• Title/Summary/Keyword: 다항식 함수

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변수화 모델을 통한 $InAs_xSb_{1-x}$ 화합물의 유전함수 분석

  • Hwang, Sun-Yong;Kim, Tae-Jung;Byeon, Jun-Seok;Diware, Mangesh S.;Aspnes, David E.;Kim, Yeong-Dong;Sin, Sang-Hun;Song, Jin-Dong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.08a
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    • pp.225-225
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    • 2010
  • 적외선 영역에서의 밴드갭 에너지를 가지고 있는 III-V 족 화합물 반도체 물질인 $InAs_xSb_{1-x}$는 좋은 성장 안정성과 높은 전자, 홀 이동도를 가지며, 제작 비용이 적게 드는 등 적외선 광소자 제작에 많은 이점을 가지고 있기 때문에 그에 관한 연구가 최근 활발히 진행 되고 있다. 하지만 이러한 $InAs_xSb_{1-x}$를 소자 제작에 이용하기 위해서는 임의의 As 함량에 따른 InAsSb의 물질의 광학적 특성 정보가 필요하다. 본 연구에서는 1.5~6.0 eV 에너지 구간에서 $InAs_xSb_{1-x}$ ($0{\leq}x{\leq}1$) 화합물의 임의의 As 함량에 따른 유전함수를 분석하고 그 분석 변수들을 보고하고자 한다. 기성박막층착장치 (molecular beam epitaxy)를 이용하여 GaAs 기판 위에 성장 시킨 $InAs_xSb_{1-x}$ (x = 0.000, 0.127, 0.337, 0.491, 0.726, 1.000) 박막의 순수한 유전함수 $\varepsilon$을 화학적 에칭을 통해 산화막 층을 제거하여 타원편광분석법을 이용하여 얻었다. 측정된 유전율 함수는 Gaussian-broadened polynomial 들의 합으로서 반도체 물질의 유전함수를 정확히 기술하는 변수화 모델을 이용하여 재현하였다. 변수화 모델을 통해 얻어진 각각의 변수들을 As 조성비 x 에 대한 다항식으로 피팅하여 임의의 As 조성비에 대한 변수 값을 얻었다. 그 결과 임의의 조성비에 따른 $InAs_xSb_{1-x}$ ($0{\leq}x{\leq}1$) 의 유전율 함수를 얻어낼 수 있었다. 우리는 이러한 결과가 물질의 실시간 성장 모니터링이나 다층구조 분석, 광소자의 제작 등에 유용한 정보를 제공할 것으로 확신한다.

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Architectural Analysis of Type-2 Interval pRBF Neural Networks Using Space Search Evolutionary Algorithm (공간탐색 진화알고리즘을 이용한 Interval Type-2 pRBF 뉴럴 네트워크의 구조적 해석)

  • Oh, Sung-Kwun;Kim, Wook-Dong;Park, Ho-Sung;Lee, Young-Il
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.1
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    • pp.12-18
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    • 2011
  • In this paper, we proposed Interval Type-2 polynomial Radial Basis Function Neural Networks. In the receptive filed of hidden layer, Interval Type-2 fuzzy set is used. The characteristic of Interval Type-2 fuzzy set has Footprint Of Uncertainly(FOU), which denotes a certain level of robustness in the presence of un-known information when compared with the type-1 fuzzy set. In order to improve the performance of proposed model, we used the linear polynomial function as connection weight of network. The parameters such as center values of receptive field, constant deviation, and connection weight between hidden layer and output layer are optimized by Conjugate Gradient Method(CGM) and Space Search Evolutionary Algorithm(SSEA). The proposed model is applied to gas furnace dataset and its result are compared with those reported in the previous studies.

Design of C-shape Sharp Turn Trajectory using Neural Networks for Fish Robot (신경회로망을 사용한 물고기 로봇의 빠른 방향 전환 궤적 설계)

  • Park, Hee-Moon;Park, Jin-Hyun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.3
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    • pp.510-518
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    • 2014
  • In this study, in order to improve and optimize the performance of the turning mechanism for a fish robot in the fluid, we propose the tail joint trajectories using neural networks to mimic the CST(C-shape Sharp Turn) patterns of a real fish which is optimized in the natural environment. In order to mimic the CST patterns of a fish, we convert the sequential recording CST patterns into the coordinate data, and change the numerical coordinate data into a functions. We change the motion functions to the relative joint angles which is adapted to suit robot's shape and data. However, these relative joint trajectories obtained by the sequential recording of the carp have low-precision. It is difficult to apply to the control of a fish robot. Therefore, the relative joint trajectories are interpolated using neural networks with superior generalization ability and applied to the fish robot. we have found that the proposed method using neural networks is superior to ones using high-order polynomial equation through the computer simulations.

Experimental Design of S box and G function strong with attacks in SEED-type cipher (SEED 형식 암호에서 공격에 강한 S 박스와 G 함수의 실험적 설계)

  • 박창수;송홍복;조경연
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.1
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    • pp.123-136
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    • 2004
  • In this paper, complexity and regularity of polynomial multiplication over $GF({2^n})$ are defined by using Hamming weight of rows and columns of the matrix ever GF(2) which represents polynomial multiplication. It is shown experimentally that in order to construct the block cipher robust against differential cryptanalysis, polynomial multiplication of substitution layer and the permutation layer should have high complexity and high regularity. With result of the experiment, a way of constituting S box and G function is suggested in the block cipher whose structure is similar to SEED, which is KOREA standard of 128-bit block cipher. S box can be formed with a nonlinear function and an affine transform. Nonlinear function must be strong with differential attack and linear attack, and it consists of an inverse number over $GF({2^8})$ which has neither a fixed pout, whose input and output are the same except 0 and 1, nor an opposite fixed number, whose output is one`s complement of the input. Affine transform can be constituted so that the input/output correlation can be the lowest and there can be no fixed point or opposite fixed point. G function undergoes linear transform with 4 S-box outputs using the matrix of 4${\times}$4 over $GF({2^8})$. The components in the matrix of linear transformation have high complexity and high regularity. Furthermore, G function can be constituted so that MDS(Maximum Distance Separable) code can be formed, SAC(Strict Avalanche Criterion) can be met, and there can be no weak input where a fixed point an opposite fixed point, and output can be two`s complement of input. The primitive polynomials of nonlinear function affine transform and linear transformation are different each other. The S box and G function suggested in this paper can be used as a constituent of the block cipher with high security, in that they are strong with differential attack and linear attack with no weak input and they are excellent at diffusion.

Development of Continuous Monitoring Method of Root-zone Electrical Conductivity using FDR Sensor in Greenhouse Hydroponics Cultivation (시설 수경재배에서 FDR 센서를 활용한 근권 내 농도의 연속적 모니터링 방법)

  • Lee, Jae Seong;Shin, Jong Hwa
    • Journal of Bio-Environment Control
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    • v.31 no.4
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    • pp.409-415
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    • 2022
  • Plant growth and development are also affected by root-zone environment. Therefore, it is important to consider the variables of the root-zone environment when establishing an irrigation strategy. The purpose of this study is to analyze the relationship between the volumetric moisture content (VWC), Bulk EC (ECb), and Pore EC (ECp) used by plant roots using FDR sensors in two types of rockwool media with different water transmission characteristics, using the method above this was used to establish a method for collecting and correcting available root-zone environmental data. For the experiment, two types of rockwool medium (RW1, RW2) with different physical characteristics were used. The moisture content (MC) and ECb were measured using an FDR sensor, ECp was measured after extracting the residual nutrient solution from the medium using a disposable syringe in the center of the medium at a volumetric moisture content (VWC) of 10-100%. Then, ECb and ECp are measured by supplying nutrient solution having different concentration (distilled water, 0.5-5.0) to two types of media (RW1, RW2) in each volume water content range (0 to 100%). The relationship between ECb and ECp in RW1 and RW2 media is best suited for cubic polynomial. The relationship between ECb and ECp according to volume moisture content (VWC) range showed a large error rate in the low volume moisture content (VWC) range of 10-60%. The correlation between the sensor measured value (ECb) and the ECp used by plant roots according to the volumetric water content (VWC) range was the most suitable for the Paraboloid equation in both media (RW1, RW2). The coefficient of determination the calibration equation for RW1 and RW2 media were 0.936, 0.947, respectively.

Development and Application of TDR Penetrometer for Evaluation of Soil Water Content of Subsoil (지반의 함수비 평가를 위한 관입형 TDR 프로브의 개발 및 적용)

  • Hong, Won-Taek;Jung, Young-Seok;Lee, Jong-Sub;Byun, Yong-Hoon
    • Journal of the Korean Geotechnical Society
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    • v.31 no.2
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    • pp.39-46
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    • 2015
  • Dielectric constant depends on the variation of soil water content, and the estimation of soil water content using time domain reflectometry (TDR) has been studied by many researchers. The purpose of this study is the development and application of TDR penetrometer (TDRP) in order to evaluate the soil water content according to the penetration depth. The TDRP consists of cone, sleeve, driving rod, hammer, and guide. Three electrodes, which are used to measure the dielectric constant of soils, are mounted on the surface of sleeve and, in turn, connected with coaxial cable and time domain reflectometer. To establish the relationship between the volumetric water content and dielectric constant, several laboratory tests by using the TDRP are performed in the specimens with a variety of volumetric water content. The experimental results show that the dielectric constant is strongly correlated to volumetric water content as polynomial equations with an order of 3. In addition, the volumetric water content calculated from the dielectric constant is similar to that obtained from the sample weight. In the field, a small sampler is used to compare the volumetric water content calculated from the dielectric constant with the volumetric water content obtained from the sample. The results of field application demonstrate that the volumetric water content estimated by the TDRP shows similar trend to the gravimetric water content of sample. This study suggests that the TDRP is effectively used to evaluate the volumetric water content of unsaturated soils according to the penetration depth.

A Numerical Study for Natural Convective Heat Transfer by Finite Element Method (유한요소법을 이용한 자연대류열전달 수치해석 연구)

  • ;Ashley F. Emery
    • Journal of Energy Engineering
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    • v.7 no.1
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    • pp.113-121
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    • 1998
  • In natural convection flows, the fluid velocities are highly dependent on the thermal field and property variations can have a strong effect on both the flow and thermal fields. To examine the effect of property variations, at first, numerical analyses covering wide range of the Prandtl number under the same Rayleigh numbers have been carried out. Next, we have modeled the viscosity and thermal conductivity as parabolic functions of temperature and a comprehensive set of numerical solutions have been obtained to understand the effect. The Prandtl number dependence of Nusselt number is fairly strong even though the effect is still weak compared to the Rayleigh number dependence. When thermophysical properties are dependent on temperature, the flow field showed a fairly weak variation except near boundaries, whereas the temperature field is strongly affected, especially by the temperature dependent thermal conductivity.

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P-Version Model Based on Hierarchical Axisymmetric Element (계층적 축대칭요소에 의한 P-version모델)

  • Woo, Kwang Sung;Chang, Yong Chai;Jung, Woo Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4_1
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    • pp.67-76
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    • 1992
  • A hierarchical formulation based on p-version of the finite element method for linear elastic axisymmetric stress analysis is presented. This is accomplished by introducing additional nodal variables in the element displacement approximation on the basis of integrals of Legendre polynomials. Since the displacement approximation is hierarchical, the resulting element stiffness matrix and equivalent nodal load vectors are hierarchical also. The merits of the propoosed element are as follow: i) improved conditioning, ii) ease of joining finite elements of different polynomial order, and iii) utilizing previous solutions and computation when attempting a refinement. Numerical examples are presented to demonstrate the accuracy, efficiency, modeling convenience, robustness and overall superiority of the present formulation. The results obtained from the present formulation are also compared with those available in the literature as well as with the analytical solutions.

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Heat Transfer Analysis of Bi-Material Problem with Interfacial Boundary Using Moving Least Squares Finite Difference Method (이동최소제곱 유한차분법을 이용한 계면경계를 갖는 이종재료의 열전달문제 해석)

  • Yoon, Young-Cheol;Kim, Do-Wan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.779-787
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    • 2007
  • This paper presents a highly efficient moving least squares finite difference method (MLS FDM) for a heat transfer problem of bi-material with interfacial boundary. The MLS FDM directly discretizes governing differential equations based on a node set without a grid structure. In the method, difference equations are constructed by the Taylor polynomial expanded by moving least squares method. The wedge function is designed on the concept of hyperplane function and is embedded in the derivative approximation formula on the moving least squares sense. Thus interfacial singular behavior like normal derivative jump is naturally modeled and the merit of MLS FDM in fast derivative computation is assured. Numerical experiments for heat transfer problem of bi-material with different heat conductivities show that the developed method achieves high efficiency as well as good accuracy in interface problems.

Criterion to Choose Efficient Far-Field Approximation of Dyadic Green's Function for Impedance Plane like Ocean Surface (해수면 같은 임피던스 평면 위의 다이아딕 그린함수에 관한 효율적 원거리 근사공식 선택 기준)

  • Lee, Hyunsoo;Koh, Il-Suek;Yoon, Jong Suk;Kim, Tae Hyung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.28 no.2
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    • pp.147-154
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    • 2017
  • The impedance approximation has been widely used to model an earth surface such as ocean surface. In calculation of the dyadic Green's function for the impedance half plane, Sommerfeld integral and its partial derivatives are required. It is known that two far-field approximation of the Sommerfeld integral can be represented in terms of Legendre or Laguerre polynomials. Hence, a criterion is required to choose one of two far-field approximations for a given application, which can be expressed in a complex plane of the surface impedance. Also, we approximate the required partial derivatives of Sommerfeld integral and numerically verify the accuracy of the approximation.