An improved new implementation of complex frequency shifted PML for the FDTD method

Antonios Giannopoulos

doi:10.1109/TAP.2008.928789

An improved new implementation of complex frequency shifted PML for the FDTD method

Antonios Giannopoulos

School of Engineering

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

Abstract / Description of output

A new implementation of the perfectly matched layer absorbing boundary for finite-difference time-domain grids is presented. The approach which is based on the complex co-ordinate stretching perfectly matched layer (PML) formulation uses the complex frequency shifted stretching function and is based on the simple concept of the recursive evaluation of an integral avoiding the calculation of time derivatives. This recursive integration PML is simple to implement, efficient and exhibits a modest gain in performance over the convolutional PML without requiring any extra computational resources or an increase in the algorithmic complexity of the PML implementation.

Original language	English
Pages (from-to)	2995-3000
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	56
Issue number	9
DOIs	https://doi.org/10.1109/TAP.2008.928789
Publication status	Published - Sept 2008

Keywords / Materials (for Non-textual outputs)

absorbing boundary condition (ABC)
finite-difference time-domain (FDTD)
perfectly matched layer (PML)
PERFECTLY MATCHED LAYER
LINEAR RECURSIVE CONVOLUTION
ABSORBING BOUNDARY-CONDITION
NUMERICAL REFLECTION
ELECTROMAGNETIC-WAVES
EVANESCENT WAVES
DISPERSIVE MEDIA
TRUNCATION
ABSORPTION
ORIGIN

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10.1109/TAP.2008.928789

Cite this

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title = "An improved new implementation of complex frequency shifted PML for the FDTD method",

abstract = "A new implementation of the perfectly matched layer absorbing boundary for finite-difference time-domain grids is presented. The approach which is based on the complex co-ordinate stretching perfectly matched layer (PML) formulation uses the complex frequency shifted stretching function and is based on the simple concept of the recursive evaluation of an integral avoiding the calculation of time derivatives. This recursive integration PML is simple to implement, efficient and exhibits a modest gain in performance over the convolutional PML without requiring any extra computational resources or an increase in the algorithmic complexity of the PML implementation.",

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author = "Antonios Giannopoulos",

year = "2008",

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doi = "10.1109/TAP.2008.928789",

language = "English",

volume = "56",

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journal = "IEEE Transactions on Antennas and Propagation ",

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T1 - An improved new implementation of complex frequency shifted PML for the FDTD method

AU - Giannopoulos, Antonios

PY - 2008/9

Y1 - 2008/9

N2 - A new implementation of the perfectly matched layer absorbing boundary for finite-difference time-domain grids is presented. The approach which is based on the complex co-ordinate stretching perfectly matched layer (PML) formulation uses the complex frequency shifted stretching function and is based on the simple concept of the recursive evaluation of an integral avoiding the calculation of time derivatives. This recursive integration PML is simple to implement, efficient and exhibits a modest gain in performance over the convolutional PML without requiring any extra computational resources or an increase in the algorithmic complexity of the PML implementation.

AB - A new implementation of the perfectly matched layer absorbing boundary for finite-difference time-domain grids is presented. The approach which is based on the complex co-ordinate stretching perfectly matched layer (PML) formulation uses the complex frequency shifted stretching function and is based on the simple concept of the recursive evaluation of an integral avoiding the calculation of time derivatives. This recursive integration PML is simple to implement, efficient and exhibits a modest gain in performance over the convolutional PML without requiring any extra computational resources or an increase in the algorithmic complexity of the PML implementation.

KW - absorbing boundary condition (ABC)

KW - finite-difference time-domain (FDTD)

KW - perfectly matched layer (PML)

KW - PERFECTLY MATCHED LAYER

KW - LINEAR RECURSIVE CONVOLUTION

KW - ABSORBING BOUNDARY-CONDITION

KW - NUMERICAL REFLECTION

KW - ELECTROMAGNETIC-WAVES

KW - EVANESCENT WAVES

KW - DISPERSIVE MEDIA

KW - TRUNCATION

KW - ABSORPTION

KW - ORIGIN

UR - http://www.scopus.com/inward/record.url?scp=51749121264&partnerID=8YFLogxK

U2 - 10.1109/TAP.2008.928789

DO - 10.1109/TAP.2008.928789

M3 - Article

VL - 56

SP - 2995

EP - 3000

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 9

ER -

An improved new implementation of complex frequency shifted PML for the FDTD method

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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