• 대한화학회지
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• 제51권2호
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• pp.136-140
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• 2007

이산 쌍극자 근사를 이용하여 수용액상의 금-은 합금 나노입자의 표면 플라즈몬 공명 스펙트럼을 계산하였다. 직경 10 나노미터의 금-은 합금 입자의 경우에 스펙트럼의 최대 소광 파장이 합금의 은 성분이 높아짐에 따라 선형적으로 짧은 파장대로 이동하며 최대 소광 세기는 지수적으로 증가함을 관측하였다. 이러한 계산결과는 실험 결과들과 잘 일치하는 것을 확인하였다.

• 한국해양공학회지
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• 제37권2호
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• pp.49-57
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• 2023

Since Chappelear developed a Fourier approximation method, considerable research efforts have been made. On the other hand, Fourier approximations are unsuitable for deep water waves. The purpose of this study is to provide a Fourier approximation suitable even for deep water waves and a numerical method to determine the Fourier coefficients and the wave properties. In addition, the convergence of the solution was tested in terms of its order. This paper presents a velocity potential satisfying the Laplace equation and the bottom boundary condition (BBC) with a truncated Fourier series. Two wave profiles were derived by applying the potential to the kinematic free surface boundary condition (KFSBC) and the dynamic free surface boundary condition (DFSBC). A set of nonlinear equations was represented to determine the Fourier coefficients, which were derived so that the two profiles are identical at specified phases. The set of equations was solved using Newton's method. This study proved that there is a limit to the series order, i.e., the maximum series order is N=12, and that there is a height limitation of this method which is slightly lower than the Michell theory. The reason why the other Fourier approximations are not suitable for deep water waves is discussed.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제9권2호
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• pp.99-106
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• 2005

We present a relation between the orthogonality of the constrained Legendre polynomials over the triangular domain and the BB ($B{\acute{e}zier}\;-Bernstein$) coefficients of the polynomials using the equivalence of orthogonal complements. Using it we also show that the best constrained degree reduction of polynomials in BB form equals the best approximation of weighted Euclidean norm of coefficients of given polynomial in BB form from the coefficients of polynomials of lower degree in BB form.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 1999년도 가을 학술발표논문집 Vol.26 No.2 (2)
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• pp.509-511
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• 1999

본 논문에서는 일반적으로 영역 기반형 분할방법보다 우수한 분할결과와 계산의 효율성을 가지는 경계선 기반형 방법의 하나인 scan line approximation 방법을 응용함으로써 경계선의 기하학적 해석이 가능하도록 하는 경계선 강도(edge intensity) 정보를 제공한다. 따라서 면 특성과 국부적인 면 특성인 면 법선과 면 곡률정보 없이 잡음에 강건하고 계산의 효율성에서 우수한 거리영상분할 방법을 제안한다. 합성 거리영상을 대상으로 scan line approximation 방법을 응용하여 얻어진 경계선을 경계선 그룹화의 영역 레이블링을 거쳐서 면 특징을 추출하였다.

• 한국광학회:학술대회논문집
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• 한국광학회 2000년도 하계학술발표회
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• pp.90-91
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• 2000

2차 비선형 현상인 제2고조파(Second Harmonic Generation:SHG)는 electric dipole approximation에 의하면 중심대칭성이 있는 물질에서는 발생하지 않는다. 그러나 표면에 대해서는 그 중심대칭성이 깨져 제2고조파가 발생할 수 있게 된다. 즉 bulk에서는 제2고조파가 나오지 않는 반면, 표면에서는 나오게 된다. 본 연구에서는 electric dipole approximation 이상(예를 들면 magnetic dipole, electric quadrupole)을 고려해 시료의 물리적인 성질을 실제 물질계에 가깝게 기술하고자 했다. (중략)

• 한국음향학회지
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• 제40권1호
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• pp.1-9
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• 2021

해수면 상태에 따른 고주파 양상태 해수면 음파산란 채널 측정 실험은 2020년 4월 거제 내만해역에서 수행되었으며 산란이론을 기반으로 한 모의결과와 비교하였다. 신호는 중심주파수 128 kHz, 대역폭 32 kHz의 선형 주파수 변조 신호를 이용하였다. 파고부이를 통해 측정된 해수면 거칠기로부터 해수면 파수 스펙트럼을 계산하였고 산란이론인 Small Slope Approximation(SSA)에 적용하여 해수면 거칠기에 의한 산란강도를 추정하였다. 또한 실험 당시 풍속을 이용하여 해수면 부근 공기방울층 음파산란을 고려하여 산란강도를 계산하였다. 모의된 산란강도를 이용하여 해수면 산란 채널 세기 임펄스 응답을 모의하였고, 해수면 파수 스펙트럼과 공기방울층 산란에 따른 모의결과를 측정치와 비교, 분석하였다.

• Bulletin of the Korean Chemical Society
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• 제29권6호
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• pp.1131-1136
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• 2008

The electrical repulsive energy between two model cylinders was calculated by solving nonlinear Poission- Boltzmann (P-B) equation under Derjaguin approximation. Effects of the surface potential, Debye screening length, and configuration of cylinders on the repulsive interaction energy were examined. Due to the anisotropy of the shape of cylinder, the interaction repulsive energy showed dependence to the configuration of particles; cylinders aligned in end-to-end configuration showed largest repulsive energy and crossed particles had lowest interaction energy. The configuration effect is originated from the curvature effect of the interacting surfaces. The curved surfaces showed less repulsive energy than flat surfaces at the same interacting surface area. The configuration dependency of interaction energy agreed with the previous analytical solution obtained under the linearized P-B equation. The approach and results present in this report would be applicable in predicting colloidal behavior of cylindrical particles.

• Journal of Electrical Engineering and Technology
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• 제8권6호
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• pp.1481-1486
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• 2013

In this paper, a new two dimensional (2D) analytical model of a Dual Material Gate tunnel field effect transistor (DMG TFET) is presented. The parabolic approximation technique is used to solve the 2-D Poisson equation with suitable boundary conditions. The simple and accurate analytical expressions for surface potential and electric field are derived. The electric field distribution can be used to calculate the tunneling generation rate and numerically extract tunneling current. The results show a significant improvement of on-current and reduction in short channel effects. Effectiveness of the proposed method has been confirmed by comparing the analytical results with the TCAD simulation results.

• 대한기계학회논문집A
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• 제24권6호
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• pp.1408-1418
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• 2000

Gradient-based optimization methods are inefficient in applications which require expensive function evaluations, and useless in applications where objective and/or constraint functions are 'noisy' due to modeling and cumulative numerical inaccuracy since gradient evaluation results cannot be reliable. Moreover, it is difficult to be integrated with commercial analysis software, and they cannot be employed when only experimental analysis results are available. In this research an optimization program based on a response surface method has been developed to overcome the aforementioned difficulties. Various methods for design of experiments and new proposed approximation models are implemented in the program. The effectiveness of the optimization program is tested on several test problems and results are discussed.

• 제어로봇시스템학회논문지
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• 제15권4호
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• pp.413-419
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• 2009

A decentralized adaptive control method is proposed for large-scale systems with unknown time-delayed nonlinear interconnections unmatched in control inputs. It is assumed that the time-delayed interaction terms are bounded by unknown nonlinear bounding functions. The nonlinear bounding functions and uncertain nonlinear functions of large-scale systems are compensated by the function approximation technique using neural networks. The dynamic surface control method is extended to design the proposed memoryless local controller for each subsystem of uncertain nonlinear large-scale time delay systems. Therefore, although the interconnected systems consist of a large number of subsystems, the proposed controller can be designed simply. We prove that all the signals in the total closed-loop system are semiglobally uniformly bounded and the control errors converge to an adjustable neighborhood of the origin. Finally, an example is given to demonstrate the effectiveness and applicability of the proposed scheme.