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

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)2458-2470
Number of pages13
JournalIEEE Transactions on Antennas and Propagation
Volume66
Issue number5
DOIs
StatePublished - May 2018

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.

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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