• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2009년도 춘계학술대회 논문집
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• pp.52-54
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• 2009

A plane wave expansion method(PWEM) was applied for photonic band structure calculation. We examined zero group velocity modes in photonic crystals. The zero group velocity was obtained in second band along G-K direction. We expanded Brillouin zone, and investigated on zero group velocity.

• 전자공학회논문지A
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• 제31A권2호
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• pp.60-66
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• 1994

The scattering problem by E-polarized plane wave with oblique incidence on a tapered resistive strip grating with infinite resistivity at strip-edges is analyzed by the method of moments in the spectral domain. Then the induced surface current density is expanded in a series of Ultraspherical polynomials of the zeroth order. The expansion coefficients are calculated numerically in the spectral domain, the numerical results of the geometricoptical reflection coefficient for the tapered resistivity in this paper are compared with those for the existing uniform resistivity. And the position of sharp variation points in the magnitude of the geometric-optical reflection coefficient can be moved by varying the incident angle and the strip spacing. It is found out that these sharp variation points are due to the transition of higher modes between the propagation mode and the evanescent mode.

• Journal of Magnetics
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• 제20권2호
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• pp.110-113
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• 2015

Two kinds of magnetic fluids with different volume fractions are symmetrically filled into the W0.9 photonic crystal waveguide structure. The 2D plane-wave expansion method is used to investigate the slow light properties numerically. The constant group index criterion is employed to evaluate the slow light performance. The wavelength bandwidth ${\Delta}{\lambda}$ centering at ${\lambda}_0=1550nm$ varies from 32.4 to 44.2 nm when the magnetic field factor ${\alpha}_{\parallel}$ changes from 0 to 1. And the corresponding normalized delay bandwidth product can be tuned from 0.221 to 0.258. For comparison and optimization, two infiltration cases are investigated and the more advantageous infiltration scheme is found.

• Journal of the Optical Society of Korea
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• 제7권1호
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• pp.38-41
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• 2003

We present an analysis of highly-dispersive guided modes of two-dimensional photonic crystal waveguides. By the plane ave expansion method, band structures and mode profiles of two-dimensional photonic crystal waveguides are obtained. It is found that guided modes have very small group velocities and very large group velocity dispersions in the region near the f-point and in the region near the Brillouin zone edge. Especially, the group velocity dispersions are found to be millions of times larger than that of a conventional optical fiber. The contributions of the transverse resonance formed by two photonic band gap reflectors and the standing wave mode formed by periodic structures are discussed. We conclude that the highly-dispersive characteristics originate from the resonator-like aspect of the photonic crystal waveguide.

• JSTS:Journal of Semiconductor Technology and Science
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• 제1권4호
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• pp.209-215
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• 2001

In this paper a method for analysis and modelling of coplanar transmission interconnect lines that are placed on top of silicon-silicon oxide substrates is presented. The potential function is expressed by series expansions in terms of solutions of the Laplace equation for each homogeneous region of layered structure. The expansion coefficients of different series are related to each other and to potentials applied to the conductors via boundary conditions. In the plane of conductors, boundary conditions are satisfied at $N_d$ discrete points with $N_d$ being equal to the number of terms in the series expansions. The resulting system of inhomogeneous linear equations is solved by matrix inversion. No iterations are required. A discussion of the calculated line admittance parameters as functions of width of conductors, thickness of the layers, and frequency is given. The interconnect capacitance and conductance per unit length results are given and compared with those obtained using full wave solutions, and good agreement have been obtained in all the cases treated

• 한국안전학회지
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• 제18권4호
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• pp.169-175
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• 2003

본 연구에서는 외부의 알 수 없는 외란을 포함한 수중이동시스템의 상태를 추정하는 추정방법을 제시하였다. 우선, 수중이동시스템의 동력학적 운동방정식을 수직평면과 수평평면에 대하여 확장 테일러 전개법에 의하여 각각 유도하였다. 수중이동시스템에서 바다표면의 파랑, 주류, 바람 등과 같이 측정하기 어려운 외력을 시스템의 외란으로 간주하였으며, 이러한 외란을 시스템에 대한 외부 입력으로 고려하였다. 본 연구에서는 위와 같은 외부에서 가해지는 잘 알려지지 않은 외란 등에 대해 전혀 영향을 받지 않는 미지외란 관측기를 제안하였으며, 제안된 관측기가 미지외란에 대해서 영향을 받지 않음을 증명하였다. 또한, 수중이동시스템의 강인한 제어를 위해 수치적인 시뮬레이션을 통하여 본 미지 외란 관측기의 유효성을 확인하였다.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2004년도 제22회 춘계학술대회논문집
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• pp.408-413
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• 2004

Numerical and experimental investigation were car-ried out to clarify the flow structure of underexpanded jet from a square nozzle. The square nozzle rep-resents one of the clustered combustors of a linear aerospike engine. From the numerical results, the three-dimensional shock wave of the underexpanded square jet was found to be composed of two shocks. One is the intercepting shock which corresponds to the shock observed in two-dimensional planar jet. The other is the recompression shock divided into two types. The expansion fans coming from the nozzle edges interact with each other at the comers of the nozzle exit, and overexpanded regions are generated. Therefore one of the two recompression shocks is formed at the comers of the nozzle exit behind the overexpanded regions. As the jet goes downstream, the overexpanded regions grow larger to coalesce at the symmetry planes. Then, the other type of the recompression shock is generated. The three-dimensional shock structure formed by the intercepting shock and the recompression shocks dominates the expansion of the jet boundary. The shock detection algorithm us-ing CFD results was developed to reveal the relation between the shock waves and the jet boundary, and it was found that the cross-sectional jet shape becomes cross-shape. The key features observed in the numerical investigation were verified by the experimental results. The shock structure at the diagonal plane was in good agreement with the experimental schlieren images. Moreover, the cross-sections visualized by the Mie scattering method confirmed that the cross-section of the jet becomes cross-shape.

• 한국자기학회지
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• 제26권4호
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• pp.115-118
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• 2016

본 연구에서는 순수한 ${\alpha}^{{\prime}{\prime}}-Fe_{16}N_2$의 띠구조와 자기결정이방성에 대한 총 퍼텐셜 선형보강 평면파(Full-potential Linearized Augmented Plane Wave; FLAPW) 방법을 이용하여 연구하였다. 혼성화된 질소원자로 인해 Fe(4e), Fe(8h) 영역의 자기모멘트가 감소되었지만 z-축 방향의 격자 확장으로 인해 Fe(4d) 영역의 자기모멘트가 매우 커짐을 확인할 수 있었다. 각각의 Fe 영역들(4d, 4e, 8h) 스핀 자기모멘트들은 이전에 알려진 값들과 잘 일치함을 알 수 있다. 정방정계 왜곡으로 인해 $0.58 MJ/m^3$의 매우 큰 일축이방성상수를 구할 수 있었다. 게다가 1.76 MA/m의 매우 큰 자화량 또한 얻을 수 있었다. 또한 순수한 ${\alpha}^{{\prime}{\prime}}-Fe_{16}N_2$의 6.51 kOe의 예측 보자력과 71.7 MGOe의 최대에너지적을 얻을 수 있었다. 이러한 결과는 ${\alpha}^{{\prime}{\prime}}-Fe_{16}N_2$ 구조가 희토류 대체 영구자석으로 이용될 가능성이 있다는 것을 의미한다.