scholarly journals ANALYSIS OF HIGH FREQUENCY PLANE WAVE SCATTERING FROM A DOUBLE NEGATIVE CYLINDER VIA THE MODIFIED WATSON TRANSFORMATION AND DEBYE EXPANSION

2008 ◽  
Vol 84 ◽  
pp. 55-92 ◽  
Author(s):  
Saffet Gökçen Åžen ◽  
Mustafa Kuzuoglu
Keyword(s):  
Plane Wave ◽  
High Frequency ◽  
Wave Scattering ◽  
Double Negative ◽  
Watson Transformation ◽  
Plane Wave Scattering

scholarly journals A sharp relative-error bound for the Helmholtz h-FEM at high frequency

2021 ◽  
Author(s):  
D. Lafontaine ◽  
E. A. Spence ◽  
J. Wunsch
Keyword(s):  
Plane Wave ◽  
Relative Error ◽  
High Frequency ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Practical Applications ◽  
Polynomial Degree ◽  
Fixed Order ◽  
Explicit Bounds ◽  
Plane Wave Scattering

AbstractFor the h-finite-element method (h-FEM) applied to the Helmholtz equation, the question of how quickly the meshwidth h must decrease with the frequency k to maintain accuracy as k increases has been studied since the mid 80’s. Nevertheless, there still do not exist in the literature any k-explicit bounds on the relative error of the FEM solution (the measure of the FEM error most often used in practical applications), apart from in one dimension. The main result of this paper is the sharp result that, for the lowest fixed-order conforming FEM (with polynomial degree, p, equal to one), the condition “$$h^2 k^3$$ h 2 k 3 sufficiently small" is sufficient for the relative error of the FEM solution in 2 or 3 dimensions to be controllably small (independent of k) for scattering of a plane wave by a nontrapping obstacle and/or a nontrapping inhomogeneous medium. We also prove relative-error bounds on the FEM solution for arbitrary fixed-order methods applied to scattering by a nontrapping obstacle, but these bounds are not sharp for $$p\ge 2$$ p ≥ 2 . A key ingredient in our proofs is a result describing the oscillatory behaviour of the solution of the plane-wave scattering problem, which we prove using semiclassical defect measures.

scholarly journals Integral Equation Analysis of Plane Wave Scattering by Coplanar Graphene-Strip Gratings in the THz Range

2013 ◽  
Vol 3 (5) ◽  
pp. 666-674 ◽  
Author(s):  
Olga V. Shapoval ◽  
Juan Sebastian Gomez-Diaz ◽  
Julien Perruisseau-Carrier ◽  
Juan R. Mosig ◽  
Alexander I. Nosich
Keyword(s):  
Integral Equation ◽  
Plane Wave ◽  
Wave Scattering ◽  
Equation Analysis ◽  
Thz Range ◽  
Plane Wave Scattering ◽  
Graphene Strip

scholarly journals Plane wave scattering from a plasmonic nanowire-film system with the inclusion of non-local effects

2015 ◽  
Vol 23 (20) ◽  
pp. 26064 ◽  
Author(s):  
Rahul Trivedi ◽  
Yashna Sharma ◽  
Anuj Dhawan
Keyword(s):  
Plane Wave ◽  
Wave Scattering ◽  
Film System ◽  
Local Effects ◽  
Non Local ◽  
Plane Wave Scattering
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