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Volumn 463, Issue 2086, 2007, Pages 2709-2727

Band gap Green's functions and localized oscillations

Author keywords

Green's functions; Localized defect modes; Waves in lattice structures

Indexed keywords


EID: 36348978166     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2007.0007     Document Type: Article
Times cited : (57)

References (23)
  • 1
    • 36149060924 scopus 로고
    • Defect modes in two-component chains
    • doi:10.1088/0370-1328/80/1/321
    • Bacon, M. D., Dean, P. & Martin, J. L. 1962 Defect modes in two-component chains. Proc. Phys. Soc. 80, 174-189. (doi:10.1088/0370-1328/80/1/321)
    • (1962) Proc. Phys. Soc , vol.80 , pp. 174-189
    • Bacon, M.D.1    Dean, P.2    Martin, J.L.3
  • 3
    • 24344458895 scopus 로고    scopus 로고
    • Exact analysis of localized modes in two-dimensional bi-periodic mass-spring systems with a single disorder
    • doi:10.1016/j.jsv.2005.01.044
    • Cai, C. W., Liu, J. K. & Yang, Y. 2005 Exact analysis of localized modes in two-dimensional bi-periodic mass-spring systems with a single disorder. J. Sound Vib. 288, 307-320. (doi:10.1016/j.jsv.2005.01.044)
    • (2005) J. Sound Vib , vol.288 , pp. 307-320
    • Cai, C.W.1    Liu, J.K.2    Yang, Y.3
  • 4
    • 0011562735 scopus 로고
    • Theory of scattering in solids
    • doi:10.1063/1.1704180
    • Callaway, J. 1964 Theory of scattering in solids. J. Math. Phys. 5, 783-798. (doi:10.1063/1.1704180)
    • (1964) J. Math. Phys , vol.5 , pp. 783-798
    • Callaway, J.1
  • 5
    • 0008621543 scopus 로고
    • Surface tension and surface modes in semi-infinite lattices
    • Gazis, D. C. & Wallis, R. F. 1964 Surface tension and surface modes in semi-infinite lattices. Surface Sci. 3, 19-32.
    • (1964) Surface Sci , vol.3 , pp. 19-32
    • Gazis, D.C.1    Wallis, R.F.2
  • 6
    • 26544437684 scopus 로고
    • Strong localization of Photons in certain disordered dielectric superlattices
    • doi:10.1103/PhysRevLett.58.2486
    • John, S. 1987 Strong localization of Photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58, 2486-2489. (doi:10.1103/PhysRevLett.58.2486)
    • (1987) Phys. Rev. Lett , vol.58 , pp. 2486-2489
    • John, S.1
  • 7
    • 0141518189 scopus 로고    scopus 로고
    • Phononic band gaps and vibrations in one- and two-dimensional mass-spring structures
    • doi:10.1016/S0022-460X(02)01629-2
    • Jensen, J. S. 2003 Phononic band gaps and vibrations in one- and two-dimensional mass-spring structures. J Sound Vib. 226, 1053-1078. (doi:10.1016/S0022-460X(02)01629-2)
    • (2003) J Sound Vib , vol.226 , pp. 1053-1078
    • Jensen, J.S.1
  • 8
    • 0030574165 scopus 로고    scopus 로고
    • The response of two-dimensional periodic structures to point harmonic forcing
    • doi:10.1006/jsvi.1996.0542
    • Langley, R. S. 1996 The response of two-dimensional periodic structures to point harmonic forcing. J Sound Vib. 197, 447-469. (doi:10.1006/jsvi.1996.0542)
    • (1996) J Sound Vib , vol.197 , pp. 447-469
    • Langley, R.S.1
  • 9
    • 0031098503 scopus 로고    scopus 로고
    • The response of two-dimensional periodic structures to impulsive point loading
    • doi:10.1006/jsvi.1996.0744
    • Langley, R. S. 1997 The response of two-dimensional periodic structures to impulsive point loading. J Sound Vib. 201, 235-253. (doi:10.1006/jsvi.1996.0744)
    • (1997) J Sound Vib , vol.201 , pp. 235-253
    • Langley, R.S.1
  • 10
    • 0001034969 scopus 로고    scopus 로고
    • The response of two-dimensional periodic structures to harmonic point loading: A theoretical and experimental study of a beam grillage
    • doi:10.1006/jsvi.1997.1154
    • Langley, R. S., Bardell, N. S. & Ruivo, H. M. 1997 The response of two-dimensional periodic structures to harmonic point loading: a theoretical and experimental study of a beam grillage. J. Sound Vib. 207, 521-535. (doi:10.1006/jsvi.1997.1154)
    • (1997) J. Sound Vib , vol.207 , pp. 521-535
    • Langley, R.S.1    Bardell, N.S.2    Ruivo, H.M.3
  • 12
    • 36149060655 scopus 로고
    • Some effects of point defects on the vibrations of crystal lattices
    • doi:10.1088/0034-4885/28/1/310
    • Maradudin, A. A. 1965 Some effects of point defects on the vibrations of crystal lattices. Rep. Prog. Phys. 28, 332-380. (doi:10.1088/0034-4885/28/1/310)
    • (1965) Rep. Prog. Phys , vol.28 , pp. 332-380
    • Maradudin, A.A.1
  • 13
    • 33746895180 scopus 로고    scopus 로고
    • Discrete scattering theory: Green's function for a square lattice
    • doi:10.1016/j.wavemoti. 2006.05.006
    • Martin, P. A. 2006 Discrete scattering theory: Green's function for a square lattice. Wave Motion 43, 619-629. (doi:10.1016/j.wavemoti. 2006.05.006)
    • (2006) Wave Motion , vol.43 , pp. 619-629
    • Martin, P.A.1
  • 14
    • 0037293210 scopus 로고    scopus 로고
    • Vibrations of lattice structures and phononic band gaps
    • doi:10.1093/qjmam/56.1.45
    • Martinsson, P. G. & Movchan, A. B. 2003 Vibrations of lattice structures and phononic band gaps. Q. J. Mech. Appl. Math. 56, 45-64. (doi:10.1093/qjmam/56.1.45)
    • (2003) Q. J. Mech. Appl. Math , vol.56 , pp. 45-64
    • Martinsson, P.G.1    Movchan, A.B.2
  • 15
    • 0001659723 scopus 로고
    • A general theory of harmonic wave propagation in linear periodic systems with multiple coupling
    • doi:10.1016/0022-460X(73)90064-3
    • Mead, D. J. 1973 A general theory of harmonic wave propagation in linear periodic systems with multiple coupling. J Sound Vib. 27, 235-260. (doi:10.1016/0022-460X(73)90064-3)
    • (1973) J Sound Vib , vol.27 , pp. 235-260
    • Mead, D.J.1
  • 16
    • 0030082997 scopus 로고    scopus 로고
    • Wave propagation in continuous periodic structures: Research contributions from Southampton, 1964-1995
    • doi:10.1006/jsvi.1996.0076
    • Mead, D. J. 1996 Wave propagation in continuous periodic structures: research contributions from Southampton, 1964-1995. J. Sound Vib. 190, 495-524. (doi:10.1006/jsvi.1996.0076)
    • (1996) J. Sound Vib , vol.190 , pp. 495-524
    • Mead, D.J.1
  • 17
    • 0018784681 scopus 로고
    • Free wave propagation in two-dimensional periodic plates
    • doi:10.1016/0022-460X(79)90581-9
    • Mead, D. J. & Parthan, S. 1979 Free wave propagation in two-dimensional periodic plates. J. Sound Vib. 64, 325-348. (doi:10.1016/0022-460X(79)90581-9)
    • (1979) J. Sound Vib , vol.64 , pp. 325-348
    • Mead, D.J.1    Parthan, S.2
  • 18
    • 0026117525 scopus 로고
    • The harmonic response of rectangular sandwich plates with multiply stiffening a flexural wave analysis
    • doi:10.1016/0022-460X(91)90111-V
    • Mead, D. J. & Yaman, Y. 1991 The harmonic response of rectangular sandwich plates with multiply stiffening a flexural wave analysis. J. Sound Vib. 145, 409-428. (doi:10.1016/0022-460X(91)90111-V)
    • (1991) J. Sound Vib , vol.145 , pp. 409-428
    • Mead, D.J.1    Yaman, Y.2
  • 19
    • 36849101523 scopus 로고
    • Lattice Green's function for the diatomic lattices
    • doi:10.1063/1.1666129
    • Morita, T. & Horiguchi, T. 1972 Lattice Green's function for the diatomic lattices. J. Math. Phys. 13, 1243-1252. (doi:10.1063/1.1666129)
    • (1972) J. Math. Phys , vol.13 , pp. 1243-1252
    • Morita, T.1    Horiguchi, T.2
  • 21
    • 85020834810 scopus 로고    scopus 로고
    • Slepyan, L. I. & Ayzenberg-Stepanenko, M. Submitted. Resonant-frequency primitive waveforms and star waves in lattices.
    • Slepyan, L. I. & Ayzenberg-Stepanenko, M. Submitted. Resonant-frequency primitive waveforms and star waves in lattices.
  • 22
    • 33745947692 scopus 로고
    • Inhibited spontaneous emission in solid-state physics and electronics
    • doi:10.1103/PhysRevLett.58.2059
    • Yablonovitch, E. 1987 Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059-2062. (doi:10.1103/PhysRevLett.58.2059)
    • (1987) Phys. Rev. Lett , vol.58 , pp. 2059-2062
    • Yablonovitch, E.1
  • 23
    • 36149031651 scopus 로고
    • Photonic band-gap crystals
    • doi:10.1088/0953-8984/5/16/004
    • Yablonovitch, E. 1993 Photonic band-gap crystals. J. Phys. Condensed Matter 5, 2443-2460. (doi:10.1088/0953-8984/5/16/004)
    • (1993) J. Phys. Condensed Matter , vol.5 , pp. 2443-2460
    • Yablonovitch, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.