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Volumn 97, Issue 2, 2011, Pages 284-290

Application of dirichlet-to-neumann map to calculation of band gaps for scalar waves in two-dimensional phononic crystals

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY FREQUENCIES; BAND GAPS; COMPUTING COST; DIRICHLET-TO-NEUMANN; DIRICHLET-TO-NEUMANN MAP; HIGHER FREQUENCIES; HOST MEDIUMS; NUMERICAL RESULTS; PLANE WAVE EXPANSION METHOD; SCALAR WAVES; TRIANGULAR LATTICE; TWO-DIMENSIONAL PHONONIC CRYSTALS;

EID: 79952170324     PISSN: 16101928     EISSN: None     Source Type: Journal    
DOI: 10.3813/AAA.918408     Document Type: Article
Times cited : (21)

References (28)
  • 1
    • 3242887087 scopus 로고
    • Acoustic band structure of periodic elastic composites
    • M. S. Kushwaha, P. Halevi: Acoustic band structure of periodic elastic composites. Phys. Rev. Lett. 71 (1993) 2022-2025.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 2022-2025
    • Kushwaha, M.S.1    Halevi, P.2
  • 2
    • 0026941042 scopus 로고
    • Elastic and acoustic wave band structure
    • DOI 10.1016/0022-460X(92)90059-7
    • M. M. Sigalas, E. N. Economou: Elastic and acoustic wave band structure. J. Sound. Vib. 158 (1992) 377-382. (Pubitemid 23576287)
    • (1992) Journal of Sound and Vibration , vol.158 , Issue.2 , pp. 377-382
    • Sigalas, M.M.1    Economou, E.N.2
  • 3
    • 2142805960 scopus 로고    scopus 로고
    • Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy
    • T. T. Wu, Z. G. Huang, S. Lin: Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy. Phys. Rev. B 69 (2004) 094301.
    • (2004) Phys. Rev. B , vol.69 , pp. 094301
    • Wu, T.T.1    Huang, Z.G.2    Lin, S.3
  • 4
    • 0001319513 scopus 로고
    • Transverse elastic waves in periodically layered infinite and semi-infinite media
    • R. E. Camley, B. Djafari-Rouhani, L. Dobrzynski: Transverse elastic waves in periodically layered infinite and semi-infinite media. Phys. Rev. B 27 (1983) 7318-7329.
    • (1983) Phys. Rev. B , vol.27 , pp. 7318-7329
    • Camley, R.E.1    Djafari-Rouhani, B.2    Dobrzynski, L.3
  • 5
    • 0001694079 scopus 로고    scopus 로고
    • Multiple-scattering theory for three-dimensional periodic acoustic composites
    • M. Kafesaki, E. N. Economou: Multiple-scattering theory for three-dimensional periodic acoustic composites. Phys. Rev. B 60 (1999) 11993-12001.
    • (1999) Phys. Rev. B , vol.60 , pp. 11993-12001
    • Kafesaki, M.1    Economou, E.N.2
  • 6
    • 21044454866 scopus 로고    scopus 로고
    • Multiple-scattering theory for out-of-plane propagation of elastic waves in two-dimensional phononic crystals
    • DOI 10.1088/0953-8984/17/25/003, PII S095389840596579X
    • J. Mei, C. Qiu, Z. Liu: Multiple-scattering theory for outof- plane propagation of elastic waves in two-dimensional phononic crystals. J. Phys-condens. Mater 17 (2005) 3735-3757. (Pubitemid 40872041)
    • (2005) Journal of Physics Condensed Matter , vol.17 , Issue.25 , pp. 3735-3757
    • Mei, J.1    Liu, Z.2    Qiu, C.3
  • 7
    • 0006078242 scopus 로고    scopus 로고
    • An efficient finite element method for computing spectra of photonic and acoustic band-gap materials I. Scalar case
    • W. Axmann, P. Kuchment: An efficient finite element method for computing spectra of photonic and acoustic band-gap materials. I. Scalar case. J. Comput. Phys 150 (1999) 468-481.
    • (1999) J. Comput. Phys , vol.150 , pp. 468-481
    • Axmann, W.1    Kuchment, P.2
  • 8
    • 67649376111 scopus 로고    scopus 로고
    • Finite element method for analysis of band structures of phononic crystals
    • Ultrasonics Symp 1-4
    • J. B. Li, Y. S. Wang, C. Zhang: Finite element method for analysis of band structures of phononic crystals. Proc. 2008 IEEE Inter. Ultrasonics Symp 1-4, 2008, 1468-1471.
    • (2008) Proc. 2008 IEEE Inter , pp. 1468-1471
    • Li, J.B.1    Wang, Y.S.2    Zhang, C.3
  • 9
    • 0034345540 scopus 로고    scopus 로고
    • Analytical and numerical studies of a finite element PML for the Helmholtz equation
    • I. Harari, M. Slavutin, E. Turkel: Analytical and numerical studies of a finite element PML for the Helmholtz equation. J. Comput. Acoustics (2000) 8121-8137.
    • (2000) J. Comput. Acoustics , pp. 8121-8137
    • Harari, I.1    Slavutin, M.2    Turkel, E.3
  • 10
    • 46149120565 scopus 로고    scopus 로고
    • Wavelet-based method for computing elastic band gaps of one-dimensional phononic crystals
    • Z. Z. Yan, Y. S. Wang: Wavelet-based method for computing elastic band gaps of one-dimensional phononic crystals. Sci. China- Phys. Mech. Astron 50 (2007) 622-630.
    • (2007) Sci. China- Phys. Mech. Astron , vol.50 , pp. 622-630
    • Yan, Z.Z.1    Wang, Y.S.2
  • 11
    • 33845776228 scopus 로고    scopus 로고
    • Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals
    • Z. Z. Yan, Y. S. Wang: Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals. Phys. Rev. B 74 (2006) 224303.
    • (2006) Phys. Rev. B , vol.74 , pp. 224303
    • Yan, Z.Z.1    Wang, Y.S.2
  • 12
    • 37649031655 scopus 로고    scopus 로고
    • Lumped-mass method for the study of band structure in two-dimensional phononic crystals
    • G. Wang, J. H. Wen, Y. Z. Liu: Lumped-mass method for the study of band structure in two-dimensional phononic crystals. Phys. Rev. B 69 (2004) 184302.
    • (2004) Phys. Rev. B , vol.69 , pp. 184302
    • Wang, G.1    Wen, J.H.2    Liu, Y.Z.3
  • 13
    • 67649387118 scopus 로고    scopus 로고
    • Band gap analysis of two-dimensional phononic crystals based on boundary element method
    • Ultrasonics Symp 1-4
    • F. L. Li, Y. S. Wang: Band gap analysis of two-dimensional phononic crystals based on boundary element method. Proc. 2008 IEEE Inter. Ultrasonics Symp 1-4, 2008, 245-248.
    • (2008) Proc. 2008 IEEE Inter , pp. 245-248
    • Li, F.L.1    Wang, Y.S.2
  • 14
    • 0034664461 scopus 로고    scopus 로고
    • Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch
    • DOI 10.1103/PhysRevB.62.7387
    • Y. Tanaka, Y. Tomoyasu: Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch. Phys. Rev. B 62 (2000) 7387-7392. (Pubitemid 32323636)
    • (2000) Physical Review B - Condensed Matter and Materials Physics , vol.62 , Issue.11 , pp. 7387-7392
    • Tanaka, Y.1    Tomoyasu, Y.2    Tamura, S.-I.3
  • 15
    • 3042549880 scopus 로고    scopus 로고
    • Finite difference time domain method for the study of band gap in two-dimensional phononic crystals
    • G. Wang, J. H. Wen, X. Y. Han: Finite difference time domain method for the study of band gap in two-dimensional phononic crystals. Chinese. Phys. Lett. 52 (2003) 1943-1947.
    • (2003) Chinese. Phys. Lett. , vol.52 , pp. 1943-1947
    • Wang, G.1    Wen, J.H.2    Han, X.Y.3
  • 17
    • 33847657400 scopus 로고    scopus 로고
    • Computing photonic band structures by Dirichlet-to-Neumann maps: The triangular lattice
    • DOI 10.1016/j.optcom.2007.01.005, PII S0030401807000272
    • J. H. Yuan, Y. Y. Lu: Computing photonic band structures by Dirichlet-to-Neumann maps: The triangular lattice. Opt. Commu. 273 (2007) 114-120. (Pubitemid 46367102)
    • (2007) Optics Communications , vol.273 , Issue.1 , pp. 114-120
    • Yuan, J.1    Lu, Y.Y.2
  • 18
    • 0034345532 scopus 로고    scopus 로고
    • Efficient computation of multifrequency far-field solutions of the Helmholtz equation using Padé approximation
    • M. Malhotra, P. M. Pinsky: Efficient computation of multifrequency far-field solutions of the Helmholtz equation using Padé approximation. J. Comput. Acoustics 8 (2000) 223-240.
    • (2000) J. Comput. Acoustics , vol.8 , pp. 223-240
    • Malhotra, M.1    Pinsky, P.M.2
  • 19
    • 7444267889 scopus 로고    scopus 로고
    • Validity of one-way models in the weak range dependence limit
    • DOI 10.1142/S0218396X0400216X
    • J. Zhu, Y. Y. Lu: Validity of one-way models in the weak range dependence limit. J. Comput. Acoustics 12 (2004) 55-66. (Pubitemid 39442870)
    • (2004) Journal of Computational Acoustics , vol.12 , Issue.1 , pp. 55-66
    • Zhu, J.1    Lu, Y.Y.2
  • 20
    • 37249027815 scopus 로고    scopus 로고
    • Near- and far-field boundary conditions for a finite element method for the Helmholtz equation in axisymmetric problems of underwater acoustics
    • D. A. Mitsoudis: Near-and far-field boundary conditions for a finite element method for the Helmholtz equation in in axisymmetric problems of underwater acoustics. Acta Acustica united with Acustica 93 (2007) 888-898. (Pubitemid 350280842)
    • (2007) Acta Acustica united with Acustica , vol.93 , Issue.6 , pp. 888-898
    • Mitsoudis, D.A.1
  • 21
    • 42149106269 scopus 로고    scopus 로고
    • A coupled FE and DtN mapping method for the exterior problem of the helmholtz equation in an oceanic waveguide
    • DOI 10.3813/AAA.918033
    • W. F. Pan, Y. X. You, G. P. Miao, Z. Q. Li: A coupled FE and DtN mapping method for the exterior problem of the Helmholtz equation in an oceanic waveguide. Acta Acustica united with Acustica 94 (2008) 301-309. (Pubitemid 351529763)
    • (2008) Acta Acustica united with Acustica , vol.94 , Issue.2 , pp. 301-309
    • Pan, W.F.1    You, Y.X.2    Miao, G.P.3    Li, Z.Q.4
  • 22
    • 0007766760 scopus 로고    scopus 로고
    • Giant acoustic stop bands in two-dimensional periodic arrays of liquid cylinders
    • M. S. Kushwaha, P. Halevi: Giant acoustic stop bands in two-dimensional periodic arrays of liquid cylinders. Appl. Phys. Lett. 69 (1996) 31-33. (Pubitemid 126636520)
    • (1996) Applied Physics Letters , vol.69 , Issue.1 , pp. 31-33
    • Kushwaha, M.S.1    Halevi, P.2
  • 23
    • 79952170711 scopus 로고
    • Diffraction of elastic waves and dynamic stress concentration
    • Y. H. Pao, C. C. Mao: Diffraction of elastic waves and dynamic stress concentration. Adam Hilger, 1973.
    • (1973) Adam Hilger
    • Pao, Y.H.1    Mao, C.C.2
  • 25
    • 0030241250 scopus 로고    scopus 로고
    • Use of Fourier series in the analysis of discontinuous periodic structures
    • L. F. Li: Use of Fourier series in the analysis of discontinuous periodic structures. J. Opt. Soc. Am. A 13 (1996) 1870-1876.
    • (1996) J. Opt. Soc. Am. A , vol.13 , pp. 1870-1876
    • Li, L.F.1
  • 26
    • 2942550877 scopus 로고    scopus 로고
    • Convergence problem of plane-wave expansion method for phononic crystals
    • Y. J. Cao, Z. L. Hou, Y. Y. Liu: Convergence problem of plane-wave expansion method for phononic crystals. Phys. Lett. A 327 (2004) 247-253.
    • (2004) Phys. Lett. A , vol.327 , pp. 247-253
    • Cao, Y.J.1    Hou, Z.L.2    Liu, Y.Y.3
  • 27
    • 40849112796 scopus 로고    scopus 로고
    • Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps
    • J. H. Yuan, Y. Y. Lu, X. Antoine: Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. J. Comput. Phys. 227 (2008) 4617-4629.
    • (2008) J. Comput. Phys. , vol.227 , pp. 4617-4629
    • Yuan, J.H.1    Lu, Y.Y.2    Antoine, X.3
  • 28
    • 33947699844 scopus 로고    scopus 로고
    • Scattering from periodic arrays of cylinders by dirichlet-to-neumann maps
    • DOI 10.1109/JLT.2006.878492
    • Y. X. Huang, Y. Y. Lu: Scattering from periodic arrays of cylinders by Dirichlet-to-Neumann maps. J. Lightwave. Tech. 4 (2006) 3448-3453. (Pubitemid 46489327)
    • (2006) Journal of Lightwave Technology , vol.24 , Issue.9 , pp. 3448-3453
    • Huang, Y.1    Lu, Y.Y.2


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