Frequency-Domain PML Layer Based on the Complex Mapping of Space Boundary Condition Treatment

H. A. Jamid

doi:10.1109/75.867849

Frequency-Domain PML Layer Based on the Complex Mapping of Space Boundary Condition Treatment

H. A. Jamid^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

12 Scopus citations

Abstract

Mapping of real space into a complex one is done in order absorb the radiative field. The boundary condition which ensures reflectionless incidence at the vacuum/PML interface is established. The application of this boundary condition results in a modified finite-difference approximation of the second derivative of the field. This approach, which is valid only for frequency-domain methods is applied using the Method of Lines. Comparison of theory and numerical simulation establishes the validity of the approach.

Original language	English
Pages (from-to)	356-358
Number of pages	3
Journal	IEEE Microwave and Guided Wave Letters
Volume	10
Issue number	9
DOIs	https://doi.org/10.1109/75.867849
State	Published - Sep 2000

Bibliographical note

Funding Information:
Manuscript received May 15, 2000; revised July 5, 2000. This work was supported by King Fahd University of Petroleum and Minerals. The author is with the Electrical Engineering Department, King Fahd University of Petroleum and Minerals, Dhaharan, Saudi Arabia (e-mail: [email protected]). Publisher Item Identifier S 1051-8207(00)08794-8.

Keywords

Finite-difference methods
method of lines
perfectly-matched layer

ASJC Scopus subject areas

General Engineering
General Physics and Astronomy

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10.1109/75.867849

Cite this

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title = "Frequency-Domain PML Layer Based on the Complex Mapping of Space Boundary Condition Treatment",

abstract = "Mapping of real space into a complex one is done in order absorb the radiative field. The boundary condition which ensures reflectionless incidence at the vacuum/PML interface is established. The application of this boundary condition results in a modified finite-difference approximation of the second derivative of the field. This approach, which is valid only for frequency-domain methods is applied using the Method of Lines. Comparison of theory and numerical simulation establishes the validity of the approach.",

keywords = "Finite-difference methods, method of lines, perfectly-matched layer",

author = "Jamid, \{H. A.\}",

note = "Funding Information: Manuscript received May 15, 2000; revised July 5, 2000. This work was supported by King Fahd University of Petroleum and Minerals. The author is with the Electrical Engineering Department, King Fahd University of Petroleum and Minerals, Dhaharan, Saudi Arabia (e-mail: [email protected]). Publisher Item Identifier S 1051-8207(00)08794-8.",

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AU - Jamid, H. A.

N1 - Funding Information: Manuscript received May 15, 2000; revised July 5, 2000. This work was supported by King Fahd University of Petroleum and Minerals. The author is with the Electrical Engineering Department, King Fahd University of Petroleum and Minerals, Dhaharan, Saudi Arabia (e-mail: [email protected]). Publisher Item Identifier S 1051-8207(00)08794-8.

PY - 2000/9

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N2 - Mapping of real space into a complex one is done in order absorb the radiative field. The boundary condition which ensures reflectionless incidence at the vacuum/PML interface is established. The application of this boundary condition results in a modified finite-difference approximation of the second derivative of the field. This approach, which is valid only for frequency-domain methods is applied using the Method of Lines. Comparison of theory and numerical simulation establishes the validity of the approach.

AB - Mapping of real space into a complex one is done in order absorb the radiative field. The boundary condition which ensures reflectionless incidence at the vacuum/PML interface is established. The application of this boundary condition results in a modified finite-difference approximation of the second derivative of the field. This approach, which is valid only for frequency-domain methods is applied using the Method of Lines. Comparison of theory and numerical simulation establishes the validity of the approach.

KW - Finite-difference methods

KW - method of lines

KW - perfectly-matched layer

UR - https://www.scopus.com/pages/publications/0034269445

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DO - 10.1109/75.867849

M3 - Article

AN - SCOPUS:0034269445

SN - 1051-8207

VL - 10

SP - 356

EP - 358

JO - IEEE Microwave and Guided Wave Letters

JF - IEEE Microwave and Guided Wave Letters

IS - 9

ER -

Frequency-Domain PML Layer Based on the Complex Mapping of Space Boundary Condition Treatment

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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