• Title/Summary/Keyword: surface approximation

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Discrete Dipole Approximation Calculation of the Extinction Spectra of Gold-Silver Alloy Nanoparticles (이산 쌍극자 근사를 이용한 금-은 합금 나노입자의 소광 스펙트럼 계산)

  • Lee, Hee-Mi;Chandra, Saha Leton;Jang, Joon-Kyung
    • Journal of the Korean Chemical Society
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    • v.51 no.2
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    • pp.136-140
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    • 2007
  • By using the discrete-dipole approximation, we computed the extinction spectrum of a gold-silver alloy nanoparticle. We have examined how the surface plasmon resonance changes with respect to the variation in the composition of the alloy particle. As the fraction of silver increases for a 10nm particle, the peak position of the extinction spectrum blue-shifts linearly. The intensity of the peak however increases exponentially with increasing the silver fraction. These results are in accord with the previous experimental results.

Newton's Method to Determine Fourier Coefficients and Wave Properties for Deep Water Waves

  • JangRyong Shin
    • Journal of Ocean Engineering and Technology
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    • v.37 no.2
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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.

FUNCTION APPROXIMATION OVER TRIANGULAR DOMAIN USING CONSTRAINED Legendre POLYNOMIALS

  • Ahn, Young-Joon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.9 no.2
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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.

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A study on range image segmentation and surface feature extraction (거리 영상 분할과 면 특징 추출에 관한 연구)

  • 현대환;김대현;이선호;최종수
    • Proceedings of the Korean Information Science Society Conference
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    • 1999.10b
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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.

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Surface second-harmonic generations from Chitosan polymeric system (표면 제2고조파를 이용한 키토산 고분자계의 광학 특성 연구)

  • 하나영;한송희;박병주;정치섭;전동원;우정원
    • Proceedings of the Optical Society of Korea Conference
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    • 2000.08a
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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)

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Measurement and simulation of high-frequency bistatic sea surface scattering channel in shallow water of Geoje bay (거제 내만해역에서의 고주파 양상태 해수면 음파산란 채널 측정 및 모의)

  • Choi, Kang-Hoon;Kim, Yongbin;Kim, Sea-Moon;Choi, Jee Woong
    • The Journal of the Acoustical Society of Korea
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    • v.40 no.1
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    • pp.1-9
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    • 2021
  • High-frequency bistatic sea surface scattering channels according to sea state were measured at an experimental site of Geoje bay in April 2020, and compared with predictions based on scattering theory. A linear frequency-modulated signal with a center frequency of 128 kHz and a bandwidth of 32 kHz was used for the acoustic measurements. Sea surface wavenumber spectrum was calculated from surface roughness data measured by a wave buoy, and bistatic scattering cross-section of Small Slope Approximation (SSA) based on the wavenumber spectrum was estimated. In addition, scattering from near-surface bubbles using wind speed measured during experiments was considered. Surface scattering channel intensity impulse responses were simulated using the scattering cross-section and the simulation results were compared and analyzed with the field data.

Electrical Repulsive Energy between Two Cylindrical Particles with Finite Length: Configuration Dependence

  • Choi, Ju-Young;Dong, Hyun-Bae;Haam, Seung-Joo;Lee, Sang-Yup
    • Bulletin of the Korean Chemical Society
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    • v.29 no.6
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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.

Analytical Modeling and Simulation of Dual Material Gate Tunnel Field Effect Transistors

  • Samuel, T.S.Arun;Balamurugan, N.B.;Sibitha, S.;Saranya, R.;Vanisri, D.
    • Journal of Electrical Engineering and Technology
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    • v.8 no.6
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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.

A Study on the Construction of Response Surfaces for Design Optimization (최적설계를 위한 반응표면의 생성에 관한 연구)

  • Hong, Gyeong-Jin;Jeon, Gwang-Gi;Jo, Yeong-Seok;Choe, Dong-Hun;Lee, Se-Jeong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.6 s.177
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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.

Decentralized Adaptive Control for Nonlinear Systems with Time-Delayed Interconnections: Intelligent Approach (시간 지연 상호 연계를 가진 비선형 시스템의 분산 적응 제어: 지능적인 접근법)

  • Yoo, Sung-Jin;Park, Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.4
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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.