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Plane-Wave Time-Domain Accelerated Radiation Boundary Kernels for FDTD Analysis of ID Electromagnetic Phenomena.

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Title: Plane-Wave Time-Domain Accelerated Radiation Boundary Kernels for FDTD Analysis of ID Electromagnetic Phenomena.
Authors: Shanker, Balasubramaniam, Mingyu Lu, Ergin, A. Arif, Michielssen, Eric
Source: IEEE Transactions on Antennas & Propagation; Nov2005, Vol. 53 Issue 11, p3704-3716, 13p
Subject Terms: Finite differences, Integrals, Numerical analysis, Radiation, Boundary value problems, Electronic data processing
Abstract: Truncating finite difference time domain meshes using exact radiation boundary conditions is computationally expensive. The computational bottleneck stems from the global nature of the resulting boundary update scheme, which calls for the evaluation of retarded-time boundary integrals at each time step. The classical evaluation of such integrals requires O ( Ns2) operations per time step where Ns is the number of spatial field sampling points on the boundary. Here, the plane wave time domain algorithm is used to evaluate retarded-time boundary integrals in O(Ns log2 Ns) operations per time step and thereby accelerate finite difference time domain solvers that impose exact radiation boundary conditions. The effectiveness of the resulting approach and its computational complexity are demonstrated through several numerical examples. [ABSTRACT FROM AUTHOR]
Copyright of IEEE Transactions on Antennas & Propagation is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Plane-Wave Time-Domain Accelerated Radiation Boundary Kernels for FDTD Analysis of ID Electromagnetic Phenomena.
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  Data: <searchLink fieldCode="AR" term="%22Shanker%2C+Balasubramaniam%22">Shanker, Balasubramaniam</searchLink><br /><searchLink fieldCode="AR" term="%22Mingyu+Lu%22">Mingyu Lu</searchLink><br /><searchLink fieldCode="AR" term="%22Ergin%2C+A%2E+Arif%22">Ergin, A. Arif</searchLink><br /><searchLink fieldCode="AR" term="%22Michielssen%2C+Eric%22">Michielssen, Eric</searchLink>
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  Data: IEEE Transactions on Antennas & Propagation; Nov2005, Vol. 53 Issue 11, p3704-3716, 13p
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  Data: <searchLink fieldCode="DE" term="%22Finite+differences%22">Finite differences</searchLink><br /><searchLink fieldCode="DE" term="%22Integrals%22">Integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Radiation%22">Radiation</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+data+processing%22">Electronic data processing</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Truncating finite difference time domain meshes using exact radiation boundary conditions is computationally expensive. The computational bottleneck stems from the global nature of the resulting boundary update scheme, which calls for the evaluation of retarded-time boundary integrals at each time step. The classical evaluation of such integrals requires O ( N<subscript>s</subscript><superscript>2</superscript>) operations per time step where N<subscript>s</subscript> is the number of spatial field sampling points on the boundary. Here, the plane wave time domain algorithm is used to evaluate retarded-time boundary integrals in O(N<subscript>s</subscript> log<superscript>2</superscript> N<subscript>s</subscript>) operations per time step and thereby accelerate finite difference time domain solvers that impose exact radiation boundary conditions. The effectiveness of the resulting approach and its computational complexity are demonstrated through several numerical examples. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of IEEE Transactions on Antennas & Propagation is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1109/TAP.2005.858590
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      – Code: eng
        Text: English
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        PageCount: 13
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        Type: general
      – SubjectFull: Integrals
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Radiation
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Electronic data processing
        Type: general
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      – TitleFull: Plane-Wave Time-Domain Accelerated Radiation Boundary Kernels for FDTD Analysis of ID Electromagnetic Phenomena.
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            NameFull: Shanker, Balasubramaniam
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            NameFull: Mingyu Lu
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            NameFull: Ergin, A. Arif
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              M: 11
              Text: Nov2005
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              Y: 2005
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