• Title/Summary/Keyword: group velocity dispersion

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A Study of the comparison of Inversion of Rayleigh wave Group and Phase Velocities for Regional Near-Surface 2-Dimensional Velocity Structure (천부지각 2차원 속도구조를 위한 레일리파의 군속도와 위상속도 역산의 비교 연구)

  • Lee, Bo-Ra;Jung, Hee-Ok
    • 한국지구물리탐사학회:학술대회논문집
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    • 2006.06a
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    • pp.51-59
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    • 2006
  • The surface wave data obtained in a tidal flat located in the sw coast of the Korean Peninsula were used to analyse the shear wave velocity structure of the area. First, the phase velocity dispersion curves were obtained by the tau-p stacking method and the group velocity dispersion curves by a wavelet transform method and the Multiple Filtering Technique by Dziewonski. The phase velocity dispersion curves exhibited bigger errors than the group velocity curves. The results showed that the wavelet transform method was more effective in separating the fundamental and the 1st higher mode group velocity curves than the Multiple Filtering Technique. Combined use of the fundamental and the 1st higher mode group velocity dispersion curves in the inversion for the shear wave velocity structure gave better spatial resolution compared when the fundamental mode group velocity was used alone. This study indicates that the group velocity dispersion curves can be used in the inversion of Rayleigh waves for the shear wave velocity structure, especially effectively with the higher mode group velocity curves together.

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A novel method for calculation of dispersions in biaxial crystals for frequency conversion of short pulse lasers (극초단 펄스 레이저의 파장변환을 위한 이축 비선형 광학 결정에서 분산의 새로운 계산법)

  • Park Jae U;Yun Chun Seop
    • Proceedings of the Optical Society of Korea Conference
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    • 2003.02a
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    • pp.222-223
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    • 2003
  • As laser pulse width becomes shortened from nanoseconds to femtoseconds, the effects caused by the dispersions of nonlinear optical mediums, such as group velocity mismatch and group velocity dispersion become considerably significant. The group velocity mismatch and group velocity dispersion are the major factors that lead to a decrease of frequency conversion efficiency and pulse spreading for picosecond and femtosecond pulses. (omitted)

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The Determination of Group Velocity of Lamb Wave So Mode in Composite Plates with Anisotropy (이방성 복합재료 판에서 램파 $S_0$ 모드의 군속도 결정)

  • Rhee, Sang-Ho;Lee, Jeong-Ki;Lee, Jung-Ju
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.4
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    • pp.239-245
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    • 2006
  • Experimentally measured Lamb wave group velocities in composite materials with anisotropic characteristics are not accorded with the theoretical group velocities as calculated with the Lamb wave dispersion equation. This discrepancy arises from the fact that the angle between the group velocity direction and the phase velocity direction in anisotropic materials exists. Wave propagation in a composite material with anisotropic characteristics should be considered with respect to magnitude in addition to direction. In this study, $S_0$ mode phase velocity dispersion corves are depicted with the variation of degree with respect to the fiber direction using a Lamb wave dispersion relation in the unidirectional, bidirectional, and quasi-isotropic composite plates. Slowness surface is sketched by the reciprocal value of the phase velocity curves. The magnitude and direction of the group velocity are calculated from the slowness surface. The theoretically determined group velocity, which is calculated from the slowness surface, Is compared with experimentally measured group velocities. The proposed method shows good agreements with theoretical and experimental results.

The Group Velocity of Lamb Wave Generated by the one Source in Unidirectional Laminated Composite Plates (일방향 적층 복합재료 판에서 한 음원에서 발생된 램파의 군속도)

  • Lee Jeong-Ki;Rhee Sang-Ho
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.3
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    • pp.107-112
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    • 2006
  • The elastic waves in a plate are dispersive waves due to the characteristics of Lamb waves. However, S0 symmetric mode is less dispersive in the frequency region below the first cut-off frequency. The wave Propagation velocities vary with the direction in anisotropic plates such as Carbon Fiber Reinforced Plastic (CFRP) Plates. The wave vector direction and energy flow vector direction are same in isotropic plates. However, the wave vector direction same as the phase velocity direction is not in accordance with the energy flow direction same as the group velocity direction in anisotropic plates. In this study. the dispersion curves or the phase velocity from anti-symmetric and symmetric Lamb wave dispersion equation are calculated for unidirectional laminated composite plate. Slowness surface is sketched using phase velocity under the first cut-off frequency. The direction and magnitude of group velocity are corrected with this slowness surface. The measured group velocities are in good agreement with the corrected group velocity curve except near the fiber direction zone which is called the cusp region.

A NOTE ON THE DISPERSION RELATION OF THE MODIFIED BOUSSINSQ EQUATIONS

  • Cho, Yong-Sik;Lee, Chang-hoon
    • Water Engineering Research
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    • v.1 no.4
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    • pp.293-298
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    • 2000
  • Optimal values of $\alpha$ characterizing the linear dispersion property in the modified Boussinesq equations are determined by minimizing the combined relative errors of the phase and group velocities. The value of $\alpha$ is fixed in previous studies, whereas it is varying in the present study. The phase and group velocities are calculated by using variable $\alpha$ and compared to those of the linear Stokes wave theory and previous studies. It is found that the present study produces the best match to the linear Stokes theory.

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The Effect of Dispersion Relations on the Determination of Surface Acoustical Wave Velocity (주파수 의존성이 표면탄성파의 속도 결정에 미치는 영향)

  • Kwon, Sung-D.;Yoon, Seok-S.;Lee, Seung-H.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.19 no.5
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    • pp.340-346
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    • 1999
  • Minimum reflection and backward radiation methods on liquid/solid interrace were used to determine the velocity dispersion relation of acoustical surface wave for brass and aluminum substrates and copper/stainless steel nickel/brass, and nickel/aluminum layered substrates. Dispersion data agreed to dispersion characteristics of a generalized Lamb wave. The difference between velocities determined by two phenomena was closely related to the dispersion characteristics. This correspondence was explained by considering the generation mechanism of surface waves and the concept of group velocity.

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Determination of Phase Velocity Dispersion Curve and Group Velocity of lamb Waves Using Backward Radiation (후방복사를 이용한 램파의 위상속도 분산과 군속도의 측정)

  • 송성진;권성덕;정용무;김영환
    • The Journal of the Acoustical Society of Korea
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    • v.22 no.1
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    • pp.61-68
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    • 2003
  • The guided wave has been widely employed to characterize thin plates and layered media. The dispersion curves of phase and group velocities are essential for the quantitative application of guided waves. In the present work, a fully automated system for the measurement of backward radiation of LLW has been developed. The specimen moves in two dimensional plane as well as in angular rotation. The signals of backward radiation of LLW were measured from an elastic plate in which specific modes of Lamb wave were strongly generated. Phase velocity of the corresponding modes was determined from the incident angle. The generated Lamb waves propagated forward and backward with the leakage of energy into water. Backward radiated LLW was detected by the same transducer and its frequency components were analyzed to extract the related information to the dispersion curves. The dispersion curves of phase velocity were measured by varying the incident angle. Moving the specimen in the linear direction of LLW propagation, group velocity was determined by measuring the transit time shift in the ultrasonic waveform.

System Performance Depending on the Fiber Span Number in Dispersion Managed Optical Transmission Links with Uniform Distributions of SMF Lengths and Residual Dispersion Per Span (SMF 길이와 RDPS가 분포가 균일한 분산 제어 광전송 링크에서 광섬유 중계 구간 수에 따른 시스템 성능)

  • Lee, Seong-Real
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2015.05a
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    • pp.620-621
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    • 2015
  • The system performances of WDM channel signals as a function of the number of fiber spans in optical link with the uniform distributions of single mode fiber (SMF) lengths and residual dispersion per span (RDPS) for the compensation for the distorted WDM signals due to the group velocity dispersion (GVD) are evaluated and compared.

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System Performance Depending on the Artificial Distributions of RDPS in 80 km × 50 Spans Dispersion Managed Optical Transmission Links (80 km × 50 Spans 분산 제어 광전송 링크에서 RDPS가 인위적 분포 패턴에 따른 시스템 성능)

  • Lee, Seong-Real
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2015.05a
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    • pp.625-626
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    • 2015
  • The optimal distribution pattern for the compensation for the distorted WDM signals due to the group velocity dispersion (GVD) and the nonlinear Kerr effects is induced in $80km{\times}50spans$ optical link with an artificial distributions of single mode fiber (SMF) lengths and residual dispersion per span (RDPS).

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Investigation of heating and accretion event of Milky Way disk

  • Lee, Ayeon;Lee, Young Sun;Kim, Young Kwang
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.67.2-67.2
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    • 2021
  • We present preliminary results on the chemical and kinematic analysis of accreted and heated metal-rich (-1.0 < [Fe/H] < -0.3) stars in the Galactic disk. These stars are in the ranges of e > 0.7, -100 < V𝜙 < 100 km/s, and |Z| < 3 kpc, and are presumably heated (accreted) by (from) past merger events such as Gaia Enceladus and Sausage (GSE). These stars are largely separated into two groups based on the level of [α/Fe] and radial velocity dispersion. The first group has low [α/Fe] and high radial velocity dispersion, and the second group shows high [α/Fe] and low radial velocity dispersion. We propose that the first group of stars are accreted from the GSE galaxy, whereas the second group of stars are dynamically heated by the GSE merger event.

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