• Journal of Korea Water Resources Association
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• v.35 no.1
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• pp.91-96
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• 2002

The present research describes the Bragg reflection of obliquely incident waves propagating over sinusoidally varying topographies. A numerical model based on the boundary element method is employed. Wave numbers providing Bragg reflection are calculated and compared to theoretical predictions. The reflection coefficients obtained from this model are also compared with those of the eigenfunction expansion method. A very good agreement is observed.

• Journal of Korea Water Resources Association
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• v.32 no.4
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• pp.447-455
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• 1999

In this study, the Bragg resonant of cnoidal waves propagating over a sinusoidally varying topography lying on a uniformly sloping beach is investigated. The governing equations derived from the Boussinesq equations are numerically integrated. The effects of fast varying terms and nonlinearity in reflection coefficients are also examined. Variation of reflection coefficient for different sloping beaches is studied. It is found that reflection coefficients are not strongly dependent on slopes of beaches.

• Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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• 2002.08a
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• pp.31-34
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• 2002

Bragg 반사는 입사된 주기파의 진폭이 해저지형의 진폭의 2배가 될 때 파랑의 반사율이 공명현상(resonance)에 의해 매우 커지는 물리적 현상을 말한다. Bragg 반사를 응용할 경우, 외해로부터 입사되는 파랑 에너지의 상당량을 반사시킬 수 있으므로 항만이나 방파제 등의 해안구조물을 경제적으로 설계하고 보호할 수 있다. 또한, 해안선 보호 및 불필요한 침식이나 퇴적 등을 고려한 연안개발계획의 효율적 수립이 가능하다. (중략)

• Journal of Korea Water Resources Association
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• v.36 no.3 s.134
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• pp.413-422
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• 2003

Numerical analysis for the Bragg reflection due to sinusoidally varying seabeds tying on a sloping beach was performed by using a couple of ordinary differential equations derived from the Boussinesq equations. Incident waves were wane groups generated by two short waves with slightly different phases. Effects of the slope of a seabed to the reflection were investigated in detail. It is shown that the reflection of long waves enhanced by increasing the slope of a seabed. This phenomenon caused by increase of wave amplitude due to increase of nonlinearity and shoaling.

• Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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• 2003.08a
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• pp.245-248
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• 2003

Bragg반사는 입사된 주기파의 파장이 해저지형의 파장의 두 배가 될 때 공명현상(resonance)에 의해 반사율이 매우 커지는 물리 현상을 말한다. 즉, 외해에서 주기성을 띄는 파랑이 입사해 올 때, 특정형태의 해저지형을 이용하면 상당량의 에너지를 외해로 반사시킬 수 있다. 이와 같은 Bragg 반사개념을 수중방파제(submerged breakwater)에 응용하면 항만이나 방파제 등의 해안구조물을 경제적으로 설계 및 보호 할 수 있고, 해안선 보호 및 불필요한 퇴적 등을 고려한 연안개발계획의 효율적 수립이 가능하다. (중략)

• Journal of Korea Water Resources Association
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• v.33 no.6
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• pp.805-814
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• 2000

A numerical model based on the boundary element method is employed to describe diffraction of monochromatic water waves due to varying topographies. The model is firstly verified by comparing obtained reflection and transmission coefficients of waves over a trench to those of the eigenfunction expansion method. The model is then used to investigate the Bragg reflection of waves over sinusoidally varying topographies. Calculated reflection coefficients are compared to available laboratory measurements and semi-theoretical results. A reasonably good agreement is observed.served.

• Journal of Korea Water Resources Association
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• v.36 no.3 s.134
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• pp.447-454
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• 2003

The Bragg reflection of monochromatic waves propagating over a rectangular-typed impermeable submerged breakwaters is numerically investigated by using the finite element method. The reflection coefficients calculated from the present model are compared with those of laboratory measurements and the eigenfunction expansion method. A good agreement is observed. The finite element model is also applied to calculate reflection coefficients according to variations of length and width of submerged breakwater.

• Journal of Korea Water Resources Association
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• v.36 no.5
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• pp.741-749
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• 2003

This study presents a combined experimental and numerical effort to investigate experimentally and numerically the Bragg reflection of sinusoidal waves due to trapezoidal submerged porous breakwaters. Numerical predictions of the study are verified by comparing to laboratory measurements. In the numerical model, the flow in porous structures is described by the spatially averaged Navier-Stokes equations and the volume of fluid method is employed to track the free surface displacements. Numerical solutions are agree well with laboratory measurements. The reflection coefficients of porous structures are smaller than those of non-porous structures and become stronger in proportion to the increase of number of submerged breakwaters.

• Journal of Korea Water Resources Association
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• v.35 no.6
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• pp.677-684
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• 2002

In this study, a finite element model is employed to simulate the diffraction of waves caused by a change of water depths. The model is firstly applied to the estimation of reflection coefficients of monochromatic waves over a sinusoidally varying topography. Predicted coefficients are compared with those of the eigenfunction expansion method and laboratory measurements. A good agreement is observed. The model is then used to investigate effects of heights of bottom topography and number of ripples on variation of reflection coefficients of monocromatic water waves.

• Proceedings of the Optical Society of Korea Conference
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• 1991.06a
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• pp.203-208
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• 1991

We present an analytic equation for the reflectivity spectrum of a Bragg reflector in terms of the front mirror reflectivity, due to the refractive index difference between the refractive index of outside medium and the average refractive index of Bragg reflector structures, and the reflectivity of a Bragg reflector calculated by the coupled wave method. We show that even Fresnel reflection causes the reflectivity spectrum of a bragg reflector to be very different from that of Bragg reflectors calculated by the coupled wave method. The reflectivity spectrum of a Bragg reflector is dramatically changed because the interference effect between the reflected wave from the front facet and that from the Bragg reflector is changed due to the difference of a phase change from a Bragg reflector when the sequence of layers in a Bragg reflector is changed.