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Quasi‐PML for waves in cylindrical coordinates
Author(s) -
Liu Q. H.,
He J. Q.
Publication year - 1998
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19981005)19:2<107::aid-mop7>3.0.co;2-k
Subject(s) - perfectly matched layer , microwave , limit (mathematics) , mathematical analysis , boundary value problem , cylindrical coordinate system , physics , finite difference time domain method , mathematics , optics , quantum mechanics
We prove that the straightforward extension of Berenger's original perfectly matched layer (PML) is not reflectionless at a cylindrical interface in the continuum limit. A quasi‐PLM is developed as an absorbing boundary condition (ABC) for the finite‐difference time‐domain method in cylindrical coordinates. For three‐dimensional problems, this quasi‐PML requires only ten equations, instead of 12 equations in the best true PML formulations. With a satisfactory absorption level, it is simpler, and requires about 20% less computer memory than the true PML ABC. © 1998 John Wiley & Sons, Inc. Microwave Opt Technol Lett 19: 107–111, 1998.