Abstract

In order to enhance the radiation energy of reversed Cherenkov radiation (RCR), on the basis of the single charged particle model, we developed a theoretical method using a charged particle beam bunch to enhance RCR in a circular waveguide partially filled with anisotropic double-negative metamaterials (DNMs). In this case, the reversed radiation mechanism is further illustrated. Numerical example shows that the radiated energy can be effectively enhanced by increasing the charged particle number in a short bunch and thus be readily detectable. The method reported here offers a theoretical basis for directly observing RCR using a charged particle beam bunch.

© 2011 OSA

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  8. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  22. Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in a waveguide filled with anisotropic double-negative metamaterials,” J. Appl. Phys. 104(6), 063303 (2008).
    [CrossRef]
  23. Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Cherenkov radiation in anisotropic double-negative metamaterials,” Opt. Express 16(22), 18479–18484 (2008).
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2010 (2)

S. N. Galyamin and A. V. Tyukhtin, “Electromagnetic field of a moving charge in the presence of a left-handed medium,” Phys. Rev. B 81(23), 235134 (2010).
[CrossRef]

S. N. Galyamin and A. V. Tyukhtin, “Electromagnetic field of a moving charge in the presence of a left-handed medium,” Phys. Rev. B 81(23), 235134 (2010).
[CrossRef]

2009 (4)

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103(19), 194802 (2009).
[CrossRef] [PubMed]

Z. Y. Duan, B.-I. Wu, S. Xi, H. S. Chen, and M. Chen, “Research progress in reversed Cherenkov radiation in double-negative metamaterials,” Progress In Electromagnetics Research 90, 75–87 (2009).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in unbounded anisotropic double-negative metamaterials,” J. Phys. D Appl. Phys. 42(18), 185102 (2009).
[CrossRef]

2008 (4)

Y. P. Bliokh, S. Savel’ev, and F. Nori, “Electron-beam instability in left-handed media,” Phys. Rev. Lett. 100(24), 244803 (2008).
[CrossRef] [PubMed]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in a waveguide filled with anisotropic double-negative metamaterials,” J. Appl. Phys. 104(6), 063303 (2008).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Cherenkov radiation in anisotropic double-negative metamaterials,” Opt. Express 16(22), 18479–18484 (2008).
[CrossRef] [PubMed]

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

2006 (2)

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

2004 (1)

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

2003 (1)

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[CrossRef] [PubMed]

2000 (2)

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84(18), 4184–4187 (2000).
[CrossRef] [PubMed]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[CrossRef] [PubMed]

1999 (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

1996 (1)

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]

1968 (1)

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10(4), 509–514 (1968).
[CrossRef]

1937 (2)

P. A. Čerenkov, “Visible radiation produced by electrons moving in a medium with velocities exceeding that of light,” Phys. Rev. 52(4), 378–379 (1937).
[CrossRef]

I. M. Frank and I. E. Tamm, “Coherent visible radiation of fast electrons passing through matter,” Dokl. Akad. Nauk SSSR 14, 109–114 (1937).

Antipov, S.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Basov, D. N.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

Bliokh, Y. P.

Y. P. Bliokh, S. Savel’ev, and F. Nori, “Electron-beam instability in left-handed media,” Phys. Rev. Lett. 100(24), 244803 (2008).
[CrossRef] [PubMed]

Cerenkov, P. A.

P. A. Čerenkov, “Visible radiation produced by electrons moving in a medium with velocities exceeding that of light,” Phys. Rev. 52(4), 378–379 (1937).
[CrossRef]

Chen, H. S.

Z. Y. Duan, B.-I. Wu, S. Xi, H. S. Chen, and M. Chen, “Research progress in reversed Cherenkov radiation in double-negative metamaterials,” Progress In Electromagnetics Research 90, 75–87 (2009).
[CrossRef]

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Chen, M.

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Z. Y. Duan, B.-I. Wu, S. Xi, H. S. Chen, and M. Chen, “Research progress in reversed Cherenkov radiation in double-negative metamaterials,” Progress In Electromagnetics Research 90, 75–87 (2009).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in unbounded anisotropic double-negative metamaterials,” J. Phys. D Appl. Phys. 42(18), 185102 (2009).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in a waveguide filled with anisotropic double-negative metamaterials,” J. Appl. Phys. 104(6), 063303 (2008).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Cherenkov radiation in anisotropic double-negative metamaterials,” Opt. Express 16(22), 18479–18484 (2008).
[CrossRef] [PubMed]

J. Lu, T. Grzegorczyk, Y. Zhang, J. Pacheco, B.-I. Wu, J. Kong, and M. Chen, “Cerenkov radiation in materials with negative permittivity and permeability,” Opt. Express 11(7), 723–734 (2003).
[CrossRef] [PubMed]

Conde, M.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Cummer, S. A.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

Duan, Z. Y.

Z. Y. Duan, B.-I. Wu, S. Xi, H. S. Chen, and M. Chen, “Research progress in reversed Cherenkov radiation in double-negative metamaterials,” Progress In Electromagnetics Research 90, 75–87 (2009).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in unbounded anisotropic double-negative metamaterials,” J. Phys. D Appl. Phys. 42(18), 185102 (2009).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Cherenkov radiation in anisotropic double-negative metamaterials,” Opt. Express 16(22), 18479–18484 (2008).
[CrossRef] [PubMed]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in a waveguide filled with anisotropic double-negative metamaterials,” J. Appl. Phys. 104(6), 063303 (2008).
[CrossRef]

Fang, N.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

Franchini, F.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Frank, I. M.

I. M. Frank and I. E. Tamm, “Coherent visible radiation of fast electrons passing through matter,” Dokl. Akad. Nauk SSSR 14, 109–114 (1937).

Gai, W.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Galyamin, S. N.

S. N. Galyamin and A. V. Tyukhtin, “Electromagnetic field of a moving charge in the presence of a left-handed medium,” Phys. Rev. B 81(23), 235134 (2010).
[CrossRef]

S. N. Galyamin and A. V. Tyukhtin, “Electromagnetic field of a moving charge in the presence of a left-handed medium,” Phys. Rev. B 81(23), 235134 (2010).
[CrossRef]

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103(19), 194802 (2009).
[CrossRef] [PubMed]

Grzegorczyk, T.

Holden, A. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

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]

Huangfu, J. T.

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Jiang, T.

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Jing, C.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Justice, B. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

Kanareykin, A.

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103(19), 194802 (2009).
[CrossRef] [PubMed]

Konecny, R.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Kong, J.

Kong, J. A.

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in unbounded anisotropic double-negative metamaterials,” J. Phys. D Appl. Phys. 42(18), 185102 (2009).
[CrossRef]

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in a waveguide filled with anisotropic double-negative metamaterials,” J. Appl. Phys. 104(6), 063303 (2008).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Cherenkov radiation in anisotropic double-negative metamaterials,” Opt. Express 16(22), 18479–18484 (2008).
[CrossRef] [PubMed]

Liu, W.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Lu, J.

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in unbounded anisotropic double-negative metamaterials,” J. Phys. D Appl. Phys. 42(18), 185102 (2009).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Cherenkov radiation in anisotropic double-negative metamaterials,” Opt. Express 16(22), 18479–18484 (2008).
[CrossRef] [PubMed]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in a waveguide filled with anisotropic double-negative metamaterials,” J. Appl. Phys. 104(6), 063303 (2008).
[CrossRef]

J. Lu, T. Grzegorczyk, Y. Zhang, J. Pacheco, B.-I. Wu, J. Kong, and M. Chen, “Cerenkov radiation in materials with negative permittivity and permeability,” Opt. Express 11(7), 723–734 (2003).
[CrossRef] [PubMed]

Mock, J. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

Nemat-Nasser, S. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84(18), 4184–4187 (2000).
[CrossRef] [PubMed]

Nori, F.

Y. P. Bliokh, S. Savel’ev, and F. Nori, “Electron-beam instability in left-handed media,” Phys. Rev. Lett. 100(24), 244803 (2008).
[CrossRef] [PubMed]

Pacheco, J.

Padilla, W. J.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84(18), 4184–4187 (2000).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[CrossRef] [PubMed]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

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]

Power, J. G.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Ran, L. X.

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Robbins, D. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

Savel’ev, S.

Y. P. Bliokh, S. Savel’ev, and F. Nori, “Electron-beam instability in left-handed media,” Phys. Rev. Lett. 100(24), 244803 (2008).
[CrossRef] [PubMed]

Schoessow, P.

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103(19), 194802 (2009).
[CrossRef] [PubMed]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84(18), 4184–4187 (2000).
[CrossRef] [PubMed]

Schurig, D.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[CrossRef] [PubMed]

Smith, D. R.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84(18), 4184–4187 (2000).
[CrossRef] [PubMed]

Spentzouris, L.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Starr, A. F.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

Stewart, W. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

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]

Tamm, I. E.

I. M. Frank and I. E. Tamm, “Coherent visible radiation of fast electrons passing through matter,” Dokl. Akad. Nauk SSSR 14, 109–114 (1937).

Tyukhtin, A. V.

S. N. Galyamin and A. V. Tyukhtin, “Electromagnetic field of a moving charge in the presence of a left-handed medium,” Phys. Rev. B 81(23), 235134 (2010).
[CrossRef]

S. N. Galyamin and A. V. Tyukhtin, “Electromagnetic field of a moving charge in the presence of a left-handed medium,” Phys. Rev. B 81(23), 235134 (2010).
[CrossRef]

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103(19), 194802 (2009).
[CrossRef] [PubMed]

Veselago, V. G.

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10(4), 509–514 (1968).
[CrossRef]

Vier, D. C.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84(18), 4184–4187 (2000).
[CrossRef] [PubMed]

Wu, B.-I.

Z. Y. Duan, B.-I. Wu, S. Xi, H. S. Chen, and M. Chen, “Research progress in reversed Cherenkov radiation in double-negative metamaterials,” Progress In Electromagnetics Research 90, 75–87 (2009).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in unbounded anisotropic double-negative metamaterials,” J. Phys. D Appl. Phys. 42(18), 185102 (2009).
[CrossRef]

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Cherenkov radiation in anisotropic double-negative metamaterials,” Opt. Express 16(22), 18479–18484 (2008).
[CrossRef] [PubMed]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in a waveguide filled with anisotropic double-negative metamaterials,” J. Appl. Phys. 104(6), 063303 (2008).
[CrossRef]

J. Lu, T. Grzegorczyk, Y. Zhang, J. Pacheco, B.-I. Wu, J. Kong, and M. Chen, “Cerenkov radiation in materials with negative permittivity and permeability,” Opt. Express 11(7), 723–734 (2003).
[CrossRef] [PubMed]

Xi, S.

Z. Y. Duan, B.-I. Wu, S. Xi, H. S. Chen, and M. Chen, “Research progress in reversed Cherenkov radiation in double-negative metamaterials,” Progress In Electromagnetics Research 90, 75–87 (2009).
[CrossRef]

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Yen, T. J.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

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]

Yusof, Z.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Zhang, X.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

Zhang, Y.

Dokl. Akad. Nauk SSSR (1)

I. M. Frank and I. E. Tamm, “Coherent visible radiation of fast electrons passing through matter,” Dokl. Akad. Nauk SSSR 14, 109–114 (1937).

IEEE Trans. Microw. Theory Tech. (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

J. Appl. Phys. (2)

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104(1), 014901 (2008).
[CrossRef]

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in a waveguide filled with anisotropic double-negative metamaterials,” J. Appl. Phys. 104(6), 063303 (2008).
[CrossRef]

J. Phys. D Appl. Phys. (1)

Z. Y. Duan, B.-I. Wu, J. Lu, J. A. Kong, and M. Chen, “Reversed Cherenkov radiation in unbounded anisotropic double-negative metamaterials,” J. Phys. D Appl. Phys. 42(18), 185102 (2009).
[CrossRef]

Opt. Express (2)

Phys. Rev. (1)

P. A. Čerenkov, “Visible radiation produced by electrons moving in a medium with velocities exceeding that of light,” Phys. Rev. 52(4), 378–379 (1937).
[CrossRef]

Phys. Rev. B (2)

S. N. Galyamin and A. V. Tyukhtin, “Electromagnetic field of a moving charge in the presence of a left-handed medium,” Phys. Rev. B 81(23), 235134 (2010).
[CrossRef]

S. N. Galyamin and A. V. Tyukhtin, “Electromagnetic field of a moving charge in the presence of a left-handed medium,” Phys. Rev. B 81(23), 235134 (2010).
[CrossRef]

Phys. Rev. Lett. (6)

Y. P. Bliokh, S. Savel’ev, and F. Nori, “Electron-beam instability in left-handed media,” Phys. Rev. Lett. 100(24), 244803 (2008).
[CrossRef] [PubMed]

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103(19), 194802 (2009).
[CrossRef] [PubMed]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84(18), 4184–4187 (2000).
[CrossRef] [PubMed]

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]

S. Xi, H. S. Chen, T. Jiang, L. X. Ran, J. T. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103(19), 194801 (2009).
[CrossRef] [PubMed]

Progress In Electromagnetics Research (1)

Z. Y. Duan, B.-I. Wu, S. Xi, H. S. Chen, and M. Chen, “Research progress in reversed Cherenkov radiation in double-negative metamaterials,” Progress In Electromagnetics Research 90, 75–87 (2009).
[CrossRef]

Science (4)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[CrossRef] [PubMed]

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303(5663), 1494–1496 (2004).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

Sov. Phys. Usp. (1)

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10(4), 509–514 (1968).
[CrossRef]

Other (2)

V. P. Zrelov, Cherenkov Radiation in High Energy Physics (Israel Program for Scientiðc Translations, Jerusalem, 1970).

T. Shiozawa, Classical Relativistic Electrodynamics (Springer, 2004).

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Figures (6)

Fig. 1
Fig. 1

A schematic diagram of a charged particle beam bunch moving uniformly with a constant speed υ ¯ in a circular waveguide partially filled with anisotropic DNMs. ρ 0 and 2 z 0 are the radius and the axial length of the charged particle bunch, respectively.

Fig. 2
Fig. 2

Power flux densities at different positions that clearly show the reversed behavior of CR in DNMs.

Fig. 3
Fig. 3

Radiated energy spectral density over the radiation frequency band.

Fig. 4
Fig. 4

Total radiated energy as a function of the loss for different charged particle velocities.

Fig. 5
Fig. 5

Total radiated energy as a function of the radius of the electron beam bunch with constant charge density.

Fig. 6
Fig. 6

Total radiated energy as a function of the length of the electron beam bunch.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

ρ p = q 0 N 2 π ρ 0 2 z 0 T ( t , z )   and   J ¯ ( z , t ) = z ^ υ q 0 N 2 π ρ 0 2 z 0 T ( t , z ) ,
J ¯ ( z , ω ) = 1 2 π d t J ¯ ( z , t ) e i ω t = z ^ υ q 0 N 2 π 2 ρ 0 2 z 0 e i ω z / υ 1 ω sin ω z 0 υ .
[ 1 ρ ρ ( ρ ρ ) + k ρ 2 ] A z ( ρ , z , ω ) = μ 0 υ q 0 N 2 π 2 ρ 0 2 z 0 1 ω sin ω z 0 υ e i ω υ z = p ( z , ω ) ,
A z ( ρ , z , ω ) = V G ( ρ , ρ , z , z , ω ) p ( z , ω ) d V ,
[ 1 ρ ρ ( ρ ρ ) + k ρ 2 ] G ( ρ , ρ , z , z , ω ) = 1 2 π ρ δ ( ρ ρ ) δ ( z z ) ,

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