R. Gajić, Ɖ. Jovanović, K. Hingerl, R. Meisels, and F. Kuchar, “2D photonic crystals on the archimedean lattices tribute to Johannes Kepler (1571–1630),” Opt. Mater. 30, 1065 (2008).

[CrossRef]

R. Gajić, R. Meisels, F. Kuchar, Ɖ. Jovanović, and K. Hingerl, “Negative refraction and left-handedness in 2D Archimedean lattice photonic crystals,” Mater. Sci. Forum 555, 83–88 (2007).

[CrossRef]

K. Ueda, T. Dotera, and T. Gemma , “ Photonic band structure calculations of two-dimensional Archimedean tiling patterns ,” Phys. Rev. B 75, 195122 (2007).

[CrossRef]

L. Moretti and V. Mocella, “Two-dimensional photonic aperiodic crystals based on Thue-Morse sequence,” Opt. Express 15, 15314 (2007).

[CrossRef]
[PubMed]

A. David, T. Fujii, E. Matioli, R. Sharma, S. Nakamura, and H. Benisty“, GaN light-emitting diodes with Archimedean lattice photonic crystals,” Appl. Phys. Lett. 88, 073510 (2006).

[CrossRef]

C. Rockstuhl, U. Peschel, and F. Lederer, “Correlation between single-cylinder properties and bandgap formation in photonic structures,” Opt. Lett. 31, 1741 (2006).

[CrossRef]
[PubMed]

R. Meisels, R. Gajic, 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, 6766–6777 (2006).

[CrossRef]
[PubMed]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “All-angle left-handed negative refraction in Kagom and honeycomb lattice photonic crystals,” Phys. Rev. B 73165310 (2006)

[CrossRef]

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

B. P. Hiett, D. H. Beckett, S. J. Cox, J. M. Generowicz, M. Molinari, and K. S Thomas, “Photonic band gaps in 12-fold symmetric quasicrystals,” J. Mater. Sci.: Mater. Electron. 12, 413–416 (2003).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Negative Refraction by Photonic Crystals,” Nature 423, 604 (2003).

[CrossRef]
[PubMed]

S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, “Refraction in media with a negative refraction index,” Phys. Rev. Lett. 90, 107402 (2003).

[CrossRef]
[PubMed]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]
[PubMed]

V. G. Veselago, “Electrodynamics of materials with negative index of refraction,” Uspekhi Fiz. Nauk 173, 790–794 (2003).

[CrossRef]

M. Notomi, “Negative refraction in photonic crystals,” Opt. Quantum Electron. 34, 133–143 (2002).

[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104 (2002).

[CrossRef]

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

[CrossRef]
[PubMed]

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]

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

[CrossRef]
[PubMed]

S. David, A. Chelnokov, and J. M. Lourtioz, “Wide angularly isotropic photonic bandgaps obtained from two-dimensional photonic crystals with Archimedean-like tilings,” Opt. Lett. 25, 1001–1003 (2000).

[CrossRef]

P. N. Suding and R. M. Ziff, “Site percolation thresholds for Archimedean lattices,” Phys. Rev. E 60, 275 (1999).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. on Microwave Theory and Techniques 47, 2075–2084 (1999).

[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

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

[CrossRef]

V. G. Veselago, “Electrodynamics of substances with simultaneously negative electrical and magnetic permeabilities,” Uspekhi Fiz. Nauk 92, 517–526 (1967).

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Negative Refraction by Photonic Crystals,” Nature 423, 604 (2003).

[CrossRef]
[PubMed]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]
[PubMed]

B. P. Hiett, D. H. Beckett, S. J. Cox, J. M. Generowicz, M. Molinari, and K. S Thomas, “Photonic band gaps in 12-fold symmetric quasicrystals,” J. Mater. Sci.: Mater. Electron. 12, 413–416 (2003).

[CrossRef]

A. David, T. Fujii, E. Matioli, R. Sharma, S. Nakamura, and H. Benisty“, GaN light-emitting diodes with Archimedean lattice photonic crystals,” Appl. Phys. Lett. 88, 073510 (2006).

[CrossRef]

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

B. P. Hiett, D. H. Beckett, S. J. Cox, J. M. Generowicz, M. Molinari, and K. S Thomas, “Photonic band gaps in 12-fold symmetric quasicrystals,” J. Mater. Sci.: Mater. Electron. 12, 413–416 (2003).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]
[PubMed]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Negative Refraction by Photonic Crystals,” Nature 423, 604 (2003).

[CrossRef]
[PubMed]

A. David, T. Fujii, E. Matioli, R. Sharma, S. Nakamura, and H. Benisty“, GaN light-emitting diodes with Archimedean lattice photonic crystals,” Appl. Phys. Lett. 88, 073510 (2006).

[CrossRef]

K. Ueda, T. Dotera, and T. Gemma , “ Photonic band structure calculations of two-dimensional Archimedean tiling patterns ,” Phys. Rev. B 75, 195122 (2007).

[CrossRef]

S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, “Refraction in media with a negative refraction index,” Phys. Rev. Lett. 90, 107402 (2003).

[CrossRef]
[PubMed]

S. Foteinopoulou and C. M. Soukoulis, “Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects,” Phys. Rev. B 72, 165112 (2005).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Negative Refraction by Photonic Crystals,” Nature 423, 604 (2003).

[CrossRef]
[PubMed]

S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, “Refraction in media with a negative refraction index,” Phys. Rev. Lett. 90, 107402 (2003).

[CrossRef]
[PubMed]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]
[PubMed]

A. David, T. Fujii, E. Matioli, R. Sharma, S. Nakamura, and H. Benisty“, GaN light-emitting diodes with Archimedean lattice photonic crystals,” Appl. Phys. Lett. 88, 073510 (2006).

[CrossRef]

R. Gajić, Ɖ. Jovanović, K. Hingerl, R. Meisels, and F. Kuchar, “2D photonic crystals on the archimedean lattices tribute to Johannes Kepler (1571–1630),” Opt. Mater. 30, 1065 (2008).

[CrossRef]

R. Gajić, R. Meisels, F. Kuchar, Ɖ. Jovanović, and K. Hingerl, “Negative refraction and left-handedness in 2D Archimedean lattice photonic crystals,” Mater. Sci. Forum 555, 83–88 (2007).

[CrossRef]

R. Meisels, R. Gajic, 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, 6766–6777 (2006).

[CrossRef]
[PubMed]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “All-angle left-handed negative refraction in Kagom and honeycomb lattice photonic crystals,” Phys. Rev. B 73165310 (2006)

[CrossRef]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “Refraction and rightness in photonic crystals,” Opt. Express 13, 8596–8605 (2005).

[CrossRef]
[PubMed]

K. Ueda, T. Dotera, and T. Gemma , “ Photonic band structure calculations of two-dimensional Archimedean tiling patterns ,” Phys. Rev. B 75, 195122 (2007).

[CrossRef]

B. P. Hiett, D. H. Beckett, S. J. Cox, J. M. Generowicz, M. Molinari, and K. S Thomas, “Photonic band gaps in 12-fold symmetric quasicrystals,” J. Mater. Sci.: Mater. Electron. 12, 413–416 (2003).

[CrossRef]

B. Grünbaum and G. Shephard, Tilings and Patterns, (Freeman. New York, 1987)

T. Hahn, International Tables for Crystallography Volume A: Space-group symmetry, (Springer, 2005).

B. P. Hiett, D. H. Beckett, S. J. Cox, J. M. Generowicz, M. Molinari, and K. S Thomas, “Photonic band gaps in 12-fold symmetric quasicrystals,” J. Mater. Sci.: Mater. Electron. 12, 413–416 (2003).

[CrossRef]

R. Gajić, Ɖ. Jovanović, K. Hingerl, R. Meisels, and F. Kuchar, “2D photonic crystals on the archimedean lattices tribute to Johannes Kepler (1571–1630),” Opt. Mater. 30, 1065 (2008).

[CrossRef]

R. Gajić, R. Meisels, F. Kuchar, Ɖ. Jovanović, and K. Hingerl, “Negative refraction and left-handedness in 2D Archimedean lattice photonic crystals,” Mater. Sci. Forum 555, 83–88 (2007).

[CrossRef]

R. Meisels, R. Gajic, 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, 6766–6777 (2006).

[CrossRef]
[PubMed]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “All-angle left-handed negative refraction in Kagom and honeycomb lattice photonic crystals,” Phys. Rev. B 73165310 (2006)

[CrossRef]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “Refraction and rightness in photonic crystals,” Opt. Express 13, 8596–8605 (2005).

[CrossRef]
[PubMed]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. on Microwave Theory and Techniques 47, 2075–2084 (1999).

[CrossRef]

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104 (2002).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals - Molding the Flow of Light, (Princeton University Press, 1995).

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104 (2002).

[CrossRef]

R. Gajić, Ɖ. Jovanović, K. Hingerl, R. Meisels, and F. Kuchar, “2D photonic crystals on the archimedean lattices tribute to Johannes Kepler (1571–1630),” Opt. Mater. 30, 1065 (2008).

[CrossRef]

R. Gajić, R. Meisels, F. Kuchar, Ɖ. Jovanović, and K. Hingerl, “Negative refraction and left-handedness in 2D Archimedean lattice photonic crystals,” Mater. Sci. Forum 555, 83–88 (2007).

[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

J. Kepler, Harmonices Mundi, (Linz, 1619).

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

R. Gajić, Ɖ. Jovanović, K. Hingerl, R. Meisels, and F. Kuchar, “2D photonic crystals on the archimedean lattices tribute to Johannes Kepler (1571–1630),” Opt. Mater. 30, 1065 (2008).

[CrossRef]

R. Gajić, R. Meisels, F. Kuchar, Ɖ. Jovanović, and K. Hingerl, “Negative refraction and left-handedness in 2D Archimedean lattice photonic crystals,” Mater. Sci. Forum 555, 83–88 (2007).

[CrossRef]

R. Meisels, R. Gajic, 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, 6766–6777 (2006).

[CrossRef]
[PubMed]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “All-angle left-handed negative refraction in Kagom and honeycomb lattice photonic crystals,” Phys. Rev. B 73165310 (2006)

[CrossRef]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “Refraction and rightness in photonic crystals,” Opt. Express 13, 8596–8605 (2005).

[CrossRef]
[PubMed]

K. S. Kunz and R. L. Lubbers, The Finite Difference Time Domain Method, (CRC Press, 1993).

K. S. Kunz and R. L. Lubbers, The Finite Difference Time Domain Method, (CRC Press, 1993).

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104 (2002).

[CrossRef]

A. David, T. Fujii, E. Matioli, R. Sharma, S. Nakamura, and H. Benisty“, GaN light-emitting diodes with Archimedean lattice photonic crystals,” Appl. Phys. Lett. 88, 073510 (2006).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals - Molding the Flow of Light, (Princeton University Press, 1995).

R. Gajić, Ɖ. Jovanović, K. Hingerl, R. Meisels, and F. Kuchar, “2D photonic crystals on the archimedean lattices tribute to Johannes Kepler (1571–1630),” Opt. Mater. 30, 1065 (2008).

[CrossRef]

R. Gajić, R. Meisels, F. Kuchar, Ɖ. Jovanović, and K. Hingerl, “Negative refraction and left-handedness in 2D Archimedean lattice photonic crystals,” Mater. Sci. Forum 555, 83–88 (2007).

[CrossRef]

R. Meisels, R. Gajic, 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, 6766–6777 (2006).

[CrossRef]
[PubMed]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “All-angle left-handed negative refraction in Kagom and honeycomb lattice photonic crystals,” Phys. Rev. B 73165310 (2006)

[CrossRef]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “Refraction and rightness in photonic crystals,” Opt. Express 13, 8596–8605 (2005).

[CrossRef]
[PubMed]

B. P. Hiett, D. H. Beckett, S. J. Cox, J. M. Generowicz, M. Molinari, and K. S Thomas, “Photonic band gaps in 12-fold symmetric quasicrystals,” J. Mater. Sci.: Mater. Electron. 12, 413–416 (2003).

[CrossRef]

A. David, T. Fujii, E. Matioli, R. Sharma, S. Nakamura, and H. Benisty“, GaN light-emitting diodes with Archimedean lattice photonic crystals,” Appl. Phys. Lett. 88, 073510 (2006).

[CrossRef]

M. Notomi, “Negative refraction in photonic crystals,” Opt. Quantum Electron. 34, 133–143 (2002).

[CrossRef]

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]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]
[PubMed]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Negative Refraction by Photonic Crystals,” Nature 423, 604 (2003).

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104 (2002).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. on Microwave Theory and Techniques 47, 2075–2084 (1999).

[CrossRef]

J. B. Pendry and D. R. Smith, “Reversing light with negative refraction,” Phys. Today, June, 37–43 (2004).

[CrossRef]

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. on Microwave Theory and Techniques 47, 2075–2084 (1999).

[CrossRef]

K. Sakoda, Optical Properties of Photonic Crystals, (Springer, 2005).

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

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

[CrossRef]
[PubMed]

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

A. David, T. Fujii, E. Matioli, R. Sharma, S. Nakamura, and H. Benisty“, GaN light-emitting diodes with Archimedean lattice photonic crystals,” Appl. Phys. Lett. 88, 073510 (2006).

[CrossRef]

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

[CrossRef]
[PubMed]

B. Grünbaum and G. Shephard, Tilings and Patterns, (Freeman. New York, 1987)

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

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

[CrossRef]
[PubMed]

J. B. Pendry and D. R. Smith, “Reversing light with negative refraction,” Phys. Today, June, 37–43 (2004).

[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, “Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects,” Phys. Rev. B 72, 165112 (2005).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Negative Refraction by Photonic Crystals,” Nature 423, 604 (2003).

[CrossRef]
[PubMed]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]
[PubMed]

S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, “Refraction in media with a negative refraction index,” Phys. Rev. Lett. 90, 107402 (2003).

[CrossRef]
[PubMed]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. on Microwave Theory and Techniques 47, 2075–2084 (1999).

[CrossRef]

P. N. Suding and R. M. Ziff, “Site percolation thresholds for Archimedean lattices,” Phys. Rev. E 60, 275 (1999).

[CrossRef]

A. Taflove, Computational Electrodynamics-The Finite-Difference Time-Domain Method, (Artech House, Inc, 1995).

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

B. P. Hiett, D. H. Beckett, S. J. Cox, J. M. Generowicz, M. Molinari, and K. S Thomas, “Photonic band gaps in 12-fold symmetric quasicrystals,” J. Mater. Sci.: Mater. Electron. 12, 413–416 (2003).

[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

K. Ueda, T. Dotera, and T. Gemma , “ Photonic band structure calculations of two-dimensional Archimedean tiling patterns ,” Phys. Rev. B 75, 195122 (2007).

[CrossRef]

V. G. Veselago, “Electrodynamics of materials with negative index of refraction,” Uspekhi Fiz. Nauk 173, 790–794 (2003).

[CrossRef]

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

[CrossRef]

V. G. Veselago, “Electrodynamics of substances with simultaneously negative electrical and magnetic permeabilities,” Uspekhi Fiz. Nauk 92, 517–526 (1967).

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals - Molding the Flow of Light, (Princeton University Press, 1995).

P. N. Suding and R. M. Ziff, “Site percolation thresholds for Archimedean lattices,” Phys. Rev. E 60, 275 (1999).

[CrossRef]

A. David, T. Fujii, E. Matioli, R. Sharma, S. Nakamura, and H. Benisty“, GaN light-emitting diodes with Archimedean lattice photonic crystals,” Appl. Phys. Lett. 88, 073510 (2006).

[CrossRef]

M. Rattier, H. Benisty, E. Schwoob, C. Weisbuch, T. F. Krauss, C. J. M. Smith, R. Houdre, and U. Oesterle, “Omnidirectional and compact guided light extraction from Archimedean photonic lattices,” Appl. Phys. Lett. 83, 1283–1285 (2003).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. on Microwave Theory and Techniques 47, 2075–2084 (1999).

[CrossRef]

B. P. Hiett, D. H. Beckett, S. J. Cox, J. M. Generowicz, M. Molinari, and K. S Thomas, “Photonic band gaps in 12-fold symmetric quasicrystals,” J. Mater. Sci.: Mater. Electron. 12, 413–416 (2003).

[CrossRef]

R. Gajić, R. Meisels, F. Kuchar, Ɖ. Jovanović, and K. Hingerl, “Negative refraction and left-handedness in 2D Archimedean lattice photonic crystals,” Mater. Sci. Forum 555, 83–88 (2007).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Negative Refraction by Photonic Crystals,” Nature 423, 604 (2003).

[CrossRef]
[PubMed]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “Refraction and rightness in photonic crystals,” Opt. Express 13, 8596–8605 (2005).

[CrossRef]
[PubMed]

R. Meisels, R. Gajic, 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, 6766–6777 (2006).

[CrossRef]
[PubMed]

L. Moretti and V. Mocella, “Two-dimensional photonic aperiodic crystals based on Thue-Morse sequence,” Opt. Express 15, 15314 (2007).

[CrossRef]
[PubMed]

C. Rockstuhl, U. Peschel, and F. Lederer, “Correlation between single-cylinder properties and bandgap formation in photonic structures,” Opt. Lett. 31, 1741 (2006).

[CrossRef]
[PubMed]

S. David, A. Chelnokov, and J. M. Lourtioz, “Wide angularly isotropic photonic bandgaps obtained from two-dimensional photonic crystals with Archimedean-like tilings,” Opt. Lett. 25, 1001–1003 (2000).

[CrossRef]

R. Gajić, Ɖ. Jovanović, K. Hingerl, R. Meisels, and F. Kuchar, “2D photonic crystals on the archimedean lattices tribute to Johannes Kepler (1571–1630),” Opt. Mater. 30, 1065 (2008).

[CrossRef]

M. Notomi, “Negative refraction in photonic crystals,” Opt. Quantum Electron. 34, 133–143 (2002).

[CrossRef]

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]

R. Gajic, R. Meisels, F. Kuchar, and K. Hingerl, “All-angle left-handed negative refraction in Kagom and honeycomb lattice photonic crystals,” Phys. Rev. B 73165310 (2006)

[CrossRef]

K. Ueda, T. Dotera, and T. Gemma , “ Photonic band structure calculations of two-dimensional Archimedean tiling patterns ,” Phys. Rev. B 75, 195122 (2007).

[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, “Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects,” Phys. Rev. B 72, 165112 (2005).

[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–10099 (1998).

[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104 (2002).

[CrossRef]

P. N. Suding and R. M. Ziff, “Site percolation thresholds for Archimedean lattices,” Phys. Rev. E 60, 275 (1999).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength Resolution in a Two-Dimensional Photonic-Crystal-Based Superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]
[PubMed]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

S. Foteinopoulou, E. N. Economou, and C. M. Soukoulis, “Refraction in media with a negative refraction index,” Phys. Rev. Lett. 90, 107402 (2003).

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

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

[CrossRef]

V. G. Veselago, “Electrodynamics of materials with negative index of refraction,” Uspekhi Fiz. Nauk 173, 790–794 (2003).

[CrossRef]

V. G. Veselago, “Electrodynamics of substances with simultaneously negative electrical and magnetic permeabilities,” Uspekhi Fiz. Nauk 92, 517–526 (1967).

J. Kepler, Harmonices Mundi, (Linz, 1619).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals - Molding the Flow of Light, (Princeton University Press, 1995).

K. Sakoda, Optical Properties of Photonic Crystals, (Springer, 2005).

J. B. Pendry and D. R. Smith, “Reversing light with negative refraction,” Phys. Today, June, 37–43 (2004).

[CrossRef]

B. Grünbaum and G. Shephard, Tilings and Patterns, (Freeman. New York, 1987)

T. Hahn, International Tables for Crystallography Volume A: Space-group symmetry, (Springer, 2005).

BandSOLVE, FullWave, RSoft Design Group Inc., URL: http://www.rsoftdesign.com

K. S. Kunz and R. L. Lubbers, The Finite Difference Time Domain Method, (CRC Press, 1993).

A. Taflove, Computational Electrodynamics-The Finite-Difference Time-Domain Method, (Artech House, Inc, 1995).