• 제목/요약/키워드: Soliton

검색결과 159건 처리시간 0.026초

Dark Spatial Soliton Generation in the Photorefractive Photovoltaic Material (광굴절 광기전력 매질에서 어두운 공간솔리톤 발생)

  • 전남희;전진호;이재형;장준성
    • Proceedings of the Optical Society of Korea Conference
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    • 한국광학회 2000년도 제11회 정기총회 및 00년 동계학술발표회 논문집
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    • pp.312-313
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    • 2000
  • 공간솔리톤(spatial soliton)은 빔이 매질을 진행할 때 자기집속 효과(self-focusing effect) 와 자기확산 효과(self-defocusing effect)에 의해서 회절이 보상되어 형성된다. Kerr 매질에서는 굴절률의 변화가 빔의 세기에 비례하하므로 솔리톤을 발생시키기 위해서는 수 MW/$ extrm{cm}^2$ 이상인 빔의 세기가 요구된다. 광굴절 매질은 광굴절효과에 의해서 굴절률의 변화로 공간솔리톤을 발생시킨다. 비균일한 빔이 매질에 입사되면 전도대로 여기된 free carrier가 분포 차이에 의해서 확산이 일어나게 된다. 그리고 외부에서 걸어준 전기장 및 광기전력 효과로 인한 drift가 일어나게 되고 이것에 의해 생긴 공간 전하장(space charge field)에 의하여 굴절률의 변화가 생긴다. (중략)

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η-RICCI SOLITONS ON TRANS-SASAKIAN MANIFOLDS WITH QUARTER-SYMMETRIC NON-METRIC CONNECTION

  • Bahadir, Oguzhan;Siddiqi, Mohd Danish;Akyol, Mehmet Akif
    • Honam Mathematical Journal
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    • 제42권3호
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    • pp.601-620
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    • 2020
  • In this paper, firstly we discuss some basic axioms of trans Sasakian manifolds. Later, the trans-Sasakian manifold with quarter symmetric non-metric connection are studied and its curvature tensor and Ricci tensor are calculated. Also, we study the η-Ricci solitons on a Trans-Sasakian Manifolds with quartersymmetric non-metric connection. Indeed, we investigated that the Ricci and η-Ricci solitons with quarter-symmetric non-metric connection satisfying the conditions ${\tilde{R}}.{\tilde{S}}$ = 0. In a particular case, when the potential vector field ξ of the η-Ricci soliton is of gradient type ξ = grad(ψ), we derive, from the η-Ricci soliton equation, a Laplacian equation satisfied by ψ. Finally, we furnish an example for trans-Sasakian manifolds with quarter-symmetric non-metric connection admitting the η-Ricci solitons.

Magnetic-vortex Dynamic Quasi-crystal Formation in Soft Magnetic Nano-disks

  • Kim, Junhoe;Kim, Sang-Koog
    • Journal of Magnetics
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    • 제22권1호
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    • pp.29-33
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    • 2017
  • We report a micromagnetic numerical study on different quasi-crystal formations of magnetic vortices in a rich variety of dynamic transient states in soft magnetic nano-disks. Only the application of spin-polarized dc currents to a single magnetic vortex leads to the formation of topological-soliton quasi-crystals composed of different configurations of skyrmions with positive and negative half-integer numbers (magnetic vortices and antivortices). Such topological object formations in soft magnets, not only in the absence of Dzyaloshinskii-Moriya interaction but also without magnetocrystalline anisotropy, are discussed in terms of two different topological charges, the winding number and the skyrmion number. This work offers an insight into the dynamic topological-spin-texture quasi-crystal formations in soft magnets.

Infrared Absorption Spectroscopic Studies of ${\alpha},{\omega}$-Diphenylpolyenyl Anions with Odd Numbered Polyene Molecules

  • Kim, Jin Yeol;Kim, Eung Ryeol;Son, Dae Won
    • Bulletin of the Korean Chemical Society
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    • 제22권8호
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    • pp.833-836
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    • 2001
  • Infrared absorption spectra of $\alpha\omega-diphenylpolyenyl$, anions Ph(CH)nPh- (DPn-, n=7, 9, and 13) in the tetrahydrofuran-d6 solutions was measured in the range of 1700 and 1200 cm-1 . The infrared spectra obtained from anions (DPn) showed considerable difference from their neutral species (DPn); their intensities were enhanced at least two orders of magnitude stronger than their neutral species. The in-plane CH bending modes at 1464 and 1375 cm-1 are correspondingly strengthened with the chain length increased, but the C=C stretching at 1541 cm-1 is weakened and frequencies are not changed. We provide an IR evidence for the first time that the bond order or bond alternations of the anions (soliton) are different from those of radical anions (polaron) as well as neutral species.

HOPF HYPERSURFACES OF THE HOMOGENEOUS NEARLY KÄHLER 𝕊3 × 𝕊3 SATISFYING CERTAIN COMMUTING CONDITIONS

  • Xiaomin, Chen;Yifan, Yang
    • Bulletin of the Korean Mathematical Society
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    • 제59권6호
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    • pp.1567-1594
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    • 2022
  • In this article, we first introduce the notion of commuting Ricci tensor and pseudo-anti commuting Ricci tensor for Hopf hypersurfaces in the homogeneous nearly Kähler 𝕊3 × 𝕊3 and prove that the mean curvature of hypersurface is constant under certain assumptions. Next, we prove the nonexistence of Ricci soliton on Hopf hypersurface with potential Reeb vector field, which improves a result of Hu et al. on the nonexistence of Einstein Hopf hypersurfaces in the homogeneous nearly Kähler 𝕊3 × 𝕊3.

A Nonlinear Theory for Wave Resistance and Squat of a Slender Ship Advancing Near the Critical Speed in Restricted Water (제한수로에서 임계속도로 항진하는 선박의 조파저항, 침하 및 종경사에 대한 비선형 해석)

  • Hang-S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
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    • 제26권4호
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    • pp.3-13
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    • 1989
  • In recent towing tank experiments, it has been observed that a ship moving near the critical speed $\sqrt{gh}$(g=gravitational acceleration, h=water depth) radiates solitons upstream in an almost periodic manner. As a ,consequence, the ship experiences considerable changes in resistance, trim and sinkage, or better known as squat. Mei and Choi(1987) developed a nonlinear theory for a slender ship by using the method of matched asymptotic expansions. For a certain class of channel width and ship slenderness, they found that the waves generated can be described by an inhomogeneous Korteweg-de Vries(KdV) equation. The leading-order solution properly predicts solitons propagating upstream, but it fails to render three-dimensional waves in the wake. In this paper a new approach has been made by choosing a different class of channel width and ship slenderness. The wave equation in the farfield turns out to be a homogeneous Kadomtsev-Petviashvili(KP) equation, which predicts solitons upstream and three-dimensional waves in the wake. Numerical results for the wave resistance, sinkage and trim reflect the experimentally identified phenomena.

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Solitin Pulse Generation with Mode-Locked Erbium-Doped Fiber Laser Using Nonlinear Amplifying Loop Mirror (Nonlinear Amplifying Loop Mirror를 사용하여 모우드 록킹된 Erbium 첨가 광섬유 레이저에서 발생하는 솔리톤 펄스)

  • 박희갑;임경아
    • Korean Journal of Optics and Photonics
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    • 제6권2호
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    • pp.142-147
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    • 1995
  • Soliton pulse outputs are generated with figure '8' type erbium-doped fiber laser mode-locked by using a fiber loop mirror. The fiber loop mirror consists of an erbium-doped fiber amplifier at the one end of the loop, and 504 m-long dispersion-shifted fiber as a nonlinear medium. By pumping with a $1.48{\mu}m$ wavelength laser diode and adjusting the polarization controllers inside the loop, soliton pulses are generated with 1574 nm center wavelength and 1.2 nm linewidth. The soliton pulses are found randomly spaced within the fundamental period corresponding to cavity round trip time. The autocorrelation trace shows that the pulse width is 2.4 ps, which is in good agreement with the theoretical prediction. The pulsewidth- bandwidth product is found to be 0.348 which means that the pulses are nearly transform-limited.imited.

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