• Title/Summary/Keyword: Tangent

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Characteristics of dispersion compensation for apodized linearly-chirped optical fiber gratings (Apoidzed 선형처프된 광섬유 grating의 분산보상특성에 대한 연구)

  • 조상연;이경식
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.1
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    • pp.23-28
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    • 1998
  • A linearly-chirped fiber grating for the dispersion compensation over 520km of 1.3.mu.m single mode fiber is designed. The compensation characteristics of the gratings apodized each with Gaussian and hyperbolic tangent function are studied. the ripples in reflection and delay curves are coniderably reduced for both cases, but the reflection bandwidth for the hyperbolic tangent apodization is much less shrinked than that of the Gaussian apodization.

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ON COMPACT GENERIC SUBMANIFOLDS IN A SASAKIAN SPACE FORM

  • SUNG-BAIK LEE;NAM-GIL KIM;SEUNG-GOOK HAN;IN-YEONG YOO
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.401-409
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    • 1994
  • One of typical submanifolds of a Sasakian manifold is the so-called generic submanifolds which are defined as follows: Let M be a submanifold of a Sasakian manifold M with almost contact metric structure (ø, G, ξ) such that M is tangent to the structure vector ξ. If each normal space is mapped into the tangent space under the action of ø, M is called a generic submanifold of M [2], [8].(omitted)

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APPROXIMATION OF QUADRIC SURFACES USING SPLINES

  • Ahn, Young-Joon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.3
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    • pp.217-224
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    • 2009
  • In this paper we present an approximation method of quadric surface using quartic spline. Our method is based on the approximation of quadratic rational B$\acute{e}$zier patch using quartic B$\acute{e}$zier patch. We show that our approximation method yields $G^1$ (tangent plane) continuous quartic spline surface. We illustrate our results by the approximation of helicoid-like surface.

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PROLONGATIONS OF G-STRUCTURES IMMERSED IN GENERALIZED ALMOST r-CONTACT STRUCTURE TO TANGENT BUNDLE OF ORDER 2

  • Khan, Mohammad Nazrul Islam;Jun, Jae-Bok
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.4
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    • pp.421-427
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    • 2018
  • The aim of this study is to investigate the prolongations of G-structures immersed in the generalized almost r-contact structure on a manifold M to its tangent bundle T(M) of order 2. Moreover, theorems on Hsu structure, integrability and (${F\limits^{\circ}},\;{{\xi}\limits^{\circ}}{{\omega}\limits^{\circ}}_p,\;a,\;{\epsilon}$)-structure have been established.

A Development of Elastoplastic Tangent Modulus in Finite Strain Space (변형율 공간에서의 탄소성 강도 매트릭스 형성)

  • 주관정
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1990.04a
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    • pp.70-74
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    • 1990
  • The finite plasticity in strain space is viewed by formulating the consistency condition and the thermodynamic condition with respect to proposed state variables. The Naghi-Trapp work assumption is used to obtain a constraint equation, and the normality equation is formulated. Finally, an elastoplastic tangent modulus, which is based on the derived equations in strain space, is proposed.

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A New Bussgang Blind Equalization Algorithm with Reduced Computational Complexity (계산 복잡도가 줄어든 새로운 Bussgang 자력 등화 알고리듬)

  • Kim, Seong-Min;Kim, Whan-Woo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.10
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    • pp.1012-1015
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    • 2011
  • The decision-directed blind equalization algorithm is often used due to its simplicity and good convergence property when the eye pattern is open. However, in a channel where the eye pattern is closed, the decision-directed algorithm is not guaranteed to converge. Hence, a modified Bussgang-type algorithm using a hyperbolic tangent function for zero-memory nonlinear(ZNL) function has been proposed and applied to avoid this problem by Filho et al. But application of this algorithm includes the calculation of hyperbolic tangent function and its derivative or a look-up table which may need a large amount of memory due to channel variations. To reduce the computational and/or hardware complexity of Filho's algorithm, in this paper, an improved method for the decision-directed algorithm is proposed. In the proposed scheme, the ZNL function and its derivative are respectively set to be the original signum function and a narrow rectangular pulse which is an approximation of Dirac delta function. It is shown that the proposed scheme, when it is combined with decision-directed algorithm, reduces the computational complexity drastically while it retains the convergence and steady-state performance of the Filho's algorithm.

High-Power Water-Cooled RF Load (고출력 마이크로파 수냉식 RF Load 설계)

  • Heo, Ye-Rim;Lee, Cheol-Eon;Park, Su-Yeon;Kang, Ju-Yeong;Choi, Jin Joo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.30 no.6
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    • pp.445-451
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    • 2019
  • This paper presents the design of a water-cooled radio-frequency(RF) load with simple structure, for use in the ultrahigh-frequency (UHF) band. After establishing a formula to obtain the physical properties that affect RF matching, we measure the permittivity and $tan{\delta}$(Loss tangent) of tap water. Because the temperature of tap water increases upon applying high power, we measure the permittivity and $tan{\delta}$ for all changes in the temperature of tap water. In order to reduce the length of the water-load, molybdate with high $tan{\delta}$ is mixed with tap water. The loss tangent of the mixture is found to be approximately 26 times higher than that of tap water. Finally, we manufacture a water-cooled RF load and measure its characteristics. A reflection coefficient of -19 dB and bandwidth of 15 % is obtained at 460 MHz.

A New Measurement Technique on Inherent-Ring-Resonance Frequency and Effective Loss-Tangent using Ring Filters

  • Ahn, Hee-Ran;Lee, Kwyro
    • Journal of electromagnetic engineering and science
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    • v.4 no.3
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    • pp.113-118
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    • 2004
  • As an application of ring filters, a new and simple method to determine an inherent-ring-resonance frequency is introduced. The ring filter consists of a ring and two short stubs. They are connected at 90$^{\circ}$ and 270$^{\circ}$ points of the ring and the ring filter may be seen in such way that two filters are connected in parallel. Therefore, if the two powers of the two filters are out-of-phase at the output, the power excited at the input can not be delivered. That can be done by making difference in length of the two short stubs, and when a certain condition is satisfied, a frequency exists where all the excited power is reflected. That is the very inherent-ring-resonance frequency. In the lossless case, the return loss with the condition reaches 0 dB at the inherent-ring-resonance frequency but does not with conductor, dielectric losses and so on. Therefore, the effective loss tangent at a frequency of interest may be obtained correctly. To verify the method, two ring filters have been fabricated in microstrip lines and the measured results show good agreement with the predicted ones.

Edge extraction through the tangent plane smoothing and fractal dimensions (접평면 평활화 및 프랙탈 차원을 이용한 경계추출)

  • 김태식
    • Journal of Korea Society of Industrial Information Systems
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    • v.9 no.2
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    • pp.59-64
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    • 2004
  • Most features of nature and phenomena we encounter in many branches of science are inherently very irregular and have fractal aspects. Thus the analysis of them with the traditional methods such as a differential operator may result in their ill-posed problems. To settle these problems, one may use several type of mean filters which smooth the input signal. However when a given function or data are complex in their nature, there may be loss of some original information during these process. In this paper, we utilized the tangent plane method instead of mean filters for the purpose of less loss of information and more smoothness. After then we attempt to take more accurate edges for the irregular image on the basis of the Otzu threshold. Finally we introduce the effective edge extracting method which use the fractal dimension representing the complexity of the given image.

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