OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 7, Iss. 3 — Feb. 29, 2012

Multiple scattering of electromagnetic waves by an aggregate of uniaxial anisotropic spheres

Zheng-Jun Li, Zhen-Sen Wu, Yan’e Shi, Lu Bai, and Hai-Ying Li  »View Author Affiliations


JOSA A, Vol. 29, Issue 1, pp. 22-31 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000022


View Full Text Article

Enhanced HTML    Acrobat PDF (1886 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

An exact analytical solution is obtained for the scattering of electromagnetic waves from a plane wave with arbitrary directions of propagation and polarization by an aggregate of interacting homogeneous uniaxial anisotropic spheres with parallel primary optical axes. The expansion coefficients of a plane wave with arbitrary directions of propagation and polarization, for both TM and TE modes, are derived in terms of spherical vector wave functions. The effects of the incident angle α and the polarization angle β on the radar cross sections (RCSs) of several types of collective uniaxial anisotropic spheres are numerically analyzed in detail. The characteristics of the forward and backward RCSs in relation to the incident wavelength are also numerically studied. Selected results on the forward and backward RCSs of several types of square arrays of SiO 2 spheres illuminated by a plane wave with different incident angles are described. The accuracy of the expansion coefficients of the incident fields is verified by comparing them with the results obtained from references when the plane wave is degenerated to a z-propagating and x- or y-polarized plane wave. The validity of the theory is also confirmed by comparing the numerical results with those provided by a CST simulation.

© 2012 Optical Society of America

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles

ToC Category:
Scattering

History
Original Manuscript: August 2, 2011
Revised Manuscript: October 11, 2011
Manuscript Accepted: October 19, 2011
Published: December 7, 2011

Virtual Issues
Vol. 7, Iss. 3 Virtual Journal for Biomedical Optics

Citation
Zheng-Jun Li, Zhen-Sen Wu, Yan’e Shi, Lu Bai, and Hai-Ying Li, "Multiple scattering of electromagnetic waves by an aggregate of uniaxial anisotropic spheres," J. Opt. Soc. Am. A 29, 22-31 (2012)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-29-1-22


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. R. D. Graglia and P. L. E. Uslenghi, “Electromagnetic scattering from anisotropic materials, part I: general theory,” IEEE Trans. Antennas Propag. 32, 867–869 (1984). [CrossRef]
  2. B. Stout, M. Nevière, and E. Popov, “Mie scattering by an anisotropic object. Part I. homogeneous sphere,” J. Opt. Soc. Am. A 23, 1111–1123 (2006). [CrossRef]
  3. J. Schneider and S. Hudson, “The finite-difference time-domain method applied to anisotropic material,” IEEE Trans. Antennas Propag. 41, 994–995 (1993). [CrossRef]
  4. J. Schuster and R. J. Lubber, “Finite difference time domain analysis of arbitrarily biased magnetized ferrites,” Radio Sci. 31, 923–929 (1996). [CrossRef]
  5. L. X. Dou and A. R. Sebak, “3D FDTD method for arbitrary anisotropic materials,” Microwave Opt. Technol. Lett. 48, 2083–2090 (2006). [CrossRef]
  6. R. D. Graglia, P. L. E. Uslenghi, and R. S. Zich, “Moment method with isoparametric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989). [CrossRef]
  7. V. V. Varadan, A. Lakhtakia, and V. K. Varadan, “Scattering by three-dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. 37, 800–802 (1989). [CrossRef]
  8. K. L. Wong and H. T. Chen, “Electromagnetic scattering by a uniaxially anisotropic sphere,” IEE Proc. H 139, 314–318 (1992). [CrossRef]
  9. C. W. Qiu, L. W. Li, and T. S. Yeo, “Scattering by rotationally symmetric anisotropic spheres: potential formulation and parametric studies,” Phys. Rev. E 75, 026609 (2007). [CrossRef]
  10. Y. L. Geng, X. B. Wu, and L. W. Li, “Mie scattering by a uniaxial anisotropic sphere,” Phys. Rev. E 70056609 (2004). [CrossRef]
  11. Z. S. Wu, Q. K. Yuan, Y. Peng, and Z. J. Li, “Internal and external electromagnetic fields for on-axis Gaussian beam scattering from a uniaxial anisotropic sphere,” J. Opt. Soc. Am. A 26, 1778–1787 (2009). [CrossRef]
  12. Q. K. Yuan, Z. S. Wu, and Z. J. Li, “Electromagnetic scattering for a uniaxial anisotropic sphere in an off-axis obliquely incident Gaussian beam,” J. Opt. Soc. Am. A 27, 1457–1465 (2010). [CrossRef]
  13. J. H. Brunding and Y. T. Lo, “Multiple scattering of EM waves by spheres part I-multipole expansion and ray-optical solutions,” IEEE Trans. Antennas Propag. 19, 378–390 (1971). [CrossRef]
  14. J. H. Brunding and Y. T. Lo, “Multiple scattering of EM waves by spheres part II-numerical and experimental results,” IEEE Trans. Antennas Propag. 19, 391–400 (1971). [CrossRef]
  15. K. A. Fuller and G. W. Kattawar, “Consummate solution to the problem of classical electromagnetic scattering by an ensemble of spheres I: linear chains,” Opt. Lett. 13, 90–92 (1988). [CrossRef] [PubMed]
  16. K. A. Fuller and G. W. Kattawar, “Consummate solution to the problem of classical electromagnetic scattering by an ensemble of spheres II: clusters of arbitrary configuration,” Opt. Lett. 13, 1063–1065 (1988). [CrossRef] [PubMed]
  17. F. Borghese, P. Denti, G. Toscano, and O. I. Sindoni, “Electromagnetic scattering by a cluster of spheres,” Appl. Opt. 18, 116–120 (1979). [CrossRef] [PubMed]
  18. F. Borghese, P. Denti, R. Saija, and G. Toscano, “Multiple electromagnetic scattering from a cluster of spheres. I. Theory,” Aerosol Sci. Tecnol. 3, 227–235 (1984). [CrossRef]
  19. D. W. Mackowski, “Analysis of radiative scattering for multiple sphere configurations,” Proc. R. Soc. Lond. A 433, 599–614(1991). [CrossRef]
  20. D. W. Mackowski, “Calculation of total cross section of multiple-sphere clusters,” J. Opt. Soc. Am. A 11, 2851–2861 (1994). [CrossRef]
  21. D. W. Mackowski, “Calculation of the T matrix and the scattering matrix for ensembles of spheres,” J. Opt. Soc. Am. A 13, 2266–2277 (1996). [CrossRef]
  22. Y. L. Xu, “Electromagnetic scattering by an aggregate of spheres,” Appl. Opt. 34, 4573–4588 (1995). [CrossRef] [PubMed]
  23. Y. L. Xu, B. Å. S. Gustafson, F. Giovane, J. Blum, and S. Tehranian, “Calculation of the heat-source function in photophoresis of aggregated spheres,” Phys. Rev. E 60, 2347–2365(1999). [CrossRef]
  24. Y. Xu, “Calculation of the addition coefficients in electromagnetic multisphere-scattering theory,” J. Comput. Phys. 127, 285–298 (1996). [CrossRef]
  25. Z. J. Li, Z. S. Wu, and H. Y. Li, “Analysis of electromagnetic scattering by uniaxial anisotropic bispheres,” J. Opt. Soc. Am. A 28, 118–125 (2011). [CrossRef]
  26. W. J. Wiscombe, “Improved Mie scattering algorithms,” Appl. Opt. 19, 1505–1509 (1980). [CrossRef] [PubMed]
  27. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  28. D. Sarkar and N. J. Halas, “General vector basis function solution of Maxwell’s equations,” Phys. Rev. E 56, 1102–1112(1997). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited