• Title/Summary/Keyword: phase shifts

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The Analytical Transfer Matrix Method Combined with Supersymmetry: Coulomb Potential

  • Sun, Ho-Sung
    • Bulletin of the Korean Chemical Society
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    • v.28 no.3
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    • pp.408-412
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    • 2007
  • Combining the analytical transfer matrix method with supersymmetry algebra, a new quantization condition is suggested. To demonstrate the efficiency of the new quantization condition, the eigenenergies of the Coulomb potential are analytically derived. The scattering-led phase shifts are also determined and they are the same for all Coulomb potential states. It is found that the new quantization condition is mathematically simple and exact.

COMPLETELY INTEGRABLE COUPLED POTENTIAL KDV EQUATIONS

  • Wazwaz, Abdul-Majid
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.847-858
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    • 2011
  • We make use of the simplified Hirota's bilinear method with computer symbolic computation to study a variety of coupled potential KdV (pKdV) equations. Each coupled equation is completely integrable and gives multiple soliton solutions and multiple singular soliton solutions. The phase shifts for all coupled pKdV equations are identical whereas the coefficients of the obtained solitons are not identical. The four coupled pKdV equations are resonance free.

ELASTIC WAVE RESONANCE SCATTERING FROM AN ELASTIC CYLINDER (탄성체로 인한 탄성파의 공명산란)

  • 이희남
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.833-838
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    • 2003
  • The problem of elastic wave resonance scattering from elastic targets is studied in this paper. A new resonance formalism to extract the elastic resonance information of the target from scattered elastic waves is introduced. The proposed resonance formalism is an extension of the works developed for acoustic wave scattering problems by the author. The classical resonance scattering theory computes reasonable magnitude information of the resonances in each partial wave, but the phase behaves in somewhat irregular way, therefore, is not clearly explainable. The proposed method is developed to obtain physically meaningful magnitude and phase of the resonances. As an example problem, elastic wave scattering from an infinitely-long elastic cylinder was analyzed by the proposed method and compared to the results by RST. In case of no mode conversion, both methods generate identical magnitude. However, the new method computes exact $\pi$ radian phase shills through resonances and anti-resonances while RST produces physically unexplainable phases. In case of mode conversion, in addition to the phase even magnitudes are different. The phase shifts through resonances and antiresonances obtained by the proposed method are not exactly $\pi$ radians due to energy leak by mode conversion. But, the phases by the proposed method show reasonable and intuitively correct behavior compared to those by RST.

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Variation of the Curie Temperature in $BaTiO_3$ Doping $Cd_5(PO_4)_3Cl$ ($BaTiO_3$에서 $Cd_5(PO_4)_3Cl$의 첨가로 인한 Curie 온도변화)

  • Kim, Gwang-Chul
    • Journal of the Semiconductor & Display Technology
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    • v.10 no.1
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    • pp.95-99
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    • 2011
  • $(1-x)BaTiO_3+(x)Cd_5(PO_4)_3Cl$ ceramics were prepared by the conventional ceramic technique, i.e., solid state reaction at high temperature. The concentration of $Cd_5(PO_4)_3C$ was varied from 0.01 to 0.15 mole fraction. In order to study the phase transitions of our ceramics, the Raman scattering spectra were measured as functions of concentration x and temperature. It was found that the soluble limit of $Cd_5(PO_4)_3Cl$ in $BaTiO_3$ was the x=0.05 composition and $BaTiO_3$ phase disappeared above x=0.10. A new phase identified as $Ba_4Ti_3P_2O_{15}$ was detected in all samples of our compositions. The Curie temperature shifts up to $130^{\circ}C$ as the concentration x increases from zero to 0.05 and shift down to $95^{\circ}C$ as further increases to 0.08. For the increase of the Curie temperature, it is suggested that it can result from the inhibition of displacement of $Ti^{4+}$ in the distorted octahedron due to well dispersed $Ba_4Ti_3P_2O_{15}$ and $Cd_5(PO_4)_3Cl$ phase.

Fluctuations of Pelagic Fish Populations in Relation to the Climate Shifts in the Far-East Regions

  • Gong, Yeong;Jeong, Hee-Dong;Suh, Young-Sang;Park, Jong-Hwa;Seong, Ki-Tack;Kim, Sang-Woo;Choi, Kwang-Ho;Han, In-Seong
    • Journal of Ecology and Environment
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    • v.30 no.1
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    • pp.23-38
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    • 2007
  • Based on a time series of ocean climate indices and catch records for seven pelagic fish species in the Tsushima Warm Current (TWC) and Kuroshio-Oyashio Current (KOC) regions from 1910 to 2004, we detected regional synchrony in the long-term fluctuations of the fish populations and identified alternation patterns of dominant species related to climate shifts. The annual catches of Pacific herring, Japanese sardines, Japanese anchovies, jack mackerel, chub mackerel, Pacific saury and common squid in the TWC region fluctuated in phase with those in the KOC region, which suggests that they were controlled by the same basin-wide climate forcing. After the collapse of the herring fishery, the alternation sequence was: sardines (1930s), Pacific saury, jack mackerel, common squid and anchovies ($1950s{\sim}1960s$), herring ($late\;1960s{\sim}early\;1970s$), chub mackerel (1970s) and then sardines (1980s). As sardine biomass decreased in the late stages of the cool regime, catch of the other four species increased immediately during the warm period of the 1990s. Regional differences in the amplitude of long-term catch fluctuations for the seven pelagic fishes could be explained by regional differences in availability, fishing techniques and activity.

Improving Sensitivity of SAW-based Pressure Sensor with Metal Ground Shielding over Cavity

  • Lee, Kee-Keun;Hwang, Jeang-Su;Wang, Wen;Kim, Geun-Young;Yang, Sang-Sik
    • Journal of the Microelectronics and Packaging Society
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    • v.12 no.3 s.36
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    • pp.267-274
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    • 2005
  • This paper presents the fabrication of surface acoustic wave (SAW)-based pressure sensor for long-term stable mechanical compression force measurement. SAW pressure sensor has many attractive features for practical pressure measurement: no battery requirement, wireless pressure detection especially at hazardous environments, and easy other functionality integrations such as temperature, humidity, and RFID. A $41^{\circ}$ YX $LiNbO_3$ piezoelectric substrate was used because of its high SAW propagation velocity and large values of electromechanical coupling factors $K^2$. A silicon substrate with $\~200{\mu}m$ deep cavity was bonded to the diaphragm with epoxy, in which gold was covered all over the inner cavity in order to confine electromagnetic energy inside the sensor, and provide good isolation of the device from its environment. The reflection coefficient $S_{11}$ was measured using network analyzer. High S/N ratio, sharp reflected peaks, and clear separation between the peaks were observed. As a mechanical compression force was applied to the diaphragm from top with extremely sharp object, the diaphragm was bended, resulting in the phase shifts of the reflected peaks. The phase shifts were modulated depending on the amount of applied mechanical compression force. The measured $S_{11}$ results showed a good agreement with simulated results obtained from equivalent admittance circuit modeling.

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Defect evaluations of weld zone in rails considering phase space-frequency demain (위상공간-주파수 영역을 고려한 레일 용접부의 결함 평가)

  • 윤인식;권성태;장영권;정우현;이찬석
    • Journal of the Korean Society for Railway
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    • v.2 no.2
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    • pp.21-30
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    • 1999
  • This study proposes the analysis and evaluation method of time series ultrasonic signal using the phase space-frequency domain. Features extracted from time series signal analyze quantitatively characteristics of weld defects. For this purpose, analysis objectives in this study are features of time domain and frequency domain. Trajectory changes in the attractor indicated a substantial difference in fractal characteristics resulting from distance shifts such as parts of head and flange even though the types of defects are identified. These differences in characteristics of weld defects enables the evaluation of unique characteristics of defects in the weld zone. In quantitative fractal feature extraction, feature values of 3.848 in the case of part of head(crack) and 4.102 in the case of part of web(side hole) and 3.711 in the case of part of flange(crack) were proposed on the basis of fractal dimension. Proposed phase space-frequency domain method in this study can integrity evaluation for defect signals of rail weld zone such as side hole and crack.

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Application of Phase-shifting Method using fourier Transform to Measurement of In-plane Displacement by Speckle Interferometry

  • Kim, Myung-Soo;Baek, Tae-Hyun;Morimoto, Yoshiharu;Fujigaki, Motoharu
    • Journal of the Korean Society for Nondestructive Testing
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    • v.25 no.3
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    • pp.171-177
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    • 2005
  • Phase-shifting method using Fourier transform (PSM/FT) has been applied to measurement of in-plane displacement of a specimen. Thirty-two interference fringe patterns each of which has different phase of ${\pi}/16$ radian have been gathered from a specimen with in-plane displacement. Low-pass filtering by 2-D Fourier transform is used to suppress spatial noise of the fringe patterns. ${\alpha}-directional$ Fourier transform for PSM/FT is performed by use of the low-pass filtered 32 fringe patterns. Two kinds of specimens are used for experiment. One is a rectangular steel plate and the other one is a rectangular steel plate containing a circular hole at the center. In-plane displacement of each specimen is measured by PSM/FT, and calculated by finite element method (ANSYS) for comparison. The results are quite comparable, so that PSM/FT can be applied to measurement of in-plane displacement.

Fabry-Perot Filter Constructed with Anisotropic Space Layer and Isotropic Mirrors

  • Qi, Hongji;Hou, Yongqiang;Yi, Kui;Shao, Jianda
    • Journal of the Optical Society of Korea
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    • v.17 no.1
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    • pp.33-37
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    • 2013
  • In this study a new design concept of the Fabry-Perot filter, constructed with an anisotropic space layer and a couple of isotropic mirrors, was proposed based on the Maxwell equations and the characteristic matrix method. The single- and double-cavity Fabry-Perot filters were designed, and their optical properties were investigated with a developed software package. In addition, the dependence of the transmittance and phase shift for two orthogonal polarization states on the column angle of the anisotropic space layer and the incidence angle were discussed. We demonstrated that the polarization state of electromagnetic waves and phase shifts can be modulated by exploiting an anisotropic space layer in a polarization F-P filter. Birefringence of the anisotropic space layer provided a sophisticated phase modulation with varied incidence angles over a broad range, resulting in a wide-angle phase shift. This new concept would be useful for designing optical components with isotropic and anisotropic materials.

Analysis of nonlinear sequences based on shrinking generator (수축생성기에 기반한 비선형 수열의 분석)

  • Choi, Un-Sook;Cho, Sung-Jin;Kim, Han-Doo;An, Hyun-Joo
    • The Journal of the Korea institute of electronic communication sciences
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    • v.5 no.4
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    • pp.412-417
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    • 2010
  • In this paper, we analyze the properties of nonlinear sequence generated by the shrinking generator. Also we propose a method for recovering the original sequence from intercepted bits by analyzing phase shifts of the output sequence using the properties of sequences generated from control register.