Frequency-Domain Uniform Asymptotic Solution for Scattered Field by a Coated Cylinder with a Thin Lossy Medium

2016 ◽  
Vol E99.C (1) ◽  
pp. 18-27 ◽  
Author(s):  
Keiji GOTO ◽  
Naokatsu SUMIKAWA ◽  
Ryo ASAI ◽  
Taweedej SANTIKUL
Keyword(s):  
Asymptotic Solution ◽  
Frequency Domain ◽  
Scattered Field ◽  
Lossy Medium ◽  
Coated Cylinder

UNIFORMLY ASYMPTOTIC SOLUTIONS FOR PSEUDODIFFERENTIAL EQUATIONS WITH SINGULAR INTEGRAL OPERATORS

2001 ◽  
Vol 09 (02) ◽  
pp. 495-513 ◽  
Author(s):  
A. HANYGA ◽  
M. SEREDYŃSKA
Keyword(s):  
Asymptotic Solution ◽  
Frequency Domain ◽  
Singular Integral ◽  
Hyperbolic Equations ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Asymptotic Solutions ◽  
Convolution Operators ◽  
Pseudodifferential Equations

Uniformly asymptotic frequency-domain solutions for a class of hyperbolic equations with singular convolution operators are derived. Asymptotic solutions for this class of equations involve additional parameters — called attenuation parameters — which control the smoothing of the wavefield at the wavefront. At caustics the ray amplitudes have a singularity associated with vanishing of ray spreading and with divergence of an integral controlling the rate of exponential amplitude decay. Both problems are resolved by applying a generalized Kravtsov–Ludwig formula derived in this paper. A different asymptotic solution is constructed in the case of separation of dispersion and focusing effects.

A New Derivation of TGR with Naked Antenna in Lossy Medium

2013 ◽  
Vol 380-384 ◽  
pp. 4098-4102
Author(s):  
Xin Bo Qu ◽  
Bi Hua Zhou ◽  
Zheng Wan ◽  
Wei Shi ◽  
Xiao Gang Xie
Keyword(s):  
Fourier Transform ◽  
Frequency Domain ◽  
Integral Equations ◽  
Time Domain ◽  
Inverse Fourier Transform ◽  
Input Resistance ◽  
Grounding System ◽  
Grounding Resistance ◽  
Lossy Medium

A new derivation of Transient Grounding Resistance (TGR) has been proposed in this paper. Take grounding system as naked antenna in lossy medium, and then get the input resistance of naked antenna in a given frequency based on Helen current integral equations. With inverse Fourier transform, the resistance calculation equations can be translated from frequency domain to time domain. The result can be applied to design a new grounding system and to calculate its TGR .

Asymptotic solution for a scattered field by cylindrical objects buried beneath a slightly rough surface

2012 ◽  
Vol 11 (2) ◽  
pp. 177-184 ◽  
Author(s):  
M.A. Fiaz ◽  
F. Frezza ◽  
L. Pajewski ◽  
C. Ponti ◽  
G. Schettini
Keyword(s):  
Asymptotic Solution ◽  
Rough Surface ◽  
Scattered Field
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