• Geophysics and Geophysical Exploration
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• v.4 no.3
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• pp.70-79
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• 2001

The integral equation method is a powerful tool for numerical electromagnetic modeling. But the difficulty of this technique is the size of the linear equations, which demands excessive memory and calculation time to invert. This limitation of the integral equation method becomes critical in inverse problem. The conventional Born approximation, where the electric field in the anomalous body is approximated by the background field, is very rapid and easy to compute. However, the technique is inaccurate when the conductivity contrast between the body and the background medium is large. Quasi-linear, quasi-analytical and extended Born approximations are novel approaches to 3-D EM modeling based on the linearization of the integral equations for scattered EM field. These approximation methods are much less time consuming than full integral equation method and more accurate than conventional Born approximation. They we, however, still approximate methods for 3-D EM modeling. Iterative series methods such as modified Born, quasi-linear and quasi-analytical can be used to increase the accuracy of various approximation methods. Comparisons of numerical performance against a full integral equation and various approximation codes show that the iterative series methods are very accurate and almost always converge. Furthermore, they are very fast and easy to implement on a computer. In this study, extended Born series method is developed and it shows more accurate result than that of other series methods. Therefore, Iterative series methods, including extended Born series, open principally new possibilities for fast and accurate 3-D EM modeling and inversion.

• Geophysics and Geophysical Exploration
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• v.11 no.1
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• pp.60-67
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• 2008

In this paper we consider an application of the method of electromagnetic (EM) migration to the interpretation of a typical marine controlled-source (MCSEM) survey consisting of a set of sea-bottom receivers and a moving electrical bipole transmitter. Three-dimensional interpretation of MCSEM data is a very challenging problem because of the enormous number of computations required in the case of the multi-transmitter and multi-receiver data acquisition systems used in these surveys. At the same time, we demonstrate that the MCSEM surveys with their dense system of transmitters and receivers are extremely well suited for application of the migration method. In order to speed up the computation of the migration field, we apply a fast form of integral equation (IE) solution based on the multigrid quasi-linear (MGQL) approximation which we have developed. The principles of migration imaging formulated in this paper are tested on a typical model of a sea-bottom petroleum reservoir.

• The Journal of the Acoustical Society of Korea
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• v.11 no.6
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• pp.46-52
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• 1992

본 논문에서는 HMM 의 이산분포를 연속분포로 근사시키는 준 연속분포 HMM 에 의한 한국어 단어인식에 관하여 연구하였다. 이 모델의 생성과정에서는 입력벡터의 출력확률을 혼합 다차원 정규분 포로 가정하여 입력벡터의 확률함수와 코드위드의 심볼출력을 선형결합하므로써, 연속분포 모델로 근사 시켰으며, 단어인식과정에서는 생성모델에 의해 이산분포 모델에서 발생되는 양자와 왜곡을 감소시키므 로써 인식률을 향상시켰다. 이 방법을 평가하기 위하여 DDD 지역명을 대상으로 이산분포 HMM과 준연 속분포 HMM 의 비교실험을 수행하였다. 그 결과 준연속분포 HMM 에 의하여 이산분포 HMM 보다 향상된 인식률을 얻을 수 있었다.

• Proceedings of the KSEEG Conference
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• 2002.04a
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• pp.198-200
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• 2002

경제적이며 정확한 3차원 전자탐사 모델링을 위해 위해 Habashy et al. (1993)에 의해 제안된 국소 비선형 근사(localized nonlinear approximation)를 이용하여 전자탐사 모델링 알고리듬을 개발하였다. 전자탐사 수치모델링시 많은 계산시간 및 기억용량을 필요로 하는 Green 텐서 적분을 정확하고 빠르게 계산하기 위해, 단일 미소체를 이용한 공간파수 영역에서의 Green 텐서 적분 알고리듬을 제안하였다. 더욱이 Green 텐서의 송수신 방향 및 상반성을 고려하여 각각의 미소체에 의한 전체 미소체에의 Green 텐서 적분을 한 개의 미소체에 의한 전체 미소체에의 Green 텐서 적분 값으로 구하게 하므로 매우 적은 기억용량 만으로 Green 텐서 적분 행렬을 구성할 수 있어, 역산법에 효과적으로 적용할 수 있다. 이 수치 모델링 알고리듬을 기본으로 하여 평활화 제한을 가한 최소자승 역산 알고리듬을 개발하였다. 이 역산 알고리듬을 지표 전자탐사 및 시추공-지표 전자탐사 등에 적용하여 PC에서도 빠르게 3차원 전자탐사 역산이 수행됨을 보였다.

• Korean Journal of Optics and Photonics
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• v.27 no.6
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• pp.223-228
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• 2016

The birefringence of distributed, uniaxially anisotropic molecules like liquid crystals is calculated as the degree of ordering is varied. The relation between the normalized birefringence ${\Delta}n_{rel}$ and the orientational order parameter S is investigated. The distribution function, which enables one to monitor the degree of ordering of liquid crystals including randomly distributed ones, is introduced. Using this distribution function, a series of distributed liquid crystals with order parameters ranging from 0 to 1 are generated, and ${\Delta}n_{rel}$ and S of the correspondingly distributed liquid crystals are calculated. Based on the calculated data, it is revealed that ${\Delta}n_{rel}$ and S satisfy the quasi-linear relation of $S=(1+a){\Delta}n_{rel}-a{\Delta}n^2_{rel}$, where a can be approximated as $n_o{\frac{{\Delta}n}{4}}$. The anisotropy of molecular polarizability is also calculated, using the birefringence, and separately following Vuks' method and Neugebauer's method, and it is shown that the relations between S and the molecular-polarizability anisotropy are also quasi-linear.

• Transactions of the Korean Society of Mechanical Engineers
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• v.8 no.4
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• pp.385-393
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• 1984

본 연구에서는 다트식 낙하충격 시험에 있어서 인성의 강소성 플라스틱 재료 의 준정적 선형의 점탄성 모델이 구성되어 해석되었다. 완화계수함수, E(t)=E$_{f}$ +(E$_{o}$ -E$_{f}$ )e$^{-t/tR}$ 형태의 점탄성 재료의 수정된 Maxwell요소모델을 근거 로 충격속도, 파괴에너지, 임계응력등의 중요변수들의 상대적 종속성이 근사계산으로 평가되었다.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.23 no.5
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• pp.1319-1324
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• 1998

The phase and frequency commands of a ratating radar system that utilizes frequency scanning to steer the beam in the azimuth direction and phase shifters in the elevation direction are derived in terms of the angles of the groung based coordinate system. The antenna type considered is slotted arrays that are easy to construct at such high microwave frequency as the X band. The frequency that has non-linear characteristics as a functio ofthe elevation angle is plotted and the derived frequency equation is aproximated to be a simple form to reduce the calculation time for real time multi-function radar systems. It is shown that the approximated frequency command is in good agreement with the exact one if the range of azimuth scanning is limited by ${\pm}10^{\circ}$.

• Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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• v.18 no.2
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• pp.23-28
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• 2004

In EIT, various image reconstruction algorithms have been used in order to compute the internal resistivity distribution of the unknown object with its electric potential data at the boundary. Mathematically the EIT image reconstruction algorithm is a nonlinear ill-posed inverse problem. In this paper, a SPSA approach is proposed for the solution of the EIT image reconstruction. Results of numerical experiments of EIT solved by the SPSA approach are presented and compared to that obtained by the modified Newton-Raphson(mNR) method.

• Proceedings of the KIEE Conference
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• 2011.07a
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• pp.1872-1873
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• 2011

This paper presents a discrete-time approximate linear model of the continuous-time pulse-width-modulated linear system, and then, by employing the resultant model, a simple LQ suboptimal control scheme is proposed for a DC-DC step-down buck converter. The proposed scheme effectively regulates the output voltage to the desired level, which is also verified by the numerical simulation.

• 전기의세계
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• v.39 no.3
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• pp.47-54
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• 1990

유한요소법과 경계요소법의 합성으로 전자계 해석을 하는 기법은 각 방법의 장점을 수용하여 경계가 없는 무한영역의 전자장을 분석하는 기법으로서 어떤 복잡하고 어려운 기하학적 구조의 문제도, 비선형이나 비균질성 재질의 문제도 쉽게 formulation이 가능하여 용이하게 해석할 수 있지만 전체 System matrix방정식이 비대칭이며 부분적인 full matrix를 형성하여 계산시간이 길어 진다는 단점도 있다. 적용예에서 보여 준 것과 같이 합성요소법은 그 해가 실제에 근사한 값을 가질수 있다고 생각되며, 계산시간을 단축시키기 위하여 직접법이나 반복법을 사용한 새로운 해법들이 도입되고 있다. 최근에는 system전체 node의 순서를 고려한 NDRA(Nested Dissection Reordering Algorithm)이 도입되고 있고, System matrix자체를 유한 요소법의 형태로 유지시키며 풀수 있는 방법으로 알려진 Absorbin 경계조건을 사용하여 전자파에 대한 해석을 하고 있다. 유한 및 경계요소 합성법은 초고압 옥외용 전력기기의 전자장 해석과 설계, 레이다나 안테나 등의 전자파 해석문제, 초전도 응용, 전력기기의 전자장해석과 설계, 우주공간에서의 전력전송문제 등을 쉽게 model화하여 적용할 수 있을 것이다.