Hybrid spatial-spectral integral equation for periodic guided wave problems and applications to magnetoplasmonics in graphene

2013 ◽  
Author(s):  
Nima Chamanara ◽  
Christophe Caloz
Keyword(s):  
Integral Equation ◽  
Guided Wave ◽  
Spectral Integral ◽  
Wave Problems

scholarly journals Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Light mesons

2007 ◽  
Vol 70 (3) ◽  
pp. 450-477 ◽  
Author(s):  
V. V. Anisovich ◽  
L. G. Dakhno ◽  
M. A. Matveev ◽  
V. A. Nikonov ◽  
A. V. Sarantsev
Keyword(s):  
Integral Equation ◽  
Radiative Transitions ◽  
Spectral Integral ◽  
Light Mesons

Scattering of a shear horizontal wave by a circular cavity in a piezoelectric bi-material strip based on guided wave theory

2020 ◽  
Vol 25 (4) ◽  
pp. 968-985 ◽  
Author(s):  
Hui Qi ◽  
Meng Xiang ◽  
Jing Guo
Keyword(s):  
Integral Equation ◽  
Electric Fields ◽  
Concentration Factor ◽  
Scattering Problem ◽  
Reference Value ◽  
Wave Theory ◽  
Guided Wave ◽  
Circular Cavity ◽  
Two Phase ◽  
Shear Horizontal

The scattering problem of a shear horizontal guided wave in a piezoelectric bi-material strip is analysed by means of the "mirror method," the Green’s function method and guided wave theory. A harmonic out-of-plane line-source force is applied at the junction of two-phase materials. Then, the bi-material strip is divided into two parts, and a pair of in-plane electric fields and a pair of counter-planar forces are applied to the vertical boundary. According to the boundary conditions, the Fredholm integral equation of the first kind is established by using the conjunction method. By effectively truncating the integral equation, the integral equation is simplified to an algebraic equation. The electric field intensity concentration factor and dynamic stress concentration factor around the circular cavity are obtained. The research content of this article is of great reference value in non-destructive testing, providing a reference for the judgement of the reliability of a piezoelectric bi-material strip.

Asymptotic Expansions of Guided Elastic Waves

1972 ◽  
Vol 39 (2) ◽  
pp. 378-384 ◽  
Author(s):  
B. Rulf ◽  
B. Z. Robinson ◽  
P. Rosenau
Keyword(s):  
Elastic Waves ◽  
High Frequency ◽  
Rayleigh Waves ◽  
Lamb Waves ◽  
Two Dimensions ◽  
Guided Wave ◽  
Curved Surfaces ◽  
Sh Waves ◽  
Free Surfaces ◽  
Wave Problems

The problem of propagation of guided elastic waves near curved surfaces and in layers of nonconstant thickness is investigated. Rigorous solutions for such problems are not available, and a method is shown for the construction of high frequency asymptotic solutions for such problems in two dimensions. The method is applied to Love waves, which are SH-waves in an elastic layer, Rayleigh waves, which are elastic waves guided by a single free surface, and Lamb waves, which are SV-waves guided in a plate or layer with two free surfaces. The procedure shown breaks the second-order boundary-value problems which have to be solved into successions of simpler problems which can be solved numerically. Some numerical examples for Rayleigh waves are carried out in order to demonstrate the utility of our method. The method shown is useful for a large variety of guided wave problems, of which the ones we treat are just examples.

scholarly journals Quark-Antiquark states and their radiative transitions in terms of the spectral integral equation: Bottomonia

2007 ◽  
Vol 70 (1) ◽  
pp. 63-92 ◽  
Author(s):  
V. V. Anisovich ◽  
L. G. Dakhno ◽  
M. A. Matveev ◽  
V. A. Nikonov ◽  
A. V. Sarantsev
Keyword(s):  
Integral Equation ◽  
Radiative Transitions ◽  
Spectral Integral
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