Abstract

In this paper, we investigate the transport properties of microwaves in a two-dimensional (2D) graphenelike photonic crystal (PC) slab. We realize a narrow electromagnetic (EM) beam by using a grounded coplanar waveguide with better direction, which is beneficial to the study of the transport properties of (2D) PCs. The extremal transmission of the microwave near the Dirac point in a graphenelike PC slab, being inversely proportional to the thickness of the sample, is demonstrated by means of numerical simulation. Furthermore, we verify experimentally that some certain EM field modes for photonic bands cannot be excited in the PC slab.

© 2012 Optical Society of America

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  1. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
    [CrossRef]
  2. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).
    [CrossRef]
  3. C. W. Beenakker, “Colloquium: Andreev reflection and Klein tunneling in graphene,” Rev. Mod. Phys. 80, 1337–1354 (2008).
    [CrossRef]
  4. P. R. Wallace, “The band theory of graphite,” Phys. Rev. 71, 622–634 (1947).
    [CrossRef]
  5. T. Ando, “Theory of electronic states and transport in carbon nanotubes,” J. Phys. Soc. Jpn. 74, 777–817 (2005).
    [CrossRef]
  6. M. I. Katsnelson, “Zitterbewegung, chirality, and minimal conductivity in graphene,” Eur. Phys. J. B 51, 157–160 (2006).
    [CrossRef]
  7. R. A. Sepkhanov, Ya. B. Bazaliy, and C. W. J. Beenakker, “Extremal transmission at the Dirac point of a photonic band structure,” Phys. Rev. A 75, 063813 (2007).
    [CrossRef]
  8. S. Raghu and F. D. M. Haldane, “Analogs of quantum-Hall-effect edge states in photonic crystals,” Phys. Rev. A 78, 033834 (2008).
    [CrossRef]
  9. X. Zhang and Z. Liu, “Extremal transmission and beating effect of acoustic waves in two-dimensional sonic crystals,” Phys. Rev. Lett. 101, 264303 (2008).
    [CrossRef]
  10. X. D. Zhang, “Demonstration of a new transport regime of photon in two-dimensional photonic crystal,” Phys. Lett. A 372, 3512–3516 (2008).
    [CrossRef]
  11. S. R. Zandbergen and M. J. A. de Dood, “Experimental observation of strong edge effects on the pseudodiffusive transport of light in photonic graphene,” Phys. Rev. Lett. 104, 043903 (2010).
    [CrossRef]
  12. G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
    [CrossRef]
  13. S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
    [CrossRef]
  14. S. Y. Shi, C. H. Chen, and D. W. Prather, “Plane-wave expansion method for calculating band structure of photonic crystal slabs with perfectly matched layers,” J. Opt. Soc. Am. A 21, 1769–1775 (2004).
    [CrossRef]
  15. M. Plihal, A. Shambrook, A. A. Maradudin, and P. Sheng, “Two-dimensional systems: The triangular lattice,” Opt. Commun. 80, 199–204 (1991).
    [CrossRef]
  16. R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Photonic band structure of accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434 (1993).
    [CrossRef]
  17. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 1995).
  18. W. M. Robertson and G. Arjavalingam, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
    [CrossRef]
  19. V. Radisic, Y. X. Qian, R. Coccioli, and T. Itoh, “Novel 2-D photonic bandgap structure for microstrip lines,” IEEE Microwave Guided Wave Lett. 8, 69–71 (1998).
    [CrossRef]

2010 (2)

S. R. Zandbergen and M. J. A. de Dood, “Experimental observation of strong edge effects on the pseudodiffusive transport of light in photonic graphene,” Phys. Rev. Lett. 104, 043903 (2010).
[CrossRef]

S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
[CrossRef]

2009 (2)

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).
[CrossRef]

2008 (4)

C. W. Beenakker, “Colloquium: Andreev reflection and Klein tunneling in graphene,” Rev. Mod. Phys. 80, 1337–1354 (2008).
[CrossRef]

S. Raghu and F. D. M. Haldane, “Analogs of quantum-Hall-effect edge states in photonic crystals,” Phys. Rev. A 78, 033834 (2008).
[CrossRef]

X. Zhang and Z. Liu, “Extremal transmission and beating effect of acoustic waves in two-dimensional sonic crystals,” Phys. Rev. Lett. 101, 264303 (2008).
[CrossRef]

X. D. Zhang, “Demonstration of a new transport regime of photon in two-dimensional photonic crystal,” Phys. Lett. A 372, 3512–3516 (2008).
[CrossRef]

2007 (1)

R. A. Sepkhanov, Ya. B. Bazaliy, and C. W. J. Beenakker, “Extremal transmission at the Dirac point of a photonic band structure,” Phys. Rev. A 75, 063813 (2007).
[CrossRef]

2006 (1)

M. I. Katsnelson, “Zitterbewegung, chirality, and minimal conductivity in graphene,” Eur. Phys. J. B 51, 157–160 (2006).
[CrossRef]

2005 (1)

T. Ando, “Theory of electronic states and transport in carbon nanotubes,” J. Phys. Soc. Jpn. 74, 777–817 (2005).
[CrossRef]

2004 (2)

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

S. Y. Shi, C. H. Chen, and D. W. Prather, “Plane-wave expansion method for calculating band structure of photonic crystal slabs with perfectly matched layers,” J. Opt. Soc. Am. A 21, 1769–1775 (2004).
[CrossRef]

1998 (1)

V. Radisic, Y. X. Qian, R. Coccioli, and T. Itoh, “Novel 2-D photonic bandgap structure for microstrip lines,” IEEE Microwave Guided Wave Lett. 8, 69–71 (1998).
[CrossRef]

1993 (1)

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Photonic band structure of accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434 (1993).
[CrossRef]

1992 (1)

W. M. Robertson and G. Arjavalingam, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef]

1991 (1)

M. Plihal, A. Shambrook, A. A. Maradudin, and P. Sheng, “Two-dimensional systems: The triangular lattice,” Opt. Commun. 80, 199–204 (1991).
[CrossRef]

1947 (1)

P. R. Wallace, “The band theory of graphite,” Phys. Rev. 71, 622–634 (1947).
[CrossRef]

Ando, T.

T. Ando, “Theory of electronic states and transport in carbon nanotubes,” J. Phys. Soc. Jpn. 74, 777–817 (2005).
[CrossRef]

Arjavalingam, G.

W. M. Robertson and G. Arjavalingam, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef]

Bazaliy, Ya. B.

R. A. Sepkhanov, Ya. B. Bazaliy, and C. W. J. Beenakker, “Extremal transmission at the Dirac point of a photonic band structure,” Phys. Rev. A 75, 063813 (2007).
[CrossRef]

Beenakker, C. W.

C. W. Beenakker, “Colloquium: Andreev reflection and Klein tunneling in graphene,” Rev. Mod. Phys. 80, 1337–1354 (2008).
[CrossRef]

Beenakker, C. W. J.

R. A. Sepkhanov, Ya. B. Bazaliy, and C. W. J. Beenakker, “Extremal transmission at the Dirac point of a photonic band structure,” Phys. Rev. A 75, 063813 (2007).
[CrossRef]

Bittner, S.

S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
[CrossRef]

Brommer, K. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Photonic band structure of accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Castro Neto, A. H.

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).
[CrossRef]

Chen, C. H.

Cismaru, A.

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

Coccioli, R.

V. Radisic, Y. X. Qian, R. Coccioli, and T. Itoh, “Novel 2-D photonic bandgap structure for microstrip lines,” IEEE Microwave Guided Wave Lett. 8, 69–71 (1998).
[CrossRef]

de Dood, M. J. A.

S. R. Zandbergen and M. J. A. de Dood, “Experimental observation of strong edge effects on the pseudodiffusive transport of light in photonic graphene,” Phys. Rev. Lett. 104, 043903 (2010).
[CrossRef]

Deligeorgis, G.

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

Dietz, B.

S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
[CrossRef]

Dragoman, D.

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

Dragoman, M.

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

Dubonos, S. V.

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Firsov, A. A.

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Geim, A. K.

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).
[CrossRef]

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Grigorieva, I. V.

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Guinea, F.

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).
[CrossRef]

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 1995).

Haldane, F. D. M.

S. Raghu and F. D. M. Haldane, “Analogs of quantum-Hall-effect edge states in photonic crystals,” Phys. Rev. A 78, 033834 (2008).
[CrossRef]

Itoh, T.

V. Radisic, Y. X. Qian, R. Coccioli, and T. Itoh, “Novel 2-D photonic bandgap structure for microstrip lines,” IEEE Microwave Guided Wave Lett. 8, 69–71 (1998).
[CrossRef]

Jiang, D.

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Joannopoulos, J. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Photonic band structure of accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Katsnelson, M. I.

M. I. Katsnelson, “Zitterbewegung, chirality, and minimal conductivity in graphene,” Eur. Phys. J. B 51, 157–160 (2006).
[CrossRef]

Konstantinidis, G.

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

Liu, Z.

X. Zhang and Z. Liu, “Extremal transmission and beating effect of acoustic waves in two-dimensional sonic crystals,” Phys. Rev. Lett. 101, 264303 (2008).
[CrossRef]

Maradudin, A. A.

M. Plihal, A. Shambrook, A. A. Maradudin, and P. Sheng, “Two-dimensional systems: The triangular lattice,” Opt. Commun. 80, 199–204 (1991).
[CrossRef]

Meade, R. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Photonic band structure of accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Miski-Oglu, M.

S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
[CrossRef]

Morozov, S. V.

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Neculoiu, D.

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

Novoselov, K. S.

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).
[CrossRef]

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Oria Iriarte, P.

S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
[CrossRef]

Peres, N. M. R.

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).
[CrossRef]

Plana, R.

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

Plihal, M.

M. Plihal, A. Shambrook, A. A. Maradudin, and P. Sheng, “Two-dimensional systems: The triangular lattice,” Opt. Commun. 80, 199–204 (1991).
[CrossRef]

Prather, D. W.

Qian, Y. X.

V. Radisic, Y. X. Qian, R. Coccioli, and T. Itoh, “Novel 2-D photonic bandgap structure for microstrip lines,” IEEE Microwave Guided Wave Lett. 8, 69–71 (1998).
[CrossRef]

Radisic, V.

V. Radisic, Y. X. Qian, R. Coccioli, and T. Itoh, “Novel 2-D photonic bandgap structure for microstrip lines,” IEEE Microwave Guided Wave Lett. 8, 69–71 (1998).
[CrossRef]

Raghu, S.

S. Raghu and F. D. M. Haldane, “Analogs of quantum-Hall-effect edge states in photonic crystals,” Phys. Rev. A 78, 033834 (2008).
[CrossRef]

Rappe, A. M.

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Photonic band structure of accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Richter, A.

S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
[CrossRef]

Robertson, W. M.

W. M. Robertson and G. Arjavalingam, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef]

Schäfer, F.

S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
[CrossRef]

Sepkhanov, R. A.

R. A. Sepkhanov, Ya. B. Bazaliy, and C. W. J. Beenakker, “Extremal transmission at the Dirac point of a photonic band structure,” Phys. Rev. A 75, 063813 (2007).
[CrossRef]

Shambrook, A.

M. Plihal, A. Shambrook, A. A. Maradudin, and P. Sheng, “Two-dimensional systems: The triangular lattice,” Opt. Commun. 80, 199–204 (1991).
[CrossRef]

Sheng, P.

M. Plihal, A. Shambrook, A. A. Maradudin, and P. Sheng, “Two-dimensional systems: The triangular lattice,” Opt. Commun. 80, 199–204 (1991).
[CrossRef]

Shi, S. Y.

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 1995).

Wallace, P. R.

P. R. Wallace, “The band theory of graphite,” Phys. Rev. 71, 622–634 (1947).
[CrossRef]

Zandbergen, S. R.

S. R. Zandbergen and M. J. A. de Dood, “Experimental observation of strong edge effects on the pseudodiffusive transport of light in photonic graphene,” Phys. Rev. Lett. 104, 043903 (2010).
[CrossRef]

Zhang, X.

X. Zhang and Z. Liu, “Extremal transmission and beating effect of acoustic waves in two-dimensional sonic crystals,” Phys. Rev. Lett. 101, 264303 (2008).
[CrossRef]

Zhang, X. D.

X. D. Zhang, “Demonstration of a new transport regime of photon in two-dimensional photonic crystal,” Phys. Lett. A 372, 3512–3516 (2008).
[CrossRef]

Zhang, Y.

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Appl. Phys. Lett. (1)

G. Deligeorgis, M. Dragoman, D. Neculoiu, D. Dragoman, G. Konstantinidis, A. Cismaru, and R. Plana, “Microwave propagation in graphene,” Appl. Phys. Lett. 95, 073107 (2009).
[CrossRef]

Eur. Phys. J. B (1)

M. I. Katsnelson, “Zitterbewegung, chirality, and minimal conductivity in graphene,” Eur. Phys. J. B 51, 157–160 (2006).
[CrossRef]

IEEE Microwave Guided Wave Lett. (1)

V. Radisic, Y. X. Qian, R. Coccioli, and T. Itoh, “Novel 2-D photonic bandgap structure for microstrip lines,” IEEE Microwave Guided Wave Lett. 8, 69–71 (1998).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Phys. Soc. Jpn. (1)

T. Ando, “Theory of electronic states and transport in carbon nanotubes,” J. Phys. Soc. Jpn. 74, 777–817 (2005).
[CrossRef]

Opt. Commun. (1)

M. Plihal, A. Shambrook, A. A. Maradudin, and P. Sheng, “Two-dimensional systems: The triangular lattice,” Opt. Commun. 80, 199–204 (1991).
[CrossRef]

Phys. Lett. A (1)

X. D. Zhang, “Demonstration of a new transport regime of photon in two-dimensional photonic crystal,” Phys. Lett. A 372, 3512–3516 (2008).
[CrossRef]

Phys. Rev. (1)

P. R. Wallace, “The band theory of graphite,” Phys. Rev. 71, 622–634 (1947).
[CrossRef]

Phys. Rev. A (2)

R. A. Sepkhanov, Ya. B. Bazaliy, and C. W. J. Beenakker, “Extremal transmission at the Dirac point of a photonic band structure,” Phys. Rev. A 75, 063813 (2007).
[CrossRef]

S. Raghu and F. D. M. Haldane, “Analogs of quantum-Hall-effect edge states in photonic crystals,” Phys. Rev. A 78, 033834 (2008).
[CrossRef]

Phys. Rev. B (2)

S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schäfer, “Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene,” Phys. Rev. B 82, 014301 (2010).
[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Photonic band structure of accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434 (1993).
[CrossRef]

Phys. Rev. Lett. (3)

W. M. Robertson and G. Arjavalingam, “Measurement of photonic band structure in a two-dimensional periodic dielectric array,” Phys. Rev. Lett. 68, 2023–2026 (1992).
[CrossRef]

S. R. Zandbergen and M. J. A. de Dood, “Experimental observation of strong edge effects on the pseudodiffusive transport of light in photonic graphene,” Phys. Rev. Lett. 104, 043903 (2010).
[CrossRef]

X. Zhang and Z. Liu, “Extremal transmission and beating effect of acoustic waves in two-dimensional sonic crystals,” Phys. Rev. Lett. 101, 264303 (2008).
[CrossRef]

Rev. Mod. Phys. (2)

A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, “The electronic properties of graphene,” Rev. Mod. Phys. 81, 109–162 (2009).
[CrossRef]

C. W. Beenakker, “Colloquium: Andreev reflection and Klein tunneling in graphene,” Rev. Mod. Phys. 80, 1337–1354 (2008).
[CrossRef]

Science (1)

K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, “Electric field effect in atomically thin carbon films,” Science 306, 666–669 (2004).
[CrossRef]

Other (1)

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 1995).

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Figures (6)

Fig. 1.
Fig. 1.

(a) Structure diagram of the GCPW and (b) the distributions of the electric field and the magnetic field.

Fig. 2.
Fig. 2.

Photograph of the 2D PCs, showing a triangular lattice of air holes in the dielectric, with lattice constant a and radius 0.35a. In both cases, the relative dielectric constant of the high dielectric material is 10.2.

Fig. 3.
Fig. 3.

(a) Calculated PBS of the TE wave for a triangular lattice of the air cylinder with R=0.35a and ε=10.2 of the background material. (b) Hexagonal first Brillouin zone of the photonic graphene slab.

Fig. 4.
Fig. 4.

Transmission coefficient for the samples with different lengths L in the ΓK direction. The different color solid curves correspond to the results with different L.

Fig. 5.
Fig. 5.

(a) Simulation structure of field mode, (b) field mode of the first energy band (f=0.15137), and (c) field mode of the second energy band (f=0.373197).

Fig. 6.
Fig. 6.

Transmission coefficient of EM wave along the ΓK direction. The length of the PC slab is 144 mm.

Equations (1)

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(0iυD(xiy)iυD(x+iy)0)(Ψ1Ψ2)=(ωωD)(Ψ1Ψ2),

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