Extended integral equation formulation for scattering problems from a cylindrical scatterer

1988 ◽  
Vol 36 (11) ◽  
pp. 1580-1586 ◽  
Author(s):  
I. Toyoda ◽  
M. Matsuhara ◽  
N. Kumagai
Keyword(s):  
Integral Equation ◽  
Scattering Problems ◽  
Equation Formulation ◽  
Integral Equation Formulation

An enhanced integral-equation formulation for accurate analysis of frequency-selective structures

2012 ◽  
Vol 4 (3) ◽  
pp. 365-372 ◽  
Author(s):  
Guido Valerio ◽  
Alessandro Galli ◽  
Donald R. Wilton ◽  
David R. Jackson
Keyword(s):  
Integral Equation ◽  
Multilayered Structures ◽  
Accurate Analysis ◽  
Scattering Problems ◽  
Equation Formulation ◽  
Acceleration Techniques ◽  
Full Wave ◽  
Integral Equation Formulation ◽  
Different Types ◽  
Frequency Selective

In this work, a very efficient mixed-potential integral-equation formulation is implemented for the rigorous analysis of multilayered structures with arbitrarily shaped two-dimensional periodic metallic and/or dielectric inclusions. Original acceleration techniques have been developed for the computation of the components of the scalar and dyadic Green's functions, based on different types of asymptotic extractions according to the potential considered. The theoretical approach and its computational convenience have been validated through different full-wave analyses concerning both scattering problems and complex-mode dispersive behaviors in various frequency-selective structures for microwave applications.

On periodic water-waves and their convergence to solitary waves in the long-wave limit

1981 ◽  
Vol 303 (1481) ◽  
pp. 633-669 ◽  
Keyword(s):  
Integral Equation ◽  
Solitary Waves ◽  
Water Waves ◽  
Periodic Problem ◽  
Existence Theory ◽  
Periodic Waves ◽  
Equation Formulation ◽  
Long Wave ◽  
Integral Equation Formulation ◽  
Wave Limit

A detailed discussion of Nekrasov’s approach to the steady water-wave problems leads to a new integral equation formulation of the periodic problem. This development allows the adaptation of the methods of Amick & Toland (1981) to show the convergence of periodic waves to solitary waves in the long-wave limit. In addition, it is shown how the classical integral equation formulation due to Nekrasov leads, via the Maximum Principle, to new results about qualitative features of periodic waves for which there has long been a global existence theory (Krasovskii 1961, Keady & Norbury 1978).

An integral equation formulation for the unconfined flow of groundwater with variable inlet conditions

1995 ◽  
Vol 18 (1) ◽  
pp. 15-36 ◽  
Author(s):  
Z. -X. Chen ◽  
G. S. Bodvarsson ◽  
P. A. Witherspoon ◽  
Y. C. Yortsos
Keyword(s):  
Integral Equation ◽  
Equation Formulation ◽  
Unconfined Flow ◽  
Integral Equation Formulation ◽  
Inlet Conditions
Sign in / Sign up

Export Citation Format

Share Document