• Title/Summary/Keyword: Reflection Coefficient

Search Result 642, Processing Time 0.028 seconds

INTERACTION OF SURFACE WATER WAVES WITH SMALL BOTTOM UNDULATION ON A SEA-BED

  • Martha, S.C.;Bora, S.N.;Chakrabarti, A.
    • Journal of applied mathematics & informatics
    • /
    • v.27 no.5_6
    • /
    • pp.1017-1031
    • /
    • 2009
  • The problem of interaction of surface water waves by small undulation at the bottom of a laterally unbounded sea is treated on the basis of linear water wave theory for both normal and oblique incidences. Perturbation analysis is employed to obtain the first order corrections to the reflection and transmission coefficients in terms of integrals involving the shape function c(x) representing the bottom undulation. Fourier transform method and residue theorem are applied to obtain these coefficients. As an example, a patch of sinusoidal ripples is considered in both the cases as the shape function. The principal conclusion is that the reflection coefficient is oscillatory in the ratio of twice the surface wave number to the wave number of the ripples. In particular, there is a Bragg resonance between the surface waves and the ripples, which is associated with high reflection of incident wave energy. The theoretical observations are validated computationally.

  • PDF

Wave Run-up and Reflection on Slopes of S-berm Breakwaters Armored with Tetrapods (테트라포드를 이용한 S-berm 경사식 방파제의 처오름과 반사)

  • Ahn, Tae-Jun;Lee, Seung-Hyeob;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2005.05b
    • /
    • pp.1078-1082
    • /
    • 2005
  • In this study, the run-up height and reflection property on slopes of S-berm and smooth slopes breakwaters are investigated by laboratory experiment. The run-up height analyzed the effect of reflection coefficient, surf similarity parameter. Measured reflection coefficients of smooth slope breakwaters are compared with those of S-berm breakwater with variable widths. In general, measured coefficients of S-berm breakwaters are smaller than those of smooth slope breakwaters.

  • PDF

Analysis on Signal Flow Graph of Slotted LIne (Slotted Line의 Signal Flow Graph 해석)

  • 박기수
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.6 no.3
    • /
    • pp.8-11
    • /
    • 1969
  • In the precision measurement of the voltage standing wave ratio (VSWR) or reflection coefficient by means of the slotted line technique, one of the important factors is the maximum error due to the discontinuities and multi-reflection in the slotted line. Particularly, this error becomes a critical factor when the VSWR or the reflection coefficient to be measured is very small. In this paper, the exact expression of this error is obtained by means of the Signal flow graph method.

  • PDF

Reflection and Dissipation Characteristics of Non-overtopping Quarter Circle Breakwater with Low-mound Rubble Base

  • Balakrishna, K;Hegde, Arkal Vittal;Binumol, S
    • Journal of Advanced Research in Ocean Engineering
    • /
    • v.1 no.1
    • /
    • pp.44-54
    • /
    • 2015
  • Breakwaters are the coastal structures constructed either perpendicular (shore connected) or parallel (detached) to the coast. The main function of breakwater is to create a tranquil medium on its leeside by reflecting the waves and also dissipating the wave energy arriving from seaside, resulting in ease of manoeuvrability to boats or ships to their berthing places. Different types of breakwaters are being used at present, such as rubble mound breakwater, vertical wall type breakwater and composite breakwater. The objective of this paper is to investigate reflection coefficients (Kr) and dissipation (loss) coefficients (Kl) for physical models of Quarter circle caisson breakwater of three different radii of 0.550 m, 0.575 m and 0.600 m with S/D ratio of 2.5 (S=spacing between perforations, D=diameter of perforations). The models were tested in the monochromatic wave flume of the department, for different incident wave heights (Hi), Wave periods (T) and water depths (d). It was observed that reflection coefficient increased with increase in the wave steepness (Hi/gT2) and decreased with increase in depth parameter (d/gT2) and hs/d (Height of structure including rubble base/depth of water). The loss coefficient decreased with increase in the wave steepness and increased with increase in depth parameter and hs/d.

The analysis of fracture stress using reflection coefficient of surface acoustic wave (탄성표면파의 반사계수를 이용한 파괴응력의 해석)

  • Shin, J.S.;Kim, J.K.;Jun, K.S.
    • The Journal of the Acoustical Society of Korea
    • /
    • v.10 no.3
    • /
    • pp.13-18
    • /
    • 1991
  • In this study, the analysis technique of fracture stress using the reflection coefficient of SAW reflected from a brittle solid with surface crack has been studied. Fracture stress of brittle solid with surface crack has been obtained by the function of the critical stress intensity factor and the maximum normalized stress intensity factor of the crack in the body. And the maximum normalized stress intensity factor of a surface crack can be inferred from a measurement of reflection coefficient of SAW. In experiment, the surface cracks ranging from 0.5mm to 0.9mm in crack depth has been made at the center of each Pyrex disc, and the SAW wedge transducer has been set up for the pitch-catch mode. It has been compared the theoretical values of the fracture stress calculated from the reflection coefficient of SAW with the values of the fracture stress measured from UTM.

  • PDF

Determination of Plane-wave Reflection Coefficient in Underwater Acoustic Pulse Tube Using Two-dimensional Fourier Filtering (이차원 푸리에 필터링을 이용한 수중음향 펄스 튜브에서의 평면파 반사계수 결정)

  • Kim, Wan-Gu;Kang, Hwi Suk;Yoon, Suk Wang
    • The Journal of the Acoustical Society of Korea
    • /
    • v.34 no.6
    • /
    • pp.493-498
    • /
    • 2015
  • Complex acoustic signals can be formed in a water-filled acoustic pulse tube under some exciting conditions. It makes difficult to measure plane-wave reflection coefficient with the pulse tube for low frequency bands. In this study, using COMSOL Multiphysics we show that the tube wall excitation generates complex acoustic field of nonplanar mode as well as planar one. From such field incident or reflected planar mode can be decomposed respectively with a modal decomposition method, two-dimensional Fourier filtering. It makes possible to more accurately determine the plane-wave reflection coefficient of acoustic specimen with time gating.

Validity of Empirical Formulas for Estimation of Reflection Coefficient of Waves Due to Perforated Wall (유공벽에 의한 파의 반사율 산정에 있어서 경험공식의 타당성)

  • Yoon, Sung Bum;Lee, Jong In;Han, Sang Cheol
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.26 no.6B
    • /
    • pp.633-639
    • /
    • 2006
  • The validity of the existing formulas for the estimation of reflection coefficient of waves due to perforated wall is investigated using the result of hydraulic experiments conducted with perforated walls of various thickness. The result shows that, when the wall is thick, the energy loss coefficient is reduced to 62% of the value evaluated using the existing formula for sharp-crested orifice. The result also shows that the length of inertia resistance increases linearly as the thickness of the wall increases. The width of chamber to achieve the minimum reflection of waves decreases as the length of inertia resistance increases. Thus, the result found in the present study can be usful for the design of perforated wall.

Simulation of Reflective Boundaries Using the Sponge Layer in Boussinesq Wave Propagation Model (Boussinesq 파랑전파모델에서 스펀지층을 이용한 반사경계의 모의)

  • Chun, In-Sik
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.19 no.5
    • /
    • pp.429-435
    • /
    • 2007
  • The present study proposed a method fer simulating reflective boundary conditions in Boussinesq wave propagation model by lining lateral boundaries like breakwaters and seawalls with artificial sponge layers. In order to find out the reflective characteristics of sponge layers, 1D numerical experiments were performed varying the relative sponge width (sponge width/wave length). The results showed that the reflection coefficient can be effectively realized from no reflection to full reflection simply by adjusting the relative sponge width. Based on the results, a multiple regression formula was proposed to delineate the relationship among the reflection coefficient and other dimensionless variables. Finally, the reflective sponge layer was applied to a semi-infinite breakwater, demonstrating that it can also be successfully employed in 2D applications.

Experimental Analysis of Power Transmission and Reflection In a Coupled Plate (연성평판에서의 파워투과 및 반사 특성 실험 해석)

  • Lee, Y.H.;Kil, H.G.;Lee, H.H.;Lee, K.H.;Hong, S.Y.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2005.11b
    • /
    • pp.170-173
    • /
    • 2005
  • The objective of this paper is to perform measurements of power transmission and reflection coefficients in a coupled plate. The coupled plate has been divided into 2 subsystems. The out-of-plane vibration has been only considered with assumption of relatively small in-plane vibration. The coupling loss factors have been measured with consideration of the power balance condition. The power transmission and reflection coefficients has been estimated from the measured values of the coupling loss factors. The measured power transmission and reflection coefficients have been compared with the corresponding theoretical coefficients in a semi-infinite coupled plate.

  • PDF

Design of Lossy Matching Network for Microwave Broadband Amplifier Using the Relationship Between Gain and Reflection Coefficients (이득-반사계수 관계를 이용한 마이크로파 광대역 증폭기용 유손실 정합회로의 설계)

  • Koo, Kyung-Heon;Lee, Choong-Woong
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.26 no.5
    • /
    • pp.10-17
    • /
    • 1989
  • A new design method of lossy matching network for the microwave broadband ampilfier is presented by using seattering parameters instead od modeling of transistor. A lossy matching network is represented as the combination of 2 lossless networks between which lossy serial or parallel immittance is inserted without using specific topology, and so many useful matching cireuits can be realized. Also it is shown that linear transforming relation exists between gain and reflection coefficient of the amplifier, and the transforming equation is derived using scattering parameters. With this equation some constant gain circles can be drawn on reflection coefficient plane to get adequate reflection coefficient and gain. And since the relations between amplifier gain/reflection coefficient and the immittance of passive element are bilinear transformations. constant gain or reflection coefficients circles. Illustrative examples are presented to show the usefulness of proposed method.

  • PDF