Error Bounds of the Fast Inhomogeneous Plane Wave Algorithm

Shinichiro OHNUKI 

Publication
IEICE TRANSACTIONS on Electronics  Vol.E92-C  No.1  pp.169-172
Publication Date: 2009/01/01
Online ISSN: 1745-1353
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Electromagnetic Theory
Keyword: 
error analysis,  fast integral solver,  fast inhomogeneous plane wave algorithm, 

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Summary: 
The Green's function of free space for the fast inhomogeneous plane wave algorithm is represented by an integration in the complex plane. The error in the computational process is determined by the number of sampling points, the truncation of the integration path, and the extrapolation. Therefore, the error control method is different from that for the fast multipole method. We will discuss the worst-case interactions of the fast inhomogeneous plane wave algorithm for the box implementation and define the upper and lower bounds of the computational error.