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WAVE MOTION An International Journal Reporting Research on Wave Phenomena Editor-in-Chief A.N. Norris, Department of Mechanical and Aerospace Engineering. School of Engineering, Rutgers University, 98 Brett Rd. Piscataway, NJ 08854, USA. E-mail: [email protected] Board of Editors T.R. Akylaˇ s, (Nonlinear wave and instability phenomena), Dept. of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA. E-mail: [email protected] V.I. Alshits, (Wave propagation in crystals and anisotropic and inhomogenous media) Institute of Crystallography, Russian Academy of Science, 59 Leninsky pr., Moscow 117333, Russia. Tel: +7 095 330-8274. Fax: +7 095 135-1011. E-mail: [email protected] V.M. Babic, (Mathematical aspects of the theory of linear waves), Mathematical Institute of the Russian Acad. Sci., 27 Fontanka, St. Petersburg 191011, Russian Federation. E-mail: [email protected] K.W. Chow, (Waves in fluids), University of Hong Kong, Department of Mechanical Engineering, Pokfulam, Hong Kong. E-mail: [email protected] J.-M. Conoir, (Elastic and acoustic wave problems), Universite Pierre et Marie Curie (UPMC), Institut Jean Le Rond d’ Alembert, UMR 7190, Universite Paris 06, F-75005 Paris, France. E-mail: [email protected] R. Craster, (Mathematical techniques/Diffraction/Guided Waves/Water Waves), Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1 Canada. E-mail: [email protected] A.T. de Hoop, (Mathematical techniques in linear acoustic, elastic and electromagnetic wave problems), Dept. of Electrical Engineering, Technological University of Delft, Mekelweg 4, Delft, The Netherlands. E-mail: A.T. [email protected] J. Dual, (Wave propagation and Vibrations in Solids and Fluids/Micro- and Nanosystems/Experimental Mechanics/Ultrasonic Particle Manipulation), Institute of Mechanical Systems, CLA J23.2, ETH Zentrum, 8092 Z ¨ urich, Switzerland. E-mail: juerg.dual@imes. mavt.ethz.ch M. Fink, (Acoustics/Imaging), ESPCI, Universit ´ e Paris VII, Laboratoire Ondes et Acoustique, 10 Rue Vauquelin, F-75231 Paris Cedex, France. Tel.: +33 1458 70188, Fax: +33 1 407 94468. E-mail: mathias.fi[email protected] D. Givoli, (Numerical methods in wave propagation), Department of Aerospace Engineering,Technion – Israel Institute of Technology, Haifa 32000, Israel. Tel: +972-4-829-3814, Fax: +972-823-1848. E-mail: [email protected] R. Grimshaw, (Solitons and related issues of waves propagation in Fluids), Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE113TU, UK. E-mail: [email protected] T.M. Habashy, (Electromagnetic Theory, inverse scattering), Schlumberger-Doll Research, One Hampshire Street, MD 253 Cambridge, MA 02139-1578, USA. E-mail: [email protected] P. Johnson, (Non-linear acoustics, time reversal acoustics), Los Alamos National Laboratory, Earth & Environmental Sciences: Geophysics Group, Los Alamos, NM, USA. E-mail: [email protected] W.L. Kath, (Nonlinear optics, optical fibers and solitons), Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA. E-mail: [email protected] G. Kristensson, (Direct and inverse electromagnetic scattering problems/Wave propagation problems in complex materials and periodic structures), Dept. of Electromagnetic Theory, Lund University of Technology, S-22100 Lund, Sweden. E-mail: [email protected] G.A. Maugin, (Nonlinear waves in deformable solids/Waves in electromagnetic elasticity/Surface waves on solids), Laboratoire de ecanique Th ´ eorique, Universit ´ e Pierre et Marie Curie, 4 Place Jussieu, Paris Cedex 05, France. E-mail: [email protected] J. Park, 17 Haengdang dong, Sungdong gu, Seoul, 133-791, Korea. E-mail: [email protected] W.J. Parnell, School of Mathematics, Alan Turing Building, University of Manchester, Oxford Road, Manchester, M13 9PL, UK. E-mail: [email protected] P. Podio-Guidugli, (Waves in elastic solids and structures), Universita di Roma Tor Vergata Via di Tor Vergata 110, 1-00133, Rome, Italy. E-mail: [email protected] N. Sugimoto, (Non-linear waves in solids and fluids), Department of Mechanical Science, University of Osaka, Toyonaka, Osaka 560- 8531, Japan. E-mail: [email protected] Y. Tanaka, (Surface guided waves/Waves on phononic crystals), Department of Applied Physics, Hokkaido University, Kita 13 Nishi 8, Kita-ku, Sapporo, Hokkaido 060-8628, Japan. E-mail: [email protected] J.R. Willis, (Elastodynamics), Dept. of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB30WA, UK. E-mail: [email protected] H.L. Zhang, (Theory of acoustic and elastic waves/numerical methods), Institute of Acoustics, Chinese Academy of Sciences, 21 Beisihuanxilu, Beijing 100080, China. E-mail: [email protected] Abstracted/indexed in: Current Contents: Physical, Chemical and Earth Sciences, Applied Mechanics Reviews, INSPEC, EI Compendex Plus, Engineering Index, Aquatic Science and Fisheries Abstracts-Part 2, Oceanic Abstracts, Mathematical Reviews, Math Sci. Also covered in the abstract and citation database SciVerse SCOPUS R . Full text available on SciVerse ScienceDirect R . Publication information: Wave Motion (ISSN 0165-2125). For 2013, Volume 50 is scheduled for publication. Subscription prices are available upon request from the Publisher or from the Elsevier Customer Service Department nearest you or from this journal’s website (http://www.elsevier.com/locate/wamot). Further information is available on this journal and other Elsevier products through Elsevier’s website: (http://www.elsevier.com). Subscriptions are accepted on a prepaid basis only and are entered on a calendar year basis. Issues are sent by standard mail (surface within Europe, air delivery outside Europe). Priority rates are available upon request. Claims for missing issues should be made within six months of the date of dispatch.

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WAVE MOTIONAn International JournalReporting Research on Wave Phenomena

Editor-in-ChiefA.N. Norris, Department of Mechanical and Aerospace Engineering. School of Engineering, Rutgers University, 98 Brett Rd.Piscataway, NJ 08854, USA. E-mail: [email protected]

Board of Editors

T.R. Akylas, (Nonlinear wave and instability phenomena), Dept. of Mechanical Engineering, Massachusetts Institute of Technology,Cambridge, MA 02139, USA. E-mail: [email protected]. Alshits, (Wave propagation in crystals and anisotropic and inhomogenous media) Institute of Crystallography, Russian Academy ofScience, 59 Leninsky pr., Moscow 117333, Russia. Tel: +7 095 330-8274. Fax: +7 095 135-1011. E-mail: [email protected]. Babic, (Mathematical aspects of the theory of linear waves), Mathematical Institute of the Russian Acad. Sci., 27 Fontanka,St. Petersburg 191011, Russian Federation. E-mail: [email protected]. Chow, (Waves in fluids), University of Hong Kong, Department of Mechanical Engineering, Pokfulam, Hong Kong. E-mail:[email protected]. Conoir, (Elastic and acoustic wave problems), Universite Pierre et Marie Curie (UPMC), Institut Jean Le Rond d’ Alembert, UMR7190, Universite Paris 06, F-75005 Paris, France. E-mail: conoi[email protected]. Craster, (Mathematical techniques/Diffraction/Guided Waves/Water Waves), Department of Mathematical and Statistical Sciences,University of Alberta, Edmonton, Alberta T6G 2G1 Canada. E-mail: [email protected]. de Hoop, (Mathematical techniques in linear acoustic, elastic and electromagnetic wave problems), Dept. of Electrical Engineering,Technological University of Delft, Mekelweg 4, Delft, The Netherlands. E-mail: A.T. [email protected]. Dual, (Wave propagation and Vibrations in Solids and Fluids/Micro- and Nanosystems/Experimental Mechanics/UltrasonicParticle Manipulation), Institute of Mechanical Systems, CLA J23.2, ETH Zentrum, 8092 Zurich, Switzerland. E-mail: [email protected]. Fink, (Acoustics/Imaging), ESPCI, Universite Paris VII, Laboratoire Ondes et Acoustique, 10 Rue Vauquelin, F-75231 Paris Cedex,France. Tel.: +33 1458 70188, Fax: +33 1 407 94468. E-mail: [email protected]. Givoli, (Numerical methods in wave propagation), Department of Aerospace Engineering,Technion – Israel Institute of Technology,Haifa 32000, Israel. Tel: +972-4-829-3814, Fax: +972-823-1848. E-mail: [email protected]. Grimshaw, (Solitons and related issues of waves propagation in Fluids), Department of Mathematical Sciences, LoughboroughUniversity, Loughborough, Leicestershire LE113TU, UK. E-mail: [email protected]. Habashy, (Electromagnetic Theory, inverse scattering), Schlumberger-Doll Research, One Hampshire Street, MD 253 Cambridge,MA 02139-1578, USA. E-mail: [email protected]. Johnson, (Non-linear acoustics, time reversal acoustics), Los Alamos National Laboratory, Earth & Environmental Sciences:Geophysics Group, Los Alamos, NM, USA. E-mail: [email protected]. Kath, (Nonlinear optics, optical fibers and solitons), Department of Engineering Sciences and Applied Mathematics,Northwestern University, Evanston, IL 60208, USA. E-mail: [email protected]. Kristensson, (Direct and inverse electromagnetic scattering problems/Wave propagation problems in complex materialsand periodic structures), Dept. of Electromagnetic Theory, Lund University of Technology, S-22100 Lund, Sweden.E-mail: [email protected]. Maugin, (Nonlinear waves in deformable solids/Waves in electromagnetic elasticity/Surface waves on solids), Laboratoire deMecanique Theorique, Universite Pierre et Marie Curie, 4 Place Jussieu, Paris Cedex 05, France. E-mail: [email protected]. Park, 17 Haengdang dong, Sungdong gu, Seoul, 133-791, Korea. E-mail: [email protected]. Parnell, School of Mathematics, Alan Turing Building, University of Manchester, Oxford Road, Manchester, M13 9PL, UK. E-mail:[email protected]. Podio-Guidugli, (Waves in elastic solids and structures), Universita di Roma Tor Vergata Via di Tor Vergata 110, 1-00133, Rome,Italy. E-mail: [email protected]. Sugimoto, (Non-linear waves in solids and fluids), Department of Mechanical Science, University of Osaka, Toyonaka, Osaka 560-8531, Japan. E-mail: [email protected]. Tanaka, (Surface guided waves/Waves on phononic crystals), Department of Applied Physics, Hokkaido University, Kita 13 Nishi 8,Kita-ku, Sapporo, Hokkaido 060-8628, Japan. E-mail: [email protected]. Willis, (Elastodynamics), Dept. of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road,Cambridge CB30WA, UK. E-mail: [email protected]. Zhang, (Theory of acoustic and elastic waves/numerical methods), Institute of Acoustics, Chinese Academy of Sciences, 21Beisihuanxilu, Beijing 100080, China. E-mail: [email protected]

Abstracted/indexed in: Current Contents: Physical, Chemical and Earth Sciences, Applied Mechanics Reviews, INSPEC, EICompendex Plus, Engineering Index, Aquatic Science and Fisheries Abstracts-Part 2, Oceanic Abstracts, Mathematical Reviews,Math Sci. Also covered in the abstract and citation database SciVerse SCOPUS R©. Full text available on SciVerse ScienceDirect R©.Publication information: Wave Motion (ISSN 0165-2125). For 2013, Volume 50 is scheduled for publication. Subscription prices areavailable upon request from the Publisher or from the Elsevier Customer Service Department nearest you or from this journal’s website(http://www.elsevier.com/locate/wamot). Further information is available on this journal and other Elsevier products through Elsevier’swebsite: (http://www.elsevier.com). Subscriptions are accepted on a prepaid basis only and are entered on a calendar year basis.Issues are sent by standard mail (surface within Europe, air delivery outside Europe). Priority rates are available upon request. Claimsfor missing issues should be made within six months of the date of dispatch.