• 대한수학회논문집
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• 제38권2호
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• pp.589-598
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• 2023

Magnetic curves are the trajectories of charged particals which are influenced by magnetic fields and they satisfy the Lorentz equation. It is important to find relationships between magnetic curves and other special curves. This paper is a study of magnetic curves and this kind of relationships. We give the relationship between β-magnetic curves and Mannheim, Bertrand, involute-evolute curves and we give some geometric properties about them. Then, we study this subject for γ-magnetic curves. Finally, we give an evaluation of what we did.

• 호남수학학술지
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• 제41권1호
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• pp.175-183
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• 2019

In this paper, it is investigated Lorentz force equations for $N_1$ and $N_2$-magnetic curves in 3-Dimensional Euclidean space. We give the Lorentz force in the Bishop frame in ${\mathbb{E}}^3$. Then, we obtain a new characterization for a magnetic field V. Also, we also give examples for each curve.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.587-601
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• 2022

We find the characterizations of the curvatures of Legendre curves and magnetic curves in Kenmotsu manifolds with C-parallel and C-proper mean curvature vector fields in the tangent and normal bundles. Finally, an illustrative example is presented.

• 한국초전도저온공학회:학술대회논문집
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• 한국초전도저온공학회 1999년도 제1회 학술대회논문집(KIASC 1st conference 99)
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• pp.73-76
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• 1999

Superconductors are dissipative when exposed to time-varying magnetic fields. To analyze the AC characteristics of the superconductor, one usually needs to know magnetization curves of it. A good magnetization curves can be obtained only in a homogeneous magnetic field. In this paper, we report the fabrication and test results of a homogeneous magnet, which aims to give background magnetic fields for the superconductor.

• 대한수학회지
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• 제58권6호
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• pp.1501-1511
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• 2021

In this paper we study magnetic trajectories on ℍ³ × ℝ with respect to the strictly almost Kähler structure. We find three types of magnetic curves which correspond to the almost complex structure compatible to the product metric on ℍ³ × ℝ.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제27권2호
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• pp.83-96
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• 2020

In this paper we study Biharmonic curves, Legendre curves and Magnetic curves in three dimensional f-Kenmotsu manifolds. We also study 1-type curves in a three dimensional f-Kenmotsu manifold by using the mean curvature vector field of the curve. As a consequence we obtain for a biharmonic helix in a three dimensional f-Kenmotsu manifold with the curvature κ and the torsion τ, κ² + τ² = -(f² + f'). Also we prove that if a 1-type non-geodesic biharmonic curve γ is helix, then λ = -(f² + f').

• 대한수학회논문집
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• 제35권4호
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• pp.1269-1281
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• 2020

In this article, we show that a pseudo-Hermitian magnetic curve in a normal almost contact metric 3-manifold equipped with the canonical affine connection ${\hat{\nabla}}^t$ is a slant helix with pseudo-Hermitian curvature ${\hat{\kappa}}={\mid}q{\mid}\;sin\;{\theta}$ and pseudo-Hermitian torsion ${\hat{\tau}}=q\;cos\;{\theta}$. Moreover, we prove that every pseudo-Hermitian magnetic curve in normal almost contact metric 3-manifolds except quasi-Sasakian 3-manifolds is a slant helix as a Riemannian geometric sense. On the other hand we will show that a pseudo-Hermitian magnetic curve γ in a quasi-Sasakian 3-manifold M is a slant curve with curvature κ = |(t - α) cos θ + q| sin θ and torsion τ = α + {(t - α) cos θ + q} cos θ. These curves are not helices, in general. Note that if the ambient space M is an α-Sasakian 3-manifold, then γ is a slant helix.

• 한국초전도ㆍ저온공학회논문지
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• 제17권1호
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• pp.6-9
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• 2015

For many applications of $ReBa_2Cu_3O_{7-x}$ (ReBCO) tapes it is needed to know the anisotropic properties of the used conductor in a broad range of magnetic field. In this paper we present the results of transport measurements on the SuNAM tape (GdBaCuO) with the rotation of the sample in magnetic fields up to 5 T in liquid nitrogen. The critical current over the magnetic field orientation ($I_c({\theta})$) curves demonstrate the appearance of distinct second peak around c-axis in low fields. This peak almost vanishes in the fields over 3 T. The evolution of the ab-peak form is also presented: the peak consistently reduces its height with the magnetic field going up and in the high fields the shoulders rise, changing the type of the distribution. To describe experimental curves the vortex path model was applied to the angular distributions of the critical current in magnetic field. Good agreements of the experimental data with the analytical expressions were obtained that confirm the vortex path model approach.

• 한국자기학회지
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• 제5권3호
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• pp.210-215
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• 1995

Glass\Cr/sub 40 .angs. /\[Cr/sub 10 .angs. /\NiFe/sub 50 .angs. /]/sub N/ 다층박막을 층수 N = 1, 2, 3, 4, 5, 6, 10에 따라 dc magnetron sputtering 방법에 의해 제작하였다. 이때 자기 이방성의 형성을 위해 제작 중에 자장을 200 Gauss 가했다. 전류 방향과 외부 자장이 수평, 수직에 따라 자기저항 곡선 MR(xx), MR(xy)를 조사하였다. MR(xx) 곡선의 경우 N = 1, 5, 10 경우 자기저항비가 거의 나타나지 않았으며, 나머지 층수의 경우는 외부 자장에 따라 저항이 증가하는 positive magnetoresistance 현상을 보였다. 또한 곡선의 모양도 H = 0 Oe 근처에서 특이하게 반전되는 자기정항 곡선을 보였다. 이런 현상의 물리적 해석을 NiFe 단층박막의 자기저항 곡선과 비교하여 설명 하였다.

• 한국의학물리학회지:의학물리
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• 제14권4호
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• pp.234-239
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• 2003

본 연구에서는 몬테칼로 계산을 이용하여 외부 가로 자기장에 의한 깊이선량율(PDD)의 변화를 고찰하였다. 몬테칼로 계산은 자기장에서 전자의 편향을 고려하도록 수정한 EGS4 몬테칼로 코드를 사용하였다. 자기장에서 깊이선량율의 변화를 기술하기 위하여, 선량증가(DI； dose improvement)와 선량감소(DR； dose reduction)를 정의하였다. 10 MV 광자선에 대하여 1-5 T 자기장 범위에서 계산한 결과, 자기장의 세기에 따라 DI와 DR은 거의 선형으로 각각 증가, 감소하였다. 자기장 3 T의 경우에 조사면 10${\times}$10 $\textrm{cm}^2$와 자기장 인가깊이 5-10 cm에서 DI는 1.56 (56% 증가), DR은 0.68 (32% 감소)로 나타났다. 깊이선량율 변화의 원리는 로렌츠 법칙과 전자평형 개념으로부터 설명하였으며, 이러한 특성을 이용하여 방사선치료의 최적화를 달성할 수 있음을 제안하였다.