• 대한전기학회:학술대회논문집
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• 대한전기학회 2005년도 제36회 하계학술대회 논문집 B
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• pp.1204-1206
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• 2005

This paper deals with magnetic field analysis and computation of cogging torque in IPM motor with an analytical method, which is based on the Conformal Mapping technique. The magnetic field is analyzed by solving space harmonic field analysis due to inserted PM magnetizing distribution. Conformal Mapping method is then used for considering the slot opening effect and rotor saliency effect on the air-gap field magnetic distribution. Then, by integrating the field over the stator surface, cogging torque is calculated. The validity of the proposed analytical method is confirmed by comparing the results with 2-D FEA results.

• 전기학회논문지
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• 제68권1호
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• pp.83-89
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• 2019

In this paper, beam forming using moving least squares method (MLSM) is studied. In the previous research, the least squares method (LSM), one of the data interpolation methods, was used to determine the desired beam pattern and obtain a beam pattern that minimizes the square of the error with the desired beam pattern. However, LSM has a disadvantage in that the beam pattern can not be formed to satisfy the exact steering angle of the desired beam pattern and the peak sidelobe level (PSLL) condition. To overcome this drawback, MLSM is used for beam forming. In order to verify, the proposed method is applied in beam forming of Bezier platform array antenna which is one of conformal array antenna platform.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제27권1호
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• pp.75-86
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• 2023

The angle of attack is highly sensitive to pitch point in the airfoil shape and the decline of pitch point value induces smaller angle of attack, which implies that airfoil profile possessing closer pitch point to the airfoil tip reacts more sensitively to upcoming wind. The method of conformal transformation functions is employed for airfoil profiles and airfoil surfaces are expressed with a trigonometric series form. Attack angle and ideal lift coefficient distributions are investigated for various airfoil profiles in wind turbine blade regarding conformal transformation and pitch point. The conformed angle function representing the surface angle of airfoil shape generates various attack angle distributions depending on the choice of surface angle function. Moreover, ideal attack angle and ideal lift coefficient are susceptible to the choice of airfoil profiles and uniform loading area. High ideal attack angle signifies high pliability to upcoming wind, and high ideal lift coefficient involves high possibility to generate larger electric energy. According to results obtained pitch point, airfoil shape, uniform loading area, and the conformed airfoil surface angle function are crucial factors in the determination of angle of attack.

• 대한방사선기술학회지:방사선기술과학
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• 제34권1호
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• pp.51-58
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• 2011

본 연구의 목적은 회전조사 시 표적종양의 위치변위와 갠트리의 조사반경에 의한 치료깊이 변화에 따른 모의치료계획 결과와 선량전달 결과상의 오차를 분석하고자 하였다. 깊이 변위가 가장 이상적인 경우, 즉 팬텀의 중심에 표적이 위치한 경우와 한쪽으로 2.5 cm, 5 cm씩 치우친 경우로 나누어 모의실험하였다. 표적의 위치 변화에 따른 모의치료계획을 실시하기 위하여 IMRT Body 팬톰(I'mRT Phantom, Wellhofer Dosimetry, Germany)를 이용하여 전산화단층촬영장치(Computed Tomography, Light speed 16, GE, USA)로 데이터를 획득하였다. 획득된 영상을 이용하여 치료계획장치(Treatment Planning System, Eclipse, ver. 6.5, VMS, Palo Alto, USA)를 이용하여 정중앙, 2.5 cm, 5 cm에 가상의 치료표적을 만들어 모의치료계획을 수립하였다. 선형가속기(CL21EX, VMS, Palo Alto, USA)의 6 MV 광자선과 최근 개발된 Gafchromic 필름(EBT2, ISP, Wayne, USA)을 이용하여 선량분포를 측정하였고, 선량분석프로그램(OmniPro-IMRT, ver. 1.4, Wellhofer Dosimetry, Germany)을 이용하여 모의치료계획 데이터와 측정 데이터를 정량적으로 분석하였다. 분석프로그램으로 횡축방향 선량분포 프로파일(Cross-plane profile)과 선량분포를 정량적으로 분석하기 위하여 감마인덱스(DD: 3%, DTA: 2 mm) 히스토그람을 이용하였다. 표적과 표적주변의 선량분포는 Conformity index(CI), Homogeneity index(HI)를 이용하여 정량적으로 분석하였다. 치료표적 전체체적에 대한 100% 선량분포에 포함되는 체적을 비교하여 분석하였다. 표적의 위치가 5 cm 에 있는 경우 다문동적회전조사(Multiple Conformal Arc Therapy, MCAT)는 23.8%, 단일동적회전조사(Single Conformal Arc Therapy, SCAT)는 35.6%, 고정조사는 37%였고, 표적이 2.5 cm에 있는 경우 MCAT 61%, SCAT 21.5%, 고정조사 14.2%로 분석되었다. 표적의 위치가 중앙에 있는 경우 MCAT 70.5%, SCAT 14.1%, 고정조사 36.3%로 나타났다. 표적의 위치가 5 cm 치우쳐 있는 경우를 제외하고 MCAT의 100% 선량분포에 포함되는 체적이 가장 크게 나타났다. 감마인덱스 히스토그램 분석결과, SCAT의 경우 37.1, 27.3, 29.2로 MCAT의 경우 9.2, 8.4, 10.3에 비해 최소 2.8배, 최대 4배 오차가 크게 나타났다. 결론적으로, 동적조형회전조사 시 표적종양의 위치변이와 조사반경의 변화에 따라 선량전달오류의 가능성을 알 수 있었으며 치료표적의 위치가 정중앙이 아닐 경우, 깊이와 회전반경을 최적화함으로써 정확한 선량 전달을 할 수 있다고 생각한다.

• Radiation Oncology Journal
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• 제36권3호
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• pp.241-247
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• 2018

Purpose: A hybrid-dynamic conformal arc therapy (HDCAT) technique consisting of a single half-rotated dynamic conformal arc beam and static field-in-field beams in two directions was designed and evaluated in terms of dosimetric benefits for radiotherapy of lung cancer. Materials and Methods: This planning study was performed in 20 lung cancer cases treated with the VERO system (BrainLAB AG, Feldkirchen, Germany). Dosimetric parameters of HDCAT plans were compared with those of three-dimensional conformal radiotherapy (3D-CRT) plans in terms of target volume coverage, dose conformity, and sparing of organs at risk. Results: HDCAT showed better dose conformity compared with 3D-CRT (conformity index: 0.74 ± 0.06 vs. 0.62 ± 0.06, p < 0.001). HDCAT significantly reduced the lung volume receiving more than 20 Gy (V₂₀: 21.4% ± 8.2% vs. 24.5% ± 8.8%, p < 0.001; V₃₀: 14.2% ± 6.1% vs. 15.1% ± 6.4%, p = 0.02; V₄₀: 8.8% ± 3.9% vs. 10.3% ± 4.5%, p < 0.001; and V₅₀: 5.7% ± 2.7% vs. 7.1% ± 3.2%, p < 0.001), V₄₀ and V₅₀ of the heart (V₄₀: 5.2 ± 3.9 Gy vs. 7.6 ± 5.5 Gy, p < 0.001; V₅₀: 1.8 ± 1.6 Gy vs. 3.1 ± 2.8 Gy, p = 0.001), and the maximum spinal cord dose (34.8 ± 9.4 Gy vs. 42.5 ± 7.8 Gy, p < 0.001) compared with 3D-CRT. Conclusions: HDCAT could achieve highly conformal target coverage and reduce the doses to critical organs such as the lung, heart, and spinal cord compared to 3D-CRT for the treatment of lung cancer patients.

• 한국의학물리학회지:의학물리
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• 제34권4호
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• pp.41-47
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• 2023

Purpose: This study aimed to dosimetrically compare the technique of three-dimensional conformal radiotherapy (3D CRT), which is a traditional prophylactic cranial irradiation method, and the intensity-modulated radiotherapy (IMRT) and volumetric modulated arc therapy (VMAT) techniques used in the last few decades with the dynamic conformal arc therapy (DCAT) technique. Methods: The 3D CRT, VMAT, IMRT, and DCAT plans were prepared with 25 Gy in 10 fractions in a Monaco planning system. The target volume and the critical organ doses were compared. A comparison of the body V₂, V₅, and V₁₀ doses, monitor unit (MU), and beam on-time values was also performed. Results: In planned target volume of the brain (PTV_Brain), the highest D99 dose value (P<0.001) and the most homogeneous (P=0.049) dose distribution according to the heterogeneity index were obtained using the VMAT technique. In contrast, the lowest values were obtained using the 3D CRT technique in the body V₂, V₅, and V₁₀ doses. The MU values were the lowest when DCAT (P=0.001) was used. These values were 0.34% (P=0.256) lower with the 3D CRT technique, 66% (P=0.001) lower with IMRT, and 72% (P=0.001) lower with VMAT. The beam on-time values were the lowest with the 3D CRT planning (P<0.001), 3.8% (P=0.008) lower than DCAT, 65% (P=0.001) lower than VMAT planning, and 76% (P=0.001) lower than IMRT planning. Conclusions: Without sacrificing the homogeneous dose distribution and the critical organ doses in IMRTs, three to four times less treatment time, less low-dose volume, less leakage radiation, and less radiation scattering could be achieved when the DCAT technique is used similar to conventional methods. In short, DCAT, which is applicable in small target volumes, can also be successfully planned in large target volumes, such as the whole-brain.

• 대한수학회보
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• 제39권1호
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• pp.133-140
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• 2002

On compact complex hyperbolic manifolds of complex dimension two, we show that the dimension of the space of infinitesimal deformations of self-dual conformal structures is smaller than that of the deformation obstruction space and that every self-dual metric with covariantly constant Ricci tensor must be a standard one upto rescalings and diffeomorphisms.

• 호남수학학술지
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• 제27권4호
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• pp.655-663
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• 2005

One of the basic questions concerning harmonic map is on the existence of harmonic maps satisfying a certain condition. Rigidity of a certain harmonic map can be considered as an answer for this kinds of questions. In this article, we study a rigidity property of harmonic diffeomorphisms under the condition that the inverse map is also harmonic. We show that every such a harmonic diffeomorphism is totally geodesic or conformal in two dimensional case.

• 대한수학회논문집
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• 제24권3호
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• pp.415-424
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• 2009

The object of the present paper is to study the generalized quasi-Einstein manifolds satisfying some conditions. Finally the existence of such manifolds is ensured by several interesting examples.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권4호
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• pp.327-335
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• 2012

We study half lightlike submanifolds M of semi-Riemannian manifolds $\widetilde{M}$ of quasi-constant curvatures. The main result is a characterization theorem for screen homothetic Einstein half lightlike submanifolds of a Lorentzian manifold of quasi-constant curvature subject to the conditions; (1) the curvature vector field of $\widetilde{M}$ is tangent to M, and (2) the co-screen distribution is a conformal Killing one.