Acoustic wave transmission in time-varying phononic crystals

Smart Materials and Structures

Volumn 18, Issue 1, 2009, Pages

  Wright, D W ^a   Cobbold, R S C ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BAND GAPS; CLOSED-FORM SOLUTIONS; CORRUGATED TUBES; DRIVING MECHANISMS; EXECUTION TIME; FINITE-DIFFERENCE TIME-DOMAIN SIMULATIONS; MATERIAL PARAMETERS; MATERIAL PROPERTIES; NARROW BANDS; ONE-DIMENSIONAL; ORDERS OF MAGNITUDES; PHONONIC CRYSTALS; TIME-VARYING; TRANSMISSION MATRIX METHODS;

ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVE TRANSMISSION; ACOUSTIC WAVES; CRYSTALS; PHONONS; TIME VARYING SYSTEMS;

ACOUSTICS;

EID: 65249109246     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/18/1/015008     Document Type: Article

References (26)

1. Sukhovich A, Jing L and Page J H 2008 Negative refraction and focusing of ultrasound in two-dimensional phononic crystal Phys. Rev. B 77 014301
2. Page J H, Sukhovich A, Yang S, Cowan M L, Van Der Biest F, Tourin A, Fink M, Liu Z, Chan C T and Sheng P 2004 Phononic crystals Phys. Status Solidi b 241 3454-62 (Pubitemid 40004825)
3. Pendry J B 2000 Negative refraction makes a perfect lens Phys. Rev. Lett. 85 3966-9
4. Grbic A and Eleftheriades G V 2004 Overcoming the diffraction limit with a planar left-handed transmission-line lens Phys. Rev. Lett. 92 117403
5. AbdelMalek F, Belhadj W and Bouchriha H 2005 FDTD study of subwavelength imaging by a photonic crystal slab Photon. Nanostruct. Fundam. Appl. 3 19-24
6. Kushwaha M S and Halevi P 1994 Band-gap engineering in periodic elastic composites Appl. Phys. Lett. 64 1085-7
7. Zhang X and Liu Z 2004 Negative refraction of acoustic waves in two-dimensional phononic crystals Appl. Phys. Lett. 85 341-3
8. Yang S, Page J H, Liu Z, Cowan M L, Chan C T and Sheng P 2004 Focusing of sound in a 3D phononic crystal Phys. Rev. Lett. 93 024301
9. Yang S, Page J H, Liu Z, Cowan M L, Chan C T and Sheng P 2002 Ultrasound tunneling through 3D phononic crystals Phys. Rev. Lett. 88 104301
10. Felsen L B and Whitman G M 1970 Wave propagation in time-varying media IEEE Trans. Antennas Propag. 18 242-53
11. Fante R L 1971 Transmission of electromagnetic waves into time-varying media IEEE Trans. Antennas Propag. 19 417-24
12. Parkins B E 1971 Reflection and scattering from a time-varying rough surface-the nearly complete Lloyd's mirror effect J. Acoust. Soc. Am. 49 1484-90
13. Cassedy E S and Oliner A A 1963 Dispersion relations in time-space periodic media: part I-stable interactions Proc. IEEE 51 1342-59
14. Elachi C 1972 Electromagnetic wave propagation and wavevector diagram in space-time periodic media IEEE Trans. Antennas Propag. 20 534-6
15. Wu J H, Cheng T H and Liu A Q 2006 Modulational transparency and femtosecond pulse train Bragg reflectors with time-varying dielectric constant Appl. Phys. Lett. 89 263103 (Pubitemid 46058055)
16. Winn J N, Fan S and Joannopoulos J D 1999 Interband transitions in photonic crystals Phys. Rev. B 59 1551-4
17. Li X, Wu F, Hu H, Zhong S and Liu Y 2003 Large acoustic band gaps created by rotating square rods in two-dimensional periodic composites J. Phys. D: Appl. Phys. 36 L15-7
18. Yang W-P and Chen L-W 2008 The tunable acoustic band gaps of two-dimensional phononic crystals with a dielectric elastomer cylindrical actuator Smart Mater. Struct. 17 015011
19. Tanaka Y, Tomoyasu Y and Tamura S-I 2000 Band structure of acoustic waves in phononic lattices: two-dimensional composites with large acoustic mismatch Phys. Rev. B 62 7387-92
20. Bradley C E 1994 Time harmonic acoustic Bloch wave propagation in periodic waveguides. Part I. Theory J. Acoust. Soc. Am. 96 1844-53 (Pubitemid 24286342)
21. Hu X, Hang Z, Li J, Zi J and Chan C T 2006 Anomalous Doppler effects in phononic band gaps Phys. Rev. E 73 015602(R)
22. Born M and Wolf E 1999 Principles of Optics 7th edn (Cambridge: Cambridge University Press) pp 70-1
23. Duffin R J 1962 The reciprocal of a Fourier series Proc. Am. Math. Soc. 13 965-70
24. Schneider J B, Wagnew C L and Broschat S L 1998 Implementation of transparent sources embedded in acoustic finite-difference time-domain grids J. Acoust. Soc. Am. 103 136-42 (Pubitemid 28042388)
25. Martin P A 2006 Multiple Scattering (New York: Cambridge University Press)
26. Sainidou R, Stefanou N, Psarobas I E and Modinos A 2005 A layer-multiple-scattering method for phononic crystals and heterostructures of such Comput. Phys. Commun. 166 197-240