Table of Contents Author Guidelines Submit a Manuscript
International Journal of Antennas and Propagation
Volume 2017 (2017), Article ID 3205198, 8 pages
https://doi.org/10.1155/2017/3205198
Research Article

Anisotropic Scattering Characteristics of a Radially Multilayered Gyrotropic Sphere

School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Correspondence should be addressed to Kai Kang; nc.ude.ctseu@iakgnak

Received 24 April 2017; Accepted 24 July 2017; Published 28 September 2017

Academic Editor: Safieddin Safavi-Naeini

Copyright © 2017 Lei Cao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. Luo, W. Lu, Z. Hang et al., “Arbitrary control of electromagnetic flux in inhomogeneous anisotropic media with near-zero index,” Physical Review Letters, vol. 112, no. 7, Article ID 073903, 2014. View at Publisher · View at Google Scholar · View at Scopus
  2. Z.-J. Li, H.-Y. Li, and Z.-S. Wu, “Analysis of electromagnetic scattering by uniaxial anisotropic bispheres,” Journal of the Optical Society of America A: Optics and Image Science, and Vision, vol. 28, no. 2, pp. 118–125, 2011. View at Publisher · View at Google Scholar · View at Scopus
  3. Y. Petrov, “Anisotropic spherical head model and its application to imaging electric activity of the brain,” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 86, no. 1, Article ID 011917, 2012. View at Publisher · View at Google Scholar · View at Scopus
  4. K. Sainath and F. L. Teixeira, “Tensor Green's function evaluation in arbitrarily anisotropic, layered media using complex-plane Gauss-Laguerre quadrature,” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 89, no. 5, Article ID 053303, 2014. View at Publisher · View at Google Scholar · View at Scopus
  5. T.-J. Guo, T.-F. Li, M. Yang et al., “Nonreciprocal optical diffraction by a single layer of gyromagnetic cylinders,” Optics Express, vol. 22, no. 1, pp. 537–546, 2014. View at Publisher · View at Google Scholar · View at Scopus
  6. R. C. Haussman and M. Deserno, “Effective field theory of thermal Casimir interactions between anisotropic particles,” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 89, no. 6, Article ID 062102, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. J. Christensen and F. J. G. de Abajo, “Anisotropic metamaterials for full control of acoustic waves,” Physical Review Letters, vol. 108, no. 12, Article ID 124301, 2012. View at Google Scholar
  8. Z. Wu, M. Levy, V. J. Fratello, and A. M. Merzlikin, “Gyrotropic photonic crystal waveguide switches,” Applied Physics Letters, vol. 96, no. 5, Article ID 051125, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. N. K. Dissanayake, M. Levy, A. A. Jalali, and V. J. Fratello, “Gyrotropic band gap optical sensors,” Applied Physics Letters, vol. 96, no. 18, Article ID 181105, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. G. W. Ford, J. K. Furdyna, and S. A. Werner, “Electromagnetic excitations of a small gyrotropic sphere,” Physical Review B, vol. 12, no. 4, pp. 1452–1465, 1975. View at Publisher · View at Google Scholar · View at Scopus
  11. R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 69, no. 2, Article ID 026606, pp. 1–26606, 2004. View at Publisher · View at Google Scholar · View at Scopus
  12. G. W. Ford and S. A. Werner, “Scattering and absorption of electromagnetic waves by a gyrotropic sphere,” Physical Review B, vol. 18, no. 12, pp. 6752–6769, 1978. View at Publisher · View at Google Scholar · View at Scopus
  13. Y.-L. Geng, X.-B. Wu, L.-W. Li, and B.-R. Guan, “Mie scattering by a uniaxial anisotropic sphere,” Physical Review E, vol. 70, no. 5, Article ID 056609, 2004. View at Google Scholar
  14. Y.-L. Geng, X.-B. Wu, and L.-W. Li, “Characterization of electromagnetic scattering by a plasma anisotropic spherical shell,” IEEE Antennas and Wireless Propagation Letters, vol. 3, no. 1, pp. 100–103, 2004. View at Publisher · View at Google Scholar · View at Scopus
  15. Y.-L. Geng, C.-W. Qiu, and N. Yuan, “Exact solution to electromagnetic scattering by an impedance sphere coated with a uniaxial anisotropic layer,” Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation, vol. 57, no. 2, pp. 572–576, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. A. Eroglu and J. K. Lee, “Dyadic green’s functions for an electrically gyrotropic medium,” Progress In Electromagnetics Research, vol. 58, pp. 223–241, 2006. View at Google Scholar
  17. A. Eroglu and J. K. Lee, “Simplified formulation of dyadic green’s functions and their duality relations for general anisotropic media,” Progress In Electromagnetics Research, vol. 77, pp. 391–408, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. L.-W. Li, N.-H. Lim, W.-Y. Yin, and J.-A. Kong, “Eigenfunctional expansion of dyadic Green's functions in gyrotropic media using cylindrical vector wave functions,” Progress in Electromagnetics Research, vol. 43, pp. 101–121, 2003. View at Publisher · View at Google Scholar · View at Scopus
  19. B. Stout, M. Nevière, and E. Popov, “T matrix of the homogeneous anisotropic sphere: applications to orientation-averaged resonant scattering,” J. Opt. Soc. Am. A, vol. 24, no. 4, pp. 1120–1130, 2007. View at Google Scholar
  20. Z. Lin and S. T. Chui, “Electromagnetic scattering by optically anisotropic magnetic particle,” Physical Review E, vol. 69, no. 5, Article ID 056614, 2004. View at Google Scholar
  21. J. L. Li and W.-L. Ong, “A new solution for characterizing electromagnetic scattering by a gyroelectric sphere,” Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation, vol. 59, no. 9, pp. 3370–3378, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. J. L.-W. Li, W.-L. Ong, and K. H. R. Zheng, “Anisotropic scattering effects of a gyrotropic sphere characterized using the T-matrix method,” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 85, no. 3, Article ID 036601, 2012. View at Publisher · View at Google Scholar · View at Scopus
  23. L. Cao, J. L. Li, and J. Hu, “A new T-matrix formulation for electromagnetic scattering by a radially multilayered gyroelectric sphere,” Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation, vol. 61, no. 2, pp. 836–842, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. C.-W. Qiu, L.-W. Li, Q. Wu, and T.-S. Yeo, “Field representations in general gyrotropic media in spherical coordinates,” IEEE Antennas and Wireless Propagation Letters, vol. 4, no. 1, pp. 467–470, 2005. View at Publisher · View at Google Scholar · View at Scopus
  25. C.-W. Qiu, L.-W. Li, T.-S. Yeo, and S. Zouhdi, “Scattering by rotationally symmetric anisotropic spheres: Potential formulation and parametric studies,” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 75, no. 2, Article ID 026609, 2007. View at Publisher · View at Google Scholar · View at Scopus
  26. C.-W. Qiu, S. d. Zouhdi, and A. Razek, “Modified spherical wave functions with anisotropy ratio: application to the analysis of scattering by multilayered anisotropic shells,” Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation, vol. 55, no. 12, pp. 3515–3523, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. C.-W. Qiu and B. Luk'yanchuk, “Peculiarities in light scattering by spherical particles with radial anisotropy,” Journal of the Optical Society of America A, vol. 25, no. 7, pp. 1623–1628, 2008. View at Publisher · View at Google Scholar · View at Scopus
  28. C.-W. Qiu, L. Hu, X. Xu, and Y. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 79, no. 4, Article ID 047602, 2009. View at Publisher · View at Google Scholar · View at Scopus
  29. C.-W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 1, Article ID 016604, 2009. View at Publisher · View at Google Scholar · View at Scopus
  30. C.-W. Qiu, L. Gao, J. D. Joannopoulos, and M. Soljacic, “Light scattering from anisotropic particles: propagation, localization, and nonlinearity,” Laser & Photonics Reviews, 2010. View at Google Scholar
  31. D. Sarkar and N. J. Halas, “General vector basis function solution of Maxwell's equations,” Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, vol. 56, no. 1, part B, pp. 1102–1112, 1997. View at Publisher · View at Google Scholar · View at MathSciNet
  32. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, John Wiley & Sons, NY, USA, 1998.
  33. Y.-L. Geng, S.-X. Guo, and L.-W. Li, “EM scattering by radially multilayered uniaxial anisotropic spheres,” in Proceedings of the Asia Pacific Microwave Conference 2009, APMC 2009, pp. 669–672, sgp, December 2009. View at Publisher · View at Google Scholar · View at Scopus
  34. Y.-L. Xu, “Electromagnetic scattering by an aggregate of spheres: far field,” Applied Optics, vol. 36, no. 36, pp. 9496–9508, 1997. View at Publisher · View at Google Scholar · View at Scopus
  35. W. J. Wiscombe, “Improved mie scattering algorithms,” Applied Optics, vol. 19, no. 9, pp. 1505–1509, 1980. View at Publisher · View at Google Scholar · View at Scopus
  36. J. R. Allardice and E. C. Le Ru, “Convergence of mie theory series: criteria for far-field and near-field properties,” Applied Optics, vol. 53, no. 31, pp. 7224–7229, 2014. View at Google Scholar