Exact analytic solution for oblique propagation in a piezoelectric, continuously twisted, structurally chiral medium

Applied Acoustics

Volumn 49, Issue 3, 1996, Pages 225-236

  Lakhtakia, Akhlesh ^a,b  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b The Pennsylvania State University   (United States)

Author keywords

Piezoelectricity; Structurally chiral media; Wave propagation

Indexed keywords

ACOUSTIC PROPERTIES; CHEMICAL COMPOUNDS; MATRIX ALGEBRA; PIEZOELECTRIC MATERIALS; PIEZOELECTRICITY; POLYNOMIALS; TRANSDUCERS;

STRUCTURALLY CHIRAL MEDIA;

ACOUSTIC WAVE PROPAGATION;

EID: 0030286687     PISSN: 0003682X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0003-682X(96)00022-9     Document Type: Article

References (15)

1. Lakhtakia, A., Wave propagation in a piezoelectric, continuously twisted, structurally chiral medium along the axis of spirality. Appl. Acoust., 44 (1995) 25-37; errata: 44 (1995) 385.
2. Yang, S.-K., Elastic waves in structurally chiral composites. PhD dissertation (Engineering Science and Mechanics), Pennsylvania State University, May 1990.
3. Yang, S.-K., Varadan, V. V., Lakhtakia, A. & Varadan, V. K., Reflection and transmission of elastic waves by a structurally chiral arrangement of identical uniaxial layers. J. Phys D: Appl. Phys., 24 (1991) 1601-1608.
4. Lakhtakia, A., Elastodynamic wave propagation in a continuously twisted structurally chiral medium along the axis of spirality. J. Acoust. Soc. Am. 95 (1994) 597-600; erratum: 95 (1994) 3669.
5. Nagle, S. F., Lakhtakia, A. & Thompson, Jr, W., Modal structures for axial wave propagation in a continuously twisted structurally chiral medium (CTSCM). J. Acoust. Soc. Am., 97 (1995) 42-50.
6. Nagle, S. F. & Lakhtakia, A., Shear axial modes in a PCTSCM. Part I. Piezoelectric stiffening and selective attenuation. Sensors and Actuators A: Physical, 49 (1995) 195-201; errata: 50 (1996) (in press).
7. Robbie, K., Brett, M. J. & Lakhtakia, A., First thin film realization of a helicoidal bianisotropic medium, J. Vacuum Sci. Technol. A, 13 (1995) 2991-2993.
8. Lakhtakia, A., Messier, R., Brett, M. J. & Robbie, K., Sculptured thin films (STFs) for optical, chemical and biological applications. Innovations in Mater. Res., 1 (1996) 165-176.
9. Yakubovich, V. A. & Starzhinskii, V. M., Linear Differential Equations with Periodic Coefficients. John Wiley, Chichester, 1975.
10. Auld, B. A., Acoustic Fields and Waves in Solids, Vol. I. Krieger, Malabar, FL, 1990.
11. Nayfeh, A. H., The general problems of elastic wave propagation in multilayered anisotropic media. J. Acoust. Soc. Am., 89 (1991) 1521-1531.
12. Dreher, R. & Meier, G., Optical properties of cholesteric liquid crystals. Phys. Rev. A, 8(1973) 1616-1623.
13. Rokushima, K. & Yamakita, J., Analysis of diffraction in periodic liquid crystals: the optics of the chiral smectic C phase. J. Optical Soc. Am. A, 4 (1987) 27-33.
14. Peterson, M. A., Light propagation and light scattering in cholesteric liquid crystals. Phys. Rev. A, 27 (1983) 3291-3299.
15. Hochstadt, H., Differential Equations - A Modern Approach. Dover, New York, 1975.