메뉴 건너뛰기




Volumn 21, Issue 6, 2008, Pages 517-528

Elastic wave localization in two-dimensional phononic crystals with one-dimensional quasi-periodicity and random disorder

Author keywords

disorder; localization factors; periodic average structure; phononic crystal; plane wave based transfer matrix method; quasi phononic crystal

Indexed keywords

DISORDER; LOCALIZATION FACTORS; PERIODIC AVERAGE STRUCTURE; PHONONIC CRYSTAL; PLANE-WAVE-BASED TRANSFER-MATRIX METHOD; QUASI PHONONIC CRYSTAL;

EID: 65449130006     PISSN: 08949166     EISSN: 18602134     Source Type: Journal    
DOI: 10.1007/s10338-008-0862-x     Document Type: Article
Times cited : (26)

References (44)
  • 3
    • 33745947692 scopus 로고
    • Inhibited spontaneous emission in solid state physics and electronics
    • Yablonovitch E. Inhibited spontaneous emission in solid state physics and electronics. Physical Review Letters 58 (1987) 2059-2062
    • (1987) Physical Review Letters , vol.58 , pp. 2059-2062
    • Yablonovitch, E.1
  • 4
    • 26544437684 scopus 로고
    • Strong localization of photons in certain disordered dielectric superlattices
    • John S. Strong localization of photons in certain disordered dielectric superlattices. Physical Review Letters 58 (1987) 2486-2489
    • (1987) Physical Review Letters , vol.58 , pp. 2486-2489
    • John, S.1
  • 5
    • 25744474798 scopus 로고
    • Elastic-wave propagation through disordered and/or absorptive layered systems
    • Sigalas M.M., and Soukoulis C.M. Elastic-wave propagation through disordered and/or absorptive layered systems. Physical Review B 51 (1995) 2780-2789
    • (1995) Physical Review B , vol.51 , pp. 2780-2789
    • Sigalas, M.M.1    Soukoulis, C.M.2
  • 7
    • 0032638156 scopus 로고    scopus 로고
    • Two-dimensional phononic crystals: surface acoustic waves
    • Tanaka Y., and Tamura S. Two-dimensional phononic crystals: surface acoustic waves. Physica B 263-264 (1999) 77-80
    • (1999) Physica B , vol.263-264 , pp. 77-80
    • Tanaka, Y.1    Tamura, S.2
  • 8
    • 2142805960 scopus 로고    scopus 로고
    • Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy
    • Wu T.T., Huang Z.G., and Lin S. Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy. Physical Review B 69 (2004) 094301
    • (2004) Physical Review B , vol.69 , pp. 094301
    • Wu, T.T.1    Huang, Z.G.2    Lin, S.3
  • 10
    • 4043162107 scopus 로고    scopus 로고
    • Splitting and tuning characteristics of the point defect modes in twodimensional phononic crystals
    • Wu F.G., Liu Z.Y., and Liu Y.Y. Splitting and tuning characteristics of the point defect modes in twodimensional phononic crystals. Physical Review E 69 (2004) 066609
    • (2004) Physical Review E , vol.69 , pp. 066609
    • Wu, F.G.1    Liu, Z.Y.2    Liu, Y.Y.3
  • 11
    • 0042512357 scopus 로고    scopus 로고
    • Two-dimensional phononic crystal with tunable narrow pass band: Application to a waveguide with selective frequency
    • Khelif A., Deymier P.A., Djafari-Rouhani B., Vasseur J.O., and Dobrzynski L. Two-dimensional phononic crystal with tunable narrow pass band: Application to a waveguide with selective frequency. Journal of Applied Physics 94 (2003) 1308-1311
    • (2003) Journal of Applied Physics , vol.94 , pp. 1308-1311
    • Khelif, A.1    Deymier, P.A.2    Djafari-Rouhani, B.3    Vasseur, J.O.4    Dobrzynski, L.5
  • 12
    • 0036695657 scopus 로고    scopus 로고
    • Elastic band gaps in a fcc lattice of mercury spheres in aluminum
    • Psarobas I.E., and Sigalas M.M. Elastic band gaps in a fcc lattice of mercury spheres in aluminum. Physical Review B 66 (2002) 052302
    • (2002) Physical Review B , vol.66 , pp. 052302
    • Psarobas, I.E.1    Sigalas, M.M.2
  • 13
    • 33845776228 scopus 로고    scopus 로고
    • Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals
    • Yan Z.Z., and Wang Y.S. Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals. Physical Review B 74 (2006) 1
    • (2006) Physical Review B , vol.74 , pp. 1
    • Yan, Z.Z.1    Wang, Y.S.2
  • 14
    • 46149120565 scopus 로고    scopus 로고
    • Wavelet-based method for computing elastic band gaps of one-dimensional phononic crystals
    • Yan Z.Z., and Wang Y.S. Wavelet-based method for computing elastic band gaps of one-dimensional phononic crystals. Science in China Series G - Physics and Astronomy 50 (2007) 622-630
    • (2007) Science in China Series G - Physics and Astronomy , vol.50 , pp. 622-630
    • Yan, Z.Z.1    Wang, Y.S.2
  • 15
    • 65449166031 scopus 로고    scopus 로고
    • Wavelet method for calculating the defect states of two-dimensional phononic crystals
    • Yan Z.Z., Wang Y.S., and Zhang C.Z. Wavelet method for calculating the defect states of two-dimensional phononic crystals. Acta Mechanica Solida Sinica 21 (2008) 105-109
    • (2008) Acta Mechanica Solida Sinica , vol.21 , pp. 105-109
    • Yan, Z.Z.1    Wang, Y.S.2    Zhang, C.Z.3
  • 16
    • 4143071241 scopus 로고    scopus 로고
    • Sonic band gaps in finite elastic media: surface states and localization phenomena in linear and point defects
    • Torres M., Montero de Espinosa F.R., García-Pablos D., and García N. Sonic band gaps in finite elastic media: surface states and localization phenomena in linear and point defects. Physical Review Letters 82 (1999) 3054-3057
    • (1999) Physical Review Letters , vol.82 , pp. 3054-3057
    • Torres, M.1    Montero de Espinosa, F.R.2    García-Pablos, D.3    García, N.4
  • 17
    • 0000403010 scopus 로고    scopus 로고
    • Defect states of acoustic waves in a two-dimensional lattice of solid cylinders
    • Sigalas M.M. Defect states of acoustic waves in a two-dimensional lattice of solid cylinders. Journal of Applied Mechanics 84 (1998) 3026-3030
    • (1998) Journal of Applied Mechanics , vol.84 , pp. 3026-3030
    • Sigalas, M.M.1
  • 18
    • 14344270796 scopus 로고    scopus 로고
    • Frequency modulation in the transmittivity of wave guides in elastic-wave band-gap materials
    • Kafesaki M., Sigalas M.M., and García N. Frequency modulation in the transmittivity of wave guides in elastic-wave band-gap materials. Physical Review Letters 85 (2000) 4044-4047
    • (2000) Physical Review Letters , vol.85 , pp. 4044-4047
    • Kafesaki, M.1    Sigalas, M.M.2    García, N.3
  • 19
    • 24244444170 scopus 로고
    • Absence of diffusion in certain random lattices
    • Anderson P.W. Absence of diffusion in certain random lattices. Physical Review 109 (1958) 1492-1505
    • (1958) Physical Review , vol.109 , pp. 1492-1505
    • Anderson, P.W.1
  • 20
    • 65449155969 scopus 로고    scopus 로고
    • Wave localization in randomly disordered periodic piezoelectric rods
    • Li F.M., Wang Y.S., and Chen A.L. Wave localization in randomly disordered periodic piezoelectric rods. Acta Mechanica Solida Sinica 19 (2006) 50-57
    • (2006) Acta Mechanica Solida Sinica , vol.19 , pp. 50-57
    • Li, F.M.1    Wang, Y.S.2    Chen, A.L.3
  • 21
    • 24144470047 scopus 로고    scopus 로고
    • Bandgap extension of disordered 1D ternary photonic crystals
    • (in Chinese).
    • Zhang Y.P., Yao J.Q., Zhang H.Y., Zheng Y., and Wang P. Bandgap extension of disordered 1D ternary photonic crystals. Acta Photonica Sinica 34 (2005) 1094-1098 (in Chinese).
    • (2005) Acta Photonica Sinica , vol.34 , pp. 1094-1098
    • Zhang, Y.P.1    Yao, J.Q.2    Zhang, H.Y.3    Zheng, Y.4    Wang, P.5
  • 22
    • 34247523381 scopus 로고    scopus 로고
    • Localizationdelocalization transition of photons in one-dimensional random n-mer dielectric systems
    • Zhao Z., Gao F., Peng R.W., Cao L.S., Li D., Wang Z., Hao X.P., Wang M., and Ferrari C. Localizationdelocalization transition of photons in one-dimensional random n-mer dielectric systems. Physical Review B 75 (2007) 165117
    • (2007) Physical Review B , vol.75 , pp. 165117
    • Zhao, Z.1    Gao, F.2    Peng, R.W.3    Cao, L.S.4    Li, D.5    Wang, Z.6    Hao, X.P.7    Wang, M.8    Ferrari, C.9
  • 23
    • 0033905982 scopus 로고    scopus 로고
    • Localization phenomena in structural dynamics
    • Bendiksen O.O. Localization phenomena in structural dynamics. Chaos, Solitons and Fractals 11 (2000) 1621-1660
    • (2000) Chaos, Solitons and Fractals , vol.11 , pp. 1621-1660
    • Bendiksen, O.O.1
  • 24
    • 0011882268 scopus 로고
    • Wave localization in randomly disordered nearly periodic long continuous beams
    • Ariaratnam S.T., and Xie W.C. Wave localization in randomly disordered nearly periodic long continuous beams. Journal of Sound and Vibration 181 (1995) 7-22
    • (1995) Journal of Sound and Vibration , vol.181 , pp. 7-22
    • Ariaratnam, S.T.1    Xie, W.C.2
  • 26
    • 42749099008 scopus 로고    scopus 로고
    • Band theory of light localization in one-dimensional disordered systems
    • Vinogradov A.P., and Merzlikin A.M. Band theory of light localization in one-dimensional disordered systems. Physical Review E 70 (2004) 026610
    • (2004) Physical Review E , vol.70 , pp. 026610
    • Vinogradov, A.P.1    Merzlikin, A.M.2
  • 27
    • 33745986934 scopus 로고
    • Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum
    • Zhang D.Z., Hu W., Zhang Y.L., Li Z.L., Cheng B.Y., and Yang G.Z. Experimental verification of light localization for disordered multilayers in the visible-infrared spectrum. Physical Review B 50 (1994) 9810-9814
    • (1994) Physical Review B , vol.50 , pp. 9810-9814
    • Zhang, D.Z.1    Hu, W.2    Zhang, Y.L.3    Li, Z.L.4    Cheng, B.Y.5    Yang, G.Z.6
  • 28
    • 33847279801 scopus 로고    scopus 로고
    • Study on band gaps of elastic waves propagating in one dimensional disordered phononic crystals
    • Chen A.L., and Wang Y.S. Study on band gaps of elastic waves propagating in one dimensional disordered phononic crystals. Physica B 392 (2007) 369-378
    • (2007) Physica B , vol.392 , pp. 369-378
    • Chen, A.L.1    Wang, Y.S.2
  • 30
    • 0043226846 scopus 로고    scopus 로고
    • Chaos, buckling mode localization in nonhomogeneous beams on elastic foundations
    • Xie W.C. Chaos, buckling mode localization in nonhomogeneous beams on elastic foundations. Chaos, Solitons and Fractals 8 (1997) 411-431
    • (1997) Chaos, Solitons and Fractals , vol.8 , pp. 411-431
    • Xie, W.C.1
  • 31
    • 24944520366 scopus 로고    scopus 로고
    • Study on wave localization in disordered periodic layered piezoelectric composite structures
    • Li F.M., and Wang Y.S. Study on wave localization in disordered periodic layered piezoelectric composite structures. International Journal of Solids and Structures 42 (2005) 6457-6474
    • (2005) International Journal of Solids and Structures , vol.42 , pp. 6457-6474
    • Li, F.M.1    Wang, Y.S.2
  • 32
    • 33847775620 scopus 로고    scopus 로고
    • Wave localization in randomly disordered periodic layered piezoelectric structures
    • Li F.M., Wang Y.S., Hu C., and Huang W.H. Wave localization in randomly disordered periodic layered piezoelectric structures. Acta Mechanica Sinica 22 (2006) 559-567
    • (2006) Acta Mechanica Sinica , vol.22 , pp. 559-567
    • Li, F.M.1    Wang, Y.S.2    Hu, C.3    Huang, W.H.4
  • 34
    • 0009965049 scopus 로고
    • Characterization of the diffraction spectra of one-dimensional k-component Fibonacci structures
    • Peng R.W., Wang M., Hu A., Jiang S.S., Jin G.J., and Feng D. Characterization of the diffraction spectra of one-dimensional k-component Fibonacci structures. Physical Review B 52 (1995) 13310-13316
    • (1995) Physical Review B , vol.52 , pp. 13310-13316
    • Peng, R.W.1    Wang, M.2    Hu, A.3    Jiang, S.S.4    Jin, G.J.5    Feng, D.6
  • 35
    • 34547184514 scopus 로고    scopus 로고
    • Acoustic band gaps in periodically and quasiperiodically modulated waveguides
    • King P.D.C., and Cox T.J. Acoustic band gaps in periodically and quasiperiodically modulated waveguides. Journal of Applied Physics 102 (2007) 014902
    • (2007) Journal of Applied Physics , vol.102 , pp. 014902
    • King, P.D.C.1    Cox, T.J.2
  • 39
    • 0037527766 scopus 로고    scopus 로고
    • Photonic band structures solved by a plane-wave-based transfer-matrix method
    • Li Z.Y., and Lin L.L. Photonic band structures solved by a plane-wave-based transfer-matrix method. Physical Review E 67 (2003) 046607
    • (2003) Physical Review E , vol.67 , pp. 046607
    • Li, Z.Y.1    Lin, L.L.2
  • 40
    • 8544280761 scopus 로고    scopus 로고
    • Transmission property anslysis of two-dimensional phononic crystal
    • Hou Z.L., Kuang W.M., and Liu Y.Y. Transmission property anslysis of two-dimensional phononic crystal. Physics Letters A 333 (2004) 172-180
    • (2004) Physics Letters A , vol.333 , pp. 172-180
    • Hou, Z.L.1    Kuang, W.M.2    Liu, Y.Y.3
  • 41
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf A., Swift J.B., Swinney H.L., and Vastano J.A. Determining Lyapunov exponents from a time series. Physica D 16 (1985) 285-317
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 42
    • 0029639476 scopus 로고
    • Lyapunov exponents and localization phenomena in multi-coupled nearly periodic systems
    • Castanier M.P., and Pierre C. Lyapunov exponents and localization phenomena in multi-coupled nearly periodic systems. Journal of Sound and Vibration 183 (1995) 493-515
    • (1995) Journal of Sound and Vibration , vol.183 , pp. 493-515
    • Castanier, M.P.1    Pierre, C.2
  • 43
    • 0032040975 scopus 로고    scopus 로고
    • Buckling mode localization in rib-stiffened plates with randomly misplaced stiffeners
    • Xie W.C. Buckling mode localization in rib-stiffened plates with randomly misplaced stiffeners. Computers and Structures 67 (1998) 175-189
    • (1998) Computers and Structures , vol.67 , pp. 175-189
    • Xie, W.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.