K. Porsezian

Pondicherry University, Pondichéry, Pondicherry, India

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Publications (217)281.66 Total impact

  • Source
    T. Mithun, K. Porsezian, Bishwajyoti Dey
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    ABSTRACT: We study the vortex dynamics and vortex pinning effect in Bose-Einstein condensate in a rotating double-well trap potential and co-rotating optical lattice. We show that, in agreement with the experiment, the vortex number do not diverge when the rotational frequency $\Omega \rightarrow 1$ if the trap potential is of anisotropic double-well type. The critical rotational frequency as obtained from numerical simulations agrees very well with the value $\sqrt l/l$ for $l=4$ which supports the conjecture that surface modes with angular momentum $l=4$ are excited when the rotating condensate is trapped in double-well potential. The vortex lattice structure in a rotating triple-well trap potential and its pinning shows very interesting features. We show the existence and pinning of a new type of hidden vortices whose phase profile is similar to that of the visible vortices.
    08/2014;
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    ABSTRACT: We have proposed a novel APCFCs for multi-frequency generation and its optical performance for generating new frequency components are studied numerically by using SSFM. For our study, we have considered two cases namely one with same GVD and different nonlinearity and the other with different GVD as well as nonlinearity. From the results obtained, we are able to demonstrate considerable new frequency generation within a shorter distance. In particular, APCFC with different nonlinearity as well as GVD exhibits the better new frequency generation. Hence, by preparing such APCFC of greater length one can realize a significantly broader frequency spectrum.
    22nd National Laser Symposium, Manipal University, Manipal, Karnataka, India.; 08/2014
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    ABSTRACT: In this paper, we consider the complex modified Korteweg-de Vries (mKdV) equation as a model of few-cycle optical pulses. Using the Lax pair, we construct a generalized Darboux transformation and systematically generate the first-, second- and third-order rogue wave solutions and analyze the nature of evolution of higher-order rogue waves in detail. Based on detailed numerical and analytical investigations, we classify the higher-order rogue waves with respect to their intrinsic structure, namely, fundamental pattern, triangular pattern, and ring pattern. We also present several new patterns of the rogue wave according to the standard and non-standard decomposition. The results of this paper explain the generalization of higher-order rogue waves in terms of rational solutions. We apply the contour line method to obtain the analytical formulas of the length and width of the first-order RW of the complex mKdV and the NLS equations. In nonlinear optics, the higher-order rogue wave solutions found here will be very useful to generate high-power few-cycle optical pulses which will be applicable in the area of ultra-short pulse technology.
    Physical review. E, Statistical, nonlinear, and soft matter physics. 05/2014; 89(6-1).
  • R Radha, P S Vinayagam, K Porsezian
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    ABSTRACT: We study the dynamics of spatially coupled Bose-Einstein condensates and generate bright and dark solitons employing gauge transformation approach. We observe that when bright/dark solitons evolve in time, the centre of localization of the wave packet gets shifted to the left. We also notice that the spatial coupling stretches the wave packet which can be used as a mechanism to stabilize the condensates. The impact of spatial coupling is suitably exploited to generate an interference pattern in the collision of bright-bright, dark-dark and dark-bright solitons.
  • Source
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    ABSTRACT: We investigate the dynamical instability of Bose-Einstein condensates (BECs) with higher-order interactions immersed in an optical lattice with weak driving harmonic potential. For this, we compute both analytically and numerically a modified Gross-Pitaevskii equation with higher-order nonlinearity and external potentials generated by magnetic and optical fields. Using the time-dependent variational approach, we derive the ordinary differential equations for the time evolution of the amplitude and phase of modulational perturbation. Through an effective potential, we obtain the modulational instability condition of BECs and discuss the effect of the higher-order interaction in the dynamics of the condensates in presence of optical potential. We perform direct numerical simulations to support our analytical results, and good agreement is found.
    04/2014;
  • T. Mithun, K. Porsezian, Bishwajyoti Dey
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    ABSTRACT: We derive analytically the Feynman rule for the vortex number of a Bose-Einstein condensate in a rotating double-well potential. From the numerical simulations of the two-dimensional Gross-Pitaevskii equation we show that the double-well potential gives rise to hidden vortices in addition to the usual visible vortices. The Feynman rule matches with the total number of these two types of vortices. We show that, unlike the isotropic case, the vortex number do not diverge at Ο = 1 for the anisotropic case. We further show that the Feynman rule is also satisfied when the condensate is loaded in a co-rotating optical lattice.
    03/2014; 1591(1).
  • Source
    L. H. Wang, K. Porsezian, J. S. He
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    ABSTRACT: We present a novel triangular triple core photonic crystal fiber whose guiding cores are filtrated with highly nonlinear liquid CS2 for logic circuits application. The essential optical properties of the proposed triple core geometry are determined by employing the finite element method. The obtained optical properties are incorporated in the governing coupled nonlinear Schrödinger equations and the transmission characteristics are explored to determine the threshold power essential for the control signal using split step Fourier simulation. By using the calculated threshold power with appropriate phase and suitable input signals, we are able to demonstrate low power all optical logic operation.
    International conference on Optics and Opto-electronics (ICOL -2014), Instrument Research and Development Establishment (IRDE), Dehradun, India.; 03/2014
  • 22nd National Laser Symposium, Manipal University, Manipal, Karnataka, India.; 01/2014
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    ABSTRACT: We find self-trapped propagation of elliptical super-Gaussian beam in cubic–quintic nonlinear media. The soliton beam preserves its shape and size during propagation in Kerr media. Both defocusing and focusing quintic nonlinearities are considered. In a cubic (focusing)-quintic (defocusing) media breather like beam propagation with intriguing beam width oscillation is observed. The influence of beam ellipticity, super-Gaussian nature and quintic nonlinearity on self-trapping has been studied. A formula for critical power for self-focusing has been derived and it readily agrees with the results obtained by variational method. In Kerr and focusing quintic media beam collapse occurs quicker for higher order super-Gaussian beam. The critical power of self-focusing in defocusing (focusing) quintic medium prominently increases (decreases) with increasing strength of quintic nonlinearity. This variation rate is greater for higher order super Gaussian beam. A beam with greater ellipticity requires larger power for self-trapping.
    Optics Communications 01/2014; 332:311–320. · 1.44 Impact Factor
  • R Radha, P S Vinayagam, K Porsezian
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    ABSTRACT: We study the dynamics of spatially coupled Bose-Einstein conden- sates and generate bright and dark solitons employing gauge transformation approach. We observe that when bright/dark solitons evolve in time, the centre of localization of the wave packet gets shifted to the left. We also notice that the spatial coupling stretches the wave packet which can be used as a mechanism to stabilize the condensates. The impact of spatial coupling is suitably exploited to generate an interference pattern in the collision of bright-bright, dark-dark and dark-bright solitons.
    Romanian Reports in Physics 01/2014; 66(2):427-442. · 1.12 Impact Factor
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    ABSTRACT: We propose a novel highly nonlinear chalcogenide filled twin core photonic crystal fiber coupler (PCFC) for applications in all optical controlled devices. From the proposed coupler geometry, the necessary optical parameters namely, effective refractive index, dispersion, nonlinearity, coupling length and extinction coefficient are calculated by using the finite element method (FEM) at 1550 nm. The dynamical characteristics of the individual pulse parameters of an optical pulse propagation through the proposed design is analyzed numerically by employing split step Fourier method. And finally a transmission curve is arrived to explore the influence of high nonlinearity on the steering characteristics of the optical pulse through the proposed model.
    International Conference on Microwave and Photonics, ICMAP 2013, Dhanbad, Jharkhand; India; 12/2013
  • Source
    Shuwei Xu, K Porsezian, Jingsong He, Yi Cheng
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    ABSTRACT: The rotating reduced Maxwell-Bloch (RMB) equations, which describe the propagation of few-cycle optical pulses in a transparent media with two isotropic polarized electronic field components, are derived from a system of complete Maxwell-Bloch equations without using the slowly varying envelope approximations. Two hierarchies of the obtained rational solutions, including rogue waves, which are also called few-cycle optical rogue waves, of the rotating RMB equations are constructed explicitly through degenerate Darboux transformation. In addition to the above, the dynamical evolution of the first-, second-, and third-order few-cycle optical rogue waves are constructed with different patterns. For an electric field E in the three lower-order rogue waves, we find that rogue waves correspond to localized large amplitude oscillations of the polarized electric fields. Further a complementary relationship of two electric field components of rogue waves is discussed in terms of analytical formulas as well as numerical figures.
    Physical Review E 12/2013; 88(6-1):062925. · 2.31 Impact Factor
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    ABSTRACT: We use the time-dependent variational approach to demonstrate how the modulational and oscillatory instabilities can be generated in Bose-Einstein condensates (BECs) trapped in a periodic optical lattice with weak driving harmonic potential. We derive and analyze the ordinary differential equations for the time evolution of the amplitude and phase of the modulational perturbation, and obtain the instability condition of the condensates through the effective potential. The effect of the optical potential on the dynamics of the BECs is shown. We perform direct numerical simulations to support our theoretical findings, and good agreement is found.
    Physics Letters A 11/2013; 377(37):2408-2415. · 1.63 Impact Factor
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    ABSTRACT: We introduce a new integrable model to investigate the dynamics of two component quasi particle condensates with spatio temporal interaction strengths. We derive the associated Lax-pair of the coupled GP equation and construct matter wave solitons. We show that the spatio temporal binary interaction strengths not only facilitate the stabilization of the condensates, but also enables one to fabricate condensates with desirable densities, geometries and properties leading to the so called "designer quasi particle condensates".
    Chinese Physics B 10/2013; 23(3). · 1.15 Impact Factor
  • P S Vinayagam, R Radha, K Porsezian
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    ABSTRACT: Using gauge transformation method, we generate rogue waves for the two-component Bose-Einstein condensates (BECs) governed by the symmetric coupled Gross-Pitaevskii (GP) equations and study their dynamics. We also suggest a mechanism to tame the rogue waves either by manipulating the scattering length through Feshbach resonance or the trapping frequency, a phenomenon not witnessed in the domain of BECs, and we believe that these results may have wider ramifications in the management of rogons.
    Physical Review E 10/2013; 88(4-1):042906. · 2.31 Impact Factor
  • P. S. Vinayagam, R. Radha, K. Porsezian
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    ABSTRACT: Using Gauge transformation method, we generate rogue waves for the two component Bose Einstein Condensates (BECs) governed by the symmetric coupled Gross-Pitaevskii (GP) equations and study their dynamics. We also suggest a mechanism to tame the rogue waves either by manipulating the scattering length through Feshbach resonance or the trapping frequency, a new phenomenon not witnessed in the domain of BEC, we believe that these results may have wider ramifications in the management of rogons.
    09/2013;
  • Source
    R Radha, P S Vinayagam, K Porsezian
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    ABSTRACT: We reconsider the collisional dynamics of bright solitons in the coupled nonlinear Schrödinger equation. We observe that apart from the intensity redistribution in the interaction of bright solitons, one also witnesses a rotation of the trajectories of bright solitons. The angle of rotation can be varied by suitably manipulating the self-phase-modulation (SPM) or cross-phase-modulation (XPM) parameters. The rotation of the trajectories of the bright solitons arises due to the excess energy that is injected into the dynamical system through SPM or XPM. This extra energy contributes not only to the rotation of the trajectories, but also to the realignment of intensity distribution between the two modes. We also notice that the angular separation between the bright solitons can also be maneuvered suitably. The above results, which exclude quantum superposition for the field vectors, may have wider ramifications in nonlinear optics, Bose-Einstein condensates, and left- and right-handed metamaterials.
    Physical Review E 09/2013; 88(3-1):032903. · 2.31 Impact Factor
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    Tao Yong-Sheng, He Jing-Song, K. Porsezian
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    ABSTRACT: We use the 1-fold Darboux transformation (DT) of an inhomogeneous nonlinear Schrödinger equation (INLSE) to construct the deformed-soliton, breather, and rogue wave solutions explicitly. Furthermore, the obtained first-order deformed rogue wave solution, which is derived from the deformed breather solution through the Taylor expansion, is different from the known rogue wave solution of the nonlinear Schrödinger equation (NLSE). The effect of inhomogeneity is fully reflected in the variable height of the deformed soliton and the curved background of the deformed breather and rogue wave. By suitably adjusting the physical parameter, we show that a desired shape of the rogue wave can be generated. In particular, the newly constructed rogue wave can be reduced to the corresponding rogue wave of the nonlinear Schrödinger equation under a suitable parametric condition.
    Chinese Physics B 07/2013; 22(7):074210. · 1.15 Impact Factor
  • T Mithun, K Porsezian, Bishwajyoti Dey
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    ABSTRACT: We study vortex dynamics in a trapped Bose-Einstein condensate with tunable two- and three-body interactions. The dynamics is governed by two-dimensional cubic-quintic Gross-Pitaevskii equation. A time-dependent variational method has been used to obtain critical rotational frequency and surface mode frequency analytically and are compared with numerical simulation results. An imaginary time propagation method and Crank-Nicolson scheme for discretization have been used for numerical simulation. The numerically calculated average value of the angular momentum per particle shows very clearly its dynamical relation with the time development of the vortex formation. The rotational frequency dependence of the variation of average value of the angular momentum per particle with time shows that vortices form much faster in time for higher rotational frequency. Similarly, the vortex forms much faster in time with an increase of the strength of the repulsive three-body interaction. The simulation of the vortex lattice formation in the condensate shows that the presence of the three-body interactions does not alter the vortex lattice pattern but it helps in the shape deformations of the condensate thereby leading to vortex lattice formation. Likewise, the three-body interactions enable the vortex lattice formation in Bose-Einstein condensates even with attractive two-body interactions and in purely quintic BEC.
    Physical Review E 07/2013; 88(1-1):012904. · 2.31 Impact Factor

Publication Stats

886 Citations
281.66 Total Impact Points

Institutions

  • 2003–2014
    • Pondicherry University
      • Department of Physics
      Pondichéry, Pondicherry, India
  • 2013
    • Ningbo University
      Ning-po, Zhejiang Sheng, China
  • 2011
    • Laboratoire Interdisciplinaire Carnot de Bourgogne
      Champagne-Ardenne, France
  • 2008–2009
    • SASTRA University
      Tanjor, Tamil Nādu, India
    • Zhejiang Normal University
      • Department of Physics
      Jinhua, Zhejiang Sheng, China
  • 2006
    • Lomonosov Moscow State University
      Moskva, Moscow, Russia
    • Meritorious Autonomous University of Puebla
      Ejido Puebla, Baja California, Mexico
  • 2004–2005
    • Cochin University of Science and Technology
      • Department of Physics
      Cochin, Kerala, India
  • 1993–2002
    • Anna University, Chennai
      • Department of Physics
      Chennai, State of Tamil Nadu, India
  • 1987–1998
    • Bharathidasan University
      • Department of Physics
      Tiruchchirāppalli, State of Tamil Nadu, India