Abstract

We demonstrate that simultaneous phase- and group-velocity-matched cascaded parametric processes can be achieved in two-dimensional quadratic nonlinear photonic crystals by proper matching of noncollinear processes with front tilting of the fundamental pulse. We present examples of cascaded third- and fourth-harmonic generation in a poled LiNbO3 planar structure.

© 2006 Optical Society of America

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2005

2004

B. Ma, T. Wang, P. Ni, B. Cheng, and D. Zhang, Europhys. Lett. 68, 804 (2004).
[CrossRef]

P. Ni, B. Ma, Sh. Feng, B. Cheng, and D. Zhang, Opt. Commun. 233, 199 (2004).
[CrossRef]

2003

2002

2001

2000

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 62, 1328 (2000).
[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

S. Saltiel and Yu. S. Kivshar, Opt. Lett. 25, 1204 (2000).
[CrossRef]

1999

1998

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

1997

1996

1995

1990

G. Szabo and Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

1989

O. Martinez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

Akhmanov, S. A.

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

Andreoni, A.

Ashihara, S.

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, J. Opt. Soc. Am. B 22, 1283 (2005).
[CrossRef]

S. Ashihara, T. Shimura, and K. Kuroda, J. Opt. Soc. Am. B 20, 853 (2003).
[CrossRef]

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, in International Quantum Electronics Conference (IQEC) 2005 (Optical Society of America), pp. 645-646.

Baltuska, A.

T. Kobayashi and A. Baltuska, Meas. Sci. Technol. 13, 1671 (2002).
[CrossRef]

Beckwitt, K.

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 62, 1328 (2000).
[CrossRef]

Berger, V.

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

Boland, B. F.

Bor, Z.

G. Szabo and Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

Bratfalean, R. T.

Broderick, N. G. R.

N. G. R. Broderick, R. T. Bratfalean, T. M. Monro, D. J. Richardson, and M. de Sterke, J. Opt. Soc. Am. B 19, 2263 (2002).
[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Caironi, D.

Charbonneau-Lefort, M.

Cheng, B.

P. Ni, B. Ma, Sh. Feng, B. Cheng, and D. Zhang, Opt. Commun. 233, 199 (2004).
[CrossRef]

B. Ma, T. Wang, P. Ni, B. Cheng, and D. Zhang, Europhys. Lett. 68, 804 (2004).
[CrossRef]

Chirkin, A. S.

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

Chowdhury, A.

Danielius, R.

de Sterke, M.

Di Trapani, P.

Dubietis, A.

Fejer, M. M.

Feng, Sh.

P. Ni, B. Ma, Sh. Feng, B. Cheng, and D. Zhang, Opt. Commun. 233, 199 (2004).
[CrossRef]

Foggi, P.

Fujioka, N.

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, J. Opt. Soc. Am. B 22, 1283 (2005).
[CrossRef]

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, in International Quantum Electronics Conference (IQEC) 2005 (Optical Society of America), pp. 645-646.

Hanna, D. C.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Kivshar, Yu. S.

M. de Sterke, S. Saltiel, and Yu. S. Kivshar, Opt. Lett. 26, 539 (2001).
[CrossRef]

S. Saltiel and Yu. S. Kivshar, Opt. Lett. 25, 1204 (2000).
[CrossRef]

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, in Progress in Optics, E.Wolf, ed. (Elsevier, 2005), Vol. 47, pp. 1-73.
[CrossRef]

Kobayashi, T.

T. Kobayashi and A. Baltuska, Meas. Sci. Technol. 13, 1671 (2002).
[CrossRef]

Kuech, T. F.

Kuroda, K.

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, J. Opt. Soc. Am. B 22, 1283 (2005).
[CrossRef]

S. Ashihara, T. Shimura, and K. Kuroda, J. Opt. Soc. Am. B 20, 853 (2003).
[CrossRef]

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, in International Quantum Electronics Conference (IQEC) 2005 (Optical Society of America), pp. 645-646.

Liu, X.

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 62, 1328 (2000).
[CrossRef]

Ma, B.

P. Ni, B. Ma, Sh. Feng, B. Cheng, and D. Zhang, Opt. Commun. 233, 199 (2004).
[CrossRef]

B. Ma, T. Wang, P. Ni, B. Cheng, and D. Zhang, Europhys. Lett. 68, 804 (2004).
[CrossRef]

Martinez, O.

O. Martinez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

McCaughan, L.

Monro, T. M.

Ni, P.

B. Ma, T. Wang, P. Ni, B. Cheng, and D. Zhang, Europhys. Lett. 68, 804 (2004).
[CrossRef]

P. Ni, B. Ma, Sh. Feng, B. Cheng, and D. Zhang, Opt. Commun. 233, 199 (2004).
[CrossRef]

Offerhaus, H. L.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Ono, H.

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, J. Opt. Soc. Am. B 22, 1283 (2005).
[CrossRef]

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, in International Quantum Electronics Conference (IQEC) 2005 (Optical Society of America), pp. 645-646.

Piskarskas, A.

Qui, Z. R.

Richardson, D. J.

N. G. R. Broderick, R. T. Bratfalean, T. M. Monro, D. J. Richardson, and M. de Sterke, J. Opt. Soc. Am. B 19, 2263 (2002).
[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Ross, G. W.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Saltiel, S.

Saltiel, S. M.

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, in Progress in Optics, E.Wolf, ed. (Elsevier, 2005), Vol. 47, pp. 1-73.
[CrossRef]

Schober, A. M.

Shimura, T.

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, J. Opt. Soc. Am. B 22, 1283 (2005).
[CrossRef]

S. Ashihara, T. Shimura, and K. Kuroda, J. Opt. Soc. Am. B 20, 853 (2003).
[CrossRef]

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, in International Quantum Electronics Conference (IQEC) 2005 (Optical Society of America), pp. 645-646.

Smith, A. V.

Solcia, C.

Staus, C.

Sukhorukov, A. A.

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, in Progress in Optics, E.Wolf, ed. (Elsevier, 2005), Vol. 47, pp. 1-73.
[CrossRef]

Szabo, G.

G. Szabo and Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

Tamosauskas, G.

Valiulis, G.

Visconti, A.

Vysloukh, V. A.

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

Wang, H.

Wang, T.

B. Ma, T. Wang, P. Ni, B. Cheng, and D. Zhang, Europhys. Lett. 68, 804 (2004).
[CrossRef]

Wise, F.

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 62, 1328 (2000).
[CrossRef]

Wong, G. K. L.

Wong, K. S.

Zhang, D.

B. Ma, T. Wang, P. Ni, B. Cheng, and D. Zhang, Europhys. Lett. 68, 804 (2004).
[CrossRef]

P. Ni, B. Ma, Sh. Feng, B. Cheng, and D. Zhang, Opt. Commun. 233, 199 (2004).
[CrossRef]

Appl. Phys. B

G. Szabo and Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

Europhys. Lett.

B. Ma, T. Wang, P. Ni, B. Cheng, and D. Zhang, Europhys. Lett. 68, 804 (2004).
[CrossRef]

IEEE J. Quantum Electron.

O. Martinez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

J. Opt. Soc. Am. B

Meas. Sci. Technol.

T. Kobayashi and A. Baltuska, Meas. Sci. Technol. 13, 1671 (2002).
[CrossRef]

Opt. Commun.

P. Ni, B. Ma, Sh. Feng, B. Cheng, and D. Zhang, Opt. Commun. 233, 199 (2004).
[CrossRef]

Opt. Lett.

Phys. Rev. E

X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 62, 1328 (2000).
[CrossRef]

Phys. Rev. Lett.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

Other

N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, in International Quantum Electronics Conference (IQEC) 2005 (Optical Society of America), pp. 645-646.

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, in Progress in Optics, E.Wolf, ed. (Elsevier, 2005), Vol. 47, pp. 1-73.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Geometry for THG with simultaneous double-phase matching and GVM compensation in 2DNPC. The grid shows a reciprocal lattice. Inset, hexagonally poled asymmetric two-dimensional nonlinear photonic crystal.

Fig. 2
Fig. 2

2DNPC grating periods d 1 and d 2 and the angle φ for GVM-compensated phase-matched THG.

Fig. 3
Fig. 3

Geometry for FHG process with simultaneous double-phase matching and GVM compensation in 2DNPC. The grids show two reciprocal lattices.

Fig. 4
Fig. 4

2DNLC grating periods d 1 and d 2 and the angle φ for GVM-compensated phase-matched FHG.

Equations (3)

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

tan ρ = v 1 v 2 cos β 12 v 2 sin β 12 ,
tan β 12 2 = v 2 tan ρ v 2 2 cos 2 ρ v 1 2 v 1 + v 2 ,
tan β 24 2 = v 4 tan ρ v 4 2 cos 2 ρ v 2 2 v 2 + v 4 .

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