Travelling times in scattering by obstacles

Lyle Noakes; Luchezar Stoyanov

doi:10.1016/j.jmaa.2015.05.013

Travelling times in scattering by obstacles

Lyle Noakes, Luchezar Stoyanov

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

© 2015 Elsevier Inc. The paper deals with some problems related to recovering information about an obstacle in a Euclidean space from certain measurements of lengths of generalised geodesics in the exterior of the obstacle. The main result is that if two obstacles satisfy some generic regularity conditions and have (almost) the same travelling times, then the generalised geodesic flows in their exteriors are conjugate on the non-trapping part of their phase spaces with a time preserving conjugacy. Apart from that a constructive procedure is described that shows how to recover an obstacle consisting of two convex domains in the plane from travelling times.

Original language	English
Pages (from-to)	703-717
Journal	Journal of Mathematical Analysis and Applications
Volume	430
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2015.05.013
Publication status	Published - 2015

Access to Document

10.1016/j.jmaa.2015.05.013

Cite this

@article{1c1810214c8f4443b5c0eb65d345faa8,

title = "Travelling times in scattering by obstacles",

abstract = "{\textcopyright} 2015 Elsevier Inc. The paper deals with some problems related to recovering information about an obstacle in a Euclidean space from certain measurements of lengths of generalised geodesics in the exterior of the obstacle. The main result is that if two obstacles satisfy some generic regularity conditions and have (almost) the same travelling times, then the generalised geodesic flows in their exteriors are conjugate on the non-trapping part of their phase spaces with a time preserving conjugacy. Apart from that a constructive procedure is described that shows how to recover an obstacle consisting of two convex domains in the plane from travelling times.",

author = "Lyle Noakes and Luchezar Stoyanov",

year = "2015",

doi = "10.1016/j.jmaa.2015.05.013",

language = "English",

volume = "430",

pages = "703--717",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press",

number = "2",

}

TY - JOUR

T1 - Travelling times in scattering by obstacles

AU - Noakes, Lyle

AU - Stoyanov, Luchezar

PY - 2015

Y1 - 2015

N2 - © 2015 Elsevier Inc. The paper deals with some problems related to recovering information about an obstacle in a Euclidean space from certain measurements of lengths of generalised geodesics in the exterior of the obstacle. The main result is that if two obstacles satisfy some generic regularity conditions and have (almost) the same travelling times, then the generalised geodesic flows in their exteriors are conjugate on the non-trapping part of their phase spaces with a time preserving conjugacy. Apart from that a constructive procedure is described that shows how to recover an obstacle consisting of two convex domains in the plane from travelling times.

AB - © 2015 Elsevier Inc. The paper deals with some problems related to recovering information about an obstacle in a Euclidean space from certain measurements of lengths of generalised geodesics in the exterior of the obstacle. The main result is that if two obstacles satisfy some generic regularity conditions and have (almost) the same travelling times, then the generalised geodesic flows in their exteriors are conjugate on the non-trapping part of their phase spaces with a time preserving conjugacy. Apart from that a constructive procedure is described that shows how to recover an obstacle consisting of two convex domains in the plane from travelling times.

U2 - 10.1016/j.jmaa.2015.05.013

DO - 10.1016/j.jmaa.2015.05.013

M3 - Article

SN - 0022-247X

VL - 430

SP - 703

EP - 717

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Travelling times in scattering by obstacles

Abstract

Access to Document

Fingerprint

Cite this