Several theorems for reflection and transmission coefficients of plane wave incidence on planar multilayer metamaterial structures

2010 ◽  
Vol 4 (11) ◽  
pp. 1870 ◽  
Author(s):  
H. Oraizi ◽  
A. Abdolali
Keyword(s):  
Plane Wave ◽  
Reflection And Transmission Coefficients ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Wave Incidence ◽  
Plane Wave Incidence

Plane‐wave reflection and transmission coefficients for a transversely isotropic solid

Geophysics ◽  
1992 ◽  
Vol 57 (11) ◽  
pp. 1512-1519 ◽  
Author(s):  
Mark Graebner
Keyword(s):  
Plane Wave ◽  
Wave Reflection ◽  
Transversely Isotropic ◽  
Reflection And Transmission Coefficients ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Isotropic Solid

Numerous investigators have studied the P-SV reflection and transmission coefficients of an isotropic solid (Zoeppritz, 1919; Nafe, 1957; Frasier, 1970; Young and Braile, 1976; Kind, 1976; Aki and Richards, 1980).

RADIATION AND RECEPTION PROPERTIES OF A WIDE SLOT IN A PARALLEL-PLATE TRANSMISSION LINE: II

1959 ◽  
Vol 37 (2) ◽  
pp. 160-169
Author(s):  
R. F. Millar
Keyword(s):  
Plane Wave ◽  
Transmission Line ◽  
Parallel Plate ◽  
Slot Width ◽  
Reflection And Transmission Coefficients ◽  
Parallel Plates ◽  
Polar Diagram ◽  
Reflection And Transmission ◽  
Transmission Coefficients

The study initiated in Part I is continued, with consideration being given to the case in which only a TEM wave is propagated in the parallel-plate region. The reflection and transmission coefficients, and the polar diagram of the radiated field are determined.The amplitude and phase of the propagated wave excited in the line by an incident cylindrical or plane wave are determined by reciprocity arguments.Curves are presented to illustrate the dependence of the field on the slot width and the distance between the parallel plates, for the two field types considered here and in the previous paper.

scholarly journals Analytical and Numerical Investigations Applied to Study the Reflections and Transmissions of a Rectangular Breakwater Placed at the Bottom of a Wave Tank

Geosciences ◽  
2021 ◽  
Vol 11 (10) ◽  
pp. 430
Author(s):  
Mohammed Loukili ◽  
Denys Dutykh ◽  
Chioukh Nadjib ◽  
Dezhi Ning ◽  
Kamila Kotrasova
Keyword(s):  
Plane Wave ◽  
Numerical Method ◽  
Analytical Approach ◽  
Relative Length ◽  
Wave Model ◽  
Reflection And Transmission Coefficients ◽  
Singular Boundary ◽  
Computational Domain ◽  
Reflection And Transmission ◽  
Transmission Coefficients

The purpose of the work presented in this paper is to study the reflection and transmission coefficients resulting from the interactions of regular waves with a rectangular breakwater sited at the bottom of a tank. The present investigation is devoted to the analysis of the reflection and transmission coefficients within the framework of linearized potential flow theory using two methods, a numerical method based on the improved version of the meshless singular boundary method, and the analytical approach within the plane wave model. The numerical method is first validated by studying the accuracy of the numerical computations with respect to the number of boundary nodes and the location of the vertical boundaries of the computational domain, for different immersion ratios (h/d) and different relative lengths (w/d) of the obstacle. To assess the limitations of the analytical approach, a comparison analysis is carried out between the analytical and numerical results. To improve the calculations and the effectiveness of the analytical model, slight adjustments are made to the analytical procedure, which is termed here the corrected analytical plane wave model. Finally, the effects of the immersion ratio (h/d) and the relative length (w/d) of the obstacle on the reflection and transmission coefficients are computed using the three methods, and discussed for several wave and structural conditions.

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