Abstract

Recently important efforts have been dedicated to the realization of a new kind of photonic crystals, known as photonic quasicrystals, in which the lack of the translational symmetry is compensated by rotational symmetries not achievable by the conventional periodic crystals. Here we show a novel approach to their fabrication based on the use of a programmable Spatial Light Modulator encoding Computer-Generated Holograms. Using this single beam technique we fabricated Penrose-tiled structures possessing rotational symmetry up to 23-fold, and a two-dimensional Thue-Morse structure, which is an aperiodic structure not achievable by multiple beam holography.

© 2008 Optical Society of America

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    [Crossref]
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    [Crossref]
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    [Crossref]
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2007 (3)

H. Lei, J. Chen, G. Nouet, S. Feng, Q. Gong, and X. Jiang, “Photonic band gap structures in the Thue-Morse lattice,” Phys. Rev B 75, 205109/1–10 (2007).
[Crossref]

G. Zito, B. Piccirillo, E. Santamato, A. Marino, V. Tkachenko, and G. Abbate, “Computer-generated holographic gratings in soft matter,” Mol. Cryst. Liq. Cryst. 465, 371–378 (2007).
[Crossref]

L. Moretti and V. Mocella, “Two-dimensional photonic aperiodic crystals based on Thue-Morse sequence,” Opt. Express 15, 15314–15323 (2007).
[Crossref] [PubMed]

2006 (6)

Y. Yang, S. Zhang, and G. P. Wang, “Fabrication of two-dimensional metallodielectric quasicrystals by single-beam holography,” Appl. Phyis. Lett. 88, 251104/1–3 (2006).
[Crossref]

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Switchable quasicrystal structures with five-, seven-, and ninefold symmetries,” J. Opt. Soc. Am. B 23, 149–158 (2006).
[Crossref]

W. Mao, G. Liang, H. Zou, R. Zhang, H. Wang, and Z. Zeng, “Design and fabrication of two-dimensional holographic photonic quasi crystals with high-order symmetries,” J. Opt. Soc. Am. B 23, 2046–2050 (2006).
[Crossref]

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

H. Y. Lee and G. Y. Nam, “Realization of ultrawide omnidirectional photonic band gap in multiple one-dimensional photonic crystals,” J. Appl. Phys. 100, 083501/1–5 (2006).
[Crossref]

E. Macià, “The role of aperiodic order in science and technology,” Rep. Prog. Phys. 69, 397–441 (2006).
[Crossref]

2005 (2)

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Electrically switchable mesoscale Penrose quasicrystal structure,” Appl. Phys. Lett. 86, 011110/1–3 (2005).
[Crossref]

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

2004 (3)

2003 (1)

X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, “Large-area two-dimensional mesoscale quasicrystals,” Adv. Mater. 15, 1526–1528 (2003).
[Crossref]

2001 (2)

X. Zhang, Z. Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals,” Phys. Rev. B 63, 081105/1–4 (2001).
[Crossref]

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, “Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals,” J. Phys.: Condens. Matter 13, 10459–10470 (2001).
[Crossref]

2000 (2)

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold symmetric quasicrystals,” Nature 404, 740–743 (2000).
[Crossref] [PubMed]

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404, 53–56 (2000).
[Crossref] [PubMed]

1999 (3)

S. S. M. Cheng, L. Li, C. T. Chan, and Z. Q. Zhang, “Defect and transmission properties of two-dimensional quasiperiodic photonic band-gap systems,” Phys. Rev. B 59, 4091–4099 (1999).
[Crossref]

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38, 5004–5013 (1999).
[Crossref]

1998 (1)

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. Lett. 80, 956–959 (1998).
[Crossref]

1997 (1)

V. Berger, O. Gauthier-Lafaye, and E. Costard, “Fabrication of a 2D photonic band gap by a holographic method,” Electron. Lett. 33, 425–426 (1997).
[Crossref]

1994 (2)

F. Axel and H. Terauchi, “Axel and Terauchi reply,” Phys. Rev. Lett. 73, 1308–1308 (1994).
[Crossref] [PubMed]

M. Kolar, “High-resolution X-ray-diffraction spectra of Thue-Morse GaAs-AlAs heterostructures,” Phys. Rev. Lett. 73, 1307–1307 (1994).
[Crossref] [PubMed]

1993 (1)

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, “Bragg gratings in an acrylate polymer consisting of periodic polymer-dispersed liquid-crystal planes,” Chem. Mater. 5, 1533–1538 (1993).
[Crossref]

1991 (1)

F. Axel and H. Terauchi, “High-resolution X-ray-diffraction spectra of Thue-Morse GaAs-AlAs heterostructures: towards a novel description of disorder,” Phys. Rev. Lett. 66, 2223–2226 (1991).
[Crossref] [PubMed]

1984 (1)

D. Levine and P. J. Steinhartdt, “Quasicrystals: a new class of ordered structures,” Phys. Rev. Lett. 53, 2477–2480 (1984).
[Crossref]

Abbate, G.

G. Zito, B. Piccirillo, E. Santamato, A. Marino, V. Tkachenko, and G. Abbate, “Computer-generated holographic gratings in soft matter,” Mol. Cryst. Liq. Cryst. 465, 371–378 (2007).
[Crossref]

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

Abram, R. A.

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, “Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals,” J. Phys.: Condens. Matter 13, 10459–10470 (2001).
[Crossref]

Apter, B.

B. Apter, Y. David, I. Baal-Zedaka, and U. Efron, “Experimental study and computer simulation of ultra-small-pixel liquid crystal device,” presented at the Eleventh Meeting on Optical Engineering and Science, Tel Aviv, Israel, 26–27 March 2007.

Axel, F.

F. Axel and H. Terauchi, “Axel and Terauchi reply,” Phys. Rev. Lett. 73, 1308–1308 (1994).
[Crossref] [PubMed]

F. Axel and H. Terauchi, “High-resolution X-ray-diffraction spectra of Thue-Morse GaAs-AlAs heterostructures: towards a novel description of disorder,” Phys. Rev. Lett. 66, 2223–2226 (1991).
[Crossref] [PubMed]

Baal-Zedaka, I.

B. Apter, Y. David, I. Baal-Zedaka, and U. Efron, “Experimental study and computer simulation of ultra-small-pixel liquid crystal device,” presented at the Eleventh Meeting on Optical Engineering and Science, Tel Aviv, Israel, 26–27 March 2007.

Ban, S.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

Baumberg, J. J.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold symmetric quasicrystals,” Nature 404, 740–743 (2000).
[Crossref] [PubMed]

Berger, V.

V. Berger, O. Gauthier-Lafaye, and E. Costard, “Fabrication of a 2D photonic band gap by a holographic method,” Electron. Lett. 33, 425–426 (1997).
[Crossref]

Brand, S.

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, “Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals,” J. Phys.: Condens. Matter 13, 10459–10470 (2001).
[Crossref]

Bunning, T. J.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, “Bragg gratings in an acrylate polymer consisting of periodic polymer-dispersed liquid-crystal planes,” Chem. Mater. 5, 1533–1538 (1993).
[Crossref]

Campbell, M.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404, 53–56 (2000).
[Crossref] [PubMed]

Campos, J.

Chan, C. T.

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, “Large-area two-dimensional mesoscale quasicrystals,” Adv. Mater. 15, 1526–1528 (2003).
[Crossref]

X. Zhang, Z. Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals,” Phys. Rev. B 63, 081105/1–4 (2001).
[Crossref]

S. S. M. Cheng, L. Li, C. T. Chan, and Z. Q. Zhang, “Defect and transmission properties of two-dimensional quasiperiodic photonic band-gap systems,” Phys. Rev. B 59, 4091–4099 (1999).
[Crossref]

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. Lett. 80, 956–959 (1998).
[Crossref]

Chan, Y. S.

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. Lett. 80, 956–959 (1998).
[Crossref]

Charlton, M. D. B.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold symmetric quasicrystals,” Nature 404, 740–743 (2000).
[Crossref] [PubMed]

Chen, J.

H. Lei, J. Chen, G. Nouet, S. Feng, Q. Gong, and X. Jiang, “Photonic band gap structures in the Thue-Morse lattice,” Phys. Rev B 75, 205109/1–10 (2007).
[Crossref]

Cheng, B.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

Cheng, S. S. M.

S. S. M. Cheng, L. Li, C. T. Chan, and Z. Q. Zhang, “Defect and transmission properties of two-dimensional quasiperiodic photonic band-gap systems,” Phys. Rev. B 59, 4091–4099 (1999).
[Crossref]

Costard, E.

V. Berger, O. Gauthier-Lafaye, and E. Costard, “Fabrication of a 2D photonic band gap by a holographic method,” Electron. Lett. 33, 425–426 (1997).
[Crossref]

Cottrell, D. M.

Crawford, G. P.

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Switchable quasicrystal structures with five-, seven-, and ninefold symmetries,” J. Opt. Soc. Am. B 23, 149–158 (2006).
[Crossref]

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Electrically switchable mesoscale Penrose quasicrystal structure,” Appl. Phys. Lett. 86, 011110/1–3 (2005).
[Crossref]

Criante, L.

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

David, Y.

B. Apter, Y. David, I. Baal-Zedaka, and U. Efron, “Experimental study and computer simulation of ultra-small-pixel liquid crystal device,” presented at the Eleventh Meeting on Optical Engineering and Science, Tel Aviv, Israel, 26–27 March 2007.

Davis, J. A.

De La Rue, R. M.

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, “Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals,” J. Phys.: Condens. Matter 13, 10459–10470 (2001).
[Crossref]

Denning, R. G.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404, 53–56 (2000).
[Crossref] [PubMed]

Duan, X.

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Efron, U.

B. Apter, Y. David, I. Baal-Zedaka, and U. Efron, “Experimental study and computer simulation of ultra-small-pixel liquid crystal device,” presented at the Eleventh Meeting on Optical Engineering and Science, Tel Aviv, Israel, 26–27 March 2007.

Feng, S.

H. Lei, J. Chen, G. Nouet, S. Feng, Q. Gong, and X. Jiang, “Photonic band gap structures in the Thue-Morse lattice,” Phys. Rev B 75, 205109/1–10 (2007).
[Crossref]

Gauthier, R. C.

Gauthier-Lafaye, O.

V. Berger, O. Gauthier-Lafaye, and E. Costard, “Fabrication of a 2D photonic band gap by a holographic method,” Electron. Lett. 33, 425–426 (1997).
[Crossref]

Gong, Q.

H. Lei, J. Chen, G. Nouet, S. Feng, Q. Gong, and X. Jiang, “Photonic band gap structures in the Thue-Morse lattice,” Phys. Rev B 75, 205109/1–10 (2007).
[Crossref]

Gorkhali, S. P.

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Switchable quasicrystal structures with five-, seven-, and ninefold symmetries,” J. Opt. Soc. Am. B 23, 149–158 (2006).
[Crossref]

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Electrically switchable mesoscale Penrose quasicrystal structure,” Appl. Phys. Lett. 86, 011110/1–3 (2005).
[Crossref]

Haavisto, J.

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Harrison, M. T.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404, 53–56 (2000).
[Crossref] [PubMed]

Ivanov, A.

Jiang, X.

H. Lei, J. Chen, G. Nouet, S. Feng, Q. Gong, and X. Jiang, “Photonic band gap structures in the Thue-Morse lattice,” Phys. Rev B 75, 205109/1–10 (2007).
[Crossref]

Jin, C.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

Kaliteevski, M. A.

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, “Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals,” J. Phys.: Condens. Matter 13, 10459–10470 (2001).
[Crossref]

Kim, P. -S.

Kimerling, L. C.

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Kolar, M.

M. Kolar, “High-resolution X-ray-diffraction spectra of Thue-Morse GaAs-AlAs heterostructures,” Phys. Rev. Lett. 73, 1307–1307 (1994).
[Crossref] [PubMed]

Krauss, T. F.

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, “Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals,” J. Phys.: Condens. Matter 13, 10459–10470 (2001).
[Crossref]

LeBlanc, J.

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Lee, G.

Lee, H. Y.

H. Y. Lee and G. Y. Nam, “Realization of ultrawide omnidirectional photonic band gap in multiple one-dimensional photonic crystals,” J. Appl. Phys. 100, 083501/1–5 (2006).
[Crossref]

Lee, J. C. W.

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

Lei, H.

H. Lei, J. Chen, G. Nouet, S. Feng, Q. Gong, and X. Jiang, “Photonic band gap structures in the Thue-Morse lattice,” Phys. Rev B 75, 205109/1–10 (2007).
[Crossref]

Levine, D.

D. Levine and P. J. Steinhartdt, “Quasicrystals: a new class of ordered structures,” Phys. Rev. Lett. 53, 2477–2480 (1984).
[Crossref]

Li, L.

S. S. M. Cheng, L. Li, C. T. Chan, and Z. Q. Zhang, “Defect and transmission properties of two-dimensional quasiperiodic photonic band-gap systems,” Phys. Rev. B 59, 4091–4099 (1999).
[Crossref]

Li, Z.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

Liang, G.

Liu, Z. Y.

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. Lett. 80, 956–959 (1998).
[Crossref]

Lucchetta, D. E.

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

Macià, E.

E. Macià, “The role of aperiodic order in science and technology,” Rep. Prog. Phys. 69, 397–441 (2006).
[Crossref]

Man, B.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

Mao, W.

Marino, A.

G. Zito, B. Piccirillo, E. Santamato, A. Marino, V. Tkachenko, and G. Abbate, “Computer-generated holographic gratings in soft matter,” Mol. Cryst. Liq. Cryst. 465, 371–378 (2007).
[Crossref]

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

Michel, J.

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Millar, P.

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, “Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals,” J. Phys.: Condens. Matter 13, 10459–10470 (2001).
[Crossref]

Mocella, V.

Moreno, I.

Moretti, L.

Nam, G. Y.

H. Y. Lee and G. Y. Nam, “Realization of ultrawide omnidirectional photonic band gap in multiple one-dimensional photonic crystals,” J. Appl. Phys. 100, 083501/1–5 (2006).
[Crossref]

Natarajan, L. V.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, “Bragg gratings in an acrylate polymer consisting of periodic polymer-dispersed liquid-crystal planes,” Chem. Mater. 5, 1533–1538 (1993).
[Crossref]

Negro, L. Dal

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Netti, M. C.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold symmetric quasicrystals,” Nature 404, 740–743 (2000).
[Crossref] [PubMed]

Ng, C. Y.

X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, “Large-area two-dimensional mesoscale quasicrystals,” Adv. Mater. 15, 1526–1528 (2003).
[Crossref]

Nouet, G.

H. Lei, J. Chen, G. Nouet, S. Feng, Q. Gong, and X. Jiang, “Photonic band gap structures in the Thue-Morse lattice,” Phys. Rev B 75, 205109/1–10 (2007).
[Crossref]

Oh, C. -H.

Pang, Y. K.

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

Parker, G. J.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold symmetric quasicrystals,” Nature 404, 740–743 (2000).
[Crossref] [PubMed]

Piccirillo, B.

G. Zito, B. Piccirillo, E. Santamato, A. Marino, V. Tkachenko, and G. Abbate, “Computer-generated holographic gratings in soft matter,” Mol. Cryst. Liq. Cryst. 465, 371–378 (2007).
[Crossref]

Qi, J.

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Switchable quasicrystal structures with five-, seven-, and ninefold symmetries,” J. Opt. Soc. Am. B 23, 149–158 (2006).
[Crossref]

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Electrically switchable mesoscale Penrose quasicrystal structure,” Appl. Phys. Lett. 86, 011110/1–3 (2005).
[Crossref]

Santamato, E.

G. Zito, B. Piccirillo, E. Santamato, A. Marino, V. Tkachenko, and G. Abbate, “Computer-generated holographic gratings in soft matter,” Mol. Cryst. Liq. Cryst. 465, 371–378 (2007).
[Crossref]

Sharp, D. N.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404, 53–56 (2000).
[Crossref] [PubMed]

Sheng, P.

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, “Large-area two-dimensional mesoscale quasicrystals,” Adv. Mater. 15, 1526–1528 (2003).
[Crossref]

Simoni, F.

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

Song, S. H.

Steinhartdt, P. J.

D. Levine and P. J. Steinhartdt, “Quasicrystals: a new class of ordered structures,” Phys. Rev. Lett. 53, 2477–2480 (1984).
[Crossref]

Stolfi, M.

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Sun, B.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

Sutherland, R. L.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, “Bragg gratings in an acrylate polymer consisting of periodic polymer-dispersed liquid-crystal planes,” Chem. Mater. 5, 1533–1538 (1993).
[Crossref]

Tam, W. Y.

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, “Large-area two-dimensional mesoscale quasicrystals,” Adv. Mater. 15, 1526–1528 (2003).
[Crossref]

Terauchi, H.

F. Axel and H. Terauchi, “Axel and Terauchi reply,” Phys. Rev. Lett. 73, 1308–1308 (1994).
[Crossref] [PubMed]

F. Axel and H. Terauchi, “High-resolution X-ray-diffraction spectra of Thue-Morse GaAs-AlAs heterostructures: towards a novel description of disorder,” Phys. Rev. Lett. 66, 2223–2226 (1991).
[Crossref] [PubMed]

Tkachenko, V.

G. Zito, B. Piccirillo, E. Santamato, A. Marino, V. Tkachenko, and G. Abbate, “Computer-generated holographic gratings in soft matter,” Mol. Cryst. Liq. Cryst. 465, 371–378 (2007).
[Crossref]

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

Tondiglia, V. P.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, “Bragg gratings in an acrylate polymer consisting of periodic polymer-dispersed liquid-crystal planes,” Chem. Mater. 5, 1533–1538 (1993).
[Crossref]

Turberfield, A. J.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404, 53–56 (2000).
[Crossref] [PubMed]

Vita, F.

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

Wang, G. P.

Y. Yang, S. Zhang, and G. P. Wang, “Fabrication of two-dimensional metallodielectric quasicrystals by single-beam holography,” Appl. Phyis. Lett. 88, 251104/1–3 (2006).
[Crossref]

Wang, H.

Wang, X.

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, “Large-area two-dimensional mesoscale quasicrystals,” Adv. Mater. 15, 1526–1528 (2003).
[Crossref]

Xu, J.

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

Yang, Y.

Y. Yang, S. Zhang, and G. P. Wang, “Fabrication of two-dimensional metallodielectric quasicrystals by single-beam holography,” Appl. Phyis. Lett. 88, 251104/1–3 (2006).
[Crossref]

Yi, Y.

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Yzuel, M. J.

Zeng, Z.

Zhang, D.

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

Zhang, R.

Zhang, S.

Y. Yang, S. Zhang, and G. P. Wang, “Fabrication of two-dimensional metallodielectric quasicrystals by single-beam holography,” Appl. Phyis. Lett. 88, 251104/1–3 (2006).
[Crossref]

Zhang, X.

X. Zhang, Z. Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals,” Phys. Rev. B 63, 081105/1–4 (2001).
[Crossref]

Zhang, Z. Q.

X. Zhang, Z. Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals,” Phys. Rev. B 63, 081105/1–4 (2001).
[Crossref]

S. S. M. Cheng, L. Li, C. T. Chan, and Z. Q. Zhang, “Defect and transmission properties of two-dimensional quasiperiodic photonic band-gap systems,” Phys. Rev. B 59, 4091–4099 (1999).
[Crossref]

Zito, G.

G. Zito, B. Piccirillo, E. Santamato, A. Marino, V. Tkachenko, and G. Abbate, “Computer-generated holographic gratings in soft matter,” Mol. Cryst. Liq. Cryst. 465, 371–378 (2007).
[Crossref]

Zoorob, M. E.

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold symmetric quasicrystals,” Nature 404, 740–743 (2000).
[Crossref] [PubMed]

Zou, H.

Adv. Mater. (1)

X. Wang, C. Y. Ng, W. Y. Tam, C. T. Chan, and P. Sheng, “Large-area two-dimensional mesoscale quasicrystals,” Adv. Mater. 15, 1526–1528 (2003).
[Crossref]

Appl. Opt. (1)

Appl. Phyis. Lett. (1)

Y. Yang, S. Zhang, and G. P. Wang, “Fabrication of two-dimensional metallodielectric quasicrystals by single-beam holography,” Appl. Phyis. Lett. 88, 251104/1–3 (2006).
[Crossref]

Appl. Phys. Lett. (4)

X. Wang, J. Xu, J. C. W. Lee, Y. K. Pang, W. Y. Tam, C. T. Chan, and P. Sheng, “Realization of optical periodic quasicrystals using holographic lithography,” Appl. Phys. Lett. 88, 051901/1–3 (2006).
[Crossref]

S. P. Gorkhali, J. Qi, and G. P. Crawford, “Electrically switchable mesoscale Penrose quasicrystal structure,” Appl. Phys. Lett. 86, 011110/1–3 (2005).
[Crossref]

C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and B. Sun, “Band gap and wave guiding effect in a quasiperiodic photonic crystal,” Appl. Phys. Lett. 75, 1848–1850 (1999).
[Crossref]

L. Dal Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84, 5186–5188 (2004).
[Crossref]

Chem. Mater. (1)

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, “Bragg gratings in an acrylate polymer consisting of periodic polymer-dispersed liquid-crystal planes,” Chem. Mater. 5, 1533–1538 (1993).
[Crossref]

Electron. Lett. (1)

V. Berger, O. Gauthier-Lafaye, and E. Costard, “Fabrication of a 2D photonic band gap by a holographic method,” Electron. Lett. 33, 425–426 (1997).
[Crossref]

J. Appl. Phys. (1)

H. Y. Lee and G. Y. Nam, “Realization of ultrawide omnidirectional photonic band gap in multiple one-dimensional photonic crystals,” J. Appl. Phys. 100, 083501/1–5 (2006).
[Crossref]

J. Opt. Soc. Am. B (2)

J. Phys.: Condens. Matter (1)

M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, P. Millar, and R. M. De La Rue, “Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals,” J. Phys.: Condens. Matter 13, 10459–10470 (2001).
[Crossref]

Mol. Cryst. Liq. Cryst. (1)

G. Zito, B. Piccirillo, E. Santamato, A. Marino, V. Tkachenko, and G. Abbate, “Computer-generated holographic gratings in soft matter,” Mol. Cryst. Liq. Cryst. 465, 371–378 (2007).
[Crossref]

Nature (2)

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404, 53–56 (2000).
[Crossref] [PubMed]

M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg, and M. C. Netti, “Complete photonic bandgaps in 12-fold symmetric quasicrystals,” Nature 404, 740–743 (2000).
[Crossref] [PubMed]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev B (1)

H. Lei, J. Chen, G. Nouet, S. Feng, Q. Gong, and X. Jiang, “Photonic band gap structures in the Thue-Morse lattice,” Phys. Rev B 75, 205109/1–10 (2007).
[Crossref]

Phys. Rev. B (2)

X. Zhang, Z. Q. Zhang, and C. T. Chan, “Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals,” Phys. Rev. B 63, 081105/1–4 (2001).
[Crossref]

S. S. M. Cheng, L. Li, C. T. Chan, and Z. Q. Zhang, “Defect and transmission properties of two-dimensional quasiperiodic photonic band-gap systems,” Phys. Rev. B 59, 4091–4099 (1999).
[Crossref]

Phys. Rev. E (1)

F. Vita, A. Marino, V. Tkachenko, G. Abbate, D. E. Lucchetta, L. Criante, and F. Simoni, “Visible and near-infrared characterization and modeling of nanosized holographic-polymer-dispersed liquid crystal gratings,” Phys. Rev. E 72, 011702/1–8 (2005).
[Crossref]

Phys. Rev. Lett. (5)

Y. S. Chan, C. T. Chan, and Z. Y. Liu, “Photonic band gaps in two-dimensional photonic quasicrystals,” Phys. Rev. Lett. 80, 956–959 (1998).
[Crossref]

D. Levine and P. J. Steinhartdt, “Quasicrystals: a new class of ordered structures,” Phys. Rev. Lett. 53, 2477–2480 (1984).
[Crossref]

F. Axel and H. Terauchi, “High-resolution X-ray-diffraction spectra of Thue-Morse GaAs-AlAs heterostructures: towards a novel description of disorder,” Phys. Rev. Lett. 66, 2223–2226 (1991).
[Crossref] [PubMed]

F. Axel and H. Terauchi, “Axel and Terauchi reply,” Phys. Rev. Lett. 73, 1308–1308 (1994).
[Crossref] [PubMed]

M. Kolar, “High-resolution X-ray-diffraction spectra of Thue-Morse GaAs-AlAs heterostructures,” Phys. Rev. Lett. 73, 1307–1307 (1994).
[Crossref] [PubMed]

Rep. Prog. Phys. (1)

E. Macià, “The role of aperiodic order in science and technology,” Rep. Prog. Phys. 69, 397–441 (2006).
[Crossref]

Other (5)

P. J. Steinhartdt and S. Ostlund, (eds.) The Physics of Quasicrystals (Word Scientific, River Edge, NJ, 1987).

Z. M. Stadnik, (eds.) Physical Properties of Quasicrystals (Springer, New York, 1999).
[Crossref]

B. Apter, Y. David, I. Baal-Zedaka, and U. Efron, “Experimental study and computer simulation of ultra-small-pixel liquid crystal device,” presented at the Eleventh Meeting on Optical Engineering and Science, Tel Aviv, Israel, 26–27 March 2007.

V. A. Soifer, (eds.) Methods for Computer Design of Diffractive Optical Elements (John Wiley & Sons, Inc., New York, 2002).

J. W. Goodman, (eds.) Introduction to Fourier Optics (McGraw-Hill, New York, 1996).

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Figures (2)

Fig. 1.
Fig. 1.

(a) Penrose-tiled quasicrystal structure with 8-fold rotational symmetry and phase set 1 (φi =0, for i={1,…,8}); (b) Penrose-tiled structure with 8-fold symmetry and phase set 2 (φ2= φ4 =φ6 =φ8 =π/2+φ, where φ represents the phase of the remaining beams). (a)–(b) Top left inset: calculated irradiance profile (IP), top right inset: 2D Fourier transform (FT) of the irradiance profile, bottom inset: observed diffraction pattern (DP); d estimates the self-similarity cell size of the structures.

Fig. 2.
Fig. 2.

(a) Penrose-tiled quasicrystal structure with 9-fold rotational symmetry, (b) 10-fold symmetry, (c) 12-fold symmetry, (d) 17-fold symmetry, (e) 23-fold symmetry. (f) Two-dimensional Thue-Morse quasicrystal structure. (a)–(f) Top left inset: calculated irradiance profile (IP), top right inset: 2D Fourier transform (FT) of the irradiance profile, bottom inset: observed diffraction pattern (DP); d estimates the self-similarity cell size of the structures.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

I ( r ) = m = 1 N n = 1 N A m A n * exp [ i ( k m k n ) · r + i ( φ m φ n ) ] ,
k m = 2 π n λ ( sin ( 2 π m N ) sin θ , cos ( 2 π m N ) sin θ , cos θ ) ,
M n + 1 = ( I n , n M n , n M n , n M n , n I n , n M n , n ) , I n , n = ( 1 11 1 1 n 1 n 1 1 nn ) ,

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