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Effective properties of a periodic chiral arrangement of identical biaxially dielectric plates

Published online by Cambridge University Press:  31 January 2011

A. Lakhtakia ,
V. K. Varadan  and
V. V. Varadan
A. Lakhtakia
Affiliation:
Department of Engineering Science and Mechanics and Center for the Engineering of Electronic and Acoustic Materials, The Pennsylvania State University, University Park, Pennsylvania 16802
V. K. Varadan
Affiliation:
Department of Engineering Science and Mechanics and Center for the Engineering of Electronic and Acoustic Materials, The Pennsylvania State University, University Park, Pennsylvania 16802
V. V. Varadan
Affiliation:
Department of Engineering Science and Mechanics and Center for the Engineering of Electronic and Acoustic Materials, The Pennsylvania State University, University Park, Pennsylvania 16802
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Abstract

A periodically inhomogeneous medium is constructed by stacking up unit cells made of (identical) structurally chiral slabs. Each structurally chiral slab is comprised of a certain number of identical biaxially anisotropic plates, the consecutive optic axes describing either a right- or a left-handed spiral. The characteristic matrix of the unit cell is obtained and used with the Floquet-Lyapunov theorem to obtain the electromagnetic fields in the periodic medium. When the unit cell thickness is very small compared to the principal wavelengths in the biaxial plates, the periodically inhomogeneous biaxial medium is shown to be equivalent to a homogeneous biaxial medium, the two optic axes of the equivalent medium being dependent on the handedness of the periodic medium.

Type
Articles
Information
Journal of Materials Research , Volume 4 , Issue 6 , December 1989 , pp. 1511 - 1514
Copyright
Copyright © Materials Research Society 1989

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References

REFERENCES

1Yeh, P.J. Opt. Soc. Am. 69, 742 (1979).CrossRefGoogle Scholar
2Marques, R. and Homo, M.Proc. IEE-H 133, 450 (1986).Google Scholar
3Krowne, C. M.Int. J. Electronics 59, 315 (1985).CrossRefGoogle Scholar
4Rumsey, V. H.IEEE Trans. Antennas Propag. 12, 83 (1964).CrossRefGoogle Scholar
5Lakhtakia, A.Varadan, V. V. and Varadan, V. K.J. Opt. Soc. Am. A5, 175 (1988).Google Scholar
6Lakhtakia, A.Varadan, V.V. and Varadan, V. K.IEEE Trans. Electro-magn. Compat. 28, 90 (1986).Google Scholar
7Varadan, V. K.Varadan, V. V. and Lakhtakia, A.J. Wave-Mater. Interact. 2, 71 (1987).Google Scholar
8Varadan, V.V.Lakhtakia, A. and Varadan, V. K.Optik 80, 27 (1988).Google Scholar
9Yakubovich, V. A. and Starzhinskii, V. M.Linear Differential Equations with Periodic Coefficients (John Wiley, New York, 1975).Google Scholar
10Levin, M. L.Zh. Tekh. Fiz. 18, 1399 (1948).Google Scholar
11Rytov, S.M.Zh. Eksp. Teor. Fiz. 29, 605 (1955); Sov. Phys. JETP 2, 466 (1956).Google Scholar
12Rytov, S. M.Akust. Zh. 2, 71 (1956); Sov. Phys. Acoust. 2, 67 (1956).Google Scholar
13Braga, A. M. B. and Herrmann, G. in Wave Propagation in Structural Composites, edited by Mai, A. K. and Ting, T. C. T. (ASME, New York, 1988), AMD-Vol. 90.Google Scholar
14Hochstadt, H.Differential Equations: A Modern Approach (Dover, New York, 1975).Google Scholar
15Varadan, V. V.Lakhtakia, A. and Varadan, V. K. Optik (in press, 1989).Google Scholar