• Title/Summary/Keyword: frequency dispersion

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Practical Dispersion-Correction Scheme for Linear Shallow-Water Equations to Simulate the Propagation of Tsunamis (지진해일 전파모의를 위한 선형 천수방정식을 이용한 실용적인 분산보정기법)

  • Cho, Yong-Sik;Sohn, Dae-Hee;Ha, Tae-Min
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1935-1939
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    • 2006
  • In this study, the new dispersion-correction terms are added to leap-frog finite difference scheme for the linear shallow-water equations with the purpose of considering the dispersion effects such as linear Boussinesq equations for the propagation of tsunamis. And, dispersion-correction factor is determined to mimic the frequency dispersion of the linear Boussinesq equations. The numerical model developed in this study is tested to the problem that initial free surface displacement is a Gaussian hump over a constant water depth, and the results from the numerical model are compared with analytical solutions. The results by present numerical model are accurate in comparison with the past models.

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Measurement Ultrasound Attenuation by Using Phase Spectral Difference Method (위상 스펙트럴 차분법에 의한 초음파 감쇠 계수의 측정)

  • Min, Yong-Ki;Choi, Jong-Ho;Lee, Kang-Ho;Choi, Jong-Soo
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.1243-1246
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    • 1987
  • To characterize the biological tissues, the new methods to measure the frequency dependent attenuation are presented in this paper. In general, ultrasonic phase information was assumed by linear function of the frequency. But, the minimum phase function which characterizes the frequency dispersion of tissue was derived in [l]. It is very significant to measure the attenuation by using the minimum phase function to characterize the frequency dispersion of tissue. Therefore, a more efficient method measuring the frequency dependent attenuation are proposed by using the estimated sound velocity and polarity of reflected signal. To verify the algorithms, pulse reflection experiments are performed.

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A Novel High Speed Frequency Sweeping Signal Generator in X-band Based on Tunable Optoelectronic Oscillator

  • Sun, Mingming;Chen, Han;Sun, Xiaohan
    • Current Optics and Photonics
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    • v.2 no.1
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    • pp.53-58
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    • 2018
  • A novel X-band high speed frequency sweep signal generator based on a tunable optoelectronic oscillator (OEO) incorporating a frequency-swept laser is presented and the theoretical fundamentals of the design are explained. A prototype of the generator with tuning range from 8.8552 GHz to 10.3992 GHz and a fine step about 8 MHz is achieved. The generated radiofrequency signal with a single sideband (SSB) phase noise lower than -100 dBc/Hz@10KHz is experimentally demonstrated within the whole tunable range, without any narrow RF band-pass filters in the loop. And the tuning speed of the frequency sweep signal generator can reach to over 1 GHz/s benefiting from applying a novel dispersion compensation modular instead of several tens of kilometers of optical fiber delay line in the system.

Analysis of Magnetic Permeability Spectra of Metamaterials Composed of Cut Wire Pairs by Circuit Theory

  • Lim, Jun-Hee;Kim, Sung-Soo
    • Journal of Magnetics
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    • v.21 no.2
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    • pp.187-191
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    • 2016
  • Retrieving the equivalent electromagnetic parameters (permittivity and permeability) plays an important role in the research and application of metamaterials. Frequency dispersion of magnetic permeability has been theoretically predicted in a metamaterial composed of cut wire pairs (CWP) separated by dielectric substrate on the basis of circuit theory. Magnetic resonance resulting from antiparallel currents between the CWP is observed at the frequency of minimum reflection loss (corresponding to absorption peak) and effective resonator size can be determined. Having calculated the circuit parameters (inductance L, capacitance C) and resonance frequency from CWP dimension, the frequency dispersion of permeability of Lorentz like magnetic response can be predicted. The simulated resonance frequency and permeability spectra can be explained well on the basis of the circuit theory of an RLC resonator.

Modulation Instability in Dispersion and Gain Managed Fibers (이득과 분산을 조절한 광섬유의 변조 불안정성 분석)

  • Choi, Byung-Hoon;Kim, Sang-In
    • Korean Journal of Optics and Photonics
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    • v.18 no.2
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    • pp.93-99
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    • 2007
  • We investigated analytically and numerically the occurrence of modulation instability in fibers with periodic changes both in dispersion and gain. Previously, it has been known that the modulation instability is suppressed in dispersion managed solitons where dispersion is managed in such a way that the local dispersion alternates between the normal and the anomalous regimes. In this work, we enhanced the advantage of the dispersion management scheme by additionally introducing proper gain/loss profiles in fibers. The gain/loss profile is given by $\Gamma(z)=0.5/D(z)*(dD/dz)$, where D(z) represents the dispersion profile. The fundamental gain spectra of the modulation instability in the dispersion and gain managed fibers have been derived analytically and confirmed by numerical calculation. Our investigation reveals that in the dispersion and gain fibers the modulation instabilities are always much more suppressed compared to the case with only dispersion managed. In practical dispersion management schemes, dispersion profiles show discontinuity. and thus. the corresponding gain/loss profiles tend to be finite. In these cases, the gain/loss profiles were approximated by lumped gains/losses of finite values. Our numerical calculations confirm that this approximation also works well.

Analysis of Stability Condition and Wideband Characteristics of 3D Isotropic Dispersion(ID)-FDTD Algorithm (3차원 ID-FDTD 알고리즘의 Stability Condition과 광대역 특성 분석)

  • Kim, Woo-Tae;Koh, Il-Suek;Yook, Jong-Gwan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.4
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    • pp.407-415
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    • 2011
  • The stability condition and wideband characteristics of 3D ID-FDTD algorithm which has low dispersion error with isotropic dispersion are presented in this paper. 3D ID-FDTD method was proposed to improve the defect of the Yee FDTD such as the anisotropy and large dispersion error. The published paper calculated the stability condition of 3D ID-FDTD algorithm by using numerical method, however, it is thought that the examples were not sufficient to verify the stability condition. Thus, in this paper, various simulations are included in order to hold reliability under the conditions that the plane wave propagation is assumed with a single frequency and a wideband frequency. Also, the 3D ID-FDTD algorithm is compared to those that have the similar FDTD algorithm with ID-FDTD such as Forgy's method and non-standard FDTD method in a wideband. Finally, the radar cross section(RCS) for the large sphere with high dielectric constant is calculated.

A Study on the Properties of EMI filter for the Ni/Zn ratio of Ni-Zn Ferrite (Ni-Zn ferrite의 Ni/Zn비 변화에 따른 EMI 비드 필터 특성 연구)

  • 이재영;김왕섭;손용배;김경용
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.6
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    • pp.848-853
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    • 1993
  • The properties of ferrite bead, a low-pass filter, are determined by the frequency dispersion of the complex permeability. In this study, frequency dispersion of complex permeability of the Ni-Zn ferrites with different Ni/Zn ratio were investigated. Relationship between the behavior of filter and dispersion of complex permeability of a ferrite was studied. As a result, it was concluded that the compositions for Ni/Zn ratio of $0.41{\sim}0.47$, having high initial permeability and good sensitivity, were favorable as a ferrite bead filter.

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Measurement Method of Ultrasonic Velocity by Correction of Non-Linear Propagation Delay (비선형 전파지연의 보정에 의한 음속의 측정법)

  • Ko, Duck-Young;Choi, Jong-Ho;Lee, Jong-Arc
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.7
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    • pp.98-105
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    • 1989
  • To characterize the biological tissue, the new method to measure the ultrasonic velocity is presented in this paper. The influence of the dispersion effect on the estimation of the ultrasonic velocity is mostly neglected. A more efficient method determining the minimum phase spectrum is developed to characterize the frequency dispersion form the spectral magnitude function. To eliminate the frequency dispersion, the signal-decomposition method is also proposed. Computer simulations are performed to verify the algorithms.

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Time-discontinuous Galerkin quadrature element methods for structural dynamics

  • Minmao, Liao;Yupeng, Wang
    • Structural Engineering and Mechanics
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    • v.85 no.2
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    • pp.207-216
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    • 2023
  • Three time-discontinuous Galerkin quadrature element methods (TDGQEMs) are developed for structural dynamic problems. The weak-form time-discontinuous Galerkin (TDG) statements, which are capable of capturing possible displacement and/or velocity discontinuities, are employed to formulate the three types of quadrature elements, i.e., single-field, single-field/least-squares and two-field. Gauss-Lobatto quadrature rule and the differential quadrature analog are used to turn the weak-form TDG statements into a system of algebraic equations. The stability, accuracy and numerical dissipation and dispersion properties of the formulated elements are examined. It is found that all the elements are unconditionally stable, the order of accuracy is equal to two times the element order minus one or two times the element order, and the high-order elements possess desired high numerical dissipation in the high-frequency domain and low numerical dissipation and dispersion in the low-frequency domain. Three fundamental numerical examples are investigated to demonstrate the effectiveness and high accuracy of the elements, as compared with the commonly used time integration schemes.

Extremely Low Numerical Dispersion FDTD Method Based on H(2, 4) Scheme for Lossy Material

  • Oh, Il-Young;Hong, Yongjun;Yook, Jong-Gwan
    • Journal of electromagnetic engineering and science
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    • v.13 no.3
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    • pp.158-164
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    • 2013
  • This paper expands a previously proposed optimized higher order (2, 4) finite-difference time-domain scheme (H(2, 4) scheme) for use with lossy material. A low dispersion error is obtained by introducing a weighting factor and two scaling factors. The weighting factor creates isotropic dispersion, and the two scaling factors dramatically reduce the numerical dispersion error at an operating frequency. In addition, the results confirm that the proposed scheme performs better than the H(2, 4) scheme for wideband analysis. Lastly, the validity of the proposed scheme is verified by calculating a scattering problem of a lossy circular dielectric cylinder.