• Proceedings of the Korea Multimedia Society Conference
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• 2001.06a
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• pp.425-428
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• 2001

본 논문에서 구현한 메쉬 편집기는 편집할 메쉬의 몇몇 점을 편집할 경우, 편집 정보가 그 점에 이웃한 점들에게도 영향을 미치게 되어, 편집 결과가 근사된 부드러운 곡면으로 표현하도록 하는 데 있다. 그러기 위해서는 3차원의 메쉬를 2차원 평면으로 매핑할 때, 매핑되는 원래의 메쉬의 모양이 크게 변형되지 않도록 하여야 하는데, 여기에 모양 유지 매개 변수화 방법을 사용하고 있다. 편집에 사용된 점의 편집 정보는 2차원 평면 다각형 안에 있는 서로 대응되는 점으로 매핑 되고, B-스플라인 보간으로 편집 정보는 2차 평면 안에 있는 다른 점들에게도 영향을 주게 된다. 이런 결과는 3차원 메쉬로 환원되어 부드럽게 근사된 곡면으로 표현된다.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.6 no.1
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• pp.12-22
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• 1994

Time evolution of linear water waves on a constant depth generated by a disturbance is analyzed by asymptotic methods; stationary phase, steepest descents and leading wave approximation. In order to verify the derived formulae of surface displacements for 1-D and 2-D waves. surface displacements are calculated and plotted from both the formulae and a numerical integration. The existing results for surface displacements are verified in which the leading amplitude of 1-D waves during the evolution decays as f- T/B, the rest of the wavetrain as t$^{-1}$ 2/ and the rest of the wavetrain of 2-D waves as t-1. But it is shown that the leading amplitude of 2-D waves decays as t 5/6 which is different from Kajiura's result t$^{-4}$ 3/.

• Proceedings of the KSEEG Conference
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• 2000.04b
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• pp.194-196
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• 2000

• Geophysics and Geophysical Exploration
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• v.1 no.2
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• pp.127-135
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• 1998

The Born approximation is widely used for solving the complex scattering problems in electromagnetics. Approximating total internal electric field by the background field is reasonable for small material contrasts as long as scatterer is not too large and the frequency is not too high. However in many geophysical applications, moderate and high conductivity contrasts cause both real and imaginary part of internal electric field to differ greatly from background. In the extended Born approximation, which can improve the accuracy of Born approximation dramatically, the total electric field in the integral over the scattering volume is approximated by the background electric field projected to a depolarization tensor. The finite difference and elements methods are usually used in EM scattering problems with a 2D model and a 3D source, due to their capability for simulating complex subsurface conductivity distributions. The price paid for a 3D source is that many wavenumber domain solutions and their inverse Fourier transform must be computed. In these differential equation methods, all the area including homogeneous region should be discretized, which increases the number of nodes and matrix size. Therefore, the differential equation methods need a lot of computing time and large memory. In this study, EM modeling program for a 2D model and a 3D source is developed, which is based on the extended Born approximation. The solution is very fast and stable. Using the program, crosshole EM responses with a vertical magnetic dipole source are obtained and the results are compared with those of 3D integral equation solutions. The agreement between the integral equation solution and extended Born approximation is remarkable within the entire frequency range, but degrades with the increase of conductivity contrast between anomalous body and background medium. The extended Born approximation is accurate in the case conductivity contrast is lower than 1:10. Therefore, the location and conductivity of the anomalous body can be estimated effectively by the extended Born approximation although the quantitative estimate of conductivity is difficult for the case conductivity contrast is too high.

• Geophysics and Geophysical Exploration
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• v.2 no.3
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• pp.142-148
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• 1999

Three-dimensional electromagnetic modeling algorithm in homogeneous half-space was developed using the extended Born approximation to an electric field integral equation. To examine the performance of the extended Born approximation algorithm, the results were compared with those of the full integral equation results. For a crosshole source-receiver configuration, the agreement between the integral equation and the extended Born approximation was remarkable when the source frequency is lower than 20 kHz and conductivity contrast lower than 1:10. Beyond this conductivity contrast, the simulated results by the extended Born approximation exhibit a difference with respect to those by the integral equation. Therefore, the limit of accuracy lies below contrast of 1:10 in the extended Born approximation. Since for the source frequency range from 20 kHz to 100 kHz, however, the difference is relatively small, the extended Born approximation could be used for a reasonable 3-D EM modeling algorithm.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.39 no.3
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• pp.73-84
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• 2002

Fast and accurate new capacitance determination methodology for non-uniform complicated multi-layer VLSI interconnects is presented. Since a capacitance determination of intricate multi-layer interconnects using 3-dimensional field-solver is not practical, quasi-3-dimensional methodology is presented. Interconnects with discontinuity (i.e., bend structure and different spacing between lines, etc.) are partitioned. Then, each partial capacitance of divided parts is extracted by using 2-dimensional extraction methodology. For a multi-layer interconnects with shielding layer, the system can be simplified by investigating a distribution of charge in it. Thereby, quasi-3-dimensional capacitance for multi-layer interconnects can be determined by combining solid-ground based 2-dimensional capacitance and shielding effect which is independently determined with layout dimensions. This methodology for complicated multi-layer interconnects is more accurate and cost-efficient than conventional 3-dimensional methodology It is shown that the quasi-3-dimensional capacitance methodology has excellent agreement with 3-dimensional field- solver-based results within 5% error.

• Transactions of the Korean Society of Mechanical Engineers
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• v.15 no.3
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• pp.1021-1029
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• 1991

본 연구에서는 2차원 정사각형 밀폐공간내에서 흡수 및 방사하는 회기체에 대 한 자연대류-복사 열전달을 P-1 및 P-3 근사법을 이용하고 수치해석을 통하여 유동 및 열전달 특성을 연구하였고 Plank 수, 광학두께 및 벽방사율의 영향을 조사하였다. 또한 P-3 근사해와 비교함으로써 P-1 근사해의 적용범위를 고찰하였다.

• Proceedings of the KSEEG Conference
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• 2001.04a
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• pp.53-55
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• 2001

• The Journal of the Acoustical Society of Korea
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• v.7 no.4
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• pp.86-97
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• 1988

본 논문에서는 비등방성 매질에서의 2차원적 회절현상을 수학적으로 모델링하였다. 비등방성 매질의 2차 포물선 근사법과 프레즈넬 근사법을 적용하기 위하여 전파방향에 따른 표면파 속도의 역수를 포물선으로 가정하였다. 128${\circ}$ Rotated $LiNbO_{3}$ 기판을 사용한 SAW IF Bandpass Filter에서의 회절현상을 모의 설계하여 그 결과를 회절현상이 없는 이상적인 경우와 비교하였다. 또한 전산화 모의 설계 결과와 실제로 제작된 SAW Filter 특성결과를 비교하여 $LiNbO_{3}$ 기판을 사용한 SAW Filter에서도 프레즈넬 근사법이 대체적으로 일치하는 것을 알 수 있었다.

• Geophysics and Geophysical Exploration
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• v.25 no.4
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• pp.203-213
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• 2022

To understand an underlying geological structure via seismic imaging, the velocity information of the subsurface medium is crucial. Although the full-waveform inversion (FWI) method is considered useful for estimating subsurface velocity models, 3D FWI needs a lot-of computing power and time. Herein, we compare the calculation efficiency and accuracy of frequency-domain 2D and 3D acoustic FWIs. Thereafter, we demonstrate that the artifacts from 2D approximation can be partially suppressed via frequency-domain 2D FWI by employing diffraction angle filtering (DAF). By applying DAF, which employs only big reflection angle components, the impact of noise and out-of-plane reflections can be reduced. Additionally, it is anticipated that the DAF can create long-wavelength velocity structures for 3D FWI and migration.