MARTINEZ-SALA R,SANCHO J,SANCHEZ J V,et al.Sound attenuation by sculpture[J].Nature,1995,378:241-246.
[2]
KHELIF A,CHOUJAA A,LAIHEM R,et al.Experimental study of band gaps and defect modes in atwo-dimensional ultrasonic crystal[J].IEEE UltrasonicsSymposium,2003,1:377-380.
[3]
KHELIF A,CHOUJAA A,DJAFARI-ROUHANI B,etal.Trapping and guiding of acoustic waves by defectmodes in a full-band-gap ultraonic crystal[J].PhysicalReview B,2003,68(21):214301-1-214301-4.
[4]
FULI H,KHELIF A,MOUBCHIR H,et al.Completeband gaps and deaf bands of triangular and honeycombwater-steel phononic crystals[J].Journal of AppliedPhysics,2007,101(4):044903-1-044903-5.
[5]
卢天健,高国钦,马守林,等.二维四方排列半圆铝管/空气声子晶体的禁带特性[J].中国科学E辑:技术科学,2009,39(1):57-64.LU Tian-jian,GAO Guo-qin,MA Shou-lin,et al.Properties of band gaps in 2D half Aluminum rods ofhollows-air phononic crystal with square lattice[J].Science in China Series E:Technological Sciences,2009,39(1):57-64.(in Chinese)
[6]
MONTERO D E,ESPINOSA F R,JIMENEZ E,et al.Ultrasonic band gap in a periodic two-dimensionalcomposite[J].Physical Review Letters,1998,80(6):1208-1211.
[7]
YANG Su-xia,PAGE J H,LIU Zheng-you,et al.Focusing of sound in a 3D phononic crystal[J].PhysicalReview Letters,2004,93(2):02430-1-02430-4.
[8]
ROMERO-GARCIA V,SANCHEZ-PEREZ J V,GARCIA-RAFFI L M.Tunable wideband bandstopacoustic filter based on two-dimensional multiphysicalphenomena periodic systems[J].Journal of AppliedPhysics,2011,110(1):014904-1-014904-9.
[9]
ROMERO-GARCIA V,SANCHEZ-PEREZ J V,GARCIA-RAFFI L M.Evanescent modes in soniccrystals:complex dispersion relation and supercellapproximation[J].Journal of Applied Physics,2010,108(4):044907-1-044907-6.
[10]
SIGALAS M,ECONOMOU E N.Band structure of elasticwaves in two dimensional systems[J].Solid StateCommunications,1993,86(3):141-143.
[11]
KUSHWAHA M S,HALEVI P,DOBRZYNSKI L,et al.Acoustic band structure of periodic elastic composites[J].Physical Review Letters,1993,71(13):2022-2025.
[12]
KUSHWAHA M S,HALEVI P,MARTINEZ G,et al.Theory of acoustic band structure of periodic elasticcomposites[J].Physical Review B,1994,49(4):2313-2322.
[13]
LIU Zheng-you,CHAN C T,SHENG Ping,et al.Elasticwave scattering by periodic structures of spherical objects:theory and experiment[J].Physical Review B,2000,62(4):2446-2457.
[14]
MEI Jun,LIU Zheng-you,SHI Jing,et al.Theory forelastic wave scattering by a two-dimensional periodicalarray of cylinders:an ideal approach for band-structurecalculations[J].Physical Review B,2003,67(24):245107-1-245107-7.
[15]
TANAKA Y,TOMOYASU Y,TAMURA S I.Bandstructure of acoustic waves in phononic lattices:two-dimensional composites with large acoustic mismatch[J].Physical Review B,2000,62(11):7387-7392.
[16]
SIGALAS M M,GARCIA N.Theoretical study of threedimensional elastic band gaps with the finite-differencetime-domain method[J].Journal of Applied Physics,2000,87(6):3122-3125.
[17]
ZHOU Xiao-zhou,WANG Yue-sheng,ZHANG Chuan-zeng.Effect of material parameters on elastic band gaps oftwo-dimensional solid phononic crystals[J].Journal ofApplied Physics,2009,106(1):014903-1-014903-11.
[18]
ROMERO-GARCIA V,SANCHEZ-PEREZ J V,CASTINEIRA-IBANEZ S,et al.Evidences of evanescentBloch waves in phononic crystals[J].Applied PhysicsLetters,2010,96(12):124102-1-124102-3.
[19]
KUSHWAHA M S.Stop-bands for periodic metallic rods:sculptures that can filter the noise[J].Applied PhysicsLetters,1997,70(24):3218-3220.
[20]
KITTEL C.Introduction to solid state physics[M].NewYork:Wiley&Sons,Inc,1996.
[21]
GOODMAN J W.Introduction to fourier optics[M].NewYork:McGraw-Hill,Inc,2002.
