2005
DOI: 10.1002/mop.21260
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Perfectly matched layer absorbing boundary condition for truncating the boundary of the left-handed medium

Abstract: The increasing interest in left‐handed medium (LHM) requires a formulation capable of a full analysis of wave propagation in such materials. However, the conventional perfectly matched layer (PML) absorbing boundary condition (ABC) is unstable when it is extended to truncate the boundary of LHM. This is a consequence of the opposite directions of the Poynting and phase‐velocity vectors of plane waves propagating in such material. In this paper, we derive a modified PML which is stable for the LHM. The effectiv… Show more

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Cited by 18 publications
(11 citation statements)
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“…However, ψ should be chosen in order to keep the system as simple as possible after going back in time. A pertinent choice (whose premises already appeared in the physical literature [9,11,14,19]) is…”
Section: New Stable Pmls For the Drude Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…However, ψ should be chosen in order to keep the system as simple as possible after going back in time. A pertinent choice (whose premises already appeared in the physical literature [9,11,14,19]) is…”
Section: New Stable Pmls For the Drude Modelmentioning
confidence: 99%
“…Since the 1990s, NIMs are the subject of intense researches due to their promising applications: superlens, cloaking, improved antenna, etc [10]. PMLs in such media have been already studied by the physics community [9,11,14,19] but, to our knowledge, without complete mathematical justification.…”
Section: Introductionmentioning
confidence: 99%
“…Overall, updating the components of E in the DNG-UPML requires three steps. First, obtaining the new values of the components of J according to (12): second, using these new J components to obtain the new values of the components of R according to (11): and third, using these new R components to obtain the new values of the E components according to (9).…”
Section: Upml For the Dng Mediummentioning
confidence: 99%
“…Recently, a nearly PML absorbing boundary condition for DNG medium is discussed, and 50-cell layers for NIMPML are used to truncate the DNG medium [10]. Later, a modified PML absorbing boundary condition based on the complexcoordinate stretching variables has been proposed for PSTD method [11]. In this paper, a modified uniaxial PML (UPML) which is stable for the DNG medium is presented.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, a nearly PML, named by NIMPML absorbing boundary condition, is discussed, and 50-cell layers for NIMPML is used to truncate the DNG medium [10]. Later, a modified PML absorbing boundary condition based on the complexcoordinate stretching variables has been proposed for PSTD method [11]. In this paper, a modified uniaxial PML (UPML) which is stable for the DNG medium is presented.…”
Section: Introductionmentioning
confidence: 99%