• Title/Summary/Keyword: periodic wave

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Leaky Wave Radiation and Surface Wave Launching Problem in a Dielectrically Covered Periodically Slitted Parallel-Plate Waveguide (주기적인 슬릿을 갖고 유전체층으로 덮힌 평행평판 도파관에서의 누설파 복사 및 표면파 launching)

  • 이종익;이철훈;조영기
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.36D no.4
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    • pp.25-33
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    • 1999
  • Leaky wave radiation and surface wave launching problems in a dielectrically covered and periodically slitted parallel-plate waveguide(PPW) are considered for the TEM wave incidence case. Both the infinite and finite periodic geometries are analyzed by use of the method of moments. Some numerical results for the reflected and transmitted powers in the PPW, radiation efficiency into the free space, surface wave launching efficiency into the slab, antenna gain, and radiation patterns against dielectric thickness are presented to show the effect of the dielectric cover on the performances of the slitted leaky wave antenna. In addition, the method for improving surface wave launching efficiency using the proposed periodic geometry is described and maximum launching efficiency of 97.5% is obtained theoretically. So this structure is thought to be promising as an efficient feeder of dielectric grating antenna as well as image guide.

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A Study on the Numerical Models of Wave induced Currents (파랑에 의한 연안류의 수치모델에 관한 연구)

  • Lee, Jung-Maan;Kim, Jae-Joong;Park, Jung-Chul
    • Journal of Ocean Engineering and Technology
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    • v.12 no.3 s.29
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    • pp.75-85
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    • 1998
  • A finite difference model for predicting time-dependent, wave-induced nearshore current is studied. The model includes wave refraction, wave-current interaction, bottom friction and wind effect. This model iteratively solved the linear the linear set of conservation of both mass and momentum, which were time averaged (over one wave period) and depth integrated, for mean velocities and free surface displacement. Numerical simulations of nearshore current under oblique wave attack, and for wave and wind induced current on a longshore periodic beach are carried out. Longshore velocities tend to zero in some distances outside the breaker line. And the peak velocity is shifted shoreward at the breaker line. The results represent the general characteristics of the nearshore current induced by wave.

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A Study of Periodic Solutions of Typical Relay Servo System (릴레이 제어기구 조기해법에 관한 연구)

  • 나계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.8 no.3
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    • pp.1-14
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    • 1971
  • A relay servo, one of the nonlinear sytsems, is inherently compact compared to a linear system for an equivalent control problem. The power element or actuator is not adjusted proportionally in accordance with an error signals but rather is switched abruptly between several discrete conditions. Usually switched conditions are off, full, forward or full reverse. The relay system is a particularly simple and compact one, but probably more effort has been expended on its analysis and design than on all other systems together. Early studies in the art were made by Goldfarb, austin, Oppelt and Kochenburger on the describing function method, which can be used as an approximate check on the stability of the system. The describing function method is based on the assumption that any periodic wave could be approximated as a fundamental one in wide ranges of practical applications. A relay servo system usually operates on a limit cycle condition as the loop gain increases. The stability analysis compensation or any improvement effort based on the describing function method sometimes may present considerable discrepancies on physically realized practical systems. An approach to exact periodic solutions of a relay servo system is much important for the analysis, design and system improvement. This paper dells with periodic solutions of a relay servo system on the basis of describing function and generalized chopper wave form which is composed of infinite number of harmonic series. Various ways of graphical representation were attempted to get periodic solutions, some of which have shown its validity in rapid approach to exact solutions and also in judgement of system behavior.

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EXTENDED JACOBIN ELLIPTIC FUNCTION METHOD AND ITS APPLICATIONS

  • Chen, Huaitang;Zhang, Hongqing
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.119-130
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    • 2002
  • An extended Jacobin elliptic function method is presented for constructing exact travelling wave solutions of nonlinear partial differential equations(PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation that Jacobin elliptic functions satisfy and use its solutions to replace Jacobin elliptic functions in Jacobin elliptic function method. It is interesting that many other methods are special cases of our method. Some illustrative equations are investigated by this means.

Surface Acoustic Wave Track Changer Using Multistrip Coupler (다중스트립결합기를 이용한 탄성표면파 빔 궤적 변환기)

  • 안재영;황금찬;박용서
    • The Journal of the Acoustical Society of Korea
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    • v.3 no.2
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    • pp.23-29
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    • 1984
  • In this paper surface acoustic wave beam track changers using symmetric multistrip coupler are designed on the basis of the perturbation theory, and its characteristics are studied. SAW beam track changers, which have the configuratio of the periodic array of metal strips, are designed with the following specifications ; the number of strips : 140, the strip period: 0.25λ, the ratios of the strip width to the period a/p: 0.5, 0.375, 0.25, respectively, and approximately consistent with the theoretical values, and also the bulk wave mode and the 2nd-order effects are suppressed by these track changers.

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Theoretical Description of All-Optical Switching Phenomena Involving Coupled Gap Solitons

  • Lee, Sangjae
    • Korean Journal of Optics and Photonics
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    • v.7 no.4
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    • pp.403-413
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    • 1996
  • We study the propagation of two pulses with orthogonal linear polarizations in a nonlinear periodic dielectric structure with $X^{(3)}$ nonlinearity. Using an envelope- function approach, we derive the coupled nonlinear Schrodinger equations governing the spatio-temporal evolutions of the two orthogonally polarized modes in a nonlinear periodic structure. We then find their solitary-wave solutions referred to as coupled gap solitons. We show that two orthogonally polarized pulses can co-propagate as a coupled gap soliton through a nonlinear periodic structure while each pulse alone will be strongly reflected due to the Bragg reflection. Based on the results, we present an all-optical switching scheme which has a novel architecture and principle. We also study the stability of coupled gap solitons to find the dragging phenomena in a nonlinear birefringent periodic medium.

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Optimal design of batch-storage serial trains considering setup and inventory holding cost (준비비와 재고비를 고려한 직렬 비연속 공정과 중간 저장조의 최적설계)

  • Lee, Gyeong-Beom
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.4
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    • pp.398-405
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    • 1997
  • This article presents a new model which is called Periodic Square-Wave(PSW) to describe the material flow of the periodic processes involving intermediate buffer. The material flows incoming into and outgoing from the intermediate buffer are assumed to be periodic square shaped. PSW model gives the same result as that of Economic Production Quantity(EPQ) model for determining optimal lot size of single stage batch storage system. However, for batch storage serial train system, PSW model gives a different optimal solution of about 6 % reduced total cost. PSW model provides the more accurate information on inventory and production system than the classical approach by maintaining simplicity and increasing computational burden.

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Optimal design of parallel noncontinuous units with feedstock/product storages (원료및 제품저장조를 포함하는 병렬 비연속 공정의 최적설계)

  • Yi, Gyeong-Beom
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.5
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    • pp.532-541
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    • 1997
  • This article derives an analytic solution to determine the optimal size of multiple noncontinuous process and storage units. The total cost to be minimized consists of the setup cost of noncontinuous processing units and the inventory holding cost of feedstock/product storages. A novel approach, which is called PSW(Periodic Square Wave) model, is applied to represent the material flow among non-continuous units and storages. PSW model presumes that the material flow between unit and storage is periodic square wave shaped. The resulting optimal unit size has similar characteristics with the classical economic lot sizing model such as EOQ(Economic Order Quantity) or EPQ(Economic Production Quantity) model in a sense that the unit size is determined as the balance between setup and inventory holding cost. However, the influence of inventory holding cost of PSW model is different from that of EOQ/EPQ model. EOQ/EPQ model includes only the product inventory holding cost but PSW model includes all inventory holding costs around the non-continuous unit with proportional contribution. PSW model is suitable for analyzing interlinked process-storage system. The optimal lot size of PSW model is smaller than that of EOQ/EPQ model. This is quitea remarkable result considering that the EOQ/EPQ model has been is widely used since last half century.

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Transmission Characteristics of Periodic Au Slits at Terahertz Regimes (테라헤르츠 영역에서 금으로 구성된 주기적인 소형 개구의 투과 현상)

  • Yoo, Sungjun;Park, Jong-Eon;Lee, Jun-yong;Choo, Hosung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.2
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    • pp.77-82
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    • 2018
  • Electromagnetic wave transmission through periodic metal-insulator-metal(MIM) waveguides as a function of plate thickness has not been extensively studied at various terahertz frequencies. In this paper, we investigate the transmittances through gold MIM slits when a normally incident wave with parallel polarization is considered at several terahertz frequencies. In addition, the results are compared to the case of a perfect electric conductor, and the differences are discussed.

Influence of a Structure by the Submerged Breakwater and the Porous Wave Absorber (수중방파제와 다공성 소파장치가 구조물에 미치는 영향)

  • Park, Jin-Ho;Jung, Tae-Hwa;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.225-228
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    • 2008
  • There are many studies about submerged structures or porous wave absorbers to decrease damage of coast and structures. Submerged structures and porous wave absorber are decreasing energy of incoming wave by reflecting or dissipation with changing depth or with porous rubble mound. This study addresses the reflection and transmission of long wave from a trapezoidal breakwater and a vertical porous wave absorber at the same time. A systematic shape transfer is derived to determine wave reflection and transmission. And periodic solutions are matched at the slope and the front face of the absorber by assuming continuity of pressure and mass. The transmission coefficient is determined as a function of parameters describing the incoming waves, transmitting waves through the trapezoidal breakwater and the absorber characteristics.

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