A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering from Electrically Large Conducting Objects

Yang Liu; Abdulkadir C. Yucel; Hakan Bagci; Anna C. Gilbert; Eric Michielssen

doi:10.1109/TAP.2018.2809555

A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering from Electrically Large Conducting Objects

Yang Liu^*, Abdulkadir C. Yucel, Hakan Bagci, Anna C. Gilbert, Eric Michielssen

^*Corresponding author for this work

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

A wavelet-enhanced plane-wave time-domain (PWTD) algorithm for efficiently and accurately solving time-domain surface integral equations (TD-SIEs) on electrically large conducting objects is presented. The proposed scheme reduces the memory requirement and computational cost of the PWTD algorithm by representing the PWTD ray data using local cosine wavelet bases (LCBs) and performing PWTD operations in the wavelet domain. The memory requirement and computational cost of the LCB-enhanced PWTD-accelerated TD-SIE solver, when applied to the analysis of transient scattering from smooth quasi-planar objects with near-normal incident pulses, scale nearly as O(Ns\Ns) and O(Ns1.5), respectively. Here, Ns denotes the number of spatial unknowns. The efficiency and accuracy of the proposed scheme are demonstrated through its applications to the analysis of transient scattering from a 185-wavelength long NASA almond and a 123-wavelength long Airbus A-320 model.

Original language	English (US)
Pages (from-to)	2458-2470
Number of pages	13
Journal	IEEE Transactions on Antennas and Propagation
Volume	66
Issue number	5
DOIs	https://doi.org/10.1109/TAP.2018.2809555
State	Published - May 2018

Keywords

Complexity analysis
fast algorithms
local cosine basis (LCB)
marching-on-in-time (MOT)
plane-wave time-domain algorithm (PWTD)
time-domain surface integral equation (TD-SIE)
transient scattering
very large-scale problems
wavelet

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2018.2809555

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@article{86d20f19a46141e0a7577011df36b412,

title = "A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering from Electrically Large Conducting Objects",

abstract = "A wavelet-enhanced plane-wave time-domain (PWTD) algorithm for efficiently and accurately solving time-domain surface integral equations (TD-SIEs) on electrically large conducting objects is presented. The proposed scheme reduces the memory requirement and computational cost of the PWTD algorithm by representing the PWTD ray data using local cosine wavelet bases (LCBs) and performing PWTD operations in the wavelet domain. The memory requirement and computational cost of the LCB-enhanced PWTD-accelerated TD-SIE solver, when applied to the analysis of transient scattering from smooth quasi-planar objects with near-normal incident pulses, scale nearly as O(Ns\Ns) and O(Ns1.5), respectively. Here, Ns denotes the number of spatial unknowns. The efficiency and accuracy of the proposed scheme are demonstrated through its applications to the analysis of transient scattering from a 185-wavelength long NASA almond and a 123-wavelength long Airbus A-320 model.",

keywords = "Complexity analysis, fast algorithms, local cosine basis (LCB), marching-on-in-time (MOT), plane-wave time-domain algorithm (PWTD), time-domain surface integral equation (TD-SIE), transient scattering, very large-scale problems, wavelet",

author = "Yang Liu and Yucel, {Abdulkadir C.} and Hakan Bagci and Gilbert, {Anna C.} and Eric Michielssen",

note = "Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

year = "2018",

month = may,

doi = "10.1109/TAP.2018.2809555",

language = "English (US)",

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T1 - A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering from Electrically Large Conducting Objects

AU - Liu, Yang

AU - Yucel, Abdulkadir C.

AU - Bagci, Hakan

AU - Gilbert, Anna C.

AU - Michielssen, Eric

PY - 2018/5

Y1 - 2018/5

N2 - A wavelet-enhanced plane-wave time-domain (PWTD) algorithm for efficiently and accurately solving time-domain surface integral equations (TD-SIEs) on electrically large conducting objects is presented. The proposed scheme reduces the memory requirement and computational cost of the PWTD algorithm by representing the PWTD ray data using local cosine wavelet bases (LCBs) and performing PWTD operations in the wavelet domain. The memory requirement and computational cost of the LCB-enhanced PWTD-accelerated TD-SIE solver, when applied to the analysis of transient scattering from smooth quasi-planar objects with near-normal incident pulses, scale nearly as O(Ns\Ns) and O(Ns1.5), respectively. Here, Ns denotes the number of spatial unknowns. The efficiency and accuracy of the proposed scheme are demonstrated through its applications to the analysis of transient scattering from a 185-wavelength long NASA almond and a 123-wavelength long Airbus A-320 model.

AB - A wavelet-enhanced plane-wave time-domain (PWTD) algorithm for efficiently and accurately solving time-domain surface integral equations (TD-SIEs) on electrically large conducting objects is presented. The proposed scheme reduces the memory requirement and computational cost of the PWTD algorithm by representing the PWTD ray data using local cosine wavelet bases (LCBs) and performing PWTD operations in the wavelet domain. The memory requirement and computational cost of the LCB-enhanced PWTD-accelerated TD-SIE solver, when applied to the analysis of transient scattering from smooth quasi-planar objects with near-normal incident pulses, scale nearly as O(Ns\Ns) and O(Ns1.5), respectively. Here, Ns denotes the number of spatial unknowns. The efficiency and accuracy of the proposed scheme are demonstrated through its applications to the analysis of transient scattering from a 185-wavelength long NASA almond and a 123-wavelength long Airbus A-320 model.

KW - Complexity analysis

KW - fast algorithms

KW - local cosine basis (LCB)

KW - marching-on-in-time (MOT)

KW - plane-wave time-domain algorithm (PWTD)

KW - time-domain surface integral equation (TD-SIE)

KW - transient scattering

KW - very large-scale problems

KW - wavelet

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JO - IEEE Transactions on Antennas and Propagation

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IS - 5

ER -

A Wavelet-Enhanced PWTD-Accelerated Time-Domain Integral Equation Solver for Analysis of Transient Scattering from Electrically Large Conducting Objects

Abstract

Keywords

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