Modulational instability and generation of self-induced transparency solitons in resonant optical fibers

Journal of Optics A: Pure and Applied Optics

Volumn 11, Issue 4, 2009, Pages

  Kalithasan, B ^a   Porsezian, K ^a   Tchofo Dinda, P ^b   Malomed, B A ^c  

^a PONDICHERRY UNIVERSITY   (India)

^b LABORATOIRE INTERDISCIPLINAIRE CARNOT DE BOURGOGNE   (France)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

And self phase modulation; Group velocity dispersion; Self induced transparency

Indexed keywords

AND SELF-PHASE MODULATION; CONTINUOUS WAVES; MODULATIONAL INSTABILITY; RESONANT ATOM; SELF-INDUCED TRANSPARENCY;

LASER PULSES; MAXWELL EQUATIONS; NONLINEAR EQUATIONS; OPTICAL FIBERS; SELF PHASE MODULATION; SOLITONS; TRANSPARENCY; WAVE EQUATIONS;

DISPERSION (WAVES);

EID: 70449435744     PISSN: 14644258     EISSN: 17413567     Source Type: Journal    
DOI: 10.1088/1464-4258/11/4/045205     Document Type: Article

References (37)

1. Agrawal G P 2001 Nonlinear Fiber Optics (San Diego, CA: Academic)
2. Agrawal G P 2001 Applications of Nonlinear Fiber Optics (New York: Academic)
3. Hasegawa A 1984 Generation of a train of soliton pulses by induced modulational instability in optical fibers Opt. Lett. 9 288-90
4. Millot G, Seve E, Wabnitz S and Haelterman J M 1998 Observation of induced modulational polarization instabilities and pulse-train generation in the normal-dispersion regime of a birefringent optical fiber J. Opt. Soc. Am. B 15 1266-77 (Pubitemid 128567535)
5. Hasegawa A and Brinkman W F 1980 Tunable coherent IR and FIR sources utilizing modulational instability IEEE J. Quantum Electron. 16 694-7
6. Tai K, Hasegawa A and Tomita A 1986 Observation of modulational instability in optical fibers Phys. Rev. Lett. 56 135-8
7. Ostrovskii L A 1967 Propagation of wavepackets and space-time self-focusing in a nonlinear medium Sov. Phys.-JETP 24 797-800
8. Benjamin T B and Feir J E 1967 The disintegration of wave trains on deep water Part 1. Theory J. Fluid Mech. 27 417-30
9. Bespalov V I and Talanove V I 1966 Filamentary structure of light beams in nonlinear liquids JETP Lett. 3 307-10
10. Hasegawa A 1970 Observation of self-trapping instability of a plasma cyclotron wave in a computer experiment Phys. Rev. Lett. 24 1165-8
11. van Tartwijk G H M and Agrawal G P 1997 Maxwell-Bloch dynamics and modulation instabilities in fiber lasers and amplifiers J. Opt. Soc. Am. B 14 2618-27
12. McCall S L and Hann E L 1967 Self-Induced transparency by pulsed coherent light Phys. Rev. Lett. 18 908-11
13. Maimistov A I and Sklyarov YuM 1983 Coherent interaction of light with a discrete periodic medium Sov. Phys.-JETP 64 37-44
14. Maimistov A I, Basharov A M, Elyutin S O and Sklyarov Yu M 1990 Present state of self-induced transparency theory Phys. Rep. 191 1-108
15. Maimistov A I, Malomed B A and Desyatinkov A 1999 A potential of incoherent attraction between multidimensional solitons Phys. Lett. A 254 179-84
16. Nakazawa M, Kimura Y, Kurokawa K and Suzuki K 1992 Self-induced transparency solitons in an erbium-doped fiber waveguide Phys. Rev. A 45 R23-6
17. Nakazawa M, Suzuki K, Kimura Y and Kubota H 1992 Coherent π-pulse propagation with pulse breakup in an erbium-doped fiber waveguide amplifier Phys. Rev. A 45 R2682-5
18. Nakazawa M, Kimura Y and Kubota H 1991 Coexistence of self-induced transparency soliton and nonlinear Schrödinger soliton Phys. Rev. Lett. 66 2625-8
19. Blaauboer M, Malomed B A and Kurizki G 2000 Spatiotemporally localized multidimensional solitons in self-induced transparency media Phys. Rev. Lett. 84 1906-9
20. Kurizki G, Kozhekin A E and Malomed B A 2001 Optical solitons in periodic media with resonant and off-resonant nonlinearities Progress in Optics vol 42 (Amsterdam: North-Holland)
21. Kamchatnov A M 1997 New approach to periodic solutions of integrable equations and nonlinear theory of modulational instability Phys. Rep. 286 199-270
22. Porsezian K and Nakkeeran K 1995 Optical soliton propagation in an erbium doped nonlinear light guide with higher order dispersion Phys. Rev. Lett. 74 3101-8
23. Porsezian K and Nakkeeran K 1996 Coexistence of a self-induced transparency soliton and a higher order nonlinear Schrödinger soliton in an erbium doped fiber Opt. Commun. 123 169-74
24. He J S, Cheng Y and Li Y S 2002 The Darboux transformation for NLS-MB equations Commun. Theor. Phys. 38 493-6
25. Lugiato L A, Narducci L M and Squicciarini M F 1986 Exact linear stability analysis of the plane-wave Maxwell-Bloch equations for a ring laser Phys. Rev. A 34 3101-8
26. Du M, Chan K and Chui K 1995 A novel approach to solving the nonlinear Schrodinger equation by the coupled amplitude-phase formulation IEEE J. Quantum Electron. 31 177-82
27. Palacios S L, Guinea A, Fernandez-Daz J M and Crespo RD 1999 Dark solitary waves in the nonlinear Schrödinger equation with third order dispersion, self-steepening, and self-frequency shift Phys. Rev. E 60 R45-7
28. Tchofo Dinda P, Ngabireng C M, Porsezian K and Kalithasan B 2006 Modulational instability in optical fibers with arbitrary higher-order dispersion and delayed Raman response Opt. Commun. 266 142-50
29. Pitois S and Millot G 2003 Experimental observation of a new modulational instability spectral window induced by fourth-order dispersion in a normally dispersive single-mode optical fiber Opt. Commun. 226 415-22
30. Kitayama K, Okamoto K and Yoshinaga H 1988 Extended four-photon mixing approach to modulational instability J. Appl. Phys. 64 6586-7
31. Ito F and Kitayama K 1989 Experimental verification of frequency level-off of modulational instability in the minimum dispersion region Appl. Phys. Lett. 54 2503-5
32. Abdullaev F Kh, Darmanyan S A, Bischoff S, Christiansen PL and Sorensen M P 1994 Modulational instability in optical fibers near the zero dispersion point optics communications Opt. Commun. 108 60-4
33. Cavalcanti S B, Cressoni J C, da Cruz H R and Gouveia-Neto AS 1991 Modulation instability in the region of minimum group-velocity dispersion of single-mode optical fibers via an extended nonlinear Schrödinger equation Phys. Rev. A 43 6162-5
34. Nakkeeran K 2000 Non-existence of dark solitons in a nonlinear Schrödinger-Maxwell-Bloch fibre system J. Phys. A: Math. Gen. 33 7007-11
35. Matulic L and Eberly J E 1972 Analytic study of pulse chirping in self-induced transparency Phys. Rev. A 6 822-36
36. Aközbek N and John S 1998 Self-induced transparency solitary waves in a doped nonlinear photonic band gap material Phys. Rev. E 58 3876-95
37. Opatrny T, Malomed B A and Kurizki G 1999 Dark and bright solitons in resonantly absorbing gratings Phys. Rev. E 60 6137-49