• Title/Summary/Keyword: scattered waves

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Nonlinear Sound Amplification and Directivity Due to Underwater Bubbles (수중 기포에 의한 비선형 음파의 증폭과 지향성)

  • 김병남;최복경;윤석왕
    • The Journal of the Acoustical Society of Korea
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    • v.22 no.4
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    • pp.250-260
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    • 2003
  • Since a bubble in water is a highly nonlinear acoustic scatterer, the acoustic scattered waves from underwater bubbles show highly nonlinear acoustic properties. These acoustic scattered waves can be observed at the second or higher harmonics as well as at the fundamental primary frequency of incident acoustic wave. When two primary acoustic waves of different frequencies are incident on a bubble, the acoustic scattered waves can be also observed at the sum and the difference frequencies of the primary waves. In this study, when the two primary acoustic waves were incident on a bubble screen in water, we observed that the amplitude of difference frequency wave was amplified by the bubble nonlinearity and its directivity was oriented in the propagation directions of primary waves. The directivity of scattered difference frequency wave was analyzed as a coherent scattering for virtual source by using the directivity of the primary acoustic wave.

Electromagnetic Scattering by a Plasma Column Moving in the Perpendicular Direction to Its Axis (축과 수직방향으로 운동하는 프라즈마원주에 의한 평면전자파의 산란)

  • 구연건
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.8 no.1
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    • pp.17-22
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    • 1983
  • Scattering of obliquely incident plane electromagnetic waves by an isotropic plasma coumn which is moving uniformly in the perpendicular direction to its axis is treated analytically on the basis of Lorentz transform and boundary conditions. The scattered field, the total scattering cross-section, the rader cross-section, and the angular distribution of the scattered power for the incident plane waves polarized arbitrarily are derived to find the function of the moving velocity of the plasma column and of the angle of the incident plane waves and to find the scattered field of the H-waves more distinguishable than the E-waves.

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Theory of Scalar Wave Scattering by a Sphere and a Planar Substrate

  • Park, Byong Chon;Kim, Jin Seung
    • Journal of the Korean Physical Society
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    • v.73 no.10
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    • pp.1512-1518
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    • 2018
  • The problem of scalar wave scattering by a sphere on or near a planar substrate is analytically solved. The solution is a set of wave functions coming in the form of infinite series of spherical and plane waves. In air, the incident plane wave is either scattered by the sphere or reflected from the substrate. A part of these scattered or reflected waves propagate to the other object where it is reflected and scattered again. Such processes of scattering and reflection repeat in turn indefinitely to generate multiply scattered waves, which are represented in the corresponding terms in the infinite series. The term in the series can be arranged in a recognizable manner to explicitly reveal the involved process and the multiplicity of scattering.

Analysis of Multi-Mode Reflection and Transmission Coefficients of a Lamb Wave Across a Rectangular Notch (사각형 노치에 대한 램파의 다중 모드 반사와 투과 계수 해석)

  • Kim, Byung-Soo;Roh, Yong-Rae
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.3
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    • pp.129-139
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    • 2008
  • The purpose of the present work is to derive the reflection and transmission coefficients of $S_0\;and\;A_0$ mode Lamb waves in relation to the geometry of a rectangular notch when the waves propagate across the notch in an elastic plate. Firstly, the excitable modes of the Lamb wave were analyzed with respect to the plate thickness. The scattering phenomena were divided into three independent processes according to the boundary shape of the notch and the direction of the wave propagation. Linear equations for each process were derived with corresponding free or continuous boundary conditions to analyze the scattered waves. By the rule of linear superposition, the waves scattered at each process were summed for each mode. Then the steady-state reflection and transmission coefficients of the scattered waves were determined so that the difference of energy flux between the incident and the scattered waves would remain within 4%.

NONLINEAR FREE SURFACE CONDITION DUE TO SECOND ORDER DIFFRACTION BY A PAIR OF CYLINDERS

  • BHATTA DAMBARU D.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.171-182
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    • 2005
  • An analysis of the non-homogeneous term involved in the free surface condition for second order wave diffraction on a pair of cylinders is presented. In the computations of the nonlinear loads on offshore structures, the most challenging task is the computation of the free surface integral. The main contribution to this integrand is due to the non-homogeneous term present in the free surface condition for second order scattered potential. In this paper, the free surface condition for the second order scattered potential is derived. Under the assumption of large spacing between the two cylinders, waves scattered by one cylinder may be replaced in the vicinity of the other cylinder by equivalent plane waves together with non-planner correction terms. Then solving a complex matrix equation, the first order scattered potential is derived and since the free surface term for second order scattered potential can be expressed in terms of the first order potentials, the free surface term can be obtained using the knowledge of first order potentials only.

Active damage localization technique based on energy propagation of Lamb waves

  • Wang, Lei;Yuan, F.G.
    • Smart Structures and Systems
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    • v.3 no.2
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    • pp.201-217
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    • 2007
  • An active damage detection technique is introduced to locate damage in an isotropic plate using Lamb waves. This technique uses a time-domain energy model of Lamb waves in plates that the wave amplitude inversely decays with the propagation distance along a ray direction. Accordingly the damage localization is formulated as a least-squares problem to minimize an error function between the model and the measured data. An active sensing system with integrated actuators/sensors is controlled to excite/receive $A_0$ mode of Lamb waves in the plate. Scattered wave signals from the damage can be obtained by subtracting the baseline signal of the undamaged plate from the recorded signal of the damaged plate. In the experimental study, after collecting the scattered wave signals, a discrete wavelet transform (DWT) is employed to extract the first scattered wave pack from the damage, then an iterative method is derived to solve the least-squares problem for locating the damage. Since this method does not rely on time-of-flight but wave energy measurement, it is more robust, reliable, and noise-tolerant. Both numerical and experimental examples are performed to verify the efficiency and accuracy of the method, and the results demonstrate that the estimated damage position stably converges to the targeted damage.

Numerical Analysis and Characteristics of Acoustic and Elastic Wave Scattering from Rigid or Soft Objects (강성 또는 연성 물체로 인한 음향파와 탄성파 산란의 수치해석 및 특성 분석)

  • Huinam Rhee
    • Journal of KSNVE
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    • v.8 no.6
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    • pp.1172-1180
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    • 1998
  • Elastic wave scattering from an acoustically rigid or soft object is studied and compared with the acoustic wave scattering. The behavior of phases as well as magnitudes of partial waves and their total summation of scattered wave are numerically analyzed and discussed. The effect of mode conversion, which occurs between longitudinal and transversal waves in elastic wave scattering. on the magnitudes and phases of scattered waves is identified.

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Scattering Sound by a Flexinble Cylindrical Cavity (매질이 다른 무한 실린더에 의한 음의 산란)

  • Kim, Yu-Man;Lee, Byung-Ho
    • The Journal of the Acoustical Society of Korea
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    • v.7 no.4
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    • pp.117-126
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    • 1988
  • The pressure waves scattered by an infinite cylindrical cavity filled with air in a h0mogeneous medium have been calculated for the incident plane pressure waves. For ka = 1/2, 1, 2, 4, 10 and 20, the scattered pressure waves are plotted., where k is the wave number and a is the radius of the cylindrical hole. As an indicator of the directivity of the scattering pattern, we have defined the angle at which the magnitude of the scattered pressure wave decreases by a half(6 dB) with respect to that of the forward peak scattered pressure wave. This angle depends strongly on the values of ka and the distance r, and the angle can be used for the detection of the location and the size of the cavity in a homogeneous medium.

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Analysis of Modulus and Phase of Resonance Scattered Elastic Waves from Cylindrical Fluid Scatterers (원통형 유체 산란체에 의한 공명 산란 탄성파의 진폭 및 위상 해석)

  • 임현준;홍기석;김정태
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.4
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    • pp.62-70
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    • 2001
  • Based on the recently developed resonance scattering theory for elastic waves, a relationship between the stress components, which may be measured using ultrasonic transducers, of partial waves scattered from cylindrical fluid scatterer, cavity, and resonance scatterer has been derived. The computed resonance scattered stresses exhibit frequency behaviors similar to the corresponding scattering coefficients: particularly, abrupt changes in phase by 180°near the resonant frequencies. By studying the behavior of pressure in the fluid scatterer, the physics of the theory has been further understood. Using the method studied and developed in this paper, nondestructive characterization of fluid inclusions in elastic media is expected to become more reliable.

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The Electro-Mechanical Signal Transformation of Piezo-Electric Transducer (압전식 탐촉자의 기계-전기 신호 변환)

  • Ahn, Tae-Won
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.2
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    • pp.110-115
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    • 2000
  • The electromechanical reciprocity identity is introduced to relate the voltage at the terminals of a transducer to the acoustic wavefields scattered from the specimen. The voltage at the terminals of the transducer is expressed as an integral equation in terms of the displacement and stress of the incident and scattered waves on the closed surface enclosing the scatterer. The equation is used to relate the voltage at the terminals of an acoustic microscope's transducer to the acoustic wavefields at the interface between the specimen and the coupling fluid. The voltage calculated using the integral equation is compared with the experimental result.

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