• Title/Summary/Keyword: Scattering wave

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A SCATTERING PROBLEM IN A NONHOMOGENEOUS MEDIUM

  • Anar, I.Ethem
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.335-350
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    • 1997
  • In this article, a scattering problem in a nonhomogeneous medium is formulated as an integral equation which contains boundary and volume integrals. The integral equation is solved for sufficiently small $$\mid$$\mid$1-p$\mid$$\mid$,$\mid$$\mid${k_i}^2-k^2$\mid$$\mid$\;and\;$\mid$$\mid${\nabla}p$\mid$$\mid$$ where $k,\;k_i$ and p the wave numbers and the density respectively.

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A Study of EM Wave Penetration and Scattering of Open Cylindrical Cavity (2차원 Open Cylindrical Cavity의 전자파 투과 및 산란특성연구)

  • Kim, Young-Joo;Cho, Young-Ki
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.38 no.11
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    • pp.55-62
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    • 2001
  • Field penetration and scattering characteristics of two dimensional open cylindrical cavity is studied. Exact analysis for this sort of structure is not achieved even if there are unusual phenomena of field penetration and scattering with cavity and aperture size. In this paper, we calculate a wide range of open cavity characteristics by using of FMM method, which is extended method of MOM. We find external mode of open cylindrical cavity corresponding to internal mode of closed cavity. The characteristics of resonance and scattering of this region is different compare with non resonant area. The result of study will apply to the EM wave shielding and RCS control.

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Electromagnetic Wave Propagation Characteristics from Large Scale Random Rough Surfaces (큰 규모의 불규칙 조면에 의한 전자파 전파 특성)

  • Yoon Kwang-Yeol;Chai Yong-Yoong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.17 no.4 s.107
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    • pp.393-399
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    • 2006
  • In this paper we applied a ray tracing method to estimate the scattering characteristics from large scale random rough surfaces. For the electromagnetic field evaluation, we have used the diffracted coefficient of the knife edge diffraction for the diffracted rays and Fresnel's reflection coefficients in connection with reflected rays. In addition, we examine to search for the traced rays using the imaging method which can be obtained all rays to arrived at receivers accurately and the diffracted field from rough surfaces is considered. Numerical examples have been carried out for the scattering characteristics of an ocean wave-like rough surface and delay spread characteristics of a building-like surface. In the present work we have demonstrated that the ray tracing method is effective to numerical analysis of a rough surface scattering.

Prediction of the Fundamental Mode Lamb Wave Reflection from a Crack-Like Discontinuity Using Eigen-Mode Expansion

  • Park, Jae-Seok;Jang, Chang-Heui;Lee, Jong-Po
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.3
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    • pp.194-199
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    • 2010
  • Based on the idea of eigen-mode expansion, a method to analyze the reflection of Lamb wave from a finite vertical discontinuity of plate is theoretically derived and verified by experiment. The theoretical prediction is in good agreement with the experimental result, and this strongly suggests that eigen-mode expansion method could be used for solution of inverse scattering problem for ultrasonic testing using Lamb wave.

Surface wave scattering by finite periodic gratings of an arbitrary profile in a grounded plane (접지된 유전체 슬랩 도파로에서 주기적인 임의 형태의 격자에 의한 표면파 산란)

  • Lee, Cheol-Hun;Jo, Ung-Hui;Jo, Yeong-Gi
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.37 no.11
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    • pp.1-7
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    • 2000
  • Surface wave scattering by periodic grooves of arbitrary profile in a grounded dielectric slab is investigated for the TE surface wave incidence. Both the finite and infinite periodic geometries are considered. The former case is analyzed by using of hybrid FEM/MOM and the latter by using of full MOM procedure. Some numerical results for the reflected and transmitted powers in a grounded dielectric slab, radiation power into the free space, and radiation patterns in case of finite structure and for the dispersion diagram in case of infinite structure are presented. And some descriptions on the relationship between the finite and infinite structure such as the maximum beam angle are given.

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Development of an Approximate Model for Ultrasonic Evaluation of Small Surface Fatigue Cracks (작은 피로 균열의 초음파 평가를 위한 근사 모델의 개발)

  • Kang, Kae-Myung;Kim, Jin-Yeon
    • Journal of the Korean Society of Safety
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    • v.15 no.2
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    • pp.46-50
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    • 2000
  • A theoretical model for the evaluation of small surface fatigue crack initiated from a pit-type surface flaw is presented. The low frequency scattering model is developed based on the reciprocity principle for the elastic wave scattering. The effect of the flaw on the surface wave reflection from the crack is taken into account approximately by means of the stress intensity factor of cracks on a through thickness hole. The reflection coefficient of surface wave is derived for the prediction of small surface crack depth. Calculated results for pits with different sizes are illustrated.

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Long Wavelength Scattering Approximations for the Effective Elastic Parameters of Spherical Inclusion Problems (장파장 산란 근사를 이용한 구형 개재물 문제의 유효 탄성적 성질)

  • Jeong, Hyun-Jo;Kim, Jin-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.6 s.165
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    • pp.968-978
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    • 1999
  • The effective elastic properties of materials containing spherical inclusions were calculated by the elastic wave scattering theory. In the formulation additional scattering fields by the presence of random multiple scatterers that affects the effective properties were found by the single scattering approximation. In calculating the scattering fields the ensemble average on the displacements and strains inside the scatterer was found from the static approximation at long wavelength limit. The displacements were assumed to be equal to the incident field, while the strains were calculated by Eshelby's equivalent inclusion principle on the single inclusion problem. Four different models were considered and they reflected different degrees of multiple scattering effects based on the approximation introduced in the process of embedding the inclusion in the matrix. The expressions for the effective elastic constants were given in each model, and their relations to the results obtained from other scattering theory and elasticity theory were discussed. The theoretical predictions were compared with experimental results on the epoxy matrix composites containing tungsten particles of different sizes and volume fractions

Investigation of Stimulated Polariton Scattering from the B1-symmetry Modes of the KNbO3 Crystal

  • Li, Zhongyang;Wang, Mengtao;Wang, Silei;Yuan, Bin;Bing, Pibin;Xu, Degang;Yao, Jianquan
    • Current Optics and Photonics
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    • v.2 no.1
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    • pp.90-95
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    • 2018
  • Stimulated polariton scattering from the $B_1$-symmetry modes of a $KNbO_3$ crystal to generate a terahertz wave (THz-wave) with a noncollinear phase-matching scheme is investigated. The frequency-tuning characteristics of the THz-wave by varying the phase-matching angle and pump wavelength are analyzed. The expression for the effective parametric gain length under the noncollinear phase-matching condition is deduced. Parametric gain and absorption characteristics of the THz-wave in $KNbO_3$ are theoretically simulated. The characteristics of $KNbO_3$ for a terahertz parametric oscillator (TPO) are compared to those of $MgO:LiNbO_3$. The analysis indicates that $KNbO_3$ is an excellent optical crystal for a TPO, to enhance the THz-wave output.

Simulation of Trailing Edge Scattering Using Linearized Euler Equations with Source terms (CFD/CAA Hybrid 기법을 이용한 뒷전에서 음향파의 산란모사)

  • Park, Yong-Hwan;Bin, Jong-Hoon;Cheong, Cheol-Ung;Lee, Soo-Gab
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.7
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    • pp.18-25
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    • 2005
  • In this study, the main focus is the simulation of acoustic wave scattering in trailing edge and the analysis of the generation mechanism of instability wave by the interaction of trailing edge, shear flow and initial disturbance. The numerical algorithm is based on CFD/CAA hybrid method with high-order computational aeroacoustic method. It is found that steady mean flow gradient terms play a crucial role on the generation of instability wave through the comparison of simulations of Simple Linearized Euler Equation and Full Linearized Euler Equation. Through the comparison with the results of Full Navier-Stokes Equation, it is reasonable and efficient to use the Full Linearized Euler Equation in the initial generation mechanism of the instability wave near the trailing edge.

Theoretical Investigation on Collinear Phase Matching Stimulated Polariton Scattering Generating THz Waves with a KTP Crystal

  • Tan, Lian;Yuan, Bin;Li, Yongjun;Wang, Silei;Zhang, Hongtao;Bing, Pibin;Yao, Jianquan;Li, Zhongyang
    • Current Optics and Photonics
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    • v.3 no.4
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    • pp.342-349
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    • 2019
  • We present a theoretical research concerning terahertz (THz) wave generation with $KTiOPO_4$ (KTP) by collinear phase matching (CPM) stimulated polariton scattering (SPS). Both CPM and corresponding nonzero nonlinear coefficients can be simultaneously realized with $s{\rightarrow}f+f$ in yz plane, $s{\rightarrow}f+s$ with ${\theta}$ < ${\Omega}$ in xz plane and $s{\rightarrow}f+f$ with ${\theta}$ < ${\Omega}$ in xz plane. The effective nonlinear coefficients including electronic nonlinearities and ionic nonlinearities are calculated. Based on the parameter values of refractive indices, absorption coefficients and effective nonlinear coefficients, we simulate THz wave intensities generated with CPM SPS by solving coupled wave equations and give the relationship among the maximum THz wave intensity, optimal crystal length and the angle ${\theta}$. The calculation results demonstrate that CPM SPS with KTP can generate THz waves with high intensities and quantum conversion efficiencies.