• Current Optics and Photonics
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• 제3권2호
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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.

• Korean Journal of Mathematics
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• 제11권2호
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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 $\mathcal{L}_{p,q}$.

• 호남수학학술지
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• 제30권4호
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• pp.743-748
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• 2008

In this article, we study ruled hypersurfaces in a Lorentz-Minkowski space which has finite type immersion. As a result, we give a complete classification of ruled hypersurfaces or finite type immersion into a Lorentz-Minkowski space ${\mathbb{L}}^m$.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제16권3호
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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.

• 대한수학회보
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• 제61권2호
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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 H^p(·),q(ℝⁿ) into Lorentz spaces with variable exponent L^p(·),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 H^p(·),q(ℝⁿ) in terms of wavelets.

• 대한수학회보
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• 제53권1호
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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.

• 한국산학기술학회논문지
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• 제13권1호
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• pp.311-316
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• 2012

본 논문에서는 공학적 응용을 위한 로렌츠 카오스 시스템을 연산증폭기, 곱셈기 등을 이용하여 전자회로로 설계하였다. 시간파형, 위상특성 등 여러 가지 카오스 동적특성 등을 PSPICE 모의실험을 통하여 파악하였다. 저항값의 변화를 통하여 카오스 특성을 얻기 위한 최적화 된 회로 파라미터를 구하였으며, 각 저항값의 변화에 따른 시간파형 특성 및 위상 특성을 구하였다.

• Kyungpook Mathematical Journal
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• 제47권4호
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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.

• 한국안광학회지
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• 제2권1호
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• pp.17-24
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• 1997

Gauss 함수와 Lorentz 함수의 convolution인 Voight 함수를 혼합 알칼리 유리, 전이금속 산화물을 첨가시킨 유리 등의 MAS-NMR 스펙트럼의 시뮬레이션에 적용시켜 보았다. Gauss와 Lorentz의 convolution은 적분할 수 없으므로 어떤 형태를 갖는 Voight 함수는 없다. 그래서 컴퓨터를 이용한 개념적(원시적) 적분 방법으로 각 진동수에 대하여 Voight 함수 값을 얻었고, 그것은 MAS-NMR 스펙트럼과 매우 잘 일치하였다. 이 과정에서 MAS-NMR lineshape의 변화(Gauss에서 Lorentz lineshape으로의 변화 또는 그 반대)를 알 수 있다. 그러므로 다음과 같은 경우는 주의해야 할 것으로 생각된다. 유리의 구조, 전도 기구 또는 혼합 알칼리 효과 등을 연구하기 위해 NMR 스펙트럼을 컴퓨터 시뮬레이션 할 때 NMR 스펙트럼의 lineshape을 Gauss 함수 꼴로 가정해서 수행하는 경우가 대부분인데 이때 주의해야 할 것이다. 왜냐하면, NMR 스펙트럼 선 모양이 실제로는 Voight 함수 형태로 나타날 수 있기 때문이다.

• 대한수학회보
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• 제38권2호
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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 $\sigma$.