Sonic band structure and localized modes in a density-modulated system: Experiment and theory

American Journal of Physics

Volumn 70, Issue 11, 2002, Pages 1154-1156

  Carr, Christopher ^a   Yu, Roger ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b ST EDWARD'S UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036026617     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1509417     Document Type: Article

References (10)

1. D. Griffiths and C. Steinke, "Waves in locally periodic media," Am. J. Phys. 69, 137-154 (2001).
2. E. Yablonovitch, J. Gmitter, and K. Leung, "Photonic band structure: The face-centered-cubic case employing nonspherical atom," Phys. Rev. Lett. 67, 2295-2298 (1991).
3. S. Parmley, T. Zobrist, T. Clough, A. Perez-Miller, M. Makela, and R. Yu, "Phononic band structure in a mass chain," Appl. Phys. Lett. 67, 777-779 (1995).
4. J. Dowling, "Sonic band structure in fluids with periodic density variations," J. Acoust. Soc. Am. 91, 2539-2543 (1992).
5. C. Bradley, "Time harmonic acoustic Bloch wave propagation in periodic waveguides. I. Theory," J. Acoust. Soc. Am. 96, 1844-1853 (1994); "Time harmonic acoustic Bloch wave propagation in periodic waveguides. II. Experiment," ibid., 1854-1862 (1994).
6. C. Bradley, "Time harmonic acoustic Bloch wave propagation in periodic waveguides. I. Theory," J. Acoust. Soc. Am. 96, 1844-1853 (1994); "Time harmonic acoustic Bloch wave propagation in periodic waveguides. II. Experiment," ibid., 1854-1862 (1994).
7. P. Morse, Theoretical Acoustics (McGraw-Hill, New York, 1968).
8. A. Fetter and J. Walecka, Theoretical Mechanics of Particles and Continua (McGraw-Hill, New York, 1980).
9. m is the derivative of the mth-order Bessel function.
10. D. Sprung, J. Sigetich, and H. Wu, "Bound states of a finite periodic potential," Am. J. Phys. 68, 715-722 (2000).