R. T. Bratfalean, A. C. Peacock, N. G. R. Broderick, K. Gallo, and R. Lewen, "Harmonic generation in a two-dimensional nonlinear quasicrystal," Opt. Lett. 30, 424-426 (2005).

[CrossRef]
[PubMed]

R. C. Pooser and O. Pfister, "Observation of triply coincident nonlinearities in periodically poled KTiOPO4," Opt. Lett. 30, 2635-2637 (2005).

[CrossRef]
[PubMed]

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).

[CrossRef]
[PubMed]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2001).

[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).

[CrossRef]
[PubMed]

R. Lifshitz, "Magnetic quasicrystals: what can we expect to see in their neutron diffraction data?" Mater. Sci. Eng., A 294, 508-511 (2000).

[CrossRef]

K. Fradkin-Kashi and A. Arie, "Multiple-wavelength quasi-phase-matched nonlinear interactions," IEEE J. Quantum Electron. 35, 1649-1656 (1999).

[CrossRef]

M. H. Chou, K. R. Parameswaran, M. M. Fejer, and I. Brener, "Multiple-channel wavelength conversion by use of engineered quasi-phase-matching structures in LiNbO3 waveguides," Opt. Lett. 24, 1157-1159 (1999).

[CrossRef]

Y. S. Kivshar, A. A. Sukhorukov, and S. M. Saltiel, "Two-color multistep cascading and parametric soliton-induced waveguides," Phys. Rev. E 60, R5056-R5059 (1999).

[CrossRef]

K. Fradkin, A. Arie, A. Skliar, and G. Rosenman, "Tunable midinfrared source by difference frequency generation in bulk periodically poled KTiOPO4," Appl. Phys. Lett. 74, 914-916 (1999).

[CrossRef]

R. Lifshitz, "Symmetry of magnetically ordered quasicrystals," Phys. Rev. Lett. 80, 2717-2720 (1998).

[CrossRef]

V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998).

[CrossRef]

S.-N. Zhu, Y.-Y. Zhu, and N.-B. Ming, "Quasi-phase-matched third-harmonic generation in a quasiperiodic optical superlattice," Science 278, 843-846 (1997).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, "χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons," Opt. Quantum Electron. 28, 1691-1740 (1996).

[CrossRef]

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993).

[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation--tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Space groups of quasicrystallographic tilings," Acta Crystallogr. 45, 538-547 (1989). http://dx.doi.org/10.1107/S0108767389003302.

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Aperiodic tilings with nonsymmorphic space groups p2jgm," Acta Crystallogr. 44, 678-688 (1988). http://dx.doi.org/10.1107/S0108767388003733.

F. Gahler and J. Rhyner, "Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings," J. Phys. A 19, 267-277 (1986).

[CrossRef]

N. de Bruijn, "Algebraic theory of Penrose's non-periodic tilings of the plane," Proc. K. Ned. Akad. Wet., Ser. A: Math. Sci. 84, 39-66 (1981).

G. D. Boyd and D. A. Kleinman, "Parametric interaction of focused Gaussian light beams," J. Appl. Phys. 39, 3596-3639 (1968).

[CrossRef]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric," Phys. Rev. 127, 1918-1939 (1962).

[CrossRef]

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

T. Ellenbogen, A. Arie, and S. M. Saltiel, "Noncollinear double quasi phase matching in one-dimensional poled crystals," Opt. Lett. 32, 262-264 (2007).

[CrossRef]
[PubMed]

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).

[CrossRef]
[PubMed]

S. Emanueli and A. Arie, "Temperature-dependent dispersion equations for KTiOPO4 and KTiOAsO4," Appl. Opt. 42, 6661-6665 (2003).

[CrossRef]
[PubMed]

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2001).

[CrossRef]

K. Fradkin, A. Arie, A. Skliar, and G. Rosenman, "Tunable midinfrared source by difference frequency generation in bulk periodically poled KTiOPO4," Appl. Phys. Lett. 74, 914-916 (1999).

[CrossRef]

K. Fradkin-Kashi and A. Arie, "Multiple-wavelength quasi-phase-matched nonlinear interactions," IEEE J. Quantum Electron. 35, 1649-1656 (1999).

[CrossRef]

A. Arie, N. Habshoosh, and A. Bahabad, "Quasi phase matching in two-dimensional nonlinear photonic crystals," Opt. Quantum Electron. (to be published).

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric," Phys. Rev. 127, 1918-1939 (1962).

[CrossRef]

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).

[CrossRef]
[PubMed]

A. Arie, N. Habshoosh, and A. Bahabad, "Quasi phase matching in two-dimensional nonlinear photonic crystals," Opt. Quantum Electron. (to be published).

V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998).

[CrossRef]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric," Phys. Rev. 127, 1918-1939 (1962).

[CrossRef]

G. D. Boyd and D. A. Kleinman, "Parametric interaction of focused Gaussian light beams," J. Appl. Phys. 39, 3596-3639 (1968).

[CrossRef]

R. T. Bratfalean, A. C. Peacock, N. G. R. Broderick, K. Gallo, and R. Lewen, "Harmonic generation in a two-dimensional nonlinear quasicrystal," Opt. Lett. 30, 424-426 (2005).

[CrossRef]
[PubMed]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).

[CrossRef]
[PubMed]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation--tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).

[CrossRef]

N. de Bruijn, "Algebraic theory of Penrose's non-periodic tilings of the plane," Proc. K. Ned. Akad. Wet., Ser. A: Math. Sci. 84, 39-66 (1981).

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric," Phys. Rev. 127, 1918-1939 (1962).

[CrossRef]

M. H. Chou, K. R. Parameswaran, M. M. Fejer, and I. Brener, "Multiple-channel wavelength conversion by use of engineered quasi-phase-matching structures in LiNbO3 waveguides," Opt. Lett. 24, 1157-1159 (1999).

[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation--tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).

[CrossRef]

K. Fradkin, A. Arie, A. Skliar, and G. Rosenman, "Tunable midinfrared source by difference frequency generation in bulk periodically poled KTiOPO4," Appl. Phys. Lett. 74, 914-916 (1999).

[CrossRef]

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2001).

[CrossRef]

K. Fradkin-Kashi and A. Arie, "Multiple-wavelength quasi-phase-matched nonlinear interactions," IEEE J. Quantum Electron. 35, 1649-1656 (1999).

[CrossRef]

F. Gahler and J. Rhyner, "Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings," J. Phys. A 19, 267-277 (1986).

[CrossRef]

A. Arie, N. Habshoosh, and A. Bahabad, "Quasi phase matching in two-dimensional nonlinear photonic crystals," Opt. Quantum Electron. (to be published).

G. I. Stegeman, D. J. Hagan, and L. Torner, "χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons," Opt. Quantum Electron. 28, 1691-1740 (1996).

[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).

[CrossRef]
[PubMed]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Space groups of quasicrystallographic tilings," Acta Crystallogr. 45, 538-547 (1989). http://dx.doi.org/10.1107/S0108767389003302.

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Aperiodic tilings with nonsymmorphic space groups p2jgm," Acta Crystallogr. 44, 678-688 (1988). http://dx.doi.org/10.1107/S0108767388003733.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation--tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).

[CrossRef]

Y. S. Kivshar, A. A. Sukhorukov, and S. M. Saltiel, "Two-color multistep cascading and parametric soliton-induced waveguides," Phys. Rev. E 60, R5056-R5059 (1999).

[CrossRef]

G. D. Boyd and D. A. Kleinman, "Parametric interaction of focused Gaussian light beams," J. Appl. Phys. 39, 3596-3639 (1968).

[CrossRef]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

R. Lifshitz, "What is a crystal?" Z. Kristallogr. 222, 313-319 (2007).

[CrossRef]

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).

[CrossRef]
[PubMed]

R. Lifshitz, "Magnetic quasicrystals: what can we expect to see in their neutron diffraction data?" Mater. Sci. Eng., A 294, 508-511 (2000).

[CrossRef]

R. Lifshitz, "Symmetry of magnetically ordered quasicrystals," Phys. Rev. Lett. 80, 2717-2720 (1998).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation--tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Space groups of quasicrystallographic tilings," Acta Crystallogr. 45, 538-547 (1989). http://dx.doi.org/10.1107/S0108767389003302.

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Aperiodic tilings with nonsymmorphic space groups p2jgm," Acta Crystallogr. 44, 678-688 (1988). http://dx.doi.org/10.1107/S0108767388003733.

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

S.-N. Zhu, Y.-Y. Zhu, and N.-B. Ming, "Quasi-phase-matched third-harmonic generation in a quasiperiodic optical superlattice," Science 278, 843-846 (1997).

[CrossRef]

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993).

[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).

[CrossRef]
[PubMed]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric," Phys. Rev. 127, 1918-1939 (1962).

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Space groups of quasicrystallographic tilings," Acta Crystallogr. 45, 538-547 (1989). http://dx.doi.org/10.1107/S0108767389003302.

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Aperiodic tilings with nonsymmorphic space groups p2jgm," Acta Crystallogr. 44, 678-688 (1988). http://dx.doi.org/10.1107/S0108767388003733.

F. Gahler and J. Rhyner, "Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings," J. Phys. A 19, 267-277 (1986).

[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).

[CrossRef]
[PubMed]

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2001).

[CrossRef]

K. Fradkin, A. Arie, A. Skliar, and G. Rosenman, "Tunable midinfrared source by difference frequency generation in bulk periodically poled KTiOPO4," Appl. Phys. Lett. 74, 914-916 (1999).

[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).

[CrossRef]
[PubMed]

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993).

[CrossRef]

T. Ellenbogen, A. Arie, and S. M. Saltiel, "Noncollinear double quasi phase matching in one-dimensional poled crystals," Opt. Lett. 32, 262-264 (2007).

[CrossRef]
[PubMed]

Y. S. Kivshar, A. A. Sukhorukov, and S. M. Saltiel, "Two-color multistep cascading and parametric soliton-induced waveguides," Phys. Rev. E 60, R5056-R5059 (1999).

[CrossRef]

M. Senechal, Quasicrystals and Geometry (Cambridge U. Press, 1995), pp. 162-166.

K. Fradkin, A. Arie, A. Skliar, and G. Rosenman, "Tunable midinfrared source by difference frequency generation in bulk periodically poled KTiOPO4," Appl. Phys. Lett. 74, 914-916 (1999).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, "χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons," Opt. Quantum Electron. 28, 1691-1740 (1996).

[CrossRef]

Y. S. Kivshar, A. A. Sukhorukov, and S. M. Saltiel, "Two-color multistep cascading and parametric soliton-induced waveguides," Phys. Rev. E 60, R5056-R5059 (1999).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, "χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons," Opt. Quantum Electron. 28, 1691-1740 (1996).

[CrossRef]

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2001).

[CrossRef]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993).

[CrossRef]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

S.-N. Zhu, Y.-Y. Zhu, and N.-B. Ming, "Quasi-phase-matched third-harmonic generation in a quasiperiodic optical superlattice," Science 278, 843-846 (1997).

[CrossRef]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

S.-N. Zhu, Y.-Y. Zhu, and N.-B. Ming, "Quasi-phase-matched third-harmonic generation in a quasiperiodic optical superlattice," Science 278, 843-846 (1997).

[CrossRef]

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Aperiodic tilings with nonsymmorphic space groups p2jgm," Acta Crystallogr. 44, 678-688 (1988). http://dx.doi.org/10.1107/S0108767388003733.

D. A. Rabson, T.-L. Ho, and N. D. Mermin, "Space groups of quasicrystallographic tilings," Acta Crystallogr. 45, 538-547 (1989). http://dx.doi.org/10.1107/S0108767389003302.

[CrossRef]

J. Liao, J. L. He, H. Liu, J. Du, F. Xu, H. T. Wang, S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Red, yellow, green and blue--four-color light from a single, aperiodically poled LiTaO3 crystal," Appl. Phys. B 78, 265-267 (2004).

[CrossRef]

H. Liu, S. N. Zhu, Y. Y. Zhu, N. B. Ming, X. C. Lin, W. J. Ling, A. Y. Yao, and Z. Y. Xu, "Multiple-wavelength second-harmonic generation in aperiodic optical superlattices," Appl. Phys. Lett. 81, 3326-3328 (2002).

[CrossRef]

K. Fradkin, A. Arie, A. Skliar, and G. Rosenman, "Tunable midinfrared source by difference frequency generation in bulk periodically poled KTiOPO4," Appl. Phys. Lett. 74, 914-916 (1999).

[CrossRef]

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993).

[CrossRef]

K. Fradkin-Kashi and A. Arie, "Multiple-wavelength quasi-phase-matched nonlinear interactions," IEEE J. Quantum Electron. 35, 1649-1656 (1999).

[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation--tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).

[CrossRef]

G. D. Boyd and D. A. Kleinman, "Parametric interaction of focused Gaussian light beams," J. Appl. Phys. 39, 3596-3639 (1968).

[CrossRef]

F. Gahler and J. Rhyner, "Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings," J. Phys. A 19, 267-277 (1986).

[CrossRef]

R. Lifshitz, "Magnetic quasicrystals: what can we expect to see in their neutron diffraction data?" Mater. Sci. Eng., A 294, 508-511 (2000).

[CrossRef]

M. H. Chou, K. R. Parameswaran, M. M. Fejer, and I. Brener, "Multiple-channel wavelength conversion by use of engineered quasi-phase-matching structures in LiNbO3 waveguides," Opt. Lett. 24, 1157-1159 (1999).

[CrossRef]

A. H. Norton and C. M. de Sterke, "Optimal poling of nonlinear photonic crystals for frequency conversion," Opt. Lett. 28, 188-190 (2003).

[CrossRef]
[PubMed]

R. T. Bratfalean, A. C. Peacock, N. G. R. Broderick, K. Gallo, and R. Lewen, "Harmonic generation in a two-dimensional nonlinear quasicrystal," Opt. Lett. 30, 424-426 (2005).

[CrossRef]
[PubMed]

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