• Title/Summary/Keyword: Diffraction theory

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The Boundary Element Analysis of Wave Force acting on Multiple Cylinders

  • Kim, Nam-Hyeong;Cao, Tan Ngooc Than;Yang, Soon-Bo
    • Journal of Navigation and Port Research
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    • v.36 no.7
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    • pp.561-569
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    • 2012
  • In this paper, the boundary element method is applied to solve the diffraction of waves by multiple vertical cylinders under the assumption of linear wave theory. A numerical analysis by boundary element method is based on Green's theorem and introduced to an integral equation for the fluid velocity potential around the cylinders. The numerical results obtained in this study are compared with the experimental data and the results of the theory using multiple scattering techniques. The comparisons show strong agreement. This numerical analysis method developed by using boundary element method could be used broadly for the design of various offshore structures to be constructed in coastal zones in the future.

RCS Reduction of Generic Missile from Elliptical Ogive Head (타원형 Ogive헤드에 의한 미사일 구조의 RCS감소)

  • 심재륜;한대현
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.4
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    • pp.901-905
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    • 2000
  • An elliptical ogive head for a generic missile is proposed to reduce its detectable probability from aground defense radar. Numerical RCS results of a generic missile with an elliptical ogive head are evaluated using the GTD/UTD (Geometrical Theory of Diffraction/uniform GTD). The results are compared with those of a cylindrical ogive head. In the sense of aerodynamics, the performance evaluation of an elliptical ogive head for a generic missile should be followed.

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High-frequency Back-scattering Cross Section Analysis of Rotating Targets (회전 표적의 고주파수 후방산란단면적 해석)

  • Kim, Kook-Hyun;Cho, Dae-Seung;Kim, Jin-Hyeong
    • Journal of the Korea Institute of Military Science and Technology
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    • v.10 no.3
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    • pp.16-24
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    • 2007
  • The high-frequency analysis method of back-scattering cross section spectrum of rotating targets is established. The time history of the back-scattering cross section is calculated using a quasi-stationary approach, based on a physical optics and a physical theory of diffraction, combining an adaptive triangular beam method to consider the shadow effect. And the spectra of back-scattering cross section by the Doppler effect are analyzed applying a simple fast Fourier transform method to its time history. The numerical calculation for rotating targets, such as rotating metal plates and underwater propeller, are carried out. The time history appears to be periodic with respect to the number of wings. The backscattering cross section spectrum level and its frequency shift are dependent on the rotating speed, direction, and the shape of the targets.

Analysis of cross-talk effects in volume holographic interconnections using perturbative integral expansion method

  • Jin, Sang-Kyu
    • Journal of the Optical Society of Korea
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    • v.2 no.2
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    • pp.58-63
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    • 1998
  • Cross-talk effects in high-density volume holographic interconnections are investigated using perturbative iteration method of the integral form of Maxwell's wave equation. In this method, the paraxial approximation and negligence of backward scattering introduced in conventional coupled mode theory is not assumed. Interaction geometries consisting of non-coplanar light waves and multiple index gratings are studied. Arbitrary light polarization is considered. Systematic analysis of cross-talk effects due to multiple index gratings is performed in increasing level of diffraction orders corresponding to successive iterations. Some numerical examples are given for first and third order diffraction.

TIME-DEPENDENT WAVE EQUATIONS ON BOTTOM WITH SUBSTANTIAL DEPTH VARIATION

  • Suh, Kyung-Duck;Lee, Changhoon
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1995.10a
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    • pp.75-80
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    • 1995
  • The model for the combined refraction and diffraction of water waves, the so-called mild-slope equation, was first developed by Berkhoff (1972) and has been studied by many coastal engineers because the model is able to consider the combined effect of refraction and diffraction of water waves and eliminate the problem of ray crossing which may happen in the previously developed ray theory. (omitted)

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Derivation of Nonlinear Mild-Slope Equation and Numerical Simulation (비선형 완경사 방정식의 유도 및 수치모의)

  • Lee, Jung-Lyul;Park, Chan-Sung
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2000.09a
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    • pp.103-112
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    • 2000
  • Early efforts to model wave transformation from offshore to inshore were based on the ray theory which accounts for wave refraction due to changes in bathymetry and the diffraction effects were ignored. Prediction of nearshore waves with the combined effects of refraction and diffraction as well as reflection has taken a new dimension with the use of the mild-slope equation and the Boussinesq equation. (omitted)

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Nonparaxial Imaging Theory for Differential Phase Contrast Imaging

  • Jeongmin Kim
    • Current Optics and Photonics
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    • v.7 no.5
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    • pp.537-544
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    • 2023
  • Differential phase contrast (DPC) microscopy, a central quantitative phase imaging (QPI) technique in cell biology, facilitates label-free, real-time monitoring of intrinsic optical phase variations in biological samples. The existing DPC imaging theory, while important for QPI, is grounded in paraxial diffraction theory. However, this theory lacks accuracy when applied to high numerical aperture (NA) systems that are vital for high-resolution cellular studies. To tackle this limitation, we have, for the first time, formulated a nonparaxial DPC imaging equation with a transmission cross-coefficient (TCC) for high NA DPC microscopy. Our theoretical framework incorporates the apodization of the high NA objective lens, nonparaxial light propagation, and the angular distribution of source intensity or detector sensitivity. Thus, our TCC model deviates significantly from traditional paraxial TCCs, influenced by both NA and the angular variation of illumination or detection. Our nonparaxial imaging theory could enhance phase retrieval accuracy in QPI based on high NA DPC imaging.

Mathematical Models of Environmental Problems on the Electromagnetic Interference for Wind Turbines (풍력 터빈에 의한 전자기 간섭 환경 문제의 수학적 모델링)

  • Chang, Se-Myong
    • Journal of Environmental Science International
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    • v.18 no.8
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    • pp.911-918
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    • 2009
  • Electromagnetic interference (EMI) is defined as the interaction phenomena of electromagnetic waves scattered from a large structure or complex terrain. In this study, the propagation of linear wave is modeled with ray theory, direct simulation Monte Carlo (DSMC), and some classical theories on flat plates. The wave physics of reflection, refraction, and diffraction are simulated for the investigation of front and back scattering of the one-dimensional plane wave from a tower with ray theory and DSMC, respectively. The effect of rotating disk idealized from the real wind-turbine blades is modeled with a simplified version of the classical electromagnetic theory as well as DSMC based on the ray theory.

Prediction of Mean Diameters Based on the Instability Theory for Twin Fluid Nozzle (불안정 이론을 이용한 2유체 노즐에서의 분무입경예측)

  • Kim, Kwan-Tae;Ahn, Kook-Young;Kim, Han-Seok;Ryu, Jeong-In
    • Journal of the Korean Society of Combustion
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    • v.1 no.1
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    • pp.57-64
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    • 1996
  • The atomizing characteristics in a spray injected from a twin fluid atomization nozzle have been investigated. The Sauter mean diameters as mean diameter are compared with wavelength calculated from the instability theory. The Sauter mean diameter are measured by the Fraunhofer diffraction theory using the Malvern particle sizer. The wavelength is calculated using the mean relative velocity instead of the exit relative velocity of nozzle. Also shadowgraphy technique is used to visualize atomization phenomena. This paper gives a possibility that the mean diameter can be predicted with the wavelength obtained by the simple instability theory.

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A Study on the One-way Optical Image Transmission Through Optical Fiber by Degenerate Four Wave Mixing (축퇴 4 광파 혼합에 의한 광섬유에서의 광영상 직접전송에 관한 연구)

  • 안병구;이우상;김은수;양인응
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.4
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    • pp.460-466
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    • 1988
  • In this paper, the theory and experiments on the one-way optical image transmission through optical fiber by using degenerate four wave mixing in BSO single crystal are demonstrated. From the theoretical analysis, the diffraction efficiency of phase conjugate wave in BSO single crystal is greatly dependent on applied electric field intensity, diffraction grating period formed in the crystal and incident beam ratio, those are also in good agreement with the experimental results. Based on the experimental results, we have arranged the typical degenerate four wave mixing system in the optimal conditions (applied electric field, E. = 5kV/cm` diffraction grating period, 3\ulcorner` beam ratio of backward pump wave versus signal wave, 2.7) and realized one-way optical image transmission system through optical fiber using BSO single crystal.

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