Point source in a phononic grating: stop bands give rise to phonon-focusing caustics

We use locally-excited gigahertz surface phonon wavepackets in microscopic line structures of different pitches to reveal profound anisotropy in the radiation pattern of a point source in a grating. Time-domain data obtained by an ultrafast optical imaging technique and by numerical simulations are...

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Main Authors: Istvan A Veres, Dieter M Profunser, Alex A Maznev, Arthur G Every, Osamu Matsuda, Oliver B Wright
Format: Article
Language:English
Published: IOP Publishing 2012-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/14/12/123015
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author Istvan A Veres
Dieter M Profunser
Alex A Maznev
Arthur G Every
Osamu Matsuda
Oliver B Wright
author_facet Istvan A Veres
Dieter M Profunser
Alex A Maznev
Arthur G Every
Osamu Matsuda
Oliver B Wright
author_sort Istvan A Veres
collection DOAJ
description We use locally-excited gigahertz surface phonon wavepackets in microscopic line structures of different pitches to reveal profound anisotropy in the radiation pattern of a point source in a grating. Time-domain data obtained by an ultrafast optical imaging technique and by numerical simulations are Fourier transformed to obtain frequency-filtered real-space acoustic field patterns and k -space phononic band structure. The numerically-obtained k -space images are processed to reveal an intriguing double-horn structure in the lowest-order group-velocity surface, which explains the observed non-propagation sectors bounded by caustics, noted at frequencies above the bottom of the first stop band. We account for these phonon-focusing effects, analogous to collimation effects previously observed in two- and three-dimensional lattices, with a simple analytical model of the band structure based on a plane wave expansion. As the frequency is increased, a transition to dominant waveguiding effects along the lines is also documented.
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spelling doaj.art-3d57952b22064360b6185a727a8e45d72023-08-08T11:08:57ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141212301510.1088/1367-2630/14/12/123015Point source in a phononic grating: stop bands give rise to phonon-focusing causticsIstvan A Veres0Dieter M Profunser1Alex A Maznev2Arthur G Every3Osamu Matsuda4Oliver B Wright5Department of Electronic and Electrical Engineering, Centre for Ultrasonic Engineering, University of Strathclyde , Glasgow G1 1XW, UKDivision of Applied Physics, Faculty of Engineering, Hokkaido University , Sapporo 060-8628, JapanDepartment of Chemistry, Massachusetts Institute of Technology , Cambridge, MA 02139, USASchool of Physics, University of the Witwatersrand , PO Wits 2050, Johannesburg, South AfricaDivision of Applied Physics, Faculty of Engineering, Hokkaido University , Sapporo 060-8628, JapanDivision of Applied Physics, Faculty of Engineering, Hokkaido University , Sapporo 060-8628, JapanWe use locally-excited gigahertz surface phonon wavepackets in microscopic line structures of different pitches to reveal profound anisotropy in the radiation pattern of a point source in a grating. Time-domain data obtained by an ultrafast optical imaging technique and by numerical simulations are Fourier transformed to obtain frequency-filtered real-space acoustic field patterns and k -space phononic band structure. The numerically-obtained k -space images are processed to reveal an intriguing double-horn structure in the lowest-order group-velocity surface, which explains the observed non-propagation sectors bounded by caustics, noted at frequencies above the bottom of the first stop band. We account for these phonon-focusing effects, analogous to collimation effects previously observed in two- and three-dimensional lattices, with a simple analytical model of the band structure based on a plane wave expansion. As the frequency is increased, a transition to dominant waveguiding effects along the lines is also documented.https://doi.org/10.1088/1367-2630/14/12/123015
spellingShingle Istvan A Veres
Dieter M Profunser
Alex A Maznev
Arthur G Every
Osamu Matsuda
Oliver B Wright
Point source in a phononic grating: stop bands give rise to phonon-focusing caustics
New Journal of Physics
title Point source in a phononic grating: stop bands give rise to phonon-focusing caustics
title_full Point source in a phononic grating: stop bands give rise to phonon-focusing caustics
title_fullStr Point source in a phononic grating: stop bands give rise to phonon-focusing caustics
title_full_unstemmed Point source in a phononic grating: stop bands give rise to phonon-focusing caustics
title_short Point source in a phononic grating: stop bands give rise to phonon-focusing caustics
title_sort point source in a phononic grating stop bands give rise to phonon focusing caustics
url https://doi.org/10.1088/1367-2630/14/12/123015
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