C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

L. Y. M. Tobing, P. Dumon, R. Baets, and M. Chin, “Boxlike filter response based on complementary photonic bandgaps in two-dimensional microresonator arrays,” Opt. Lett. 33, 2512–2514 (2008).

[CrossRef]
[PubMed]

S. V. Boriskina, A. Gopinath, and L. Dal Negro, “Optical gap formation and localization properties of optical modes in deterministic aperiodic photonic structures,” Opt. Express 16, 18813–18826 (2008).

[CrossRef]

K. Mnaymneh and R. C. Gauthier, “Mode localization and band-gap formation in defect-free photonic quasicrystals,” Opt. Express 15, 5089–5099 (2007).

[CrossRef]
[PubMed]

J. Capmany, P. Muñoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).

[CrossRef]
[PubMed]

F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects,” Opt. Express 15, 11934–11941 (2007).

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

T. Kalamakis and T. Sphicopoulos, “Analytical expressions for the resonant frequencies and modal fields of finite coupled optical cavity chains,” IEEE J. Quantum Electron. 41, 1419–1425 (2007).

[CrossRef]

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nature Photonics 1, 65 (2007).

[CrossRef]

W.-Y. Chen, V. Van, W. N. Herman, and P.-T. Ho, “Periodic Microring Lattice as a Bandstop Filter,” IEEE Photon. Technol. Lett. 18, 2041–2043 (2006).

[CrossRef]

E. Maciá, “The role of aperiodic order in science and technology,” Rep. Prog. Phys. 69, 397 (2006).

[CrossRef]

J. Poon, J. Scheuer, S. Mookherjea, G. Paloczi, Y. Huang, and A. Yariv, “Matrix analysis of microring coupled-resonator optical waveguides,” Opt. Express 12, 90–103 (2004).

[CrossRef]
[PubMed]

Y. Chen and S. Blair, “Nonlinearity enhancement in finite coupled-resonator slow-light waveguides,” Opt. Express 12, 3353–3366 (2004).

[CrossRef]
[PubMed]

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

[CrossRef]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B. 21, 1665–1673 (2004).

[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 063804 (2004).

[CrossRef]

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E 62,7389–7404 (2000).

[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).

[CrossRef]

X. Huang, Y. Wang, and C. Gong, “Numerical investigation of light-wave localization in optical Fibonacci superlattices with symmetric internal structure, ” J. Phys. Condens. Matter. 11, 7645 (1999).

[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15, 998–1005 (1997).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, and D. Turner, “Localization of electromagnetic waves in two-dimensional disordered systems,” Phys. Rev. B. 53, 8340 (1996).

[CrossRef]

H. Hiramoto and M. Kohmoto, “Electronic spectral and wave function properties of one-dimensional quasi-periodic systems: A scaling approach,” Int. J. Mod. Phys. B. 6, 281 (1992).

[CrossRef]

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 2001), Chap.1.

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 063804 (2004).

[CrossRef]

J. E. Heebner, R. W. Boyd, and Q. Park, “SCISSOR solitons and other novel propagation effects in microresonator-modified waveguides,” J. Opt. Soc. Am. B 19, 722–731 (2002).

[CrossRef]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, and D. Turner, “Localization of electromagnetic waves in two-dimensional disordered systems,” Phys. Rev. B. 53, 8340 (1996).

[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 063804 (2004).

[CrossRef]

W.-Y. Chen, V. Van, W. N. Herman, and P.-T. Ho, “Periodic Microring Lattice as a Bandstop Filter,” IEEE Photon. Technol. Lett. 18, 2041–2043 (2006).

[CrossRef]

Y. M. Landobasa, S. Darmawan, and M. K. Chin, “Matrix analysis of 2-D micro-resonator lattice optical filters,” IEEE J. Quantum Electron. 41, 1410–1418 (2005).

[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15, 998–1005 (1997).

[CrossRef]

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

[CrossRef]

C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

Y. M. Landobasa, S. Darmawan, and M. K. Chin, “Matrix analysis of 2-D micro-resonator lattice optical filters,” IEEE J. Quantum Electron. 41, 1410–1418 (2005).

[CrossRef]

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

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15, 998–1005 (1997).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 063804 (2004).

[CrossRef]

X. Huang, Y. Wang, and C. Gong, “Numerical investigation of light-wave localization in optical Fibonacci superlattices with symmetric internal structure, ” J. Phys. Condens. Matter. 11, 7645 (1999).

[CrossRef]

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

[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15, 998–1005 (1997).

[CrossRef]

H. A. Haus, Waves and fields in optoelectronics (New York: Prentice-Hall, 1984).

J.-B. Suck, M. Schreiber, and P. Häussler, Quasicrystals: An Introduction to Structure, Physical Properties and Applications (Springer-Verlag Berlin Heidelberg, 2002), Chap. 2.

W.-Y. Chen, V. Van, W. N. Herman, and P.-T. Ho, “Periodic Microring Lattice as a Bandstop Filter,” IEEE Photon. Technol. Lett. 18, 2041–2043 (2006).

[CrossRef]

H. Hiramoto and M. Kohmoto, “Electronic spectral and wave function properties of one-dimensional quasi-periodic systems: A scaling approach,” Int. J. Mod. Phys. B. 6, 281 (1992).

[CrossRef]

W.-Y. Chen, V. Van, W. N. Herman, and P.-T. Ho, “Periodic Microring Lattice as a Bandstop Filter,” IEEE Photon. Technol. Lett. 18, 2041–2043 (2006).

[CrossRef]

X. Huang, Y. Wang, and C. Gong, “Numerical investigation of light-wave localization in optical Fibonacci superlattices with symmetric internal structure, ” J. Phys. Condens. Matter. 11, 7645 (1999).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

T. Kalamakis and T. Sphicopoulos, “Analytical expressions for the resonant frequencies and modal fields of finite coupled optical cavity chains,” IEEE J. Quantum Electron. 41, 1419–1425 (2007).

[CrossRef]

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

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

H. Hiramoto and M. Kohmoto, “Electronic spectral and wave function properties of one-dimensional quasi-periodic systems: A scaling approach,” Int. J. Mod. Phys. B. 6, 281 (1992).

[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15, 998–1005 (1997).

[CrossRef]

Y. M. Landobasa, S. Darmawan, and M. K. Chin, “Matrix analysis of 2-D micro-resonator lattice optical filters,” IEEE J. Quantum Electron. 41, 1410–1418 (2005).

[CrossRef]

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

[CrossRef]

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E 62,7389–7404 (2000).

[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).

[CrossRef]

C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E 62,7389–7404 (2000).

[CrossRef]

C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15, 998–1005 (1997).

[CrossRef]

E. Maciá, “The role of aperiodic order in science and technology,” Rep. Prog. Phys. 69, 397 (2006).

[CrossRef]

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

[CrossRef]

C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B. 21, 1665–1673 (2004).

[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 063804 (2004).

[CrossRef]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B. 21, 1665–1673 (2004).

[CrossRef]

J. Poon, J. Scheuer, S. Mookherjea, G. Paloczi, Y. Huang, and A. Yariv, “Matrix analysis of microring coupled-resonator optical waveguides,” Opt. Express 12, 90–103 (2004).

[CrossRef]
[PubMed]

J.-B. Suck, M. Schreiber, and P. Häussler, Quasicrystals: An Introduction to Structure, Physical Properties and Applications (Springer-Verlag Berlin Heidelberg, 2002), Chap. 2.

F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects,” Opt. Express 15, 11934–11941 (2007).

[CrossRef]
[PubMed]

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nature Photonics 1, 65 (2007).

[CrossRef]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, and D. Turner, “Localization of electromagnetic waves in two-dimensional disordered systems,” Phys. Rev. B. 53, 8340 (1996).

[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 063804 (2004).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, and D. Turner, “Localization of electromagnetic waves in two-dimensional disordered systems,” Phys. Rev. B. 53, 8340 (1996).

[CrossRef]

T. Kalamakis and T. Sphicopoulos, “Analytical expressions for the resonant frequencies and modal fields of finite coupled optical cavity chains,” IEEE J. Quantum Electron. 41, 1419–1425 (2007).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

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

[CrossRef]

J.-B. Suck, M. Schreiber, and P. Häussler, Quasicrystals: An Introduction to Structure, Physical Properties and Applications (Springer-Verlag Berlin Heidelberg, 2002), Chap. 2.

C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, and D. Turner, “Localization of electromagnetic waves in two-dimensional disordered systems,” Phys. Rev. B. 53, 8340 (1996).

[CrossRef]

W.-Y. Chen, V. Van, W. N. Herman, and P.-T. Ho, “Periodic Microring Lattice as a Bandstop Filter,” IEEE Photon. Technol. Lett. 18, 2041–2043 (2006).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects,” Opt. Express 15, 11934–11941 (2007).

[CrossRef]
[PubMed]

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nature Photonics 1, 65 (2007).

[CrossRef]

X. Huang, Y. Wang, and C. Gong, “Numerical investigation of light-wave localization in optical Fibonacci superlattices with symmetric internal structure, ” J. Phys. Condens. Matter. 11, 7645 (1999).

[CrossRef]

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 2001), Chap.1.

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nature Photonics 1, 65 (2007).

[CrossRef]

F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects,” Opt. Express 15, 11934–11941 (2007).

[CrossRef]
[PubMed]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B. 21, 1665–1673 (2004).

[CrossRef]

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E 62,7389–7404 (2000).

[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).

[CrossRef]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B. 21, 1665–1673 (2004).

[CrossRef]

J. Poon, J. Scheuer, S. Mookherjea, G. Paloczi, Y. Huang, and A. Yariv, “Matrix analysis of microring coupled-resonator optical waveguides,” Opt. Express 12, 90–103 (2004).

[CrossRef]
[PubMed]

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E 62,7389–7404 (2000).

[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

C.E. Png, G. H. Park, S. T. Lim, E. P. Li, A. J. Danner, K. Ogawa, and Y. T. Tan, “Electrically controlled silicon-based photonic crystal chromatic dispersion compensator with ultralow power consumption,” Appl. Phys. Lett. 93, 061111 (2008).

[CrossRef]

T. Kalamakis and T. Sphicopoulos, “Analytical expressions for the resonant frequencies and modal fields of finite coupled optical cavity chains,” IEEE J. Quantum Electron. 41, 1419–1425 (2007).

[CrossRef]

Y. M. Landobasa, S. Darmawan, and M. K. Chin, “Matrix analysis of 2-D micro-resonator lattice optical filters,” IEEE J. Quantum Electron. 41, 1410–1418 (2005).

[CrossRef]

W.-Y. Chen, V. Van, W. N. Herman, and P.-T. Ho, “Periodic Microring Lattice as a Bandstop Filter,” IEEE Photon. Technol. Lett. 18, 2041–2043 (2006).

[CrossRef]

H. Hiramoto and M. Kohmoto, “Electronic spectral and wave function properties of one-dimensional quasi-periodic systems: A scaling approach,” Int. J. Mod. Phys. B. 6, 281 (1992).

[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15, 998–1005 (1997).

[CrossRef]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B. 21, 1665–1673 (2004).

[CrossRef]

X. Huang, Y. Wang, and C. Gong, “Numerical investigation of light-wave localization in optical Fibonacci superlattices with symmetric internal structure, ” J. Phys. Condens. Matter. 11, 7645 (1999).

[CrossRef]

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).

[CrossRef]

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nature Photonics 1, 65 (2007).

[CrossRef]

J. Poon, J. Scheuer, S. Mookherjea, G. Paloczi, Y. Huang, and A. Yariv, “Matrix analysis of microring coupled-resonator optical waveguides,” Opt. Express 12, 90–103 (2004).

[CrossRef]
[PubMed]

Y. Chen and S. Blair, “Nonlinearity enhancement in finite coupled-resonator slow-light waveguides,” Opt. Express 12, 3353–3366 (2004).

[CrossRef]
[PubMed]

Y. Landobasa and M. Chin, “Defect modes in micro-ring resonator arrays,” Opt. Express 13, 7800–7815 (2005).

[CrossRef]
[PubMed]

K. Mnaymneh and R. C. Gauthier, “Mode localization and band-gap formation in defect-free photonic quasicrystals,” Opt. Express 15, 5089–5099 (2007).

[CrossRef]
[PubMed]

J. Capmany, P. Muñoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).

[CrossRef]
[PubMed]

F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects,” Opt. Express 15, 11934–11941 (2007).

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

S. V. Boriskina, A. Gopinath, and L. Dal Negro, “Optical gap formation and localization properties of optical modes in deterministic aperiodic photonic structures,” Opt. Express 16, 18813–18826 (2008).

[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).

[CrossRef]

L. Y. M. Tobing, P. Dumon, R. Baets, and M. Chin, “Boxlike filter response based on complementary photonic bandgaps in two-dimensional microresonator arrays,” Opt. Lett. 33, 2512–2514 (2008).

[CrossRef]
[PubMed]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 063804 (2004).

[CrossRef]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, and D. Turner, “Localization of electromagnetic waves in two-dimensional disordered systems,” Phys. Rev. B. 53, 8340 (1996).

[CrossRef]

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E 62,7389–7404 (2000).

[CrossRef]

E. Maciá, “The role of aperiodic order in science and technology,” Rep. Prog. Phys. 69, 397 (2006).

[CrossRef]

J.-B. Suck, M. Schreiber, and P. Häussler, Quasicrystals: An Introduction to Structure, Physical Properties and Applications (Springer-Verlag Berlin Heidelberg, 2002), Chap. 2.

H. A. Haus, Waves and fields in optoelectronics (New York: Prentice-Hall, 1984).

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 2001), Chap.1.

FullWAVE, Rsoft Design Group, Inc., Ossining, NY.