• Title/Summary/Keyword: 원통 좌표계

Search Result 54, Processing Time 0.025 seconds

Rotational Prism Stitching Interferometer for High-resolution Surface Testing (고해상도 표면 측정을 위한 회전 프리즘 정합 간섭계)

  • In-Ung Song;Woo-Sung Kwon;Hagyong Khim;Yun-Woo Lee;Jong Ung Lee;Ho-Soon Yang
    • Korean Journal of Optics and Photonics
    • /
    • v.34 no.3
    • /
    • pp.117-123
    • /
    • 2023
  • The size of an optical surface can significantly affect the performance of an optical system, and high spatial frequency errors have a greater impact. Therefore, it is crucial to measure the surface figure error with high frequency. To address this, a new method called rotational prism stitching interferometer (RPSI) is proposed in this study. The RPSI is a type of stitching interferometer that enhances spatial resolution, but it differs from conventional stitching interferometers in that it does not require the movement of either the mirror tested or the interferometer itself to obtain sub-aperture interferograms. Instead, the RPSI uses a beam expander and a rotating Dove prism to select particular sub-apertures from the entire aperture. These sub-apertures are then stitched together to obtain a full-aperture result proportional to the square of the beam expander's magnification. The RPSI's effectiveness was demonstrated by measuring a 40 mm diameter spherical mirror using a three-magnification beam expander and comparing the results with those obtained from a commercial interferometer. The RPSI achieved surface testing results with nine times higher sampling density than the interferometer alone, with a small difference of approximately 1 nm RMS.

Design and Construction of Cylindrical Multi-Loop Z-gradient Coil for Linearity Improvement in MRI (핵자기공명영상에서 선형성의 증강을 위한 원통형 Multi-Loop Z-경사자기장 코일의 설계와 제작)

  • 이동훈;백승태;김송희
    • Journal of Biomedical Engineering Research
    • /
    • v.21 no.6
    • /
    • pp.583-589
    • /
    • 2000
  • 본 논문에서는 핵자기공명영상의 고해상도를 이루고, 영상의 신뢰성을 높이기 위해서 선형성이 증가된 경사자기장 코일의 설계와 제작에 목적을 두었다. Maxwell pair를 이용하여 Z-경사자계의 선형성을 증강시키기 위해 코일의 기하학적인 형태의 이론적인 계산과 몇 가지 형태의 코일로부터 예상되는 자기장 및 경사자기장의 분포를 구현했다. 즉, 코일 축 방향의 자기장을 구면좌표계에서 전개하는 방법으로 Maxwell pair의 크기와 위치를 계산하고, 유한요소법을 이용하여 자기장 및 경사자기장의 2차원 분포를 그렸다. 더불어 이론적인 계산 결과와 함께 자기장의 2차원 분포를 토대로 실제 경사자기장 코일을 제작하였고 이를 0.15 Τ 핵자기공명영상기에 적용하여, 영상을 획득하였다. 기존의 방법에 따른 Maxwell pair 형태를 이용한 경우에 코일지름의 40% DSV(diameter spherical volume)내에서 DSV의 5% 이내의 뒤틀림(distortion)을 갖는 선형성이 유지되었고, 새롭게 시도된 방법에 의한 경사자기장 코일의 경우는 코일지름의 70% DSV 내에서 DSV의 5% 이내의 뒤틀림을 갖는 선형성을 유지하였으며, 설계 제작된 경사자기장 코일과 RF-코일을 이용하여 이를 확인하였다. 본 연구에서 제작된 경사자기장 코일의 선형성은 Maxwell pair 코일보다 향상된 결과를 보았으며, 본 논문에서 제시하는 방법은 자기공명영상의 해상도 향상에 기여할 것으로 판단된다.

  • PDF

Analysis of Annular Corrugated Horn using FDTD (환상 골진 혼 안테나의 FDTD에 의한 해석)

  • 김도현;손병문;구연건
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.12 no.7
    • /
    • pp.1067-1075
    • /
    • 2001
  • The fields at the aperture of conical horn antenna with corrugations parallel to the axis have been analyzed using FDTD(Finite Difference Time Domain). Easy calculation depending on the change of the structure of antenna and time reduction can be achieved by 2-D FDTD coding with the first-order Mur ABC(absorbing boundary condition). It is confirmed that the corrugation can reduce phase difference of field on aperture. also it is investigated that the directivity is increased by 6.1 %, 12.9%, and 28.4% with one corrugation, two corrugations, three corrugations, respectively. It is also found that the improvement of the characteristics of the antenna is not proportional to the number of the corrugation but more dependent on the location of the corrugation near the aperture than that far the aperture.

  • PDF

Comparison with SAR Patterns of Biological Objects Contacted with Coaxial Waveguide Antenna Using MUR and GPML ABCs in the FDTD Method (유한차분법에서 MUR과 GPML 흡수경계조건을 이용한 동축 도파관 안테나에 접촉된 생체의 SAR 패턴 비교)

  • 구성모;권광희;이창원;원철호;조진호
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.9 no.2
    • /
    • pp.149-158
    • /
    • 1998
  • The SAR patterns of biological objects contacted with coaxial waveguide antennal has been investigated, in which the biological object was modeled by a homogeneous and four-layered lossy human body. We derived the finite-difference time-domain(FDTD) algorithm and equation of MUR and generalized perfectly matched layer(GPML) ABCs in cylindrical coordination. The coupling between coaxial waveguide antenna and a biological object was analyzed by use of MUR and GPML ABCs in the FDTD method to obtain the absorbed power patterns in the media. The specific absorption rates (SAR) distribution which was corresponding to the temperature distribution was calculated in each region by use of the steady-state response in the FDTD method. The SAR patterns of the FDTD method using MUR absorbing boundary conditions(ABCs) was compared with those of the FDTD method using GPML ABCs. The comparison exhibits that the penetration depth of the SAR patterns using MUR ABCs is deeper than that of the SAR patterns using GPML ABCs because of loss in free space. However, the spread in the lateral directions of the SAR patterns using GPML ABCs is smaller than of the SAR patterns using MUR ABCs.

  • PDF

A New Method to Calculate Pseudoskin Factor of a Partially-Penetrating Well (부분관통정의 유사표피인자 계산을 위한 새로운 방법)

  • Lee, Kun-Sang
    • Journal of the Korean Society of Groundwater Environment
    • /
    • v.6 no.1
    • /
    • pp.42-47
    • /
    • 1999
  • This study considers pseudosteady-state flow to a restricted-entry well in a single or multilayer aquifer with crossflow. A simple method for calculating the pseudoskin factor caused by partial penetration is presented to overcome a limited applicability in geometrical or computational aspects of previous methods. The computation is based on the solution of a simplified pseudosteady-state equation that describes the long-time behavior of the closed radial system. We illustrate the applicability of this method to various types of cylindrical systems and provide the results graphically. Comparisons with previously published results have indicated that this method yields highly accurate estimates of pseu-doskin factor with minimum computational effort. This method has also shown to be particularly useful for geometrically-complicated systems. Greatly improved computational efficiency of pseudosteady-state approach permits the engineer to easily account for the effect of partial penetration on the late-time performance of a well.

  • PDF

The Effects of Fuel Pellet Eccentricity on Fuel Rod Thermal Performance (핵연료의 편심이 연료봉 열적 성능에 미치는 영향)

  • Suh Young-Keun;Sohn Dong-Seong
    • Nuclear Engineering and Technology
    • /
    • v.20 no.3
    • /
    • pp.189-196
    • /
    • 1988
  • This study investigates the effect of fuel pellet eccentricity on fuel rod thermal performance under the steady state condition. The governing equations in the fuel pellet and the cladding region are set up in 2-dimensional cylindrical coordinate (r, $\theta$) and are solved by finite element method. The angular-dependent heat transfer coefficient in the gap region is used in order to account for the asymmetry of gap width. Material propeties are used as a function of temperature and volumetric heat generation as a function of radial position. The results show the increase of maximum local heat flux at the cladding outer surface and the decrease of maximum and average fuel temperatures due to eccentricity. The former is expected to affect the uncertainties in the minimum DNBR calculation. The latter two are expected to reduce the possibility of fuel melting and the fuel stored energy. Also, the fuel pellet eccentricity introduces asymmetry in fuel pellet temperature and movement of the location of maximum fuel pellet temperature.

  • PDF

Linear Stability Analysis of a Baffled Rocket Combustor (배플이 장착된 로켓 연소기의 선형 안정성 해석)

  • Lee, Soo Yong
    • Journal of the Korean Society of Propulsion Engineers
    • /
    • v.22 no.3
    • /
    • pp.46-52
    • /
    • 2018
  • A simple Crocco's $n-{\tau}$ time delay model and linear analysis of fluid flow coupled with acoustics are combined to investigate the high frequency combustion instability in the combustion chamber of LOX/hydrocarbon engines. The partial differential equation of the velocity potential is separated into ordinary differential equations, and eigenvalues that correspond to tangential resonance modes in the cylindrical chamber are determined. A general solution is obtained by solving the differential equation in the axial direction, and boundary conditions at the injector face and nozzle entrance are applied in order to calculate the chamber admittance. Frequency analysis of the transfer function is used to evaluate the stability of system. Stability margin is determined from the system gain and phase angle for the desired frequency range of 1T mode. The chamber model with variable baffle length and configurations are also considered in order to enhance the 1T mode stability of the combustion chamber.

입구유속의 진폭이 층류유동에서 사각실린더 주위의 와류쉐딩과 공진현상에 미치는 영향에 관한 수치해석적 연구

  • 정영종;심석구;강신형
    • Proceedings of the Korean Nuclear Society Conference
    • /
    • 1998.05a
    • /
    • pp.603-608
    • /
    • 1998
  • 유체내의 물체 주위에서 유동박리로 인해 생성되는 와류쉐딩은 열전달이나 물질전달을 촉진시키는 이점이 있으나, 항력을 증가시키거나 유동 및 온도의 요동에 의해 구조물을 손상시키는 단점이 있다. 특히 물체와 주위 유동 사이에 공진이 일어나면 항력값이 증가하면서 항력과 양력의 진폭이 급격히 증가하여 물체에 심각한 손상을 초래할 수 있다. 본 연구에서는 레이놀즈수 200 이하의 층류유동에서 공진시 물체 주위의 유동현상과 이로 인한 양력과 항력의 변화들을 수치해석방법을 통하여 분석하였다 수치해석은 일반좌표계에서 유한체적법을 적용하여 Navier-Stokes 방정식을 차분화하였다. 이때 방정식의 종속변수로는 공변속도를 채택하였으며, 이산화된 방정식은 분리단계법을 이용하여 수치해를 구하였다. 입구유속의 강제진동에 의한 사각실린더 주위의 와류쉐딩시 공진이 발생하는 강제진동수의 범위는 원통실린더의 경우와 유사하였으나 상대적으로 폭이 더 좁았다 그리고 공진이 발생하는 강제진동수의 범위는 진폭이 증가할수록 증가하였다. 쉐딩 진동수가 일정하면서 입구유속의 진폭이 증가하면 이에 비례하여 실린더 주위의 유속이 상대적으로 증가하게 되어 와도가 강해지면서 입추유속 진폭에 비례하여 항력의 평균값 뿐 아니라 항력과 양력의 진폭도 증가하였다. 그리고 실린더 뒷면의 와류 생성영역은 진폭에 비례하여 감소하였다. 진폭의 변화에 따라 상변화가 서로 상이한 것은 실린더 뒤쪽의 와류들이 상하면의 합력차이를 변화시켰고 이것이 진폭변화에 따라 상변화를 상이하게 나타나게 한 원인으로 진폭이 클수록 실린더 뒤쪽에서 압력변화가 심하게 변하면서 실린더 앞쪽까지 더 많은 영향을 미쳤기 때문이다.선원의 사용자에게 제공되는 최종방사능을 평가하는데 유용하게 사용될 수 있다.r의 분포를 보였다.cting the effect of earthquake on structures. This paper is based on the presented paper at the Bertero Symposium held in January 31an4 February 1 at Berkeley, California, USA which was entitled "Needs to Evaluate Real Seismic Performance of Buildings-Lessons from 1995 Hyogoken-Nambu Earthquake-". The lessons for buildings from the damage due to the Hyogoken-Nambu Earthquake are necessity to develop more rational seismic design codes based upon a performance-based design concept, and to evaluate seismic performance of existing buildings. In my keynote lecture at the Korean Association for Computational Structural Engineering, the history of seismic design and use of structural analysis in Japan, the lessons for buildings from the Hyogoken-Nambu Earthquake, the

  • PDF

A study on the analysis of domestic gas explosion (실내가스폭발 해석에 관한 연구)

  • Kim Sang Sub;Cha Jae Ou
    • Journal of the Korean Institute of Gas
    • /
    • v.7 no.4 s.21
    • /
    • pp.24-29
    • /
    • 2003
  • Numerical analysis was conducted to predict the damage of indoor gas explosion for the propagation of explosion flame. Indoor gas diffusion distribution due to gas leakage was obtained by diffusion equation that adopted initial conditions from reference. Enthalpy of each gas-mixture ratio and reduced mechanism was applied to calculate flame temperature, and laminar combustion velocities with the variant of each gas concentration from reference were applied to the gas mixture. Turbulent combustion velocity was modeled by coupling of turbulent energy and laminar combustion velocity in k-$\epsilon$ model. For the analysis of flame propagation cartesian and cylindrical coordinate were used to indoor position and flame propagation respectively. The study analyzes the cause of pressure rising with the variation of flame propagation by glass damage, and the result shows that indoor pressure rising with ignition position varies window dimension.

  • PDF

Collaborative Authoring System using 3D Spatio-Temporal Space (삼차원 시.공간을 이용하는 프레젠테이션 공동저작 시스템)

  • 이도형;성미영
    • Journal of KIISE:Computing Practices and Letters
    • /
    • v.9 no.6
    • /
    • pp.623-634
    • /
    • 2003
  • In this paper, we propose a collaborative multimedia authoring system. Our authoring system represents a multimedia presentation in a 3D coordinate system. One axis represents the traditional timeline information (T-zone), and the other two axes represent spatial coordinates (XY-zone). Our system represents a visual media objects as a 3D parallelepipeds and audio media objects as cylinders. This interface allows for simultaneous authoring and manipulation of both the temporal and the spatial aspects of a presentation. Using our system, users can design multimedia presentations collaboratively in the unified spatio-temporal space while freely traversing the spatial domain and the temporal domain without changing the context of authoring. In addition, we suggest an efficient mechanism of concurrency control for shared objects generated by our collaborative writing system. The mechanism is mainly based on the user awareness, the multiple versions, and the access permission of shared objects. Our concurrency control mechanism is designed to keep data consistency by minimizing the collision due to the delay or the failure of network communication and to allow maximum responsiveness for users using optimistic concurrency control. Also, the mechanism maximize the responsiveness by refining the locking granularity and applying different concurrency control mechanisms to each.