• Title/Summary/Keyword: distortion equation

Search Result 107, Processing Time 0.024 seconds

Optimum Gain Distribution of the Ampilfiers in High Power YLF($Nd^{3+}$)-Phosphate Glass($Nd^{3+}$) Laser System

  • CHi, Kyeong-Koo
    • Proceedings of the Optical Society of Korea Conference
    • /
    • 1989.02a
    • /
    • pp.20-25
    • /
    • 1989
  • The nonlinear, time dependent photon transport equations of Frantz and Nodvik, which describe the amplification of an optical pulse in an active medium, are modified to a simpler equation which describes only the amplification of energy. with this equation, the output energy of the high power YLF(Nd3+)-Phosphate Glass(Nd3+) Laser System is calculated. When the stored energy density Est is 0.10J/㎤, 0.16J/㎤, 0.228J/㎤, and 0.50J/㎤, and with the assumption of uniform population inversion density, the final output energy of this laser system is 5.38J, 176J, 317J, and 283J, respectively. The gain saturation causes distortion of the output beam. This phenomenon is described in detail at the first three rod amplifier systems in the case of E=0.228J/㎤. The peak current and decay time constant of the flashlamps, which are used to obtain population inversion in the active medium, are investigated. The flashlamp driving circuit which has optimum operational performance should have {{{{ SQRT { LC} }} time about 100$\mu$sec.

  • PDF

Generating Motion- and Distortion-Free Local Field Map Using 3D Ultrashort TE MRI: Comparison with T2* Mapping

  • Jeong, Kyle;Thapa, Bijaya;Han, Bong-Soo;Kim, Daehong;Jeong, Eun-Kee
    • Investigative Magnetic Resonance Imaging
    • /
    • v.23 no.4
    • /
    • pp.328-340
    • /
    • 2019
  • Purpose: To generate phase images with free of motion-induced artifact and susceptibility-induced distortion using 3D radial ultrashort TE (UTE) MRI. Materials and Methods: The field map was theoretically derived by solving Laplace's equation with appropriate boundary conditions, and used to simulate the image distortion in conventional spin-warp MRI. Manufacturer's 3D radial imaging sequence was modified to acquire maximum number of radial spokes in a given time, by removing the spoiler gradient and sampling during both rampup and rampdown gradient. Spoke direction randomly jumps so that a readout gradient acts as a spoiling gradient for the previous spoke. The custom raw data was reconstructed using a homemade image reconstruction software, which is programmed using Python language. The method was applied to a phantom and in-vivo human brain and abdomen. The performance of UTE was compared with 3D GRE for phase mapping. Local phase mapping was compared with T2* mapping using UTE. Results: The phase map using UTE mimics true field-map, which was theoretically calculated, while that using 3D GRE revealed both motion-induced artifact and geometric distortion. Motion-free imaging is particularly crucial for application of phase mapping for abdomen MRI, which typically requires multiple breathold acquisitions. The air pockets, which are caught within the digestive pathway, induce spatially varying and large background field. T2* map, that was calculated using UTE data, suffers from non-uniform T2* value due to this background field, while does not appear in the local phase map of UTE data. Conclusion: Phase map generated using UTE mimicked the true field map even when non-zero susceptibility objects were present. Phase map generated by 3D GRE did not accurately mimic the true field map when non-zero susceptibility objects were present due to the significant field distortion as theoretically calculated. Nonetheless, UTE allows for phase maps to be free of susceptibility-induced distortion without the use of any post-processing protocols.

Analysis of Measured Azimuth Error on Sensitivity Calibration Routine (Sensitivity Calibration 루틴 수행시 Tilt에 의한 방위각 측정 오차의 분석)

  • Woo, Kwang-Joon;Kang, Su-Min
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.48 no.1
    • /
    • pp.1-8
    • /
    • 2011
  • The accuracy of MR sensor-based electronic compass is influenced by the temperature drift and DC offset of the MR sensor and the OP-amp, the magnetic distortion of nearby magnetic materials, and the compass tilt We design the 3-axis MR sensor and accelerometers-based electronic compass which is compensated by the set/reset pulse switching method on the temperature drift and DC offset, by the execution of hard-iron calibration routine on the magnetic distortion, and by the execution of the Euler rotational equation on the compass tilt. We qualitatively analyze the measured azimuth error on the execution of sensitivity calibration routine which is the normalization process on the different sensitivity of each MR sensor and the different gain of each op-amps. This compensation and analytic result make us design the one degree accuracy electronic compass.

Inconsistency in the Average Hydraulic Models Used in Nuclear Reactor Design and Safety Analysis

  • Park, Jee-Won;Roh, Gyu-Hong;Park, Hangbok
    • Proceedings of the Korean Nuclear Society Conference
    • /
    • 1997.10a
    • /
    • pp.599-604
    • /
    • 1997
  • One of important inconsistencies in the six-equation model predictions has been found to be the force experienced by a single bubble placed in a convergent stream of liquid. Various sets of governing equations yield different amount of forces to hold the bubble stationary in a convergent nozzle. By using the first order potential flow theory, it is found that the six-equation model can not be used to estimate the force experienced by a deformed bubble. The theoretical value of the particle stress of a bubble in a convergent nozzle flow has been found to be a function of the Weber number when bubble distortion is allowed. This force has been calculated by using different sets of governing equations and compared with the theoretical value. It is suggested in this study that the bubble size distribution function can be used to remove the presented inconsistency by relating the interfacial variables with different moments of the bubble size distribution function. This study also shows that the inconsistencies in the thermal-hydraulic governing equation can be removed by mechanistic modeling of the phasic interface.

  • PDF

Geometric Distortion Compensation of Projector Image based on Equation of Straight Line (직선의 방정식을 기반으로 한 프로젝터 영상의 기하왜곡 보정)

  • Jung, Jung-Il;Cho, Jin-Soo
    • Journal of Internet Computing and Services
    • /
    • v.11 no.5
    • /
    • pp.27-35
    • /
    • 2010
  • In this paper, we propose a method that can compensate the geometric distortions of image caused from an arbitrary nonflat display surface(or wall) under the environment of portable overhead projector without a flat screen. In the proposed method, we first project a grid pattern to an arbitrary nonflat display surface and then derive an equation of straight line that represents the geometry relationship between the distorted grid pattern and the original grid pattern. Next, after determining the proper size of the original grid pattern according to the form of the display surface, we generate a compensation pattern from the derived equation of straight line, which can symmetrically compensate for the distorted image. Finally, we compensate for the geometric distortions of the projected image by segmenting the real image to be projected from portable overhead projector and prewarping it according to the compensation pattern. To evaluate the proposed method, we performed experiments of image compensation on inclined surface, bent surface and curved surface that are frequently occurred in the environment of portable overhead projector without a flat screen. From the experimental results, we found that the proposed method could be very effective in compensating for the general types of the geometric distortions of the projected images.

Design and Performance Evaluation of IR-UWB Tapered Slot Antenna for Optimum Impulse Radio Radiation (임펄스 신호 방사를 위한 IR-UWB용 테이퍼 슬롯 안테나 설계 및 성능평가)

  • Kim, Jong-Min;Koh, Young-Mok;Ra, Keuk-Whan
    • The Journal of The Korea Institute of Intelligent Transport Systems
    • /
    • v.11 no.5
    • /
    • pp.103-115
    • /
    • 2012
  • In this paper, design and performance evaluation of Tapered Slot Antenna for IR-UWB which propagates impulse radio is performed. TSA which has directional characteristic in UWB band should have low radiation loss and minimized impulse radiation distortion. In order to achieve these objectives, the paper designed wide band Impedance transformer and microstrip-slotline transit region structured TSA feeder line. By using the fabricated TSA, the radiation pattern was measured in the radio anechoic chamber. Pulse fidelity and distortion equation was induced to evaluate time domain characteristics according to the impulse radiation. Pulse fidelity of Impulse radiation show favorable results more than 93% within ${\pm}30^{\circ}$ beam width.

Analysis of Linear Springing Responses of a Container Carrier by using Vlasov Beam Model (Vlasov 보 모델을 이용한 컨테이너 선박의 스프링잉 응답해석)

  • Kim, Yoo-Il;Kim, Yong-Hwan
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.47 no.3
    • /
    • pp.306-320
    • /
    • 2010
  • Modern ultra-large container carriers can be exposed to the unprecedented springing excitation from ocean waves due to their relatively low torsional rigidity. Large deck opening on the deck of container carriers tends to cause warping distortion of hull structure under wave-induced excitation, eventually leading to the higher chance of resonance vibration between its torsional response and incoming waves. To handle this problem, a higher-order B-spline Rankine panel method and Vlasov-beam FE model was directly coupled in the time domain, and the coupled equation was solved by using an implicit iterative method. In order to capture the complicated behavior of thin-walled open section girder, a sophisticated beam-based finite element model was developed, which takes into account warping distortion and shear-on-wall effect. Then, the developed beam model was directly coupled with the time-domain Rankine panel method for hydrodynamic problem by using the fixed-point iteration method. The developed computational scheme was validated through the comparison with the frequency-domain solution on the container carrier model in linear springing regime.

PAPR Reduction Method in Multi-Code CDMA System (다중 코드 CDMA 시스템에서 PAPR저감 기법)

  • 이강미;김상우;유흥균
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.15 no.7
    • /
    • pp.685-691
    • /
    • 2004
  • In this paper, we propose the hybrid methods of SLM(selected mapping) and predistortion, and PTS(partial transmit sequence) and predistortion to reduce PAPR(peak to average power ratio) and to decrease the nonlinear distortion of the nonlinear HPA(high power amplifier) in the multi-code CDMA(code division multiple access) system. The phase rotation factors are transmitted as side information in PTS and SLM methods play an important role in the BER performance. So, we present the theoretical BER equation when the errors of side information are considered in the multi-code CDMA communication system. Simulation results show that PAPR is reduced and nonlinear distortion is compensated by hybrid methods. Therefore BER performance is enhanced.

A Study on Three-dimensional Coordinates Analysis Using Mirror Images (거울영상을 이용한 3차원 좌표해석에 관한 연구)

  • 유복모;이현직;정영동;오창수
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
    • /
    • v.4 no.1
    • /
    • pp.25-36
    • /
    • 1986
  • Minimum three pairs of model are necessary to determine absolute coordinates of three-dimensional objects. This paper researches the method of analyzing three-dimensional coordinates of all sides of objects by photographing a pair of stereo model through the medium of mirror. An objective lies in improving the accuracy and the efficiency of mirror images method by introducing an error correction function for distortion of the mirror. Projected-onto-mirror points are transformed on the object plane through mirror plane equation. As the result, X-coordinates error is the largest and Y, Z-coordinates error represents about 1mm. Also, accuracy can be improved by introducing correction function for left and right mirror and correcting the distortion of mirror.

  • PDF

Determining the Location of Metallic Needle from MR Images Distorted by Susceptibility Difference (자화율 차이로 인해 왜곡된 영상으로부터 금속 바늘의 위치 결정)

  • Kim, Eun-Ju;Kim, Dae-Hong
    • Investigative Magnetic Resonance Imaging
    • /
    • v.14 no.2
    • /
    • pp.87-94
    • /
    • 2010
  • Purpose : To calculate the appearance of the image distortion from metallic artifacts and to determine the location of a metallic needle from a distorted MR image. Materials and Methods : To examine metal artifacts, an infinite metal cylinder in a strong magnetic field are assumed. The cylinder’s axis leaned toward the magnetic field along some arbitrary angle. The Laplace equation for this situation was solved to investigate the magnetic field distortion, and the simulation was performed to evaluation the image artifact caused by both readout and slice-selection gradient field. Using the result of the calculation, the exact locations of the metal cylinder were calculated from acquired images. Results : The distances between the center and the folded point are measured from images and calculated. Percentage errors between the measured and calculated distance were less than 5%, except for one case. Conclusion : The simulation was successfully performed when the metal cylinder was skewed at an arbitrary tilted angle relative to the main magnetic field. This method will make it possible to monitor and guide both biopsy and surgery with real time MRI.