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Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides. / Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari.

In: Asymptotic Analysis, Vol. 111, No. 2, 01.01.2019, p. 69-111.

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

Harvard

Leugering, G, Nazarov, SA & Taskinen, J 2019, 'Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides', Asymptotic Analysis, vol. 111, no. 2, pp. 69-111. https://doi.org/10.3233/ASY-181487

APA

Leugering, G., Nazarov, S. A., & Taskinen, J. (2019). Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides. Asymptotic Analysis, 111(2), 69-111. https://doi.org/10.3233/ASY-181487

Vancouver

Leugering G, Nazarov SA, Taskinen J. Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides. Asymptotic Analysis. 2019 Jan 1;111(2):69-111. https://doi.org/10.3233/ASY-181487

Author

Leugering, Günter ; Nazarov, Sergei A. ; Taskinen, Jari. / Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides. In: Asymptotic Analysis. 2019 ; Vol. 111, No. 2. pp. 69-111.

BibTeX

@article{29aa3f90c8b94475b0dd3ca4d219b170,
title = "Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides",
abstract = "We develop and investigate radiation conditions at infinity for composite piezo-elastic waveguides. The approach is based on the Mandelstam radiation principle according to which the energy flux at infinity is directed away from the source and which implies constraints on the (sign of the) group velocities. On the other side, the Sommerfeld radiation condition implies limitations on the wave phase velocity and is, in fact, not applicable in the context of piezo-elastic wave guides. We analyze the passage to the limit when the piezo-electric moduli tend to zero in certain regions yielding purely elastic inclusions there. We provide a number of examples, e.g. elastic and acoustic waveguides as well as purely elastic insulating and conducting inclusions.",
keywords = "Asymptotic decomposition, Detached asymptotics, Limited absorption principle, Mandelstam principle, Piezo-elasticity, Piezo-electricity, Sommerfeld principle, Umov-Poynting vector, Waveguide",
author = "G{\"u}nter Leugering and Nazarov, {Sergei A.} and Jari Taskinen",
year = "2019",
month = jan,
day = "1",
doi = "10.3233/ASY-181487",
language = "English",
volume = "111",
pages = "69--111",
journal = "Asymptotic Analysis",
issn = "0921-7134",
publisher = "IOS Press",
number = "2",

}

RIS

TY - JOUR

T1 - Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides

AU - Leugering, Günter

AU - Nazarov, Sergei A.

AU - Taskinen, Jari

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We develop and investigate radiation conditions at infinity for composite piezo-elastic waveguides. The approach is based on the Mandelstam radiation principle according to which the energy flux at infinity is directed away from the source and which implies constraints on the (sign of the) group velocities. On the other side, the Sommerfeld radiation condition implies limitations on the wave phase velocity and is, in fact, not applicable in the context of piezo-elastic wave guides. We analyze the passage to the limit when the piezo-electric moduli tend to zero in certain regions yielding purely elastic inclusions there. We provide a number of examples, e.g. elastic and acoustic waveguides as well as purely elastic insulating and conducting inclusions.

AB - We develop and investigate radiation conditions at infinity for composite piezo-elastic waveguides. The approach is based on the Mandelstam radiation principle according to which the energy flux at infinity is directed away from the source and which implies constraints on the (sign of the) group velocities. On the other side, the Sommerfeld radiation condition implies limitations on the wave phase velocity and is, in fact, not applicable in the context of piezo-elastic wave guides. We analyze the passage to the limit when the piezo-electric moduli tend to zero in certain regions yielding purely elastic inclusions there. We provide a number of examples, e.g. elastic and acoustic waveguides as well as purely elastic insulating and conducting inclusions.

KW - Asymptotic decomposition

KW - Detached asymptotics

KW - Limited absorption principle

KW - Mandelstam principle

KW - Piezo-elasticity

KW - Piezo-electricity

KW - Sommerfeld principle

KW - Umov-Poynting vector

KW - Waveguide

UR - http://www.scopus.com/inward/record.url?scp=85059879111&partnerID=8YFLogxK

U2 - 10.3233/ASY-181487

DO - 10.3233/ASY-181487

M3 - Article

AN - SCOPUS:85059879111

VL - 111

SP - 69

EP - 111

JO - Asymptotic Analysis

JF - Asymptotic Analysis

SN - 0921-7134

IS - 2

ER -

ID: 40973145