Transition from discrete to continuous Townes solitons in periodic media

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 4, 2010, Pages

  Eilenberger, Falk ^a   Szameit, Alexander ^b   Pertsch, Thomas ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPREHENSIVE ANALYSIS; HIGHLY NONLINEAR; HOMOGENEOUS MEDIA; HOMOGENEOUS MEDIUM; KERR MEDIUM; LATTICE SOLITONS; LOW-INTENSITY; PEAK INTENSITY; PERIODIC MEDIA; PERIODIC POTENTIALS; PHYSICAL PHENOMENA; POWER FLOWS; STABLE SOLUTIONS; TOWNES SOLITONS; TWO-DIMENSIONAL LATTICES;

TWO DIMENSIONAL;

SOLITONS;

EID: 77957810944     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.043802     Document Type: Article

References (35)

1. P. Gans, Vibrating Molecules: An introduction to the Interpretation of Infrared and Raman Spectra (Chapman and Hall, London, 1971).
2. J. A. Wilson, F. J. Di Salvo, and S. Mahajan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.32.882 32, 882 (1974).
3. N. W. Ashcroft and D. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976).
4. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2353 86, 2353 (2001). (Pubitemid 32277998)
5. D. Christodoulides and R. Joseph, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.13.000794 13, 794 (1988).
6. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3383 81, 3383 (1998).
7. D. Christodoulides, F. Lederer, and Y. Silberberg, Nature NATUAS 0028-0836 10.1038/nature01936 424, 817 (2003). (Pubitemid 37021716)
8. F. Lederer, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.04.004 463, 1 (2008).
9. Y. Kivshar and G. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
10. U. Peschel, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.23.000062 23, 62 (2006).
11. Y. S. Kivshar and S. Turitsyn, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.49.R2536 49, R2536 (1994).
12. N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 213906 91, 213906 (2003).
13. R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.13.479 13, 479 (1964).
14. Y. Sivan, G. Fibich, B. Ilan, and M. I. Weinstein, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.046602 78, 046602 (2008).
15. Y. Kartashov, A. Zelenina, L. Torner, and V. Vysloukh, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.29.000766 29, 766 (2004).
16. J. Fleischer, M. Segev, N. Efremidis, and D. Christodoulides, Nature NATUAS 0028-0836 10.1038/nature01452 422, 147 (2003). (Pubitemid 36362743)
17. S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, Appl. Phys. A: Mater. Sci. Process. APAMFC 0947-8396 10.1007/s00339-003-2088-6 77, 109 (2003).
18. A. Szameit, Appl. Phys. B APBOEM 0946-2171 10.1007/s00340-005-2127-4 82, 507 (2006). (Pubitemid 43254063)
19. U. Röpke, H. Bartelt, S. Unger, K. Schuster, and J. Kobelke, Opt. Express OPEXFF 1094-4087 10.1364/OE.15.006894 15, 6894 (2007). (Pubitemid 46830595)
20. S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1654468 22, 46 (1973).
21. A. Jones, J. Opt. Soc. Am. JOSAAH 0030-3941 10.1364/JOSA.55.000261 55, 261 (1965).
22. G. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 2001).
23. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C + +: The Art of Scientific Computing (Cambridge University Press, Cambridge, UK, 2002).
24. T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4752 83, 4752 (1999).
25. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4756 83, 4756 (1999).
26. S. Skupin, U. Peschel, L. Bergé, and F. Lederer, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.016614 70, 016614 (2004).
27. N. Vakhitov and A. Kolokolov, Radiophys. Quantum Electron. RPQEAC 0033-8443 10.1007/BF01031343 16, 783 (1973).
28. O. Bang, J. J. Rasmussen, and P. L. Christiansen, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/7/1/008 7, 205 (1994).
29. P. L. Christiansen, Phys. Scr. T PHSTBO 0031-8949 10.1088/0031-8949/1996/ T67/032 67, 160 (1996).
30. D. Pelinovsky, P. Kevrekidis, and D. Frantzeskakis, Physica D-Nonlinear Phenomena PDNPDT 0167-2789 10.1016/j.physd.2005.07.021 212, 1 (2005). (Pubitemid 41617921)
31. L. Bergé, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00092- 6 303, 259 (1998).
32. K. D. Moll, A. L. Gaeta, and G. Fibich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.203902 90, 203902 (2003).
33. Y. Silberberg, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.15.001282 15, 1282 (1990).
34. N. Sukumar, Int. J. Numer. Methods Eng. IJNMBH 0029-5981 10.1002/nme.664 57, 1 (2003). (Pubitemid 36624104)
35. A. Szameit, T. Pertsch, F. Dreisow, S. Nolte, A. Tunnermann, U. Peschel, and F. Lederer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.053814 75, 053814 (2007). (Pubitemid 47014578)