• Title/Summary/Keyword: Fresnel 근사

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Approximation of a Warship Passive Sonar Signal Using Taylor Expansion (테일러 전개를 이용한 함정 수동 소나 신호 근사)

  • Hong, Wooyoung;Jung, Youngcheol;Lim, Jun-Seok;Seong, Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.33 no.4
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    • pp.232-237
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    • 2014
  • A passive sonar of warship is composed of several directional or omni-directional sensors. In order to model the acoustic signal received into a warship sonar, the wave propagation modeling is usually required from arbitrary noise source to all sensors equipped to the sonar. However, the full calculation for all sensors is time-consuming and the performance of sonar simulator deteriorates. In this study, we suggest an asymptotic method to estimate the sonar signal arrived to sensors adjacent to the reference sensor, where it is assumed that all information of eigenrays is known. This method is developed using Taylor series for the time delay of eigenray and similar to Fraunhofer and Fresnel approximation for sonar aperture. To validate the proposed method, some numerical experiments are performed for the passive sonar. The approximation when the second-order term is kept is vastly superior. In addition, the error criterion for each approximation is provided with a practical example.

Spectral Analysis of Arrayed Waveguide Grating (Arrayed Waveguide Grating의 스펙트럼해석)

  • Jung, Jae-Hoon
    • Journal of IKEEE
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    • v.8 no.1 s.14
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    • pp.121-127
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    • 2004
  • We performed the spectrum analysis of arrayed waveguide grating using Fresnel Kirchhoff diffraction formula and its approximated Fraunhofer diffraction equation and applied both methods to 16 channel and 40 channel models. We presented the spectra and found out the limitations of Fraunhofer diffraction in analysis of arrayed waveguide grating and compared the errors coming from Fraunhofer diffraction approximation and due to imperfection during the fabrication process.

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Scattering characteristic analysis of Fresnel zone plate lens using TLM (TLM법을 이용한 프레넬 존 플레이트 렌즈 산란특성 해석)

  • 김태용
    • Proceedings of the Korea Society for Simulation Conference
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    • 2003.06a
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    • pp.15-18
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    • 2003
  • Most numerical techniques such as FEM, BEM, and MOM are able to analize electromagnetic scattering problems from arbitrary shapes. Although these methods could be applied to compute electromagnetic scattering problems in frequency domain, it was limited for electrodynamic problem in time domain. In this paper, electromagnetic scattering problem from Fresnel zone plate lens are considered. Some numerical results computed by TLM are compared with Kirchhoff's approximation and PO method.

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Characteristics of Elliptic Fresnel Zone Plate Antenna (타원형 프레넬 존 플레이트 안테나 특성)

  • Kim, Tae-Yong;Jo, Heung-Kuk
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2011.10a
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    • pp.49-50
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    • 2011
  • Receiving sensitivity of the power gain by using Soret typed FZPL antenna should be worse when obliquely incident wave is illuminated on the FZPL. To solve this problem, elliptic Fresnel Zone Plate Lens antenna system should be introduced. Some numerical results computed by PO method are compared with Kirchhoff's approximation and measurement result.

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Fresnel Zone Plate Antenna Analysis using PO Method (PO법을 이용한 프레넬 존 플레이트 안테나 해석)

  • Kim, Tae-Yong;Lee, Hoon-Jae
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.05a
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    • pp.74-76
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    • 2012
  • In order to design Transceiver/Receiver antenna with high gain in Ka band, Fresnel zone plate lend(FZPL) antenna is considered and analyzed. Physical optics is applied to demonstrate the FZPL. The FZPL is configured to 11 elements diffraction zones and drived at 20GHz. As a result, calculated received gain using PO method is 33.01dB.

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Non-linear phenomenon adjacent to focal plane within the focused fields diffracted by a straight edge (직선 edge에 의해 회절된 초음파 집속음장의 초점부근에서의 비선형 현상)

  • 김정순
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1998.06e
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    • pp.243-246
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    • 1998
  • 집속음장의 고조파성분을 이용한 초음파영상의 특성을 해석하기 위해 집속된 가우스 음원에 직선 edge를 초점면 및 초점면의 전, 후방에 삽입하여 edge의 후방에서 생성되는 음장을 조사하였다. 계산에서는 그린함수의 간단화를 위해 Fresnel근사를 이용하였고, 실험에서는 성형전극을 형성시킨 1.9MHz 요면진동자에 의한 가우스분포의 음장을 갖는 초음파빔에 수직하게 edge를 삽입시켰다. 음장의 이론해석 및 실험결과, 초점면의 제2고조파의 빔형상을 제외하고는 계산치와 실험치가 잘 일치하고 있으며, 제2고조파의 공간 분해능이 기본파에 비해 높음을 알았다.

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Nonlinear phenomena in the focused fields diffracted by a straight edge (직선 edge 에 의해 회절된 집속음장내에서의 비선형 현상)

  • 김정순
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1998.06d
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    • pp.13-17
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    • 1998
  • 집속음장이 고조파성분을 이용한 초음파영상의 특성을 해석하는 초기단계로서 음축에 수직하게 놓인 강체판의 직선 edge가 집속 가우스빔을 회절시킨다고 가정하고, edge의 전후에서 발생하는 제 2고조파를 고려해서 회절음장을 해석하였다. 계산에서는 그린함수의 간단화를 위해 , Fresnel 근사를 이용하였고 실험에서는 성형전극을 형성시킨 요면 압전진동자에 의한 1.9MHz 집속가우스음원에 의해 만들어지는 초음파 빔에 수직하게 edge을 삽입시켰다. 회절 edge 후방에서 음장을 관측한 결과, 제 2고조파의 빔형상을 제외하고는 계산치와 실험치가 잘 일치하고 있다.

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Diffraction of Electromagnetic Waves by a Dielectric Wedge, Part I: Physical Optics Approximation (쇄기형 유전체에 의한 전자파의 회절, I부 : 물리광학근사)

  • 김세윤;라정웅;신상영
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.8
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    • pp.874-883
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    • 1988
  • A complete form of physical optics solution to the diffraction of electromagnetic waves by a dielectric wedge with arbitrary dielectric constant and general wedge angle is obtained for an incident plane wave with any angle. Based on the formulation of dual integral equation in the spectral domain, the physical optics solution is constructed by sum of geometrical optics term including multiple reflection inside the wedge and the edge diffracted field, of which diffraction functions are represented in a quite simple form as series of cotangent functions weighted by the Fresnel reflection coefficients. Since diffraction patterns of physical optics are discontinous at dielectric interfaces, Part II and III of these three companion papers will be concerned with correction to the error of the physical optics approximation.

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Development of Efficient Monitoring Algorithm at EGS Site by Using Microseismic Data (미소진동 자료를 이용한 EGS 사이트에서의 효율적인 모니터링 알고리듬 개발)

  • Lee, Sangmin;Byun, Joongmoo
    • Geophysics and Geophysical Exploration
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    • v.19 no.3
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    • pp.111-120
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    • 2016
  • In order to enhance the connectivity of fracture network as fluid path in enhanced/engineered geothermal system (EGS), the exact locating of hydraulic fractured zone is very important. Hydraulic fractures can be tracked by locating of microseismic events which are occurred during hydraulic fracture stimulation at each stage. However, since the subsurface velocity is changed due to hydraulic fracturing at each stage, in order to find out the exact location of microseismic events, we have to consider the velocity change due to hydraulic fracturing at previous stage when we perform the mapping of microseimic events at the next stage. In this study, we have modified 3D locating algorithm of microseismic data which was developed by Kim et al. (2015) and have developed 3D velocity update algorithm using occurred microseismic data. Eikonal equation which can efficiently calculate traveltime for complex velocity model at anywhere without shadow zone is used as forward engine in our inversion. Computational cost is dramatically reduced by using Fresnel volume approach to construct Jacobian matrix in velocity inversion. Through the numerical test which simulates the geothermal survey geometry, we demonstrated that the initial velocity model was updated by using microseismic data. In addition, we confirmed that relocation results of microseismic events by using updated velocity model became closer to true locations.