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On the concept of the transparent absorbing boundary
Author(s) -
Maslovski Stanislav I.,
Tretyakov Sergei A.
Publication year - 1999
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(19991005)23:1<59::aid-mop18>3.0.co;2-w
Subject(s) - boundary (topology) , reflection (computer programming) , truncation (statistics) , boundary value problem , perfectly matched layer , physics , space (punctuation) , microwave , mathematical analysis , optics , mathematics , computer science , quantum mechanics , programming language , operating system , statistics
The transparent absorbing boundary (TAB) was recently suggested for grid termination in finite methods. Previously, it was shown that this boundary is matched with free space if the TAB region extends to infinity. In this paper, reflection from a TAB layer backed by a boundary (electric or magnetic wall) is analyzed both analytically and numerically. It is shown that, although the auxiliary fields can be attenuated in the TAB region to as low a level as desired, the reflected wave from the backing boundary is then amplified back to the original level of the incident wave. A modification of the Yee algorithm as suggested by the TAB authors is shown to be equivalent to a usual absorbing boundary condition at the truncation interface. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 23: 59–62, 1999.