Abstract

The paper presents theoretical and experimental results on photonic crystal structures which work under the self-collimation condition to couple free space waves into dielectric slabs in the sub-terahertz range. Using a standard machining process, two-dimensional photonic crystal structures consisting of a square array of air holes in the dielectric medium are fabricated. One of the structures has two adjacent parallel line-defects that improve the coupling efficiency. This leads to a combination of self-collimation and directional emission of electromagnetic waves. The experimental results are in good agreement with those of the Finite-Element-Method calculations. Experimentally we achieve a coupling efficiency of 63%.

© 2008 Optical Society of America

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    [CrossRef]
  25. www.comsol.com

2007 (2)

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Yu. Zhang, Ya. Zhang, and B. Li, "Highly-efficient directional emission from photonic crystal waveguides for coupling of freely propagated terahertz waves into Si slab waveguides," Opt. Express 15, 9281 (2007).
[CrossRef] [PubMed]

2006 (4)

D. Tang, L. Chen, and W. Ding, "Efficient beaming from photonic crystal waveguides via self-collimation effect," Appl. Phys. Lett. 89, 131120 (2006).
[CrossRef]

C. C. Chen, T. Pertsch, R. Iliew, F. Lederer, and A. Tünnermann, "Directional emission from photonic crystal waveguides," Opt. Express 14, 2423 (2006).
[CrossRef] [PubMed]

R. Meisels, R. Gaji??c, F. Kuchar, and K. Hingerl, "Negative refraction and flat-lens focusing in a 2D square-lattice photonic crystal at microwave and millimeter wave frequencies," Opt. Express 14, 6766 (2006).
[CrossRef] [PubMed]

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 (2006).
[CrossRef] [PubMed]

2005 (5)

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

T. Yamashita and C. J. Summers, "Evaluation of self-collimated beams in photonic crystals for optical interconnect," IEEE J. Sel. Areas Commun. 23, 1341 (2005).
[CrossRef]

S. K. Morrison and Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides," Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

S. K. Morrison and Y. S. Kivshar, "Beaming effect from increased-index photonic crystal waveguides," Appl. Phys. B 81,343 (2005).
[CrossRef]

H. Kurt and D. S. Citrin, "Photonic crystals for biochemical sensing in the terahertz region," Appl. Phys. Lett. 87, 041108 (2005).
[CrossRef]

2004 (4)

E. Moreno, F. J. García-Vidal, and L. Martín-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. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

M. Shahabadi, S. Atakaramians, and N. Hojjat, "Transmission line formulation for the full-wave analysis of two-dimensional dielectric photonic crystals," IEEE Proc. Sci. Meas. Tech. 151, 327 (2004).
[CrossRef]

2003 (1)

2002 (3)

J. Witzens, M. Loncar, and A. Scherer, "Self-collimation in planar photonic crystals," IEEE J. Sel. Top. Quantum Electron. 8,1246 (2002).
[CrossRef]

M. Imdada, S. Noda, A. Chutinan, M. Mochizuk, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," J. Lightwave Technol. 20, 873 (2002).
[CrossRef]

H. Y. Ryu, H. G. Park, and Y. H. Lee, "Two-dimensional photonic crystal semiconductor lasers: computational design, fabrication, and characterization," IEEE J. Sel. Top. Quantum Electron. 8, 891 (2002).
[CrossRef]

2000 (1)

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

1999 (1)

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," J. Phys. Rev. B 60, 5751 (1999).
[CrossRef]

1994 (1)

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, ????Novel applications of photonic bandgap materials: Low-loss bends and high-Q cavities,???? Appl. Phys. 75, 4753 (1994).

Agio, M.

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

Alerhand, O. L.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, ????Novel applications of photonic bandgap materials: Low-loss bends and high-Q cavities,???? Appl. Phys. 75, 4753 (1994).

Anhand, S.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Atakaramians, S.

M. Shahabadi, S. Atakaramians, and N. Hojjat, "Transmission line formulation for the full-wave analysis of two-dimensional dielectric photonic crystals," IEEE Proc. Sci. Meas. Tech. 151, 327 (2004).
[CrossRef]

Augustin, M.

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

Berrier, A.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Birner, A.

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

Chen, C.

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Chen, C. C.

Chen, L.

D. Tang, L. Chen, and W. Ding, "Efficient beaming from photonic crystal waveguides via self-collimation effect," Appl. Phys. Lett. 89, 131120 (2006).
[CrossRef]

Chutinan, A.

M. Imdada, S. Noda, A. Chutinan, M. Mochizuk, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," J. Lightwave Technol. 20, 873 (2002).
[CrossRef]

Citrin, D. S.

H. Kurt and D. S. Citrin, "Photonic crystals for biochemical sensing in the terahertz region," Appl. Phys. Lett. 87, 041108 (2005).
[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 (2006).
[CrossRef] [PubMed]

Devenyi, A.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, ????Novel applications of photonic bandgap materials: Low-loss bends and high-Q cavities,???? Appl. Phys. 75, 4753 (1994).

Ding, W.

D. Tang, L. Chen, and W. Ding, "Efficient beaming from photonic crystal waveguides via self-collimation effect," Appl. Phys. Lett. 89, 131120 (2006).
[CrossRef]

Etrich, C.

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

Fan, S.

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," J. Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Fuchs, H. J.

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

García-Vidal, F. J.

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

Gösele, U.

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

Hojjat, N.

M. Shahabadi, S. Atakaramians, and N. Hojjat, "Transmission line formulation for the full-wave analysis of two-dimensional dielectric photonic crystals," IEEE Proc. Sci. Meas. Tech. 151, 327 (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 (2006).
[CrossRef] [PubMed]

Iliew, R.

C. C. Chen, T. Pertsch, R. Iliew, F. Lederer, and A. Tünnermann, "Directional emission from photonic crystal waveguides," Opt. Express 14, 2423 (2006).
[CrossRef] [PubMed]

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

Imdada, M.

M. Imdada, S. Noda, A. Chutinan, M. Mochizuk, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," J. Lightwave Technol. 20, 873 (2002).
[CrossRef]

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 (2006).
[CrossRef] [PubMed]

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 (2006).
[CrossRef] [PubMed]

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," J. Phys. Rev. B 60, 5751 (1999).
[CrossRef]

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, ????Novel applications of photonic bandgap materials: Low-loss bends and high-Q cavities,???? Appl. Phys. 75, 4753 (1994).

Johnson, S. G.

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," J. Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Kash, K.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, ????Novel applications of photonic bandgap materials: Low-loss bends and high-Q cavities,???? Appl. Phys. 75, 4753 (1994).

Kivshar, Y. S.

S. K. Morrison and Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides," Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

S. K. Morrison and Y. S. Kivshar, "Beaming effect from increased-index photonic crystal waveguides," Appl. Phys. B 81,343 (2005).
[CrossRef]

Kley, E. B.

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[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 (2006).
[CrossRef] [PubMed]

Kramper, P.

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

Krauss, T. F.

Kurt, H.

H. Kurt and D. S. Citrin, "Photonic crystals for biochemical sensing in the terahertz region," Appl. Phys. Lett. 87, 041108 (2005).
[CrossRef]

Lederer, F.

C. C. Chen, T. Pertsch, R. Iliew, F. Lederer, and A. Tünnermann, "Directional emission from photonic crystal waveguides," Opt. Express 14, 2423 (2006).
[CrossRef] [PubMed]

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

Lee, Y. H.

H. Y. Ryu, H. G. Park, and Y. H. Lee, "Two-dimensional photonic crystal semiconductor lasers: computational design, fabrication, and characterization," IEEE J. Sel. Top. Quantum Electron. 8, 891 (2002).
[CrossRef]

Li, B.

Loncar, M.

J. Witzens, M. Loncar, and A. Scherer, "Self-collimation in planar photonic crystals," IEEE J. Sel. Top. Quantum Electron. 8,1246 (2002).
[CrossRef]

Martin, R.

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Martín-Moreno, L.

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

Mazilu, M.

Meade, R. D.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, ????Novel applications of photonic bandgap materials: Low-loss bends and high-Q cavities,???? Appl. Phys. 75, 4753 (1994).

Meisels, R.

Miao, B.

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Mochizuk, M.

M. Imdada, S. Noda, A. Chutinan, M. Mochizuk, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," J. Lightwave Technol. 20, 873 (2002).
[CrossRef]

Moreno, E.

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

Morrison, S. K.

S. K. Morrison and Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides," Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

S. K. Morrison and Y. S. Kivshar, "Beaming effect from increased-index photonic crystal waveguides," Appl. Phys. B 81,343 (2005).
[CrossRef]

Müller, F.

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

Mulot, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Murakowski, J.

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Noda, S.

M. Imdada, S. Noda, A. Chutinan, M. Mochizuk, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," J. Lightwave Technol. 20, 873 (2002).
[CrossRef]

Nolte, S.

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

Notomi, M.

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

Park, H. G.

H. Y. Ryu, H. G. Park, and Y. H. Lee, "Two-dimensional photonic crystal semiconductor lasers: computational design, fabrication, and characterization," IEEE J. Sel. Top. Quantum Electron. 8, 891 (2002).
[CrossRef]

Pertsch, T.

Peschel, U.

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[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 (2006).
[CrossRef] [PubMed]

Prather, D. W.

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Qiu, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

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 (2006).
[CrossRef] [PubMed]

Ryu, H. Y.

H. Y. Ryu, H. G. Park, and Y. H. Lee, "Two-dimensional photonic crystal semiconductor lasers: computational design, fabrication, and characterization," IEEE J. Sel. Top. Quantum Electron. 8, 891 (2002).
[CrossRef]

Sandoghdar, V.

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

Schelle, D.

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

Scherer, A.

J. Witzens, M. Loncar, and A. Scherer, "Self-collimation in planar photonic crystals," IEEE J. Sel. Top. Quantum Electron. 8,1246 (2002).
[CrossRef]

Schneider, G. J.

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Shahabadi, M.

M. Shahabadi, S. Atakaramians, and N. Hojjat, "Transmission line formulation for the full-wave analysis of two-dimensional dielectric photonic crystals," IEEE Proc. Sci. Meas. Tech. 151, 327 (2004).
[CrossRef]

Sharkawy, A.

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Shi, S.

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

Smith, D. A.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, ????Novel applications of photonic bandgap materials: Low-loss bends and high-Q cavities,???? Appl. Phys. 75, 4753 (1994).

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 (2006).
[CrossRef] [PubMed]

Soukoulis, C. M.

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

Summers, C. J.

T. Yamashita and C. J. Summers, "Evaluation of self-collimated beams in photonic crystals for optical interconnect," IEEE J. Sel. Areas Commun. 23, 1341 (2005).
[CrossRef]

Swillo, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Talneau, A.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Tanaka, T.

M. Imdada, S. Noda, A. Chutinan, M. Mochizuk, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," J. Lightwave Technol. 20, 873 (2002).
[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 (2006).
[CrossRef] [PubMed]

Tang, D.

D. Tang, L. Chen, and W. Ding, "Efficient beaming from photonic crystal waveguides via self-collimation effect," Appl. Phys. Lett. 89, 131120 (2006).
[CrossRef]

Thylen, L.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Tunnermann, A.

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

Tünnermann, A.

Villeneuve, P. R.

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," J. Phys. Rev. B 60, 5751 (1999).
[CrossRef]

Wehrspohn, R. B.

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

Witzens, J.

J. Witzens, M. Loncar, and A. Scherer, "Self-collimation in planar photonic crystals," IEEE J. Sel. Top. Quantum Electron. 8,1246 (2002).
[CrossRef]

Wu, L.

Yamashita, T.

T. Yamashita and C. J. Summers, "Evaluation of self-collimated beams in photonic crystals for optical interconnect," IEEE J. Sel. Areas Commun. 23, 1341 (2005).
[CrossRef]

Zhang, Ya.

Zhang, Yu.

Appl. Phys. (1)

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith, and K. Kash, ????Novel applications of photonic bandgap materials: Low-loss bends and high-Q cavities,???? Appl. Phys. 75, 4753 (1994).

Appl. Phys. B (2)

S. K. Morrison and Y. S. Kivshar, "Beaming effect from increased-index photonic crystal waveguides," Appl. Phys. B 81,343 (2005).
[CrossRef]

M. Augustin, R. Iliew, C. Etrich, D. Schelle, H. J. Fuchs, U. Peschel, S. Nolte, E. B. Kley, F. Lederer, and A. Tunnermann, "Self-guiding of infrared and visible light in photonic crystal slabs," Appl. Phys. B 81313 (2005).
[CrossRef]

Appl. Phys. Lett. (3)

D. Tang, L. Chen, and W. Ding, "Efficient beaming from photonic crystal waveguides via self-collimation effect," Appl. Phys. Lett. 89, 131120 (2006).
[CrossRef]

H. Kurt and D. S. Citrin, "Photonic crystals for biochemical sensing in the terahertz region," Appl. Phys. Lett. 87, 041108 (2005).
[CrossRef]

S. K. Morrison and Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides," Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

IEEE J. Sel. Areas Commun. (1)

T. Yamashita and C. J. Summers, "Evaluation of self-collimated beams in photonic crystals for optical interconnect," IEEE J. Sel. Areas Commun. 23, 1341 (2005).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (2)

H. Y. Ryu, H. G. Park, and Y. H. Lee, "Two-dimensional photonic crystal semiconductor lasers: computational design, fabrication, and characterization," IEEE J. Sel. Top. Quantum Electron. 8, 891 (2002).
[CrossRef]

J. Witzens, M. Loncar, and A. Scherer, "Self-collimation in planar photonic crystals," IEEE J. Sel. Top. Quantum Electron. 8,1246 (2002).
[CrossRef]

IEEE Proc. Sci. Meas. Tech. (1)

M. Shahabadi, S. Atakaramians, and N. Hojjat, "Transmission line formulation for the full-wave analysis of two-dimensional dielectric photonic crystals," IEEE Proc. Sci. Meas. Tech. 151, 327 (2004).
[CrossRef]

J. Lightwave Technol. (2)

L. Wu, M. Mazilu, and T. F. Krauss, "Beam steering in planar-photonic crystals: from superprism to supercollimator," J. Lightwave Technol. 21, 561 (2003).
[CrossRef]

M. Imdada, S. Noda, A. Chutinan, M. Mochizuk, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," J. Lightwave Technol. 20, 873 (2002).
[CrossRef]

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

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, " Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D: Appl. Phys. 40, 2635 (2007).
[CrossRef]

J. Phys. Rev. B (1)

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," J. Phys. Rev. B 60, 5751 (1999).
[CrossRef]

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 (2006).
[CrossRef] [PubMed]

Opt. Express (3)

Phys. Rev. B (2)

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

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

Phys. Rev. Lett. (2)

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

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylen, A. Talneau, and S. Anhand, "Negative refraction at infrared wavelength in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Other (3)

A. Rumberg, E. Dörner and M. Berroth, "Focusing by negative-index Effect in two-dimensional photonic crystals in a high-index-contrast material system," Proc. 36th European Microwave Conf., 784 (2006).

K. Busch, S. Lolkes, R. B. Wehrspohn, and H. Foll Trigt, in Photonic Crystals: advances in design, fabrication, and characterization, (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2004).
[CrossRef]

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Figures (6)

Fig. 1.
Fig. 1.

(a). PC slab. (b). Electric field distribution in the PC slab.

Fig. 2.
Fig. 2.

The equifrequency contours of the second band of the PC for TM polarization.

Fig. 3.
Fig. 3.

(a). PC waveguide with two line defects. (b). Electric field distribution in the PC waveguide.

Fig. 4.
Fig. 4.

Simulated normalized transmission versus frequency for the three structures studied.

Fig. 5.
Fig. 5.

The experimental setup.

Fig. 6.
Fig. 6.

Measured normalized transmission versus frequency for the three structures studied.

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