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A normalized plane‐wave method for 2D Helmholtz problems
Author(s) -
Bogaert Ignace,
Pissoort Davy,
Olyslager Frank
Publication year - 2006
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/mop.21316
Subject(s) - plane wave , multipole expansion , diagonal , helmholtz equation , plane (geometry) , helmholtz free energy , microwave , physics , acoustics , mathematics , computer science , mathematical analysis , telecommunications , optics , geometry , quantum mechanics , boundary value problem
A new technique to diagonalize the 2D Green's function is presented. The new method, called the normalized plane‐wave method, is an extension of the plane‐wave method into the low‐frequency regime. As such, it provides a way to achieve () complexity for both low‐ as well as high‐frequency problems without having to resort to inhomogeneous plane‐wave methods. The accuracy of the proposed method is thoroughly tested and it is shown that it can be made as high as one may reasonably want in any of the frequency regimes. Furthermore, it is shown to be faster than the traditional fast‐multipole method (FMM) for low‐frequency problems, by virtue of diagonal translations. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 237–243, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21316