Abstract

When a wave impinges obliquely to the interface of a Photonic Crystal (PhC), the wave can be completely reflected in counter-propagating direction instead of the usually expected specular direction. However the beam is totally specularly reflected with a simple modification of the surface termination. The analysis of the time average Poynting vector evidences that PhC termination modifies the energy flow and determines the reflection properties.

© 2007 Optical Society of America

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    [CrossRef] [PubMed]
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2006 (4)

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

E. Istrate and E. H. Sargent, "Photonic crystal heterostructures and interfaces," Rev. Mod. Phys. 78, 455-481 (2006).
[CrossRef]

P. A. Belov and C. R. Simovski, "Boundary conditions for interfaces of electromagnetic crystals and the generalized Ewald-Oseen extinction principle," Phys. Rev. B 73, 045102 (2006).
[CrossRef]

K. O’Holleran, M. Padgett, M. R. Tennis, "Topology of optical vortex lines formed by three, four, and five plane waves," Opt. Express 14, 3039-3041 (2006).
[CrossRef] [PubMed]

2005 (3)

B. T. Schwartz, "Dynamic properties of photonic crystals and their effective refractive index," J. Opt. Soc. Am. B 22, 2018-2026 (2005).
[CrossRef]

X. D. Zhang, "Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens," Phys. Rev. B. 71, 165116 (2005).
[CrossRef]

A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystals: Role of lattice orientation and interface termination," Phys. Rev. B. 71, 235115 (2005).
[CrossRef]

2004 (4)

E. Moreno, F. J. Garcia-Vidal, and L. Martin-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B. 69, 121402 (2004).
[CrossRef]

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

S. S. Xiao, M. Qiu, Z. C. Ruan, and S. L. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85,4269-4271 (2004).
[CrossRef]

Y. A. Vlasov, N. Moll, and S. J. McNab, "Observation of surface states in a truncated photonic crystal slab," Opt. Lett. 29, 2175-2177 (2004).
[CrossRef] [PubMed]

2003 (3)

D. Felbacq and R , Smaâli, "Density of states for finite photonic crystals," Phys. Rev. B 67, 085105 (2003).
[CrossRef]

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

H. Takeda and K. Yoshino, "Tunable refraction effects in 2D photonic crystals utilizing liquid crystals," Phys. Rev. E 67, 056607 (2003).
[CrossRef]

2001 (1)

2000 (1)

M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10696-10705 (2000).
[CrossRef]

1999 (1)

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: Effect of the position of the surface plane," Phys. Rev. B. 59, 15112-15120 (1999).
[CrossRef]

1998 (1)

1995 (1)

K. Sakoda, "Transmittance and Bragg reflectivity of two-dimensional photonic lattices," Phys. Rev. B 52, 8992-9002 (1995).
[CrossRef]

1993 (1)

1992 (1)

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1992).
[CrossRef]

Agio, M.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Arjavalingam, G.

Belov, P. A.

P. A. Belov and C. R. Simovski, "Boundary conditions for interfaces of electromagnetic crystals and the generalized Ewald-Oseen extinction principle," Phys. Rev. B 73, 045102 (2006).
[CrossRef]

Birner, A.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Bozhkov, B.

Brommer, K. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Observation of Surface Photons on Periodic Dielectric Arrays," Opt. Lett. 18, 528-530 (1993).
[CrossRef] [PubMed]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1992).
[CrossRef]

Busch, K.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Dahlem, M. S.

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Diem, M.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Felbacq, D.

D. Felbacq and R , Smaâli, "Density of states for finite photonic crystals," Phys. Rev. B 67, 085105 (2003).
[CrossRef]

Garcia-Martin, A.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Garcia-Vidal, F. J.

E. Moreno, F. J. Garcia-Vidal, and L. Martin-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B. 69, 121402 (2004).
[CrossRef]

Gosele, U.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Gösele, U.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Halevi, P.

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: Effect of the position of the surface plane," Phys. Rev. B. 59, 15112-15120 (1999).
[CrossRef]

Haus, J. W.

He, S. L.

S. S. Xiao, M. Qiu, Z. C. Ruan, and S. L. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85,4269-4271 (2004).
[CrossRef]

Ibanescu, M.

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Ippen, E. P.

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Istrate, E.

E. Istrate and E. H. Sargent, "Photonic crystal heterostructures and interfaces," Rev. Mod. Phys. 78, 455-481 (2006).
[CrossRef]

Joannopoulos, J. D.

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Observation of Surface Photons on Periodic Dielectric Arrays," Opt. Lett. 18, 528-530 (1993).
[CrossRef] [PubMed]

Joannopulos, J. D.

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1992).
[CrossRef]

Koch, W.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Kolodziejski, L. A.

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Kramper, P.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Marti, J.

A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystals: Role of lattice orientation and interface termination," Phys. Rev. B. 71, 235115 (2005).
[CrossRef]

Martinez, A.

A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystals: Role of lattice orientation and interface termination," Phys. Rev. B. 71, 235115 (2005).
[CrossRef]

Martin-Moreno, L.

E. Moreno, F. J. Garcia-Vidal, and L. Martin-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B. 69, 121402 (2004).
[CrossRef]

McNab, S. J.

Meade, R. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Observation of Surface Photons on Periodic Dielectric Arrays," Opt. Lett. 18, 528-530 (1993).
[CrossRef] [PubMed]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1992).
[CrossRef]

Meisel, D. C.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Moll, N.

Moreno, E.

E. Moreno, F. J. Garcia-Vidal, and L. Martin-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B. 69, 121402 (2004).
[CrossRef]

Muller, F.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Nevière, M.

Notomi, M.

M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10696-10705 (2000).
[CrossRef]

O’Holleran, K.

Padgett, M.

Pereira, S.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Petrich, G. S.

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Popov, E.

Qiu, M.

S. S. Xiao, M. Qiu, Z. C. Ruan, and S. L. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85,4269-4271 (2004).
[CrossRef]

Rakich, P. T

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Ramos-Mendieta, F.

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: Effect of the position of the surface plane," Phys. Rev. B. 59, 15112-15120 (1999).
[CrossRef]

Rappe, A. M.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Observation of Surface Photons on Periodic Dielectric Arrays," Opt. Lett. 18, 528-530 (1993).
[CrossRef] [PubMed]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961-10964 (1992).
[CrossRef]

Robertson, W. M.

Ruan, Z. C.

S. S. Xiao, M. Qiu, Z. C. Ruan, and S. L. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85,4269-4271 (2004).
[CrossRef]

Sakoda, K.

Z. Y. Yuan, J. W. Haus, and K. Sakoda, "Eigenmode symmetry for simple cubic lattices and the transmission spectra," Opt. Express 3, 19-27 (1998).
[CrossRef] [PubMed]

K. Sakoda, "Transmittance and Bragg reflectivity of two-dimensional photonic lattices," Phys. Rev. B 52, 8992-9002 (1995).
[CrossRef]

Sandoghdar, V.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Sargent, E. H.

E. Istrate and E. H. Sargent, "Photonic crystal heterostructures and interfaces," Rev. Mod. Phys. 78, 455-481 (2006).
[CrossRef]

Schilling, J.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Schwartz, B. T.

Simovski, C. R.

P. A. Belov and C. R. Simovski, "Boundary conditions for interfaces of electromagnetic crystals and the generalized Ewald-Oseen extinction principle," Phys. Rev. B 73, 045102 (2006).
[CrossRef]

Smaâli, R

D. Felbacq and R , Smaâli, "Density of states for finite photonic crystals," Phys. Rev. B 67, 085105 (2003).
[CrossRef]

Soljacic, M.

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Soukoulis, C. M.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Takeda, H.

H. Takeda and K. Yoshino, "Tunable refraction effects in 2D photonic crystals utilizing liquid crystals," Phys. Rev. E 67, 056607 (2003).
[CrossRef]

Tandon, S.

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Tennis, M. R.

Vlasov, Y. A.

von Freymanna, G.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Wegener, M.

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

Wehrspohn, R. B.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

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S. S. Xiao, M. Qiu, Z. C. Ruan, and S. L. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85,4269-4271 (2004).
[CrossRef]

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H. Takeda and K. Yoshino, "Tunable refraction effects in 2D photonic crystals utilizing liquid crystals," Phys. Rev. E 67, 056607 (2003).
[CrossRef]

Yuan, Z. Y.

Zhang, X. D.

X. D. Zhang, "Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens," Phys. Rev. B. 71, 165116 (2005).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

S. S. Xiao, M. Qiu, Z. C. Ruan, and S. L. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85,4269-4271 (2004).
[CrossRef]

G. von Freymanna, W. Koch, D. C. Meisel, M. Wegener, M. Diem, A. Garcia-Martin, S. Pereira, K. Busch, J. Schilling, R. B. Wehrspohn, and U. Gösele, " Diffraction properties of two-dimensional photonic crystals," Appl. Phys. Lett. 83, 614-616 (2003).
[CrossRef]

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

Nat. Mater. (1)

P. T Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nat. Mater. 5,93-96 (2006).
[CrossRef] [PubMed]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. B (5)

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[CrossRef]

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[CrossRef]

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X. D. Zhang, "Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens," Phys. Rev. B. 71, 165116 (2005).
[CrossRef]

A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystals: Role of lattice orientation and interface termination," Phys. Rev. B. 71, 235115 (2005).
[CrossRef]

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[CrossRef]

Phys. Rev. E (1)

H. Takeda and K. Yoshino, "Tunable refraction effects in 2D photonic crystals utilizing liquid crystals," Phys. Rev. E 67, 056607 (2003).
[CrossRef]

Phys. Rev. Lett. (1)

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muller, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

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[CrossRef]

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Supplementary Material (2)

» Media 1: MOV (2582 KB)     
» Media 2: MOV (3137 KB)     

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Figures (5)

Fig. 1.
Fig. 1.

(a). Direct space elementary cell of the hexagonal lattice with position of two surface terminations used in this paper: on the limit of elementary cell, position 1, or in the middle of the air hole, position 2. (b) The reciprocal space with the first Brillouin zone (dotted), the incident and the specular reflected wavevectors across the circle (dashed blue) which represent the dispersion surface in silicon centered in the Γ point (0,0) of the reciprocal lattice. Red dotted circle represent the dispersion surface centered in points (1,1).

Fig. 2.
Fig. 2.

Partial gaps along MM’ as a function of the hole radius. The eyes line is in correspondence of the frequency ωn =0.289 (a). The correspondent EFS for r/a=0.31. The blue circle are EFS corresponding to the first band (0 corresponds to the lowest valence band), whereas green EFS correspond to the second band are located around the K points (b).

Fig. 3.
Fig. 3.

(2.52 Mb) Movie versus time of FDTD simulation for TM polarization of an incident wave-packet modulated by Gaussian transversal profile (σ=15a) and a Gaussian longitudinal length (σ=12/λ) for a surface termination, with reference to Fig. 1, as in position 1, i.e. no cut in holes (a) and in position 2, i.e. holes cut exactly in the middle (b). [Media 1]

Fig. 4.
Fig. 4.

Time average Poynting vector close to the interface between the PhC (air-holes are colored in magenta), in the upper part of figure, and the external homogenous silicon (red color). When the PhC is terminated without any holes cut the vortexes generated inside are preserved also outside the PhC (a). When the PhC is terminated in the middle of holes, where the energy flux is parallel to the interface this is preserved in the external silicon, enhancing the specular reflected beam (b).

Fig. 5.
Fig. 5.

(3.07 Mb) Movie versus time of FDTD simulation for TM polarization of an incident plane wave modulated by Gaussian transversal profile (σ=15a) for a surface termination as in position 1 of Fig. 1, i.e. no cut in holes. [Media 2]

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