• Title/Summary/Keyword: Elliptic Integral

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An Analysis of Electromagnetic Field Scattering for the Dielectric Cylinders (유전체주의 전자장 산란 해석)

  • 박동희;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.2
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    • pp.181-186
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    • 1992
  • The scattering property of TMz illuminated perfectly conducting and dielectric cylinders of arbitrary cross section are analyzed by the boundary element techniques. The boundary element equations are formulated via Maxwell’s equations, weighted residual or Green’s theorem, and the boundary conditions. The unknown surface fields on the boundaries are then calculated by the boundary element integral equations. Once the surface fields are found, the scattered fields in from a perfectly conducting circular and elliptic cylinders, a dielectric circular and elliptic cylinders are numerically analyzed. A general computer program has been developed using the quadratic elements(higher order boundary elements) and the Gaussian quadrature.

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A Study on Improvement of Wave Height Algorithm using Accelerometer (가속도계를 이용한 파고 알고리즘 개선에 관한 연구)

  • Chung, Dong-Keun;Lim, Myung-Jae;Lee, Joon-Taik
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.14 no.6
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    • pp.215-220
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    • 2014
  • Most of studies on wave height algorithms that are using at buoys describe algorithms using double integral to determine the position data from the acceleration data measured from the accelerometer. but sometimes, it can involve some cumulative error in that process, and result in misjudgment or unstabe system. On the other hand, It is widely known that the motion of fluid particles on or underneath a linear progressive wave is periodic and elliptic. This fact is considered in this article and leads a improved algorithms with no integral processing.

Design and Realization. of the Dual-mode Channel Filter and Group-Delay-and-Amplitude Equalizer for the Ka-band Satellite Transponder Subsystem

  • Sungtek Kahng;Uhm, Man-Seok;Lee, Seong-Pal
    • Journal of electromagnetic engineering and science
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    • v.3 no.2
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    • pp.140-146
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    • 2003
  • In this paper, the design of a channel filter and its group-delay-and-amplitude equalizer is carried out for the Ka-band satellite transponder subsystem. The 8th order dual-mode filter is employed for high selectivity around the band-edges with an elliptic-integral function response and has an in-line configuration. The 2-pole, reflection-type, group-delay equalizer is designed and manufactured to reduce the group-delay and amplitude variation, which can be large for such a high order filter. It is noted that in both the filter and equalizer, adopting the dual-mode coupling mechanism leads to less mass and volume. Through measurement, the performance of the realized group-delay-equalized filter is shown to meet the equipment requirements and to be appropriate for the satellite input multiplexer.

Elastica Solution of Large Deformation of Fiber Cantilever with Crimped Shapes (크림프를 가진 섬유 캔틸레버의 대변형의 일래스티카 해)

  • 정재호;강태진
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.102-105
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    • 2001
  • In this paper, the solution of two dimensional deflection of circular wavy elastica beam was obtained for one end clamped boundary and concentrated load condition. The beam was regarded as a linear elastic material. Wavy shape was described as a combination of half-circular arc smoothly connected each other with constant curvature of all the same magnitude and alternative sign. Also load direction was taken into account. As a result, the solution was expressed in terms of a series of integral equations. While we found the exact solutions and expressed them in terms of elliptic integrals, the recursive ignition formulae about the displacement and arc length at each segment of circular section were obtained. Algorithm of determining unknown parameters was established and the profile curve of deflected beam was shown compared with initial shape.

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A Study on Frequency Response of GaAs MESFET with different Temperatures (온도변화에 따른 GaAs MESFET의 주파수 특성에 관한 연구)

  • 정태오;박지홍;안형근;한득영
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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    • pp.550-553
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    • 2001
  • In this study, unity current gain frequency f$\_$T/ of GaAs MESFET is predicted with different temperatures up to 400 $^{\circ}C$. Temperature dependence parameters of the device including intrinsic carrier concentration n$\_$i/ effective mass, depletion width are considered to be temperature dependent. Small signal parameters such as gate-source, gate dran capacitances C$\_$gs/ C$\_$gd/ are correlated with transconductance g$\_$m/ to predict the unity current gain frequency. The extrinsic capacitance which plays an important roles in high frequency region has been taken into consideration in evaluating total capacitance by using elliptic integral through the substrate. From the results, f$\_$T/ decreases as the temperature increases due to the increase of small signal capacitances and the mobility degradation. Finally the extrinsic elements of capacitances have been proved to be critical in deciding f$\_$T/ which are originated from the design rule of the device.

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A Dual-Mode Narrow-Band Channel Filter and Group-Delay Equalizer for a Ka-Band Satellite Transponder

  • Kahng, Sung-Tek;Uhm, Man-Seok;Lee, Seong-Pal
    • ETRI Journal
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    • v.25 no.5
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    • pp.379-386
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    • 2003
  • This paper presents the design of a narrow-band channel filter and its group-delay equalizer for a Ka-band satellite transponder. We used an 8th order channel filter for high selectivity with an elliptic-integral function response and an inline configuration. We designed a 2-pole, reflection-type, group-delay equalizer to compensate for the steep variation of the group-delay at the output of the channel filter, keeping the thermal stability at ${\pm}7$ ns of group-delay variation at the band edges over 15-55$^{\circ}C$. We devised a new tuning technique using short-ended dummy cavities and used it for tuning both the filter and equalizer; this removes the necessity of additional tuning after the cavities are assembled. Through measurement, we demonstrate that the group-delay-equalized filter meets the equipment requirements and is appropriate for satellite input multiplexers.

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An Efficient Design Method of RF Filters via Optimized Rational-Function Fitting, without Coupling-Coefficient Similarity Transformation (무 결합계수-회전변환의, 최적화된 유리함수 Fitting에 의한 효율적인 RF대역 여파기 설계기법)

  • Ju Jeong-Ho;Kang Sung-Tek;Kim Hyeong-Seok
    • 한국정보통신설비학회:학술대회논문집
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    • 2006.08a
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    • pp.202-204
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    • 2006
  • A new method is presented to design RF filters without the Similarity Transform of their coupling coefficient matrix as circuit parameters which is very tedious due to pivoting and deciding rotation angles needed during the iterations. The transfer function of a filter is directly used for the design and its desired form is derived by the optimized rational-function fitting technique. A 3rd order Coaxial Lowpass filter and an 8th order dual-mode elliptic integral function response filter are taken as an example to validate the proposed method.

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Dynamic Response of an Anti-plane Shear Crack in a Functionally Graded Piezoelectric Strip

  • Kwon, Soon-Man;Lee, Kang-Yong
    • Journal of Mechanical Science and Technology
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    • v.18 no.3
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    • pp.419-431
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    • 2004
  • The dynamic response of a cracked functionally graded piezoelectric material (FGPM) under transient anti-plane shear mechanical and in-plane electrical loads is investigated in the present paper. It is assumed that the electroelastic material properties of the FGPM vary smoothly in the form of an exponential function along the thickness of the strip. The analysis is conducted on the basis of the unified (or natural) crack boundary condition which is related to the ellipsoidal crack parameters. By using the Laplace and Fourier transforms, the problem is reduced to the solutions of Fredholm integral equations of the second kind. Numerical results for the stress intensity factor and crack sliding displacement are presented to show the influences of the elliptic crack parameters, the electric field, FGPM gradation, crack length, and electromechanical coupling coefficient.

Analysis of Shape Change of a Surface Crack during Stable Fatigue Growth (안정피로성장 중인 표면균열 형상변화의 해석)

  • Chu, Seok-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.9
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    • pp.2843-2853
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    • 1996
  • The multi-point procedure is developed to predict the shape change of a semi-elliptical surface crack during stable fatigue crack growth. 3-D stress intensity factors along a crack front are calculated using the simplified 3-D J-intergral. Crack growth rate coefficient in the Paris law is assumed to be constant along the crack growth. Crack growth rate is set to be the distance between the two parallel tangent lines on the two semi-elliptic crack fronts before and after crack growth.

A Simple Solution of Lateral Buckling of an Elastica with Self-Contact (자기접촉을 가지는 일래스티카 기둥의 수평좌굴 해의 간단한 해법)

  • Jung, Jae-Ho;Kang, Tae-Jin;Lee, Kyung-Woo
    • Proceedings of the Korean Fiber Society Conference
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    • 2003.10b
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    • pp.80-83
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    • 2003
  • Exact Solution of lateral buckling of elastica column with self-contact was obtained. By assuming that there exists a counter force to maintain the horizontal coordinate at contact point to be the same value as that of highest point of bent beam, we could prevent the shape of solution from overlapping with each other. As the simpliest case, we obtained the elliptic integral solutions of the laterally post-buckled shape of linear elastic inextensible column under concentrated load. (omitted)

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