Pulse Dynamics of Flexural Waves in Transformed Plates

Kun Tang; Chenni Xu; Sébastien Guenneau; Patrick Sebbah

doi:10.1002/adfm.202009266

Pulse Dynamics of Flexural Waves in Transformed Plates

Kun Tang
, Chenni Xu
, Sébastien Guenneau
, Patrick Sebbah

Department of Physics - at Bar-Ilan University

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

7 Scopus citations

Abstract

Coordinate-transformation-inspired optical devices have been mostly examined in the continuous-wave regime: the performance of an invisibility cloak, which has been demonstrated for monochromatic excitation, is likely to deteriorate for short pulses. Here, pulse dynamics of flexural waves propagating in transformed plates is investigated. A practical realization of a waveshifter and a rotator for flexural waves based on the coordinate transformation method is proposed. Time-resolved measurements reveal how the waveshifter deviates a short pulse from its initial trajectory, with no reflection at the bend and no spatial and temporal distortion of the pulse. Extending the strategy to cylindrical coordinates, a wave rotator is designed. It is demonstrated experimentally how a pulsed plane wave is twisted inside the rotator, while its wavefront is recovered behind the rotator and the pulse shape is preserved, with no extra time delay. The realization of the dynamical mirage effect is proposed, where an obstacle appears oriented in a deceptive direction.

Original language	English
Article number	2009266
Journal	Advanced Functional Materials
Volume	31
Issue number	15
Early online date	21 Feb 2021
DOIs	https://doi.org/10.1002/adfm.202009266
State	Published - 8 Apr 2021

Bibliographical note

Publisher Copyright:
© 2021 Wiley-VCH GmbH

Funding

The authors thank Agnes Maurel from the Langevin Institute, ESPCI‐CNRS, for fruitful discussions on homogenization of elastic systems, Avi Cohen from X‐jet for the waveshifter fabrication, and Shai Ingber from SU‐PAD for the rotator fabrication. This research was supported in part by The Israel Science Foundation (Grants No. 1871/15, 2074/15 and 2630/20) and the United States‐Israel Binational Science Foundation NSF/BSF (Grant No. 2015694). P. S. is thankful to the CNRS support under grant PICS‐ALAMO. The authors thank Agnes Maurel from the Langevin Institute, ESPCI-CNRS, for fruitful discussions on homogenization of elastic systems, Avi Cohen from X-jet for the waveshifter fabrication, and Shai Ingber from SU-PAD for the rotator fabrication. This research was supported in part by The Israel Science Foundation (Grants No. 1871/15, 2074/15 and 2630/20) and the United States-Israel Binational Science Foundation NSF/BSF (Grant No. 2015694). P. S. is thankful to the CNRS support under grant PICS-ALAMO.

Funders	Funder number
ESPCI-CNRS
Langevin Institute
United States-Israel Binational Science Foundation	2015694
Israel Science Foundation	2074/15, 1871/15, 2630/20
Centre National de la Recherche Scientifique	PICS‐ALAMO

Keywords

cloaking
homogenization
mechanical metamaterials
mirage effect
pulse dynamics
transformation elastodynamics
waveguide modes

Access to Document

10.1002/adfm.202009266

Cite this

@article{c5f7a30db58f4fec9cfd6630253eeb9a,

title = "Pulse Dynamics of Flexural Waves in Transformed Plates",

abstract = "Coordinate-transformation-inspired optical devices have been mostly examined in the continuous-wave regime: the performance of an invisibility cloak, which has been demonstrated for monochromatic excitation, is likely to deteriorate for short pulses. Here, pulse dynamics of flexural waves propagating in transformed plates is investigated. A practical realization of a waveshifter and a rotator for flexural waves based on the coordinate transformation method is proposed. Time-resolved measurements reveal how the waveshifter deviates a short pulse from its initial trajectory, with no reflection at the bend and no spatial and temporal distortion of the pulse. Extending the strategy to cylindrical coordinates, a wave rotator is designed. It is demonstrated experimentally how a pulsed plane wave is twisted inside the rotator, while its wavefront is recovered behind the rotator and the pulse shape is preserved, with no extra time delay. The realization of the dynamical mirage effect is proposed, where an obstacle appears oriented in a deceptive direction.",

keywords = "cloaking, homogenization, mechanical metamaterials, mirage effect, pulse dynamics, transformation elastodynamics, waveguide modes",

author = "Kun Tang and Chenni Xu and S{\'e}bastien Guenneau and Patrick Sebbah",

note = "Publisher Copyright: {\textcopyright} 2021 Wiley-VCH GmbH",

year = "2021",

month = apr,

day = "8",

doi = "10.1002/adfm.202009266",

language = "אנגלית",

volume = "31",

journal = "Advanced Functional Materials",

issn = "1616-301X",

publisher = "John Wiley and Sons Inc.",

number = "15",

}

TY - JOUR

T1 - Pulse Dynamics of Flexural Waves in Transformed Plates

AU - Tang, Kun

AU - Xu, Chenni

AU - Guenneau, Sébastien

AU - Sebbah, Patrick

PY - 2021/4/8

Y1 - 2021/4/8

N2 - Coordinate-transformation-inspired optical devices have been mostly examined in the continuous-wave regime: the performance of an invisibility cloak, which has been demonstrated for monochromatic excitation, is likely to deteriorate for short pulses. Here, pulse dynamics of flexural waves propagating in transformed plates is investigated. A practical realization of a waveshifter and a rotator for flexural waves based on the coordinate transformation method is proposed. Time-resolved measurements reveal how the waveshifter deviates a short pulse from its initial trajectory, with no reflection at the bend and no spatial and temporal distortion of the pulse. Extending the strategy to cylindrical coordinates, a wave rotator is designed. It is demonstrated experimentally how a pulsed plane wave is twisted inside the rotator, while its wavefront is recovered behind the rotator and the pulse shape is preserved, with no extra time delay. The realization of the dynamical mirage effect is proposed, where an obstacle appears oriented in a deceptive direction.

AB - Coordinate-transformation-inspired optical devices have been mostly examined in the continuous-wave regime: the performance of an invisibility cloak, which has been demonstrated for monochromatic excitation, is likely to deteriorate for short pulses. Here, pulse dynamics of flexural waves propagating in transformed plates is investigated. A practical realization of a waveshifter and a rotator for flexural waves based on the coordinate transformation method is proposed. Time-resolved measurements reveal how the waveshifter deviates a short pulse from its initial trajectory, with no reflection at the bend and no spatial and temporal distortion of the pulse. Extending the strategy to cylindrical coordinates, a wave rotator is designed. It is demonstrated experimentally how a pulsed plane wave is twisted inside the rotator, while its wavefront is recovered behind the rotator and the pulse shape is preserved, with no extra time delay. The realization of the dynamical mirage effect is proposed, where an obstacle appears oriented in a deceptive direction.

KW - cloaking

KW - homogenization

KW - mechanical metamaterials

KW - mirage effect

KW - pulse dynamics

KW - transformation elastodynamics

KW - waveguide modes

UR - https://www.scopus.com/pages/publications/85100846481

U2 - 10.1002/adfm.202009266

DO - 10.1002/adfm.202009266

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85100846481

SN - 1616-301X

VL - 31

JO - Advanced Functional Materials

JF - Advanced Functional Materials

IS - 15

M1 - 2009266

ER -

Pulse Dynamics of Flexural Waves in Transformed Plates

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this