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Applied Optics

Applied Optics


  • Vol. 29, Iss. 25 — Sep. 1, 1990
  • pp: 3627–3632

Dilute random distribution of small chiral spheres

Akhlesh Lakhtakia, Vijay K. Varadan, and Vasundara V. Varadan  »View Author Affiliations

Applied Optics, Vol. 29, Issue 25, pp. 3627-3632 (1990)

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The problem solved here consists of estimating the effective-medium properties of a chiral composite made of a dilute concentration of small noninteracting chiral spheres, randomly suspended in free space. Volume integral equations, to determine the scattering characteristics of an inhomogeneous chiral scatterer, are obtained. These equations are used to derive the general electromagnetic polarizability matrix of a small, homogeneous, chiral sphere embedded in free space. Finally, from the polarizability matrix, several conclusions regarding the effective properties of the chiral composite are obtained.

© 1990 Optical Society of America

Original Manuscript: December 4, 1989
Revised Manuscript: April 13, 1990
Published: September 1, 1990

Akhlesh Lakhtakia, Vijay K. Varadan, and Vasundara V. Varadan, "Dilute random distribution of small chiral spheres," Appl. Opt. 29, 3627-3632 (1990)

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  1. M. P. Silverman, R. B. Sohn, “Effects of Circular Birefringence on Light Propagation and Reflection,” Am. J. Phys. 54, 69–76 (1986). [CrossRef]
  2. A. Lakhtakia, V. K. Varadan, V. V. Varadan, Time-Harmonic Electromagnetic Fields in Chiral Media (Springer-Verlag, Berlin, 1989).
  3. K. F. Lindman, “Über die durch ein aktives Raumgitter erzeugte Rotations polarisation der elektromagnetischen Wellen,” Ann. Phys. Leipzig 69, 270–284 (1922). [CrossRef]
  4. I. Tinoco, M. P. Freeman, “The Optical Activity of Oriented Copper Helices. I. Experimental,” J. Phys. Chem. 61, 1196–1200 (1957). [CrossRef]
  5. T. Guire, M. Umari, V. V. Varadan, V. K. Varadan, “Microwave Measurements on Chiral Composites,” in Abstracts USNC/URSI Radio Science Meeting, Syracuse, NY (6–10 June 1988).
  6. O. Vogl, G. D. Jaycox, F. Xi, K. Hatada, “Helical Polymers: Optical Activity Based on Rigid Macromolecular Conformation,” Polym. Prepr. Am. Chem. Soc. Div. Polym. Chem. 30, 435–436 (1989).
  7. V. V. Varadan, Y. Ma, V. K. Varadan, “Effects of Chiral Microstructure on EM Wave Propagation in a Lossy Dielectric Composite Material,” Radio Sci. 24, 785–792 (1989). [CrossRef]
  8. D. S. Jones, “Low Frequency Electromagnetic Radiation,” J. Inst. Math. Appl. 23, 421–447 (1979). [CrossRef]
  9. C. T. Tai, “A Note on the Integral Equations for the Scattering of a Plane Wave by an Electromagnetically Permeable Body,” Electromagnetics 5, 79–88 (1985). [CrossRef]
  10. R. F. Harrington, Field Computation by Moment Methods (Macmillan, New York, 1968).
  11. H. C. Chen, Theory of Electromagnetic Waves (McGraw-Hill, New York, 1983).
  12. W. Weiglhofer, “Delta-Function Identities and Electromagnetic Field Singularities,” Am. J. Phys. 57, 455–456 (1989). [CrossRef]
  13. K. M. Chen, “Interaction of Electromagnetic Fields with Biological Bodies,” in Research Topics in Electromagnetic Wave Theory, J. A. Kong, Ed. (Wiley, New York, 1980).
  14. D. S. Jones, Methods in Electromagnetic Wave Propagation (Oxford, U.P., London, 1979).
  15. C. F. Bohren, “Light Scattering by an Optically Active Sphere,” Chem. Phys. Lett. 29, 459–462 (1974). [CrossRef]
  16. S. B. Singham, “Intrinsic Optical Activity in Light Scattering From an Arbitrary Particle,” Chem. Phys. Lett. 130, 139–144 (1986). [CrossRef]
  17. A. H. Sihvola, I. V. Lindell, “Chiral Maxwell-Garnet Mixing Formula,” Electron. Lett. 26, 118–119 (1990). [CrossRef]
  18. C. Kittel, Introduction to Solid State Physics (Wiley Eastern, New Delhi, 1974).
  19. J. Applequist, “Optical Activity: Biot’s Bequest,” Am. Sci. 75, 59–68 (1987).
  20. J. C. Monzon, “Radiation and Scattering in Homogeneous General Biisotropic Regions,” IEEE Trans. Antennas Propag AP-38, 227–235 (1990). [CrossRef]
  21. A. Lakhtakia, V. K. Varadan, V. V. Varadan, “Influence of Impedance Mismatch Between a Chiral Scatterer and the Surrounding Chiral Medium,” J. Mod. Opt. 36, 1385–1392 (1989). [CrossRef]
  22. V. K. Varadan, V. N. Bringi, V. V. Varadan, A. Ishimaru, “Multiple Scattering Theory for Waves in Discrete Random Media and Comparison with Experiments,” Radio Sci. 18, 321–327 (1983). [CrossRef]
  23. V. K. Varadan, V. V. Varadan, Y. Ma, W. F. Hall, “Design of Ferrite-Impregnated Plastics (PVC) as Microwave Absorbers,” IEEE Trans. Microwave Theory Tech. MTT-34, 251–258 (1986). [CrossRef]
  24. Y. Ma, V. V. Varadan, V. K. Varadan, “Scattered Intensity of a Wave Propagating in a Discrete Random Medium,” Appl. Opt. 27, 2469–2477 (1988). [CrossRef] [PubMed]
  25. E. U. Condon, “Theories of Optical Rotatory Power,” Rev. Mod. Phys. 9, 432–457 (1937). [CrossRef]
  26. E. J. Post, Formal Structure of Electromagnetics (North-Holland, Amsterdam, 1962).
  27. Y. Ma, V. K. Varadan, V. V. Varadan, “Prediction of Electromagnetic Properties of Ferrite Composites,” in Progress in Electromagnetics Research, Vol. 3, A. Priou, Ed. (Elsevier, New York, 1990), in press.

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