Perfectly matched layer method in the finite-difference time-domain and frequency-domain calculations

Dzmitry Shyroki, Andrei Lavrinenko

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A complex-coordinate method known under the guise of the perfectly matched layer (PML) method for treating unbounded domains in computational electrodynamics is related to similar techniques in fluid dynamics and classical quantum theory. It may also find use in electronic-structure finite-difference simulations. Straightforward transfer of the PML formulation to other fields does not seem feasible, however, since it is a unique feature of electrodynamics - the natural invariance - that allows analytic trick of complex coordinate scaling to be represented as pure modification of local material parameters within thin layers of space adjacent to the computational domain boundaries, i.e., the PMLs.
Original languageEnglish
JournalPhysica Status Solidi B-basic Solid State Physics
Volume244
Issue number10
Pages (from-to)3506-3514
ISSN0370-1972
DOIs
Publication statusPublished - 2007

Cite this

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abstract = "A complex-coordinate method known under the guise of the perfectly matched layer (PML) method for treating unbounded domains in computational electrodynamics is related to similar techniques in fluid dynamics and classical quantum theory. It may also find use in electronic-structure finite-difference simulations. Straightforward transfer of the PML formulation to other fields does not seem feasible, however, since it is a unique feature of electrodynamics - the natural invariance - that allows analytic trick of complex coordinate scaling to be represented as pure modification of local material parameters within thin layers of space adjacent to the computational domain boundaries, i.e., the PMLs.",
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Perfectly matched layer method in the finite-difference time-domain and frequency-domain calculations. / Shyroki, Dzmitry; Lavrinenko, Andrei.

In: Physica Status Solidi B-basic Solid State Physics, Vol. 244, No. 10, 2007, p. 3506-3514.

Research output: Contribution to journalJournal articleResearchpeer-review

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T1 - Perfectly matched layer method in the finite-difference time-domain and frequency-domain calculations

AU - Shyroki, Dzmitry

AU - Lavrinenko, Andrei

PY - 2007

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N2 - A complex-coordinate method known under the guise of the perfectly matched layer (PML) method for treating unbounded domains in computational electrodynamics is related to similar techniques in fluid dynamics and classical quantum theory. It may also find use in electronic-structure finite-difference simulations. Straightforward transfer of the PML formulation to other fields does not seem feasible, however, since it is a unique feature of electrodynamics - the natural invariance - that allows analytic trick of complex coordinate scaling to be represented as pure modification of local material parameters within thin layers of space adjacent to the computational domain boundaries, i.e., the PMLs.

AB - A complex-coordinate method known under the guise of the perfectly matched layer (PML) method for treating unbounded domains in computational electrodynamics is related to similar techniques in fluid dynamics and classical quantum theory. It may also find use in electronic-structure finite-difference simulations. Straightforward transfer of the PML formulation to other fields does not seem feasible, however, since it is a unique feature of electrodynamics - the natural invariance - that allows analytic trick of complex coordinate scaling to be represented as pure modification of local material parameters within thin layers of space adjacent to the computational domain boundaries, i.e., the PMLs.

U2 - 10.1002/pssb.200743248

DO - 10.1002/pssb.200743248

M3 - Journal article

VL - 244

SP - 3506

EP - 3514

JO - IPPS physica status solidi (b)

JF - IPPS physica status solidi (b)

SN - 0370-1972

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