Identification of microstructured materials by phase and group velocities

An inverse problem to determine parameters of microstructured solids by means of group and phase velocities of wave packets is studied. It is proved that in the case of normal dispersion the physical solution is unique and in the case of anomalous dispersion two physical solutions occur. Numerical...

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Main Authors:	Jaan Janno, Jüri Engelbrecht
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2009-03-01
Series:	Mathematical Modelling and Analysis
Subjects:	inverse problem microstructure dispersion phase and group velocity
Online Access:	https://journals.vgtu.lt/index.php/MMA/article/view/6519

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spelling	doaj-2143359d449d40ed9558171fcfd4711f2021-07-02T10:07:42ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102009-03-0114110.3846/1392-6292.2009.14.57-68Identification of microstructured materials by phase and group velocitiesJaan Janno0Jüri Engelbrecht1Tallinn University of Technology, Institute of Cybernetics Akadeemia tee 21, 12618 Tallinn, EstoniaTallinn University of Technology, Institute of Cybernetics Akadeemia tee 21, 12618 Tallinn, Estonia An inverse problem to determine parameters of microstructured solids by means of group and phase velocities of wave packets is studied. It is proved that in the case of normal dispersion the physical solution is unique and in the case of anomalous dispersion two physical solutions occur. Numerical tests are presented. First published online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/6519inverse problemmicrostructuredispersionphase and group velocity
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jaan Janno Jüri Engelbrecht
spellingShingle	Jaan Janno Jüri Engelbrecht Identification of microstructured materials by phase and group velocities Mathematical Modelling and Analysis inverse problem microstructure dispersion phase and group velocity
author_facet	Jaan Janno Jüri Engelbrecht
author_sort	Jaan Janno
title	Identification of microstructured materials by phase and group velocities
title_short	Identification of microstructured materials by phase and group velocities
title_full	Identification of microstructured materials by phase and group velocities
title_fullStr	Identification of microstructured materials by phase and group velocities
title_full_unstemmed	Identification of microstructured materials by phase and group velocities
title_sort	identification of microstructured materials by phase and group velocities
publisher	Vilnius Gediminas Technical University
series	Mathematical Modelling and Analysis
issn	1392-6292 1648-3510
publishDate	2009-03-01
description	An inverse problem to determine parameters of microstructured solids by means of group and phase velocities of wave packets is studied. It is proved that in the case of normal dispersion the physical solution is unique and in the case of anomalous dispersion two physical solutions occur. Numerical tests are presented. First published online: 14 Oct 2010
topic	inverse problem microstructure dispersion phase and group velocity
url	https://journals.vgtu.lt/index.php/MMA/article/view/6519
work_keys_str_mv	AT jaanjanno identificationofmicrostructuredmaterialsbyphaseandgroupvelocities AT juriengelbrecht identificationofmicrostructuredmaterialsbyphaseandgroupvelocities
_version_	1721332307336364032

Identification of microstructured materials by phase and group velocities

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