scattering of an incoming wave train by a discontinuity at the upper surface of the ocean over a uniform porous bottom of finite depth is considered here in the framework of linearized water wave theory. by employing residue calculus method, the reflection and transmission coefficient are obtained. these coefficients are computed numerically for different values of the porosity parameter g and ...

this paper presents a low-cost compact planar microstrip-fed monopole antenna and its four-element array design for ultra-wideband (uwb) wireless communication and target detection applications, respectively, operating in the frequency span of 3 ghz to 11 ghz. a prototype was fabricated and then measured based on optimal parameters. the results of reflection coefficient (s11) and radiation patt...

Scattering data The scattering data associated with a LODE usually consists of a reflection coefficient which is a function of the spectral parameter λ, a finite number of constants λj that correspond to the poles of the transmission coefficient in the upper half complex plane, and the bound-state norming constants whose number for each bound-state pole λj is the same as the order of that pole....

We consider solutions of the one-dimensional equation −u+(Q+ λV )u = 0 where Q : R → R is locally integrable, V : R → R is integrable with supp(V ) ⊂ [0, 1], and λ ∈ R is a coupling constant. Given a family of solutions {uλ}λ∈R which satisfy uλ(x) = u0(x) for all x < 0, we prove that the zeros of b(λ) := W [u0, uλ], the Wronskian of u0 and uλ, form a discrete set unless V ≡ 0. Setting Q(x) := −...

Although the Gini coefficient is an ideal measure of income inequality, it may be applied to measure the aging inequality in a society. In this paper, an attempt has been made to develop alternative measures of aging inequality based on the Gini index. The study uses the secondary population data of Asian countries collected from the international data base, US census Bureau. From the analysis ...

A new method for the analysis of the diffraction of a plane wave impinging on a perfectly conducting circular cylinder in front of a generally reflecting surface is presented. The surface is characterized by its complex reflection coefficient, enabling us to treat a wide class of reflecting surfaces. The presence of the surface is taken into account by means of a suitable expansion of the refle...

Asymptotic expansions for small Strouhal number, valid for arbitrary subsonic Mach number, are derived for the solution of a simple problem of the interaction between an acoustic wave, a jet flow and a pipe, based on Munt's [ l ] exact formal solution. These expansions relate to the pressure and velocity fluctuations in the jet flow and in the far field, and to the reflection coefficient, end-i...

This short note describes some simple acoustical wave experiments that explain the physics of reflection and transmission coefficient formulae for normal incidence P-waves. The experiments help us to understand the mathematical expressions for the reflection and transmission coefficients for displacement and pressure that are frequently used in seismology. Figure 1. The figure shows a boundary ...

We present one-dimensional local potentials with an absolute reflection at a given energy value which can be above barriers. The corresponding energy dependence of a reflection coefficient exhibits resonance behavior. The inversion technique provides the potentials with specified widths of reflection resonances, their number and positions. The multichannel systems (exact models) with a complete...

In order to measure the similarity between two partitions coming from the same data set, we study extensions of the RV-coefficient, the kappa coefficient proposed by Cohen (in case of partitions with same number of classes), and the D2 coefficient proposed by Popping. We find that the RV coefficient is identical to the Janson and Vegelius index. We compare the result coming from kappa’s coeffic...