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An absorbing boundary condition for the path‐integral time‐domain method
Author(s) -
Miller Jeffrey A.,
Nevels Robert D.
Publication year - 2000
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 - 10.1002/1098-2760(20010120)28:2<93::aid-mop4>3.0.co;2-9
Subject(s) - finite difference time domain method , perfectly matched layer , microwave , mathematical analysis , boundary value problem , integral equation , mathematics , absorption (acoustics) , artifact (error) , physics , optics , computer science , telecommunications , computer vision
An investigation of two types of ABC applied to the PITD method is presented. These include an absorbing‐layer condition and a “null” boundary condition, which is uniquely suited to the numerical implementation of the PITD equations. It is shown that the absorbing‐layer method, in which layer impedance profiles are chosen so as to maximize absorption, can produce a PITD global error comparable to that obtained using the same profile in the FDTD method. The wrap‐around effect, an artifact of the PITD method in which waves leaving one side of the numerical space appear on the opposite side, is minimized by the implementation of absorbing layers. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 28: 93–98, 2001.