• 제목/요약/키워드: Local domain-inversion

검색결과 10건 처리시간 0.021초

시간영역 유도분극 자료로부터 Cole-Cole 변수 산출 (Extraction of Cole-Cole Parameters from Time-domain Induced Polarization Data)

  • 김연정;조인기
    • 지구물리와물리탐사
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    • 제24권4호
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    • pp.164-170
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    • 2021
  • 주파수 및 시간영역 유도분극 탐사는 지하 매질의 분광 정보를 포함하고 있다. 분광 특성의 분석은 주로 주파수영역 유도분극 탐사에서 연구되어 왔으나, 근래에 시간영역 유도분극에서도 연구가 활발하게 이루어지고 있다. 이 연구에서는 반무한 균질 공간을 가정하고 측정된 2차 전위 및 전기비저항으로부터 Cole-Cole 변수를 추정하는 역산법을 개발하였다. 충전성, 완화시간 및 주파수 승수로 구성되는 Cole-Cole 변수들은 비독립적이기 때문에 통상적인 비선형 역산을 적용할 경우 느린 수렴속도, 적정 초기 모델 설정의 어려움, 지역 극소점, 발산 위험 등의 다양한 문제점이 발생한다. 이 연구에서는 격자 탐색법을 도입하여 참 모델에 근접한 초기 모델을 설정하는 효과적인 역산법을 개발하였다. 마지막으로 다양한 역산 실험을 통하여 개발된 역산법의 타당성을 검증하였다.

PROBLEMS IN INVERSE SCATTERING-ILLPOSEDNESS, RESOLUTION, LOCAL MINIMA, AND UNIQUENESSE

  • Ra, Jung-Woong
    • 대한수학회논문집
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    • 제16권3호
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    • pp.445-458
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    • 2001
  • The shape and the distribution of material construction of the scatterer may be obtained from its scattered fields by the iterative inversion in the spectral domain. The illposedness, the resolution, and the uniqueness of the inversion are the key problems in the inversion and inter-related. The illposedness is shown to be caused by the evanescent modes which carries and amplifies exponentially the measurement errors in the back-propagation of the measured scattered fields. By filtering out all the evanescent modes in the cost functional defined as the squared difference between the measured and the calculated spatial spectrum of the scattered fields from the iteratively chosen medium parameters of the scatterer, one may regularize the illposedness of the inversion in the expense of the resolution. There exist many local minima of the cost functional for the inversion of the large and the high-contrast scatterer and the hybrid algorithm combining the genetic algorithm and the Levenberg-Marquardt algorithm is shown to find efficiently its global minimum. The resolution of reconstruction obtained by keeping all the propating modes and filtering out the evanescent modes for the regularization becomes 0.5 wavelength. The super resolution may be obtained by keeping the evanescent modes when the measurement error and instance, respectively, are small and near.

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Thermomechanical interactions in a non local thermoelastic model with two temperature and memory dependent derivatives

  • Lata, Parveen;Singh, Sukhveer
    • Coupled systems mechanics
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    • 제9권5호
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    • pp.397-410
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    • 2020
  • The present investigation is concerned with two-dimensional deformation in a homogeneous isotropic non local thermoelastic solid with two temperatures due to thermomechanical sources. The theory of memory dependent derivatives has been used for the study. The bounding surface is subjected to concentrated and distributed sources (mechanical and thermal sources). The Laplace and Fourier transforms have been used for obtaining the solution to the problem in the transformed domain. The analytical expressions for displacement components, stress components and conductive temperature are obtained in the transformed domain. For obtaining the results in the physical domain, numerical inversion technique has been applied. Numerical simulated results have been depicted graphically for explaining the effects of nonlocal parameter on the components of displacements, stresses and conductive temperature. Some special cases have also been deduced from the present study. The results obtained in the investigation should be useful for new material designers, researchers and physicists working in the field of nonlocal material sciences.

Time harmonic interactions in non local thermoelastic solid with two temperatures

  • Lata, Parveen;Singh, Sukhveer
    • Structural Engineering and Mechanics
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    • 제74권3호
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    • pp.341-350
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    • 2020
  • The present investigation is concerned with two dimensional deformation in a non local thermoelastic solid with two temperatures due to time harmonic sources. The nonlocal thermoelastic solid is homogeneous with the effect of two temperature parameters. Fourier transforms are used to solve the problem. The bounding surface is subjected to concentrated and distributed sources. The analytical expressions of displacement, stress components and conductive temperature are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerical simulated results are depicted graphically to show the effect of nonlocal parameter and frequency on the components of displacements, stresses and conductive temperature. Some special cases are also deduced from the present investigation.

LiINbO3 기판의 분극반전을 이용한 5.5 GHz 대역 SSB 광변조기의 설계 및 제작 (Design and Fabrication of 5.5GHZ SSB optical modulator with polarization reversed structure)

  • 정우진;김우경;양우석;이형만;이한영;권순우
    • 한국광학회지
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    • 제17권2호
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    • pp.175-180
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    • 2006
  • 리튬나이오베이트 기판의 분극 반전 기술을 이용하여 5.5 GHz대역의 SSB(Single Sideband) 광변조기를 설계 및 제작하였다. 분극 반전을 통해 광이 인가받는 유효전계가 마흐젠더 두 도파로에서 $90^{\circ}$ 위상차를 갖도록 할 수 있었다. 제작된 광변조기는 5.8 GHz의 중심주파수로, 1.9 V DC 인가 시 약 33 dB의 USB 억제율을, -10.6 V 인가 시 약 25 dB의 LSB 억제율을 나타내었다. 또한 2.5 GHz의 대역폭에서 15 dB 이하의 Sideband 억제율을 보이고 있다.

각 스펙트럼 영역에서 개선된 Newton 알고리듬을 이용한 완전도체의 역산란 방법 (Microwave Imaging of a Perfectly Conducting Cylinder by Using Modified Newton's Algorithm in the Angular Spectral Domain)

  • 박선규;박정석;라정웅
    • 전자공학회논문지A
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    • 제31A권6호
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    • pp.34-44
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    • 1994
  • In this paper, an iterative inversion method in angular spectral domain is presented for microwave imaging of a perfectly conducting cylinder. Angular spectra are calculated from measured far-field scattered fields. And then both the propagating modes and the evanescent modes are defined. The center and initial shape of an unknown conductor may be obtained by the characteristics of angular spectra and the total scattering cross section (TSCS). Finally, the orignal shape is reconstructed by the modified Newton algorithm. By using well estimated initial shape the local minima can be avoided, which might appear when the nonlinear equation is solved with Newton algorithm. It is shown to be robust to noise in scattered fields via numerical examples by keeping only the propagating modes and filtering out the evanescent modes.

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수평원관내 얼음의 접촉융해과정 (Close-contact melting of ice in a horizontal cylinder)

  • 서정세;노승탁
    • 대한기계학회논문집
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    • 제19권10호
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    • pp.2595-2606
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    • 1995
  • Buoyancy-assisted melting of an unconstrained ice in an isothermally heated horizontal enclosure was numerically analyzed in a range of wall temperatures encompassing the density inversion point. The problem as posed here involves two physically distinct domains each of which has its own scales and respective heat transfer mode. These two domains join at the junction where the liquid squeezed out of the film region flushes into the lower melt pool. Both of these domains have been treated separately in the literature by a patching technique which invokes several, otherwise unnecessary, assumptions. The present study eliminates successfully such a superfluous procedure by treating the film and lower melt pool regions as a single domain. As a result of this efficient solution procedure, the interaction of the water stream ejected at the junction and the natural convection in the melt pool could be clarified for different wall temperatures. Though limited by two-dimensionality, the present results conformed indirectly the earlier reported transition of the flow pattern, as the wall temperature was increased over the density inversion point. The transient evolution of the melting surface, the time rate of change in melt volume fraction, the local and temporal variation of the heat transfer coefficients are analyzed and presented.

심도영역 속도모델 구축을 위한 구조보정 속도분석(MVA) 기술의 탄성파 현장자료 적용성 연구 (A Study on Field Seismic Data Processing using Migration Velocity Analysis (MVA) for Depth-domain Velocity Model Building)

  • 손우현;김병엽
    • 지구물리와물리탐사
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    • 제22권4호
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    • pp.225-238
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    • 2019
  • 최적의 심도 영역 속도를 도출하기 위한 구조보정 속도분석(MVA, migration velocity analysis) 기법을 해양에서 취득한 원거리 다중채널 탄성파 자료에 적용하여 그 효용성을 확인한다. 지금까지 통상적으로 수행된 시간 영역 자료처리 결과는 지질학적 층서해석에는 무리 없는 결과이나, 어느 정도 가능성이 있는 플레이나 리드 지역에서의 유가스 탐사에서는 저류층 지질모델 구축, 시추 설계, 매장량 계산에서 반드시 심도 영역 속도 구조와 영상이 필요하다. 데이터 영역에서 근사 방식을 사용한 공통 중간점 기반 속도 분석으로부터 도출한 속도는 처음부터 오차를 내재하여 불확실성이 높다. 반면에, 이를 보완해 줄 검층 자료가 없는 상황에서 실측 규모의 속도 구조를 도출하는데 있어 이미지 영역 구조보정 속도분석 기법은 상당히 효율적인 방법이다. 이 연구에서는 해양에서 취득한 다중 채널 탄성파자료에 대해 합리적인 결과를 도출하기 위해 시간 영역에서 신호의 품질을 최적화하고, 이 자료에 대하여 반복적으로 MVA 기법을 적용함으로써 심도영역 속도 및 구조보정 단면도를 도출하였다. 시간 영역 속도를 단순히 Dix 방정식에 의해 심도영역으로 변환한 속도를 이용하여 생성한 결과(공통 수신점 모음도 및 중합 단면도)와 MVA 기법을 이용한 심도영역 자료처리를 통해 도출된 속도를 이용하여 생성한 결과를 비교함으로써, 심도영역 결과가 보다 합리적임을 확인하였다. 심도 영역으로 도출된 속도는 중합전 심도 구조보정에 바로 사용될 수 있을 뿐만 아니라, 현장 자료의 파형역산 적용 시 초기 모델로 활용함으로써 역산 수행 과정에서 발생할 수 있는 국부 최소(local minima) 문제를 최소화할 수 있다.

A novel model of a rotating nonlocal micropolar thermoelastic medium with temperature-dependent properties

  • Samia M. Said;Elsayed M. Abd-Elaziz;Mohamed I.A. Othman
    • Structural Engineering and Mechanics
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    • 제90권4호
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    • pp.429-434
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    • 2024
  • In the current work, the effect of rotation and mechanical force on a nonlocal micropolar thermoelastic solid with temperature-dependent properties was discussed using Erigen's nonlocal thermoelasticity theory. The problem is resolved using Laplace transforms and Fourier series. For the nonlocal and local parameters, the physical fields have been illustrated. The numerical inversion approach is used to acquire the resulting fields in the physical domain. Based on numerical analysis, the effects of rotation, the modulus of elasticity's dependency on temperature, and nonlocal, mechanical force are examined on the physical fields.

Growth and characterization of periodically polarity-inverted ZnO structures grown on Cr-compound buffer layers

  • Park, J.S.;Goto, T.;Hong, S.K.;Chang, J.H.;Yoon, E.;Yao, T.
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2010년도 제39회 하계학술대회 초록집
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    • pp.259-259
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    • 2010
  • Periodically polarity inverted (PPI) ZnO structures on (0001) Al2O3 substrates are demonstrated by plasmas assisted molecular beam epitaxy. The patterning and re-growth methods are used to realize the PPI ZnO by employing the polarity controlling method. For the in-situ polarity controlling of ZnO films, Cr-compound buffer layers are used.[1, 2] The region with the CrN intermediate layer and the region with the Cr2O3 and Al2O3 substrate were used to grow the Zn- and O-polar ZnO films, respectively. The growth behaviors with anisotropic properties of PPI ZnO heterostructures are investigated. The periodical polarity inversion is evaluated by contrast images of piezo-response microscopy. Structural and optical interface properties of PPI ZnO are investigated by the transmission electron microcopy (TEM) and micro photoluminescence ($\mu$-PL). The inversion domain boundaries (IDBs) between the Zn and the O-polar ZnO regions were clearly observed by TEM. Moreover, the investigation of spatially resolved local photoluminescence characteristics of PPI ZnO revealed stronger excitonic emission at the interfacial region with the IDBs compared to the Zn-polar or the O-polar ZnO region. The possible mechanisms will be discussed with the consideration of the atomic configuration, carrier life time, and geometrical effects. The successful realization of PPI structures with nanometer scale period indicates the possibility for the application to the photonic band-gap structures or waveguide fabrication. The details of application and results will be discussed.

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