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In this paper, we have developed a theory (using parabolic equation approach) of coupled propagation of two coaxially co-propagating and mutually incoherent bright 1-D beams in Kerr type media. We have provided a detailed account of the propagation behavior and condition of formation of spatial soliton pairs for various coupling coefficients ( = 1, 2/3, 2) when wavelengths and widths of the beams are the same/different. We have also identified conditions for a distinct type of coupled propagation. Our simple and straightforward theory presents many features of co-propagating beams which are in agreement with the features reported earlier using coupled nonlinear Schrödinger equation (NLSE). The paper adds to the understanding of coupled propagation by revealing many additional features not reported earlier.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
243--259
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
autor
autor
- Department of Applied Physics, Birla Institute of Technology, Mesera, Renchi-835215, India
Bibliografia
- [1] SEGEV M., CROSIGNANI B., YARIV A., FISCHER B., Spatial solitons in photorefractive media, Physical Review Letters 68(7), 1992, pp. 923–6.
- [2] TORRUELLAS W.E., WANG Z., HAGAN D.J., VAN STRYLAND E.W., STEGEMAN G.I. , TORNER L., MENYUK C.R., Observation of two-dimensional spatial solitary waves in a quadratic medium, Physical Review Letters 74(25), 1995, pp. 5036–9.
- [3] TIKHONENKO V., CHRISTOU J., LUTHER-DAVIES B., Three dimensional bright spatial soliton collision and fusion in a saturable nonlinear medium, Physical Review Letters 76(15), 1996, pp. 2698–701.
- [4] STEGEMAN G.I., SEGEV M., Optical spatial solitons and their interactions: universality and diversity, Science 286(5444), 1999, pp. 1518–23.
- [5] SEGEV M., MING-FENG SHIH, VALLEY G.C., Photorefractive screening solitons of high and low intensity, Journal of the Optical Society of America B: Optical Physics 13(4), 1996, pp. 706–18.
- [6] KIVSHAR Y.S., Dark solitons in nonlinear optics, IEEE Journal of Quantum Electronics 29(1), 1993, pp. 250–64.
- [7] SNYDER A.W., MITCHELL D.J., KIVSHAR Y.S., Unification of linear and nonlinear wave optics, Modern Physics Letters B 9(23), 1995, pp. 1479–506.
- [8] SONG LAN, MING-FENG SHIH, MIZELL G., GIORDMAINE J.A., ZHIGANG CHEN, ANASTASSIOU C., MARTIN J., SEGEV M., Second-harmonic generation in waveguides induced by photorefractive spatial solitons, Optics Letters 24(16), 1999, pp. 1145–7.
- [9] KIVSHAR Y.S., AGRAWAL G., Optical Solitons: From Fibers to Photonic Crystals, Academic Press, San Diego 2003.
- [10] MEDHEKAR S., SARKAR R.K., All-optical passive transistor, Optics Letters 30(8), 2005, pp. 887–9.
- [11] SCHEUER J., ORENSTEIN M., Interactions and switching of spatial soliton pairs in the vicinity of a nonlinear interface, Optics Letters 24(23), 1999, pp. 1735–7.
- [12] SCHEUER J., ORENSTEIN M., All-optical gates facilitated by soliton interactions in a multilayered Kerr medium, Journal of the Optical Society of America B: Optical Physics 22(6), 2005, pp. 1260–7.
- [13] MEDHEKAR S., PALTANI P.P., Proposal for optical switch using nonlinear refraction, IEEE Photonics Technology Letters 18(15), 2006, pp. 1579–81.
- [14] DE LA FUENTE R., BARTHELEMY A., Spatial solitons pairing by cross phase modulation, Optics Communications 88(4–6), 1992, pp. 419–23.
- [15] ZHIGANG CHEN, SEGEV M., COSKUN T.H., CHRISTODOULIDES D.N., KIVSHAR Y., Coupled photorefractive spatial-soliton pairs, Journal of the Optical Society of America B: Optical Physics 14(11), 1997, pp. 3066–77.
- [16] KANG J.U., STEGEMAN G.I., AITCHISON J.S., AKHMEDIEV N., Observation of Manakov spatial solitons in AlGaAs planar waveguides, Physical Review Letters 76(20), 1996, pp. 3699–702.
- [17] MALOMED B.A., Polarization dynamics and interactions of solitons in a birefringent optical fiber, Physical Review A: Atomic, Molecular, and Optical Physics 43(1), 1991, pp. 410–23.
- [18] MALOMED B.A., TASGAL R.S., Internal vibrations of a vector soliton in the coupled nonlinear Schrödinger equations, Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 58(2), 1998, pp. 2564–75.
- [19] MEDHEKAR S., SARKAR R. K., PALTANI P.P., Coupled spatial-soliton pairs in saturable nonlinear media, Optics Letters 31(1), 2006, pp. 77–9.
- [20] MUSSLIMANI Z.H., SEGEV M., CHRISTODOULIDES D.N., SOLJACIC M., Composite multihump vector solitons carrying topological charge, Physical Review Letters 84(6), 2000, pp. 1164–7.
- [21] SODHA M.S., TEWARI D.P., KAMAL J., TRIPATHI V.K., Cross-focusing of two coaxial laser beams in a dielectric, Radio Science 8(6), 1973, pp. 559–62.
- [22] AKHMANOV S.A., SUKHORUKOV A.P., KHOKHLOV R.V., Self-focusing and diffraction of light in a nonlinear medium, Soviet Physics Uspekhi 10(5), 1968, pp. 609–36 (original: Uspekhi Fizicheskii Nauk 93(1–2), 1967, pp. 19–70).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW9-0004-0097