• Title/Summary/Keyword: Nonlinearity coefficient

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Design of nonlinear photonic crystal fibers with ultra-flattened zero dispersion for supercontinuum generation

  • Kumar, Pranaw;Fiaboe, Kokou Firmin;Roy, Jibendu Sekhar
    • ETRI Journal
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    • v.42 no.2
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    • pp.282-291
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    • 2020
  • The study reports on the design and performance of two air-filled and two partial ethanol-filled photonic crystal fiber (PCF) structures with a tetra core for supercontinuum generation. The PCFs are nonlinear with ultra-flattened zero dispersion. Holes with smaller areas are used to create a tetra-core PCF structure. Ethanol is filled in the holes of smaller area while the larger holes of cladding region are airfilled. Optical properties including dispersion, effective mode area, confinement loss, normalized frequency, and nonlinear coefficient of the designed PCF structures are investigated via full vector finite difference time domain (FDTD) method. A PCF structure with lead silicate as wafer exhibits significantly better results than a PCF structure with silica as wafer. However, both structures report dispersion at a telecommunication wavelength corresponding to 1.55 ㎛. Furthermore, the PCF structure with lead silicate as wafer exhibits a very high nonlinear coefficient corresponding to 1375 W-1 km-1 at the same wavelength. This scheme can be used for optical communication systems and in optical devices by exploiting the principle of nonlinearity.

Derivation and Application of Boussinesq Equations for the Wave Field in Porous Media (공극매체에서의 파동장에 대한 Boussinesq 방정식의 유도 및 적용)

  • Chun, Insik;Min, Yongchim;Lim, Hak-Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.35 no.5
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    • pp.1061-1071
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    • 2015
  • In the present study, the Navier-Stokes (N-S) equations delineating water flows inside porous media were derived applying Reynolds transport theorem in order to provide a basis for analyzing water wave problems inside the porous media. Then, the derived N-S equations were compared with the same species of equations in existing researches. Based on the N-S equations, a set of Boussinesq equations was then derived in such a form that the dispersiveness and nonlinearity of water waves inside the porous media can be properly reproduced. Finally, numerical analyses were carried out to demonstrate the validity of the equations. The reflection and transmission coefficients of porous breakwaters were calculated and compared with the results of existing hydraulic experiments. The numerical results showed a rather sensitive dependency on the virtual mass coefficient of grains constituting the porous media. The selection of the coefficient with zero turned out to give nice agreements with numerical and experimental results.

Prediction of Forced Convective Boiling Heat Transfer Coefficient of Pure Refrigerants and Binary Refrigerant Mixtures Inside a Horizontal Tube

  • Kim, Min-Soo;Hong, Eul-Cheong;Shin, Jee-Young;Kyungdoug Min;Ro, Sung-Tack
    • Journal of Mechanical Science and Technology
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    • v.17 no.6
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    • pp.935-944
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    • 2003
  • Forced convective boiling heat transfer coefficients were predicted for an annular flow inside a horizontal tube for pure refrigerants and nonazeotropic binary refrigerant mixtures. The heat transfer coefficients were calculated based on the turbulent temperature profile in liquid film and vapor core considering the composition difference in vapor and liquid phases, and the nonlinearity in mixing rules for the calculation of mixture properties. The heat transfer coefficients of pure refrigerants were estimated within a standard deviation of 14% compared with available experimental data. For nonazeotropic binary refrigerant mixtures, prediction of the heat transfer coefficients was made with a standard deviation of 18%. The heat transfer coefficients of refrigerant mixtures were lower than linearly interpolated values calculated from the heat transfer coefficients of pure refrigerants. This degradation was represented by several factors such as the difference between the liquid and the overall compositions, the conductivity ratio and the viscosity ratio of both components in refrigerant mixtures. The temperature change due to the concentration gradient was a major factor for the heat transfer degradation and the mass flux itself at the interface had a minor effect.

Sound Absorption Characteristics of Finite-Amplitude Acoustic Waves in Poroelastic Materials (탄성다공성 재질에서 유한진폭 입사음파의 흡음 특성)

  • Lee, Soo-Il;Kim, Jin-Seop;Kang, Yeon-June
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.591-595
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    • 2000
  • Sound absorbing characteristics of poroelastic materials is known to be greatly affected by high intensity acoustic waves. However, this effect has not been considered yet. In this study, the extended semilinear model based on Biot's theory for the porous materials and the characteristics of nonlinear waves in poroelastic sound absorbing materials were introduced. The expressions for the finite-amplitude acoustic plane waves were presented. By combining each nonlinear wave with appropriate matching conditions, we could investigate the effects of finite-amplitude acoustic waves on absorption characteristics of poroelastic materials. In the most ideal case considered in this paper, the absorption coefficient was found to become larger than that of linear incident waves. It was shown that the absorption coefficient became greater especially as frequency goes higher and as distance from the source goes larger. These phenomena may be inferred to result from 'dissipation effects due to nonlinearity'. This finding may have important implications for high intensity noise control.

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Settlement prediction for footings based on stress history from VS measurements

  • Cho, Hyung Ik;Kim, Han Saem;Sun, Chang-Guk;Kim, Dong Soo
    • Geomechanics and Engineering
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    • v.20 no.5
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    • pp.371-384
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    • 2020
  • A settlement prediction method based on shear wave velocity measurements and soil nonlinearity was recently developed and verified by means of centrifuge tests. However, the method was only applicable to heavily overconsolidated soil deposits under enlarged yield surfaces. In this study, the settlement evaluation method was refined to consider the stress history of the sublayer, based on an overconsolidation ratio evaluation technique, and thereby incorporate irrecoverable plastic deformation in the settlement calculation. A relationship between the small-strain shear modulus and overconsolidation ratio, which can be determined from laboratory tests, was adopted to describe the stress history of the subsurface. Based on the overconsolidation ratio determined, the value of an empirical coefficient that reflects the effect of plastic deformation over the elastic region is determined by comparing the overconsolidation ratio with the stress increment transmitted by the surface design load. The refined method that incorporate this empirical coefficient was successfully validated by means of centrifuge tests, even under normally consolidated loading conditions.

An Improved Triangular/Square-Wave VCO Using OTAs

  • Jeong, Jin-Woong;Won, Chang-Su;Chung, Won-Sup
    • Journal of IKEEE
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    • v.12 no.3
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    • pp.172-175
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    • 2008
  • An improved triangular/square-wave VCO using OTAs is presented. It consists of two OTAs, a timing capacitor, and a resistor. A prototype circuit built with commercially available components exhibits less than 0.01% nonlinearity in its current-to-frequency transfer characteristic from 0.2 to 14 kHz and 450 ppm/$^{\circ}C$ temperature coefficient of frequency over $-20^{\circ}C$ to $40^{\circ}$.

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FOURTH ORDER ELLIPTIC BOUNDARY VALUE PROBLEM WITH SQUARE GROWTH NONLINEARITY

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.18 no.3
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    • pp.323-334
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    • 2010
  • We give a theorem for the existence of at least three solutions for the fourth order elliptic boundary value problem with the square growth variable coefficient nonlinear term. We use the variational reduction method and the critical point theory for the associated functional on the finite dimensional subspace to prove our main result. We investigate the shape of the graph of the associated functional on the finite dimensional subspace, (P.S.) condition and the behavior of the associated functional in the neighborhood of the origin on the finite dimensional reduction subspace.

Adaptive balancing of highly flexible rotors by using artificial neural networks

  • Saldarriaga, M. Villafane;Mahfoud, J.;Steffen, V. Jr.;Der Hagopian, J.
    • Smart Structures and Systems
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    • v.5 no.5
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    • pp.507-515
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    • 2009
  • The present work is an alternative methodology in order to balance a nonlinear highly flexible rotor by using neural networks. This procedure was developed aiming at improving the performance of classical balancing methods, which are developed in the context of linearity between acting forces and resulting displacements and are not well adapted to these situations. In this paper a fully experimental procedure using neural networks is implemented for dealing with the adaptive balancing of nonlinear rotors. The nonlinearity results from the large displacements measured due to the high flexibility of the foundation. A neural network based meta-model was developed to represent the system. The initialization of the learning procedure of the network is performed by using the influence coefficient method and the adaptive balancing strategy is prone to converge rapidly to a satisfactory solution. The methodology is tested successfully experimentally.

Controller design for compensation of nonlinear harmonic distortion in direct-radiator loudspeakers (직접 방사형 스피커의 비선형 고조파 왜곡 보상 제어기의 설계)

  • 김윤선;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.399-402
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    • 1996
  • The electrodynamic loudspeakers should have a wide dynamic range to reproduce various sound levels. When the input signal is small, the radiated sound from the loudspeaker is not so much distorted. However, for large input signal with low frequency component the radiated sound is significantly distorted due to the nonlinearities of the loudspeaker. The suspension, damping, and magnetic flux of loudspeaker are the main sources of the nonlinearity. Such electromechanical parameters related to harmonic distortion have been represented by a polynomial model for diaphragm displacement, while each of the polynomial coefficient is evaluated by using the principle of harmonic balance experimentally. Based on the polynomial model, we designed a compensator for nonlinear harmonic distortion of direct radiator loudspeaker. Than observer is used to estimate the displacement of the loudspeaker diaphragm, which is rather difficult to measure directly in the conventional setting. The usefulness of the designed compensator is demonstrated by numerical simulations. Simulation results show about 30db decrease at the second and third higher harmonic distortions. We carry out an experiment on speaker to verify designed controller and nonlinear observer.

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An Investigation on Nonlinear Characteristics of Aerodynamic Torque for Variable-Speed Variable-Pitch Wind Turbine (가변속도-가변피치 풍력터빈의 공기역학적 토크의 비선형 특성에 관한 고찰)

  • Lim, Chae-Wook
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.2
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    • pp.29-34
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    • 2011
  • Aerodynamic torque of wind turbine is highly nonlinear due to the nonlinear interactions between wind and blade. The aerodynamic nonlinearity is represented by nonlinear power and torque coefficients which are functions of wind speed, rotational speed of rotor, and pitch angle of blade. It is essential from the viewpoint of understanding and analysis of dynamic characteristics for wind turbine to linearize the aerodynamic torque and define aerodynamic nonlinear parameters as derivatives of aerodynamic torque with respect to the three parameters. In this paper, a linearization method of the aerodynamic torque from power coefficient is presented through differentiating it by the three parameters. And steady-state values of three aerodynamic nonlinear parameters according to wind speed are obtained and their nonlinear characteristics are investigated.