• Journal of the Optical Society of Korea
• /
• 제9권4호
• /
• pp.140-144
• /
• 2005

In this paper we have investigated the guiding properties of photonic crystal fibers (PCFs) with a square-lattice of air-holes in the cladding. We have shown numerical results of PCFs with various air hole sizes and hole-to-hole spacings over a wide wavelength range. The group velocity dispersion, effective area and effective refractive index of PCF have been calculated numerically. The waveguide dispersion has greatly affected the group velocity dispersion when hole-to-hole spacing is about $1{\mu}m$. The effective area is quite flat over the wide spectral range whether the hole-to-hole spacing is large or ratio of diameter to pitch is large. From the field distribution, we found that the field is tightly confined within the core region of PCF when the pitch is $3{\mu}m$ and the air-filling fraction is 0.9.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국내학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
• /
• pp.225-230
• /
• 1988

In this paper, a new method for determining the order of AR, ARMA processes based on PLS (predictive least square) principle is proposed, This method using modified lattice algorithm which has additional step is amenable to on-line or adaptive operation and is more accurate than any other mpthod. Some computer simulations are presented to show the efficiency of the proposed algorithms.

• 한국광학회:학술대회논문집
• /
• 한국광학회 2009년도 동계학술발표회 논문집
• /
• pp.489-489
• /
• 2009

• 한국광학회:학술대회논문집
• /
• 한국광학회 2001년도 하계학술발표회
• /
• pp.242-243
• /
• 2001

• 한국광학회:학술대회논문집
• /
• 한국광학회 2006년도 동계학술발표회 논문집
• /
• pp.261-262
• /
• 2006

• 한국광학회:학술대회논문집
• /
• 한국광학회 2008년도 동계학술발표회 논문집
• /
• pp.433-434
• /
• 2008

• Journal of the Optical Society of Korea
• /
• 제17권3호
• /
• pp.262-268
• /
• 2013

We study the focusing properties of a two-dimensional square-lattice photonic crystal (PC) comprising silica and germanium partitioned cylinders in air background. The finite difference time domain (FDTD) method with periodic boundary condition is utilized to calculate the dispersion band diagram and the FDTD method incorporating the perfectly matched layer boundary condition is employed to simulate the image formation. In contrast to the common square PCs in which the negative refraction effect occurs in the first photonic band without negative phase propagation, in our suggested model system, the frequency with negative refraction exists in the second band and in near-infrared region. In this case, the wave propagates with a negative phase velocity and the evanescent waves can be supported. We also discuss the dependency of the image resolution and its location on surface termination, source location, and slab thickness. According to the simulation results, spatial resolution of the proposed PC lens is below the radiation wavelength.

• 설비공학논문집
• /
• 제22권11호
• /
• pp.727-734
• /
• 2010

The present study numerically investigates the motion of a solid body suspended in the square enclosure with natural convection. A two-dimensional circular cylinder levitated thermally has been simulated by using thermal lattice Boltzmann method(TLBM) with the direct-forcing immersed boundary method. To deal with the ascending, falling or levitation of a circular cylinder in natural convection, the immersed boundary method is expanded and coupled with the TLBM. The circular cylinder is located at the bottom of a square enclosure with no restriction on the motion and freely migrates due to the Boussinesq approximation which is employed for the coupling between the flow and temperature fields. For different density ratio between the cylinder and the fluid, the motion characteristics of the circular cylinder for various Grashof numbers have been carried out. The Prandtl number is fixed as 0.7.

• 한국공간구조학회논문집
• /
• 제6권4호
• /
• pp.35-44
• /
• 2006

대공간 구조형식에는 기존의 기둥-보 구조형식에서 벗어나 쉘구조형식과 같은 형태저항 구조형식이 가장 유효한 구조형식으로 인식되고 있다. 특히 지간 $200m{\sim}300m$ 이상의 대공간구주 형식으로는 중량구조인 연속체의 쉘보다는 래티스 돔과 같은 공간 트러스형식 등의 유리하다. 시공, 제작상의 편리성, 구조미 등을 이유로 복층래티스 돔과 더불어 단층의 래티스 돔 형식도 실제 구조물에서 많이 적용되고 있다. 그러나 대공간 단층 래티스 돔의 경우 아직까지 외력의 작용으로 인한 변형과 파괴경로가 명확하게 해명되지 못한 부분이 있다. 본 연구에서는 대공간 구조형식에 적합한 래티스 돔을 대상으로 좌굴의 특성을 규명하여 안정적인 구조 설계의 기초 자료를 제시하기 위하여 실험을 수행하였다. 주된 실험변소는 격자의 간격과 돔의 지붕 강성 유무를 대상을 하였으며, 격자의 간격은 돔을 4분할, 5분할, 6분할, 7분할로 하여 정하였다. 가력은 돔의 전면에 걸쳐 구심의 등분포하중이 작용하도록 하였다.

• 대한수학회지
• /
• 제54권4호
• /
• pp.1121-1148
• /
• 2017

Go is an ancient game of great complexity and has a huge following in East Asia. It is also very rich mathematically, and can be played on any graph, although it is usually played on a square lattice. As with any game, one of the most fundamental problems is to determine the number of legal positions, or the probability that a random position is legal. A random Go position is generated using a model previously studied by the author, with each vertex being independently Black, White or Uncoloured with probabilities q, q, 1 - 2q respectively. In this paper we consider the probability of legality for two scenarios. Firstly, for an $N{\times}N$ square lattice graph, we show that, with $q=cN^{-{\alpha}}$ and c and ${\alpha}$ constant, as $N{\rightarrow}{\infty}$ the limiting probability of legality is 0, exp($-2c^5$), and 1 according as ${\alpha}$ < 2/5, ${\alpha}=2/5$ and ${\alpha}$ > 2/5 respectively. On the way, we investigate the behaviour of the number of captured chains (or chromons). Secondly, for a random graph on n vertices with edge probability p generated according to the classical $Gilbert-Erd{\ddot{o}}s-R{\acute{e}}nyi$ model ${\mathcal{G}}$(n; p), we classify the main situations according to their asymptotic almost sure legality or illegality. Our results draw on a variety of probabilistic and enumerative methods including linearity of expectation, second moment method, factorial moments, polyomino enumeration, giant components in random graphs, and typicality of random structures. We conclude with suggestions for further work.