Experimental confirmation of the general solution to the multiple-phase-matching problem

Journal of the Optical Society of America B: Optical Physics

Volumn 24, Issue 8, 2007, Pages 1916-1921

  Bahabad, Alon ^a   Voloch, Noa ^a   Arie, Ady ^a   Lifshitz, Ron ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELD EFFECTS; LIGHT; PHASE MATCHING; QUASICRYSTALS;

OPTICAL BEAMS; PHOTONIC QUASICRYSTAL; QUASI-PHASE MATCHING;

PHOTONIC CRYSTALS;

EID: 34548635019     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.24.001916     Document Type: Article

References (31)

1. 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).
2. 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).
3. 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).
4. 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).
5. 4," Opt. Lett. 30, 2635-2637 (2005).
6. (2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons," Opt. Quantum Electron. 28, 1691-1740 (1996).
7. T. Ellenbogen, A. Arie, and S. M. Saltiel, "Noncollinear double quasi phase matching in one-dimensional poled crystals," Opt. Lett. 32, 262-264 (2007).
8. V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998).
9. 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).
10. A. Arie, N. Habshoosh, and A. Bahabad, "Quasi phase matching in two-dimensional nonlinear photonic crystals," Opt. Quantum Electron. (to be published).
11. 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).
12. 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).
13. 3 crystal," Appl. Phys. B 78, 265-267 (2004).
14. 3 waveguides," Opt. Lett. 24, 1157-1159 (1999).
15. 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).
16. R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).
17. R. Lifshitz, "What is a crystal?" Z. Kristallogr. 222, 313-319 (2007).
18. 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).
19. 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).
20. jgm," Acta Crystallogr. 44, 678-688 (1988). http://dx.doi.org/10.1107/ S0108767388003733.
21. 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.
22. M. Senechal, Quasicrystals and Geometry (Cambridge U. Press, 1995), pp. 162-166.
23. 4," Appl. Phys. Lett. 74, 914-916 (1999).
24. 4," Appl. Opt. 42, 6661-6665 (2003).
25. A. H. Norton and C. M. de Sterke, "Optimal poling of nonlinear photonic crystals for frequency conversion," Opt. Lett. 28, 188-190 (2003).
26. R. Lifshitz, "Symmetry of magnetically ordered quasicrystals," Phys. Rev. Lett. 80, 2717-2720 (1998).
27. R. Lifshitz, "Magnetic quasicrystals: what can we expect to see in their neutron diffraction data?" Mater. Sci. Eng., A 294, 508-511 (2000).
28. K. Fradkin-Kashi and A. Arie, "Multiple-wavelength quasi-phase-matched nonlinear interactions," IEEE J. Quantum Electron. 35, 1649-1656 (1999).
29. 3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993).
30. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).
31. G. D. Boyd and D. A. Kleinman, "Parametric interaction of focused Gaussian light beams," J. Appl. Phys. 39, 3596-3639 (1968).