Abstract

We theoretically study reversed Cherenkov radiation (CR) in anisotropic double-negative metamaterials (DNMs) in general, and particularly in detail for one of the most practical cases, i.e., CR in a waveguide partially filled with anisotropic DNMs. The theory presented here provides a theoretical basis for possible experiments and potential applications. As an example, we discuss the physical properties of CR and the potential applications such as particle detectors and high-power sources.

© 2008 Optical Society of America

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  1. P. A. Èerenkov, "Visible radiation produced by electrons moving in a medium with velocities exceeding that of light," Phys. Rev. 52, 378-379 (1937).
    [CrossRef]
  2. I. M. Frank and I. E. Tamm, "Coherent visible radiation of fast electrons passing through matter," Compt. Rend. (Dokl.) 14,109-114 (1937).
  3. B. M. Bolotovskii, "Theory of cerenkov radiation (III)," Sov. Phys. Usp. 4, 781-811 (1962).
    [CrossRef]
  4. V. P. Zrelov, Cherenkov Radiation in High Energy Physics (Israel Program for Scientific Translations, Jerusalem, 1970).
  5. J. V. Jelley, Cerenkov Radiation and its Applications (Pergamon Press, New York, 1958).
  6. Z. Duan, Y. Gong, Y. Wei, and W. Wang, "Impact of attenuator models on computed traveling wave tube performances," Phys. Plasmas 14, 093103 (2007).
    [CrossRef]
  7. O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, "Observation of antiprotons," Phys. Rev. 100, 947-950 (1955).
    [CrossRef]
  8. J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
    [CrossRef]
  9. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp. 10, 509-514 (1968).
    [CrossRef]
  10. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely Low Frequency Plasmons in Metallic Mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996).
    [CrossRef] [PubMed]
  11. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
    [CrossRef]
  12. M. C. K.  Wiltshire, J. B.  Pendry, and J. V.  Hajnal, "Sub-wavelength imaging at radio frequency," J. Phys.: Condens. Matter 18, L315-L321 (2006).
    [CrossRef]
  13. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
    [CrossRef] [PubMed]
  14. J. Lu, T. Grzegorczyk, Y. Zhang, J. PachecoJr., B.-I. Wu, J. Kong, and M. Chen, "Èerenkov radiation in materials with negative permittivity and permeability," Opt. Express 11, 723-734 (2003).
    [CrossRef] [PubMed]
  15. Y. O. Averkov and V. M. Yakovenko, "Cherenkov radiation by an electron bunch that moves in a vacuum above a left-handed material," Phys. Rev. B 72, 205110 (2005).
    [CrossRef]
  16. B.-I. Wu, J. Lu, J. Kong, and M. Chen, "Left-handed metamaterial design for Cerenkov radiation," J. Appl. Phys. 102, 114907 (2007).
    [CrossRef]
  17. 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, 014901 (2008).
    [CrossRef]
  18. C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, "Cerenkov radiation in photonic crystals," Science 299, 368-371 (2003).
    [CrossRef] [PubMed]
  19. A. V. Kats, S. Savel’ev, V. A. Yampol’skii, and F. Nori, "Left-handed interfaces for electromagnetic surface waves," Phys. Rev. Lett. 98, 073901 (2007).
    [CrossRef] [PubMed]
  20. R. W. Ziolkowski and A. D. Kipple, "Causality and double-negative metamaterials," Phys. Rev. E 68, 026615 (2003).
    [CrossRef]
  21. V.  Yannopapas, "Negative refraction in random photonic alloys of polaritonic and plasmonic microspheres," Phys. Rev. B 75, 035112 (2007).
    [CrossRef]

2008 (1)

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, 014901 (2008).
[CrossRef]

2007 (4)

A. V. Kats, S. Savel’ev, V. A. Yampol’skii, and F. Nori, "Left-handed interfaces for electromagnetic surface waves," Phys. Rev. Lett. 98, 073901 (2007).
[CrossRef] [PubMed]

Z. Duan, Y. Gong, Y. Wei, and W. Wang, "Impact of attenuator models on computed traveling wave tube performances," Phys. Plasmas 14, 093103 (2007).
[CrossRef]

V.  Yannopapas, "Negative refraction in random photonic alloys of polaritonic and plasmonic microspheres," Phys. Rev. B 75, 035112 (2007).
[CrossRef]

B.-I. Wu, J. Lu, J. Kong, and M. Chen, "Left-handed metamaterial design for Cerenkov radiation," J. Appl. Phys. 102, 114907 (2007).
[CrossRef]

2006 (1)

M. C. K.  Wiltshire, J. B.  Pendry, and J. V.  Hajnal, "Sub-wavelength imaging at radio frequency," J. Phys.: Condens. Matter 18, L315-L321 (2006).
[CrossRef]

2005 (1)

Y. O. Averkov and V. M. Yakovenko, "Cherenkov radiation by an electron bunch that moves in a vacuum above a left-handed material," Phys. Rev. B 72, 205110 (2005).
[CrossRef]

2003 (3)

R. W. Ziolkowski and A. D. Kipple, "Causality and double-negative metamaterials," Phys. Rev. E 68, 026615 (2003).
[CrossRef]

C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, "Cerenkov radiation in photonic crystals," Science 299, 368-371 (2003).
[CrossRef] [PubMed]

J. Lu, T. Grzegorczyk, Y. Zhang, J. PachecoJr., B.-I. Wu, J. Kong, and M. Chen, "Èerenkov radiation in materials with negative permittivity and permeability," Opt. Express 11, 723-734 (2003).
[CrossRef] [PubMed]

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[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. Microwave Theory Tech. 47, 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, 4773-4776 (1996).
[CrossRef] [PubMed]

1974 (1)

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

1968 (1)

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

1962 (1)

B. M. Bolotovskii, "Theory of cerenkov radiation (III)," Sov. Phys. Usp. 4, 781-811 (1962).
[CrossRef]

1955 (1)

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, "Observation of antiprotons," Phys. Rev. 100, 947-950 (1955).
[CrossRef]

1937 (2)

P. A. Èerenkov, "Visible radiation produced by electrons moving in a medium with velocities exceeding that of light," Phys. Rev. 52, 378-379 (1937).
[CrossRef]

I. M. Frank and I. E. Tamm, "Coherent visible radiation of fast electrons passing through matter," Compt. Rend. (Dokl.) 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, 014901 (2008).
[CrossRef]

Aubert, J. J.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Averkov, Y. O.

Y. O. Averkov and V. M. Yakovenko, "Cherenkov radiation by an electron bunch that moves in a vacuum above a left-handed material," Phys. Rev. B 72, 205110 (2005).
[CrossRef]

Becker, U.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Biggs, P. J.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Bolotovskii, B. M.

B. M. Bolotovskii, "Theory of cerenkov radiation (III)," Sov. Phys. Usp. 4, 781-811 (1962).
[CrossRef]

Burger, J.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Chamberlain, O.

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, "Observation of antiprotons," Phys. Rev. 100, 947-950 (1955).
[CrossRef]

Chen, M.

B.-I. Wu, J. Lu, J. Kong, and M. Chen, "Left-handed metamaterial design for Cerenkov radiation," J. Appl. Phys. 102, 114907 (2007).
[CrossRef]

J. Lu, T. Grzegorczyk, Y. Zhang, J. PachecoJr., B.-I. Wu, J. Kong, and M. Chen, "Èerenkov radiation in materials with negative permittivity and permeability," Opt. Express 11, 723-734 (2003).
[CrossRef] [PubMed]

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

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, 014901 (2008).
[CrossRef]

Duan, Z.

Z. Duan, Y. Gong, Y. Wei, and W. Wang, "Impact of attenuator models on computed traveling wave tube performances," Phys. Plasmas 14, 093103 (2007).
[CrossRef]

Èerenkov, P. A.

P. A. Èerenkov, "Visible radiation produced by electrons moving in a medium with velocities exceeding that of light," Phys. Rev. 52, 378-379 (1937).
[CrossRef]

Everhart, G.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

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, 014901 (2008).
[CrossRef]

Frank, I. M.

I. M. Frank and I. E. Tamm, "Coherent visible radiation of fast electrons passing through matter," Compt. Rend. (Dokl.) 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, 014901 (2008).
[CrossRef]

Goldhagen, P.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Gong, Y.

Z. Duan, Y. Gong, Y. Wei, and W. Wang, "Impact of attenuator models on computed traveling wave tube performances," Phys. Plasmas 14, 093103 (2007).
[CrossRef]

Grzegorczyk, T.

Hajnal, J. V.

M. C. K.  Wiltshire, J. B.  Pendry, and J. V.  Hajnal, "Sub-wavelength imaging at radio frequency," J. Phys.: Condens. Matter 18, L315-L321 (2006).
[CrossRef]

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. Microwave Theory Tech. 47, 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, 4773-4776 (1996).
[CrossRef] [PubMed]

Ibanescu, M.

C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, "Cerenkov radiation in photonic crystals," Science 299, 368-371 (2003).
[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, 014901 (2008).
[CrossRef]

Joannopoulos, J. D.

C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, "Cerenkov radiation in photonic crystals," Science 299, 368-371 (2003).
[CrossRef] [PubMed]

Johnson, S. G.

C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, "Cerenkov radiation in photonic crystals," Science 299, 368-371 (2003).
[CrossRef] [PubMed]

Kats, A. V.

A. V. Kats, S. Savel’ev, V. A. Yampol’skii, and F. Nori, "Left-handed interfaces for electromagnetic surface waves," Phys. Rev. Lett. 98, 073901 (2007).
[CrossRef] [PubMed]

Kipple, A. D.

R. W. Ziolkowski and A. D. Kipple, "Causality and double-negative metamaterials," Phys. Rev. E 68, 026615 (2003).
[CrossRef]

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, 014901 (2008).
[CrossRef]

Kong, J.

Lee, Y. Y.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Leong, J.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

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, 014901 (2008).
[CrossRef]

Lu, J.

Luo, C.

C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, "Cerenkov radiation in photonic crystals," Science 299, 368-371 (2003).
[CrossRef] [PubMed]

McCorriston, T.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Nori, F.

A. V. Kats, S. Savel’ev, V. A. Yampol’skii, and F. Nori, "Left-handed interfaces for electromagnetic surface waves," Phys. Rev. Lett. 98, 073901 (2007).
[CrossRef] [PubMed]

Pacheco, J.

Pendry, J. B.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 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, 4773-4776 (1996).
[CrossRef] [PubMed]

Pendry, J. B.

M. C. K.  Wiltshire, J. B.  Pendry, and J. V.  Hajnal, "Sub-wavelength imaging at radio frequency," J. Phys.: Condens. Matter 18, L315-L321 (2006).
[CrossRef]

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, 014901 (2008).
[CrossRef]

Rhoades, T. G.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

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. Microwave Theory Tech. 47, 2075-2084 (1999).
[CrossRef]

Rohde, M.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Savel’ev, S.

A. V. Kats, S. Savel’ev, V. A. Yampol’skii, and F. Nori, "Left-handed interfaces for electromagnetic surface waves," Phys. Rev. Lett. 98, 073901 (2007).
[CrossRef] [PubMed]

Schultz, S.

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

Segre, E.

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, "Observation of antiprotons," Phys. Rev. 100, 947-950 (1955).
[CrossRef]

Shelby, R. A.

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

Smith, D. R.

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[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, 014901 (2008).
[CrossRef]

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. Microwave Theory Tech. 47, 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, 4773-4776 (1996).
[CrossRef] [PubMed]

Tamm, I. E.

I. M. Frank and I. E. Tamm, "Coherent visible radiation of fast electrons passing through matter," Compt. Rend. (Dokl.) 14,109-114 (1937).

Ting, S. C.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Veselago, V. G.

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

Wang, W.

Z. Duan, Y. Gong, Y. Wei, and W. Wang, "Impact of attenuator models on computed traveling wave tube performances," Phys. Plasmas 14, 093103 (2007).
[CrossRef]

Wei, Y.

Z. Duan, Y. Gong, Y. Wei, and W. Wang, "Impact of attenuator models on computed traveling wave tube performances," Phys. Plasmas 14, 093103 (2007).
[CrossRef]

Wiegand, C.

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, "Observation of antiprotons," Phys. Rev. 100, 947-950 (1955).
[CrossRef]

Wiltshire, M. C. K.

M. C. K.  Wiltshire, J. B.  Pendry, and J. V.  Hajnal, "Sub-wavelength imaging at radio frequency," J. Phys.: Condens. Matter 18, L315-L321 (2006).
[CrossRef]

Wu, B.-I.

Wu, S. L.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Yakovenko, V. M.

Y. O. Averkov and V. M. Yakovenko, "Cherenkov radiation by an electron bunch that moves in a vacuum above a left-handed material," Phys. Rev. B 72, 205110 (2005).
[CrossRef]

Yampol’skii, V. A.

A. V. Kats, S. Savel’ev, V. A. Yampol’skii, and F. Nori, "Left-handed interfaces for electromagnetic surface waves," Phys. Rev. Lett. 98, 073901 (2007).
[CrossRef] [PubMed]

Yannopapas, V.

V.  Yannopapas, "Negative refraction in random photonic alloys of polaritonic and plasmonic microspheres," Phys. Rev. B 75, 035112 (2007).
[CrossRef]

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, 4773-4776 (1996).
[CrossRef] [PubMed]

Ypsilantis, T.

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, "Observation of antiprotons," Phys. Rev. 100, 947-950 (1955).
[CrossRef]

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, 014901 (2008).
[CrossRef]

Zhang, Y.

Ziolkowski, R. W.

R. W. Ziolkowski and A. D. Kipple, "Causality and double-negative metamaterials," Phys. Rev. E 68, 026615 (2003).
[CrossRef]

Compt. Rend. (Dokl.) (1)

I. M. Frank and I. E. Tamm, "Coherent visible radiation of fast electrons passing through matter," Compt. Rend. (Dokl.) 14,109-114 (1937).

IEEE Trans. Microwave 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. Microwave Theory Tech. 47, 2075-2084 (1999).
[CrossRef]

J. Appl. Phys. (2)

B.-I. Wu, J. Lu, J. Kong, and M. Chen, "Left-handed metamaterial design for Cerenkov radiation," J. Appl. Phys. 102, 114907 (2007).
[CrossRef]

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, 014901 (2008).
[CrossRef]

J. Phys.: Condens. Matter (1)

M. C. K.  Wiltshire, J. B.  Pendry, and J. V.  Hajnal, "Sub-wavelength imaging at radio frequency," J. Phys.: Condens. Matter 18, L315-L321 (2006).
[CrossRef]

Opt. Express (1)

Phys. Plasmas (1)

Z. Duan, Y. Gong, Y. Wei, and W. Wang, "Impact of attenuator models on computed traveling wave tube performances," Phys. Plasmas 14, 093103 (2007).
[CrossRef]

Phys. Rev. (2)

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, "Observation of antiprotons," Phys. Rev. 100, 947-950 (1955).
[CrossRef]

P. A. Èerenkov, "Visible radiation produced by electrons moving in a medium with velocities exceeding that of light," Phys. Rev. 52, 378-379 (1937).
[CrossRef]

Phys. Rev. B (2)

Y. O. Averkov and V. M. Yakovenko, "Cherenkov radiation by an electron bunch that moves in a vacuum above a left-handed material," Phys. Rev. B 72, 205110 (2005).
[CrossRef]

V.  Yannopapas, "Negative refraction in random photonic alloys of polaritonic and plasmonic microspheres," Phys. Rev. B 75, 035112 (2007).
[CrossRef]

Phys. Rev. E (1)

R. W. Ziolkowski and A. D. Kipple, "Causality and double-negative metamaterials," Phys. Rev. E 68, 026615 (2003).
[CrossRef]

Phys. Rev. Lett. (3)

A. V. Kats, S. Savel’ev, V. A. Yampol’skii, and F. Nori, "Left-handed interfaces for electromagnetic surface waves," Phys. Rev. Lett. 98, 073901 (2007).
[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, 4773-4776 (1996).
[CrossRef] [PubMed]

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, "Experimental observation of a heavy particle J," Phys. Rev. Lett. 33, 1404-1406 (1974).
[CrossRef]

Science (2)

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

C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, "Cerenkov radiation in photonic crystals," Science 299, 368-371 (2003).
[CrossRef] [PubMed]

Sov. Phys. Usp. (2)

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

B. M. Bolotovskii, "Theory of cerenkov radiation (III)," Sov. Phys. Usp. 4, 781-811 (1962).
[CrossRef]

Other (2)

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

J. V. Jelley, Cerenkov Radiation and its Applications (Pergamon Press, New York, 1958).

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Figures (3)

Fig. 1.
Fig. 1.

A schematic diagram of a charge moving in a waveguide partially filled with anisotropic DNMs.

Fig. 2.
Fig. 2.

Comparison between the spectral densities in the waveguides partially and fully filled with anisotropic DNMs.

Fig. 3.
Fig. 3.

Comparison between the total radiated energies in the waveguides partially and fully filled with anisotropic DNMs.

Tables (1)

Tables Icon

Table 1. Different solutions of g(ρ) for different regions.

Equations (16)

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ε r ρ ( ω ) = 1 ω p ρ 2 ω 2 + i γ e ρ ω ,
μ r ρ ( ω ) = 1 F ρ ω 2 ω 2 ω 0 ρ 2 + i γ m ρ ω ,
× [ μ = 1 · × ( z ̂ A z ) ] J ¯ = ω 2 ε = · ( z ̂ A z ) + i ω ε = · ϕ ,
[ 1 ρ ρ ( ρ ρ ) + k ρ 2 ] g ( ρ ) = δ ( ρ ) 2 π ρ ,
E ¯ z ( r ¯ , ω ) = z ̂ i q 2 π ω ε z e i ω z υ ( ω 2 ε z μ θ ε z ε ρ ω 2 υ 2 ) g ( ρ ) ,
E ¯ ρ ( r ¯ , ω ) = ρ ̂ q 2 π ε ρ υ e i ω z υ ρ g ( ρ ) ,
H ¯ θ ( r ¯ , ω ) = θ ̂ q 2 π e i ω z υ ρ g ( ρ ) .
Layer 1 ( 0 < ρ < α ) : g ( ρ ) = η I 0 ( s ρ 1 ρ ) + 1 2 π K 0 ( s ρ 1 ρ ) ,
Layer 2 ( α ρ b ) : g ( ρ ) = ξ J 0 ( k ρ 2 ρ ) + ζ N 0 ( k ρ 2 ρ ) .
η = 1 2 π p 0 p 12 K 1 ( s ρ 1 a ) q 0 K 0 ( s ρ 1 a ) p 0 p 12 I 1 ( s ρ 1 a ) + q 0 I 0 ( s ρ 1 a ) ,
ξ = 1 2 π a k ρ 2 N 0 ( k ρ 2 b ) p 0 p 12 I 1 ( s ρ 1 a ) + q 0 I 0 ( s ρ 1 a ) ,
ζ = 1 2 π a k ρ 2 J 0 ( k ρ 2 b ) p 0 p 12 I 1 ( s ρ 1 a ) + q 0 I 0 ( s ρ 1 a ) ,
p 0 = N 0 ( k ρ 2 a ) J 0 ( k ρ 2 b ) N 0 ( k ρ 2 b ) J 0 ( k ρ 2 a ) ,
q 0 = N 0 ( k ρ 2 b ) J 1 ( k ρ 2 a ) N 1 ( k ρ 2 a ) J 0 ( k ρ 2 b ) .
d W d z = q 2 π Re { Re { ε r ρ μ r θ } > 1 β 2 d ω i ε 0 ( ω ε 0 μ 0 ω υ 2 ) g ( ρ 0 ) } ,
p 0 p 12 I 1 ( s ρ 1 a ) + q 0 I 0 ( s ρ 1 a ) = 0 .

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