---
res:
bibo_abstract:
- Computer aided simulation of guided acoustic waves in single- or multilayered
waveguides is an essential tool for several applications of acoustics and ultrasonics
(i.e. pipe inspection, noise reduction). To simulate wave propagation in geometrically
simple waveguides (plates or rods), one may employ the analytical global matrix
method [1]. This requires the computation of all roots of the determinate of a
certain submatrix. The evaluation of all real or even complex roots is actually
the methods most concerning restriction. Previous approaches base on so called
mode-tracers which use the physical phenomenon that solutions (roots) appear in
a certain pattern (waveguide modes) and thus use known solutions to limit the
root finding algorithms searchspace with respect to consecutive solutions. As
the limitation of searchspace might be unstable in some cases, we propose to replace
the mode-tracer with a suitable version of an interval Newton method based on
Intlab [2]. To apply this interval based method, we extended the interval and
derivative computation provided by Intlab such that corresponding information
is also available for Bessel functions used in the circular model (rods) of acoustic
waveguides. We present numerical results of a simple acoustic waveguide and discuss
extensions required for more realistic scenarios.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Andrea
foaf_name: Walther, Andrea
foaf_surname: Walther
- foaf_Person:
foaf_givenName: Fabian
foaf_name: Bause, Fabian
foaf_surname: Bause
- foaf_Person:
foaf_givenName: Bernd
foaf_name: Henning, Bernd
foaf_surname: Henning
foaf_workInfoHomepage: http://www.librecat.org/personId=213
dct_date: 2012^xs_gYear
dct_language: eng
dct_title: Computing roots for the analytic modeling of guided waves in acoustic
waveguides@
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