrossRef]

Tsai, D. P.

Tsai, M.-W.

Tyler, T.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[CrossRef] [PubMed]

Vidakovic, P.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(1), 016609, 1661–1669 (2001).
[CrossRef] [PubMed]

Vincenti, M. A.

Wang, C.-M.

Ye, Y.-H.

Youngs, I.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[CrossRef] [PubMed]

Appl. Opt.

Appl. Phys. Lett.

G. Biener, N. Dahan, A. Niv, V. Kleiner, and E. Hasman, “Highly coherent thermal emission obtained by plasmonic bandgap structures,” Appl. Phys. Lett. 92(8), 081913 (2008).
[CrossRef]

S.-A. Biehs, F. S. S. Rosa, and P. Ben-Abdallah, “Modulation of near-field heat transfer between two gratings,” Appl. Phys. Lett. 98(24), 243102 (2011).
[CrossRef]

Eur. Phys. J. B

S.-A. Biehs, D. Reddig, and M. Holthaus, “Thermal radiation and near-field energy density of thin metallic films,” Eur. Phys. J. B 55(3), 237–251 (2007).
[CrossRef]

J. Opt. Soc. Am. B

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Figures (5)

Fig. 1
Fig. 1

MM wire medium made of metallic columns of square cross-section d × d arranged in a cubic lattice of period Λ and embedded in a generic host medium with electric permittivity εb. The MM is finite over the z-direction with a thickness L = NΛ, where N is the number of rows of nanocolumns. We consider a plane, electromagnetic wave at normal incidence with electric field polarized along the wires.

Fig. 2
Fig. 2

(Left panel) Absorption vs. incident wavelength for a wire medium MM made of silver nanocolumns with Λ = 2μm, d = 100nm and εb = 1 and different number N of rows. Full wave simulations based on the FMM method (continuous line) are compared with analytical results (dashed line) based on Eqs. (1), (2). (Right panel) Same as in the left panel but considering a different host medium with n b = ε b =1.52 .

Fig. 3
Fig. 3

Cross-sectional view of the electric field localization at the MM resonance and at the BE resonance as indicated in Fig. 2(f). The structure has 20 rows of columns, it starts at z = 0 and ends at z = 40μm. For the help of the eye, the inset shows a magnification of the field localization around a metal column in the two cases.

Fig. 4
Fig. 4

Normalized emission vs. wavelength for an ideal black body (dashed line) and the wire medium (continuous line) for different temperatures. The peak of the black body emission has been normalized to 1.

Fig. 5
Fig. 5

Absorption vs. incident wavelength for the same wire medium as in Fig. 2(f) except that now the column cross-section is 40nm2.

Equations (2)

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ε eff = ε b [ 1 ω p 2 ω( ω+i γ eff ) ], γ eff = ε 0 σ 2π c 2 d 2 ln( Λ/d ) ,
ω p =2πc/ λ p , λ p =Λ 2π ε b ln( Λ/d ) ,

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