• Title/Summary/Keyword: Lorentz

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Spreading of a Lorentz-Gauss Vortex Beam Propagating through Oceanic Turbulence

  • Liu, Dajun;Yin, Hongming;Wang, Guiqiu;Wang, Yaochuan
    • Current Optics and Photonics
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    • v.3 no.2
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    • pp.97-104
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    • 2019
  • Based on the extended Huygens-Fresnel principle, the analytical equation for a Lorentz-Gauss vortex beam propagating through oceanic turbulence has been derived. The spreading properties of a Lorentz-Gauss vortex beam propagating through oceanic turbulence are analyzed in detail using numerical examples. The results show that a Lorentz-Gauss vortex beam propagating through stronger oceanic turbulence will spread more rapidly, and the Lorentz-Gauss vortex beam with higher topological charge M will lose its initial dark center more slowly.

ON A LIMIT CLASS OF LORENTZ OPERATOR IDEALS

  • Song, Hi Ja
    • Korean Journal of Mathematics
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    • v.11 no.2
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    • pp.93-109
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    • 2003
  • We give an extensive presentation of results about the behaviour of the approximation operator ideals $\mathcal{L}_{{\infty},q}$ in connection with the Lorentz operator ideals $\mathcal{L}_{p,q}$.

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THE RELATIONSHIP BETWEEN NONCOMMUTATIVE AND LORENTZVIOLATING PARAMETERS IN QUANTUM

  • HEIDARI, A.;GHORBANI, F.;GHORBANI, M.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.3
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    • pp.205-216
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    • 2012
  • When it comes to Lorentz symmetry violation, there are generally two approaches to studying noncommutative field theory: 1) conventional fields are equivalent to noncommutative fields; however, symmetry groups are larger. 2) The symmetry group is the same as conventional standard model's symmetry group; but fields here are written based on the Seiberg-Witten map. Here by adopting the first approach, we aim to connect Lorentz violation coefficients with noncommutative parameters and compare the results with the second approach's results. Through the experimental values obtained for the Lorentz-violating parameters, we obtain a limit of noncommutative symmetry.

WAVELET CHARACTERIZATIONS OF VARIABLE HARDY-LORENTZ SPACES

  • Yao He
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.489-509
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    • 2024
  • In this paper, let q ∈ (0, 1]. We establish the boundedness of intrinsic g-functions from the Hardy-Lorentz spaces with variable exponent Hp(·),q(ℝn) into Lorentz spaces with variable exponent Lp(·),q(ℝn). Then, for any q ∈ (0, 1], via some estimates on a discrete Littlewood-Paley g-function and a Peetre-type maximal function, we obtain several equivalent characterizations of Hp(·),q(ℝn) in terms of wavelets.

ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE

  • Fu, Yu;Yang, Dan
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.227-245
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    • 2016
  • A generalized constant ratio surface (GCR surface) is defined by the property that the tangential component of the position vector is a principal direction at each point on the surface, see [8] for details. In this paper, by solving some differential equations, a complete classification of Lorentz GCR surfaces in the three-dimensional Minkowski space is presented. Moreover, it turns out that a flat Lorentz GCR surface is an open part of a cylinder, apart from a plane and a CMC Lorentz GCR surface is a surface of revolution.

Electronic Circuit Analysis of the Lorentz Chaotic System for Engineering Applications (공학적 응용을 위한 로렌츠 카오스 시스템의 전자회로 해석)

  • Han, Sang-Baek;Jo, Mun-Kyu;Song, Han-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.1
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    • pp.311-316
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    • 2012
  • In this paper, chaotic circuit of the Lorentz system for engineering applications was implemented using resistor, multipliers, capacitors and operational amplifiers. The implemented Lorentz chaotic system was analysed by PSPICE program. PSPICE simulation results show many kind of chaotic phenomena such time waveforms and phase plots. Meanwhile, according to resistor's variation, we got that Lorentz system show equilibrium state, periodic state and chaotic state.

Classification of Ruled Surfaces with Non-degenerate Second Fundamental Forms in Lorentz-Minkowski 3-Spaces

  • Jung, Sunmi;Kim, Young Ho;Yoon, Dae Won
    • Kyungpook Mathematical Journal
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    • v.47 no.4
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    • pp.579-593
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    • 2007
  • In this paper, we study some properties of ruled surfaces in a three-dimensional Lorentz-Minkowski space related to their Gaussian curvature, the second Gaussian curvature and the mean curvature. Furthermore, we examine the ruled surfaces in a three-dimensional Lorentz-Minkowski space satisfying the Jacobi condition formed with those curvatures, which are called the II-W and the II-G ruled surfaces and give a classification of such ruled surfaces in a three-dimensional Lorentz-Minkowski space.

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The Simulation of MAS-NMR Spectrum by the Voight Lineshape (Voight 함수를 이용한 MAS-NMR 스펙트럼 시뮬레이션)

  • Kang, Myoung Jin;Shim, Moon Sik;Ryu, Yung Rae
    • Journal of Korean Ophthalmic Optics Society
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    • v.2 no.1
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    • pp.17-24
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    • 1997
  • The Voight function which results from the convolution of the Gauss and Lorentz function is applied the MAS-NMR simulation of mixed alkali glasses and the glasses doped transition metal oxides. It is well known that the convolution of the Gauss and Lorentz function cannot be integrated in closed form for arbitrary values. So we make the new computer simulation program from which the Voight lineshape is obtained. The results are accorded well with the MAS-NMR spectra and we can find out the very small change of MAS-NMR lineshape.

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A NULL FOCAL THEOREM ON LORENTZ MANIFOLDS

  • So, Jae-Up
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.273-284
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    • 2001
  • Let P be a spacelike (n-2)-dimensional submanifold of an n-dimensional Lorentz manifold M and let$\sigma$ be a P-normal null geodesic with Ric($\sigma',\sigma'$)$\geq$m, for the any given nonpositive constant m. We establish a sufficient condition such that there is a focal point of P along $\sigma$.

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