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Invisibility and perfect reflectivity in waveguides with finite length branches. / Chesnel, Lucas; Nazarov, Sergei A.; Pagneux, Vincent.

In: SIAM Journal on Applied Mathematics, Vol. 78, No. 4, 01.01.2018, p. 2176-2199.

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

Harvard

Chesnel, L, Nazarov, SA & Pagneux, V 2018, 'Invisibility and perfect reflectivity in waveguides with finite length branches', SIAM Journal on Applied Mathematics, vol. 78, no. 4, pp. 2176-2199. https://doi.org/10.1137/17M1149183

APA

Chesnel, L., Nazarov, S. A., & Pagneux, V. (2018). Invisibility and perfect reflectivity in waveguides with finite length branches. SIAM Journal on Applied Mathematics, 78(4), 2176-2199. https://doi.org/10.1137/17M1149183

Vancouver

Chesnel L, Nazarov SA, Pagneux V. Invisibility and perfect reflectivity in waveguides with finite length branches. SIAM Journal on Applied Mathematics. 2018 Jan 1;78(4):2176-2199. https://doi.org/10.1137/17M1149183

Author

Chesnel, Lucas ; Nazarov, Sergei A. ; Pagneux, Vincent. / Invisibility and perfect reflectivity in waveguides with finite length branches. In: SIAM Journal on Applied Mathematics. 2018 ; Vol. 78, No. 4. pp. 2176-2199.

BibTeX

@article{060e021ed37a41918e6fc2455f97348d,
title = "Invisibility and perfect reflectivity in waveguides with finite length branches",
abstract = "We consider a time-harmonic wave problem, appearing, for example, in water-wave theory, in acoustics, or in electromagnetism, in a setting such that the analysis reduces to the study of a 2D waveguide problem with a Neumann boundary condition. The geometry is symmetric with respect to an axis orthogonal to the direction of propagation of waves. Moreover, the waveguide contains one branch of finite length. We analyze the behavior of the complex scattering coefficients R, T as the length of the branch increases, and we show how to design geometries where nonreflectivity (R = 0, |T| = 1), perfect reflectivity (|R| = 1, T = 0), or perfect invisibility (R = 0, T = 1) holds. Numerical experiments illustrate the different results.",
keywords = "Asymptotic analysis, Invisibility, Nonreflectivity, Perfect reflectivity, Scattering matrix, Waveguides",
author = "Lucas Chesnel and Nazarov, {Sergei A.} and Vincent Pagneux",
year = "2018",
month = jan,
day = "1",
doi = "10.1137/17M1149183",
language = "English",
volume = "78",
pages = "2176--2199",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics",
number = "4",

}

RIS

TY - JOUR

T1 - Invisibility and perfect reflectivity in waveguides with finite length branches

AU - Chesnel, Lucas

AU - Nazarov, Sergei A.

AU - Pagneux, Vincent

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We consider a time-harmonic wave problem, appearing, for example, in water-wave theory, in acoustics, or in electromagnetism, in a setting such that the analysis reduces to the study of a 2D waveguide problem with a Neumann boundary condition. The geometry is symmetric with respect to an axis orthogonal to the direction of propagation of waves. Moreover, the waveguide contains one branch of finite length. We analyze the behavior of the complex scattering coefficients R, T as the length of the branch increases, and we show how to design geometries where nonreflectivity (R = 0, |T| = 1), perfect reflectivity (|R| = 1, T = 0), or perfect invisibility (R = 0, T = 1) holds. Numerical experiments illustrate the different results.

AB - We consider a time-harmonic wave problem, appearing, for example, in water-wave theory, in acoustics, or in electromagnetism, in a setting such that the analysis reduces to the study of a 2D waveguide problem with a Neumann boundary condition. The geometry is symmetric with respect to an axis orthogonal to the direction of propagation of waves. Moreover, the waveguide contains one branch of finite length. We analyze the behavior of the complex scattering coefficients R, T as the length of the branch increases, and we show how to design geometries where nonreflectivity (R = 0, |T| = 1), perfect reflectivity (|R| = 1, T = 0), or perfect invisibility (R = 0, T = 1) holds. Numerical experiments illustrate the different results.

KW - Asymptotic analysis

KW - Invisibility

KW - Nonreflectivity

KW - Perfect reflectivity

KW - Scattering matrix

KW - Waveguides

UR - http://www.scopus.com/inward/record.url?scp=85052941026&partnerID=8YFLogxK

U2 - 10.1137/17M1149183

DO - 10.1137/17M1149183

M3 - Article

AN - SCOPUS:85052941026

VL - 78

SP - 2176

EP - 2199

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 4

ER -

ID: 40973651