• Geophysics and Geophysical Exploration
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• v.16 no.2
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• pp.71-78
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• 2013

The one-way wave equation migration is much more computationally efficient comparing with reverse time migration and it can provide better image than the migration algorithm based on the ray theory. We have developed the prestack depth migration module adopting (GS) propagator designed for vertical transverse isotropic media. Since GS propagator considers the higher-order term by expanding the Taylor series of the vertical slowness in the thin slab of the phase-screen propagator, the GS migration can offer more correct image for the complex subsurface with large lateral velocity variation or steep dip. To verify the validity of the developed GS migration module, we analyzed the accuracy with the order of the GS propagator for VTI media (GSVTI propagator) and confirmed that the accuracy of the wavefield propagation with the wide angles increases as the order of the GS propagator increases. Using the synthetic seismic data, we compared the migration results obtained from the isotropic GS migration module with the anisotropic GS migration module. The results show that the anisotropic GS migration provides better images and the improvement is more evident on steeply dipping structures and in a strongly anisotropic medium.

• Geophysics and Geophysical Exploration
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• v.18 no.4
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• pp.232-240
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• 2015

Magnetotelluric (MT) survey investigates electrical structure of subsurface by measuring natural electromagnetic fields on the earth surface. For the accurate interpretation of MT data, the precise three-dimensional (3-D) modeling algorithm is prerequisite. Since MT responses are affected by electrical anisotropy of medium, the modeling algorithm has to incorporate the electrical anisotropy especially when analyzing time-lapse MT data sets, for monitoring engineered geothermal system (EGS) reservoir, because changes in different-vintage MT-data sets are small. This study developed a MT modeling algorithm for the simulation MT responses in the presence of electrical anisotropy by improving a pre-existing staggered-grid finite-difference MT modeling algorithm. After verifying the developed algorithm, we analyzed the effect of vertical transversely isotropic (VTI) anisotropy on MT responses. In addition, we are planning to extend the applicability of the developed algorithm which can simulate not only the horizontal transversely isotropic (HTI) anisotropy, but also the tiled transversely isotropic (TTI) anisotropy.

• Geophysics and Geophysical Exploration
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• v.9 no.3
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• pp.241-249
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• 2006

Due to the long tectonic history and the very complex geologic formations in Korea, the anisotropic characteristics of subsurface material may often change very greatly and locally. The algorithms commonly used, however, may not give sufficiently precise computational results of traveltime data particularly for the complex and strong anisotropic model, since they are based on the two-dimensional (2D) earth and/or weak anisotropy assumptions. This study is intended to develope a three-dimensional (3D) modeling algorithm to precisely calculate the first arrival time in the complex anisotropic media. Considering the complex geology of Korea, we assume 3D TTI (tilted transversely isotropy) medium having the arbitrary symmetry axis. The algorithm includes the 2D non-linear interpolation scheme to calculate the traveltimes inside the grid and the 3D traveltime mapping to fill the 3D model with first arrival times. The weak anisotropy assumption, moreover, can be overcome through devising a numerical approach of the steepest descent method in the calculation of minimum traveltime, instead of using approximate solution. The performance of the algorithm developed in this study is demonstrated by the comparison of the analytic and numerical solutions for the homogeneous anisotropic earth as well as through the numerical experiment for the two layer model whose anisotropic properties are greatly different each other. We expect that the developed modeling algorithm can be used in the development of processing and inversion schemes of seismic data acquired in strongly anisotropic environment, such as migration, velocity analysis, cross-well tomography and so on.

• Journal of IKEEE
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• v.7 no.1 s.12
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• pp.32-42
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• 2003

In this paper, radiation pattern of rectangular microstrip patch antenna with anisotropy substrates and superstrate is studied by using a rigorous full-wave approach and a moment method calculation. Dyadic Green's function is derived for selected anisotropy material by constitutive relation. From these results, integral equations of electric fields are formulated. The electric field integral equations are discretized into the matrix form by applying Galerkin's moment method and then the current coefficients are obtained.. After solving the current coefficients, the far-zone electric field in spherical coordinates can be obtained by using the stationary phase method. To verify the validity of numerical result, we compare our result with existing one and get a good agreement between them. From the numerical results, the radiation patterns for variation of uniaxial superstrate thickness, anisotropy ratio of substrate and superstrate layer are presented and analyzed.

• Journal of the Korean Institute of Telematics and Electronics
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• v.19 no.6
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• pp.17-32
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• 1982

Wave propagation in gyrotropic or anisotropic medium is analyzed in terms of the eigenmodes of the medium, which are admixture of TE and TM waves. The field composition and the phase velocity of the modes are also determined. The results of the analysis are applied to thin film optical waveguide using such medium as substrate and/or film. Based on the characteristic equations for phase constants of the waveguide, the condition for TE-TM mode convection is derived, and wave propagation in the guide is represented in the form of Jones matrix, which allows a new interpretation in the conversion efficiency of the thin-film optical waveguides.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.26 no.11B
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• pp.1600-1606
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• 2001

Resonant frequency in rectangular microstrip patch antenna on anisotropic substrates with airgap and superstrate are analyzed. Dyadic Green function is derived for selected anisotropic material by constitutive relation. From these results, integral equations of electric fields are formulated using Fourier transform in space region. The electric field integral equations are discretized into the matrix form by applying Galerkin\`s moment method. Sinusoidal functions are selected as basis functions because they resemble in the actual standing wave on the patch. To verify the validity of numerical result, we compare our result with existing one and get a good agreement between them. From the numerical results, the resonant frequency in the variation of air gap, patch length and anisotropy ratio are presented and analysed.

• The Optical Journal
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• s.97
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• pp.58-61
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• 2005

복굴절이란 하나의 매질로부터 다른 매질로 진입하는 파동이 그 경계면에서 나가는 방향을 바꾸는 현상으로 등방성 매질에서 이방성 매질로 나아갈 때는 경계면에서 굴절파가 두 개로 나뉘어 굴절하게 되는 것을 말한다. 휴대폰용 카메라모듈 렌즈의 사출성형공정에서 발생하는 렌즈 내의 잔류응력에 의한 복굴절률은 사출공정에서의 렌즈불량 발생의 원인이 되며, 잔류응력은 또한 사출성형 이후에 완화되어 렌즈의 외관 치수의 변형을 가져오게 된다. 그러나 플라스틱류를 사용하는 정밀가공 생산 공정 등 실생활에서는 제품의 제조에 있어서 복굴절은 광학적 특성을 결정하는 가장 중요한 요소 중의 하나로서 성형시 복굴절을 최소화할 필요가 있다. 이를 어느 정도 달성했는가의 수준에 따라 플라스틱 정밀 성형 제품의 등급이 결정되는 중요한 측정요소이다.

• Korean Journal of Optics and Photonics
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• v.19 no.2
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• pp.150-158
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• 2008

The exact transmission coefficients at the interface between a uniaxial anisotropic medium and an isotropic medium at? oblique incidence are derived by applying the extended Jones matrix method. When the birefringence of the uniaxial anisotropic medium is small ($|n_e-n_o|\;{\ll}\;n_o,\;n_e$), the exact transmission coefficients are compared with those by the conventional extended Jones matrix method by Yeh et al. They showed an excellent agreement with each other. In addition, using the exact transmission coefficients, we calculated the polarization characteristics of a light through a uniaxial medium to an incident light with arbitrary polarization state at? oblique incidence. We compared the transmittances of an unpolarized light through a pair of crossed o-type polarizers by two different methods and calculated the transmittance as the variation of the optical constants of the polarizers to evaluate of the extinction ratio. The polarization analysis method using the exact transmission coefficients can be applied to polarization characteristics of a light through a uniaxial medium with large birefringence as well as to liquid crystals and to optical anisotropic material.

• Proceedings of the Korean Institute of Communication Sciences Conference
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• 1991.04a
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• pp.245-247
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• 1991

• Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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• 2004.09a
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• pp.317-320
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• 2004

정압주입시험(Constant Head Injection Test, CHIT)은 결정질 암반의 구간별 수리전도도 및 투수계수를 구하는 전통적인 수리시험방법이다. 본 연구에서는 Visual Modflow 수치코드를 사용하여 정압주입시험에 대한 부정류 모의를 수행하였다. 수치모의 결과 주입공에서 매질로 시간별 주입되는 유량은 30분이 경과한 후부터 거의 일정하게 유지되는 양상을 확인할 수 있는데, 현장에서 정압주입시험을 할 때 적어도 30분 이상의 시첩을 실시해야 함을 알 수 있었다. 시험구간에 따른 수리전도도 값은 시험구간의 크기에 상관없이 거의 일정한 값을 보이고 있어, 시험구간의 크기는 정압주입시험에서 크게 유의하지 않아도 된다고 판단된다. 그러나, 시험구간별 주입 압력에 따른 수리전도도 값의 변화를 살펴본 결과, 시험 구간의 크기와 주입 압력 값이 클수록 산출되는 수리전도도 값이 매질의 수리전도도 값과 차이가 나는데, 현장조사에서 시험구간과 주입 압력 값에 대한 고려가 있어야 함을 지시한다. 매질의 수직적 이방성에 따른 모의결과 $K_{zz}$ / $K_{xx}$ and $K_{yy}$ 값이 작아질수록 수리전도도 값이 작아지는데, 현장조사 결과를 해석함에 있어 매질의 수직적 이방성은 주의를 기울여야 한다.