D.-M. Baboiu

University of Central Florida, Orlando, Florida, United States

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Publications (27)41.75 Total impact

  • D Mihalache, D Mazilu, D -M Baboiu, M Ciumac
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    ABSTRACT: The stability of stationary stripe non-linear surface waves propagating along the interface between a non-linear cladding and a linear substrate is studied numerically. Both Kerr law and saturable instantaneous self-focusing non-linearities are considered. The numerical calculations support the statement that the stationary stripe non-linear surface waves propagating at interfaces containing cubic (Kerr law) non-linearities are always unstable on propagation and the use of saturable non-linear media, leads to the stability on propagation for effective indices corresponding to the positively sloped branch of the non-linear dispersing curve.
    Pure and Applied Optics Journal of the European Optical Society Part A 12/1998; 2(4):393. DOI:10.1088/0963-9659/2/4/011
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    ABSTRACT: The authors show that investigations on the stability of nonlinear waves guided by planar structures greatly benefit when the conditions of marginal stability are considered on a suitable restricted parameter space. Relevant information is summarized in a few diagrams, so that waveguiding properties can be immediately read off from them, and critical power-independent values of the waveguide parameters to ensure stable TE0 propagation are obtained for a particular structure.
    Pure and Applied Optics Journal of the European Optical Society Part A 12/1998; 2(3):235. DOI:10.1088/0963-9659/2/3/008
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    ABSTRACT: We used the Riemann problem method with a 3*3 matrix system to find the femtosecond single soliton solution for a perturbed nonlinear Schrodinger equation which describes bright ultrashort pulse propagation in properly tailored monomode optical fibres. Compared with the Gel'fand-Levitan-Marchenko approach, the major advantage of the Riemann problem method is that it provides the general single soliton solution in a simple and compact form. Unlike the standard nonlinear Schrodinger equation, here the single soliton solution exhibits periodic evolution patterns.
    Journal of Physics A General Physics 12/1998; 27(18):6177. DOI:10.1088/0305-4470/27/18/026
  • D.-M. Baboiu, G. I. Stegeman
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    ABSTRACT: We investigate numerically the interaction between two light beams, initially monochromatic, during the excitation of solitary waves in quadratically non-linear media. We show that the result of the interaction is strongly dependent on soliton oscillations occurring during excitation, generating a new class of threshold phenomena.
    Optical and Quantum Electronics 09/1998; 30(7):849-859. DOI:10.1023/A:1006922325577 · 1.08 Impact Factor
  • D.-M. Baboiu, G. I. Stegeman
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    ABSTRACT: The effect of a small modulation superimposed on a strip (1D) solitary wave propagating in a bulk quadratic medium was investigated both analytically and numerically near Type I phase matching. General, exact results were obtained. By using first order perturbation theory, we obtained the gain coefficient for the modulational instability and the modulation cut-off frequency and we investigated their dependence on various beam and material parameters. The wave evolves into a clean periodic sequence of solitary waves and does not reproduce the incident beam. We showed that the beam breakup observed experimentally is due entirely to noise induced modulational instability.
    Optical and Quantum Electronics 09/1998; 30(7):937-954. DOI:10.1023/A:1006938511523 · 1.08 Impact Factor
  • D M Baboiu, George I. Stegeman
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    ABSTRACT: The evolution of a strip (one-dimensional) fundamental beam with propagation distance owing to spatial modulational instabilities was analyzed in a quadratic medium near type I phase matching. We obtained the gain coefficient for the modulational instability and showed that the wave evolves into a clean periodic sequence of solitary waves and does not reproduce the incident beam.
    Optics Letters 02/1998; 23(1):31-3. DOI:10.1364/OL.23.000031 · 3.18 Impact Factor
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    ABSTRACT: A novel type of spatial modulational instability induced by the dynamical interaction of two strongly coupled fundamental and harmonic fields in a second-order nonlinear optical material is demonstrated experimentally. This phenomenon is explained theoretically on the basis of a one-dimensional Floquet theory. At high intensities, the formation of a 1D solitary wave lattice is superseded by the onset of 2D modulational instabilities.
    Physical Review Letters 04/1997; 78(14):2756-2759. DOI:10.1103/PhysRevLett.78.2756 · 7.73 Impact Factor
  • D.-M. Baboiu, G. I. Stegeman
  • D M Baboiu, G I Stegeman
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    ABSTRACT: Summary form only given. During the past three years, interest has grown rapidly in the theoretical and experimental study of solitary waves in materials with second-order nonlinearities, especially after they were experimentally observed in geometries with one or two transverse dimensions. A stable solitary wave consists of both a strongly coupled fundamental and harmonic beam. When two such solitary waves interact, it has been shown that the behavior of the output solitary waves is strongly influenced by the relative phase between the two input solitary waves and can generate, in the same material, phenomena similar to those predicted for self-focusing.
    Quantum Electronics and Laser Science Conference, 1996. QELS '96., Summaries of Papers Presented at the; 07/1996
  • N.-C. Panoiu, D Mihalache, D.-M. Baboiu
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    ABSTRACT: The dark-soliton timing jitters caused by fluctuations in either the soliton initial phase angle or the background amplitude when such a soliton propagates in a monomode optical fiber under the influence of the stimulated Raman scattering are investigated and compared with those that exist when the stimulated Raman scattering is not present. In addition, it is demonstrated that in the presence of the stimulated Raman scattering, there exists a distance at which, for the negative soliton initial phase angle, the dark-soliton timing jitter caused by fluctuations in the background amplitude becomes zero.
    Physical Review A 12/1995; 52(5):4182-4186. DOI:10.1103/PhysRevA.52.4182 · 2.99 Impact Factor
  • D M Baboiu, G I Stegeman, L Torner
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    ABSTRACT: The interaction of spatial solitary waves with one transverse dimension in materials with a χ(2):χ(2) nonlinearity is investigated. The relation between the phases of the two interacting solitary waves strongly influences this interaction and generates threshold phenomena.
    Optics Letters 11/1995; 20(22):2282. DOI:10.1364/OL.20.002282 · 3.18 Impact Factor
  • D M Baboiu, D Mihalache, N C Panoiu
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    ABSTRACT: Amplified spontaneous emission noise generates fluctuations in soliton energy and therefore fluctuations in the Raman self-frequency shift and in the group velocity. The corresponding timing jitter is found to be the main limitation for communication distances less than 1500 km.
    Optics Letters 09/1995; 20(18):1865-7. DOI:10.1364/OL.20.001865 · 3.18 Impact Factor
  • M. Ciumac, D. M. Baboiu, D. Mihalache
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    ABSTRACT: The conditions of occurrence of both TE and TM dominant hybrid guided modes in a semi- infinite antiguide array in contact with a positive birefringent uniaxial material are investigated by using the 4 X 4 transfer matrix method. The dispersion relation of hybrid guided modes is exactly calculated. The band structures for the allowed values of the propagation constant and of the anisotropic medium optical axis orientation are illustrated numerically. The upper cutoff thicknesses for various hybrid guided modes are obtained.
    Proceedings of SPIE - The International Society for Optical Engineering 03/1995; DOI:10.1117/12.203551 · 0.20 Impact Factor
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    ABSTRACT: We used the Riemann Problem Method with a 3 X 3 matrix system to find the single soliton solution for a perturbed nonlinear Schrodinger equation in the most compact form. The considered equation describes bright ultrashort pulse propagation in properly tailored monomode optical fibers. The propagation of different single soliton solutions under the influence of the self-induced Raman effect was illustrated. Unlike the single soliton solution of the standard nonlinear Schrodinger equation we found that one of the our soliton solution can exhibit instability which leads to soliton fission.
    Proceedings of SPIE - The International Society for Optical Engineering 03/1995; DOI:10.1117/12.203544 · 0.20 Impact Factor
  • M. Ciumac, D.-M. Baboiu, D. Mihalache
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    ABSTRACT: The conditions of occurence of hybrid surface modes in a periodic stratified dielectric structure in contact with a positive birefringent uniaxial material are studied by using the 4 X 4 transfer matrix formalism. The dispersion relation and the total power flow of hybrid surface modes are exactly calculated. The band structures for the allowed values of the propagation constant and of the anisotropic medium optical axis orientation are illustrated numerically. The upper cutoff thickness for various hybrid surface modes in the antiguide array structure in contact with a positive uniaxial medium are obtained.
    Optics Communications 10/1994; 111(5-6-111):548-555. DOI:10.1016/0030-4018(94)90534-7 · 1.54 Impact Factor
  • D. Mihalache, D.-M. Baboiu, D. Mazilu
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    ABSTRACT: A strip waveguide with a nonlinear substrate is investigated numerically. Both stationary wave propagation and Gaussian beam excitation were simulated. The Crank-Nicolson finite-difference scheme, combined with the transparent boundary condition, which employs no adjustable parameters, was used in the three dimensional calculations. The numerics support the statement that the stationary three dimensional nonlinear guided waves are stable on propagation for propagation constants corresponding to the ascending branches of the nonlinear dispersion curves. We found that in certain conditions, unstable nonlinear guided waves decay by emitting a spatial solitary wave into the nonlinear self-focusing substrate. Similar effects occur in the case of end firing of Gaussian beams in the nonlinear strip waveguide.
    Optics Communications 08/1994; 110(1-2-110):67-74. DOI:10.1016/0030-4018(94)90173-2 · 1.54 Impact Factor
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    ABSTRACT: Hybrid surface plasmon polaritons propagating in a new configuration comprising an ultrathin metal film bounded by a positive birefringent crystal on one side and a glass material on the other side are investigated. The results show that the conditions for existence of such hybrid surface plasmon polaritons have a strong dependence on the structure parameters. This feature opens the way for a new type of optical sensor with directional sensitivity.
    Optical and Quantum Electronics 07/1994; 26(8):857-863. DOI:10.1007/BF00435090 · 1.08 Impact Factor
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    ABSTRACT: The propagation of stationary three-dimensional nonlinear guided waves and of Gaussian beams in a slab waveguide in which the cladding displays both Kerr-law and saturable instantaneous self-focusing nonhnear-ities is simulated numerically. The numerical analysis supports the hypothesis that the stationary three-dimensional nonlinear guided waves are stable on propagation for propagation constants corresponding to the ascending branches of the nonlinear dispersion curves. The numerical simulations of the Gaussian-beam propagation in the nonlinear slab waveguide illustrate both diffraction and nonlinear effects such as solitary-wave emission. The transparent-boundary condition, which employs no adjustable parameters and is easily incorporated into a Crank-Nicolson finite-difference scheme, was used in the three-dimensional calculations.
    Journal of the Optical Society of America B 07/1994; 11(7). DOI:10.1364/JOSAB.11.001244 · 1.81 Impact Factor
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    ABSTRACT: The existence of totally guided waves, TE-dominant, in properly tailored structures containing an ultrathin dielectric film of low refractive index deposited onto an anisotropic uniaxial substrate is predicted. The conditions of occurrence of these hybrid guided waves are studied.
    Optics Communications 06/1994; 108(4-6):239-242. DOI:10.1016/0030-4018(94)90656-4 · 1.54 Impact Factor

Publication Stats

327 Citations
41.75 Total Impact Points

Institutions

  • 1995–1998
    • University of Central Florida
      • Center for Research and Education in Optics and Lasers
      Orlando, Florida, United States
  • 1994
    • Polytechnic University of Catalonia
      • Department of Signal Theory and Communications (TSC)
      Barcelona, Catalonia, Spain
  • 1993
    • Friedrich Schiller University Jena
      Jena, Thuringia, Germany