OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 3 — Mar. 1, 2014
  • pp: 510–517

Dyadic Green’s function of an eccentrically stratified sphere

Angela P. Moneda and Dimitrios P. Chrissoulidis  »View Author Affiliations


JOSA A, Vol. 31, Issue 3, pp. 510-517 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000510


View Full Text Article

Enhanced HTML    Acrobat PDF (486 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The electric dyadic Green’s function (dGf) of an eccentrically stratified sphere is built by use of the superposition principle, dyadic algebra, and the addition theorem of vector spherical harmonics. The end result of the analytical formulation is a set of linear equations for the unknown vector wave amplitudes of the dGf. The unknowns are calculated by truncation of the infinite sums and matrix inversion. The theory is exact, as no simplifying assumptions are required in any one of the analytical steps leading to the dGf, and it is general in the sense that any number, position, size, and electrical properties can be considered for the layers of the sphere. The point source can be placed outside of or in any lossless part of the sphere. Energy conservation, reciprocity, and other checks verify that the dGf is correct. A numerical application is made to a stratified sphere made of gold and glass, which operates as a lens.

© 2014 Optical Society of America

OCIS Codes
(290.5850) Scattering : Scattering, particles
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: October 31, 2013
Manuscript Accepted: December 19, 2013
Published: February 13, 2014

Citation
Angela P. Moneda and Dimitrios P. Chrissoulidis, "Dyadic Green’s function of an eccentrically stratified sphere," J. Opt. Soc. Am. A 31, 510-517 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-3-510


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. C. T. Tai, Dyadic Green Functions in Electromagnetic Theory, 2nd ed. (IEEE, 1993).
  2. L. W. Li, P. S. Kooi, M. S. Leong, and T. S. Yeo, “Electromagnetic dyadic Green’s function in spherically multilayered media,” IEEE Trans. Microw. Theory Tech. 42, 2302–2310 (1994). [CrossRef]
  3. A. P. Moneda and D. P. Chrissoulidis, “Dyadic Green’s function of a sphere with an eccentric spherical inclusion,” J. Opt. Soc. Am. A 24, 1695–1703 (2007). [CrossRef]
  4. A. P. Moneda and D. P. Chrissoulidis, “Dyadic Green’s function of a cluster of spheres,” J. Opt. Soc. Am. A 24, 3437–3443 (2007). [CrossRef]
  5. K. Lim and S. S. Lee, “Analysis of electromagnetic scattering from an eccentric multilayered sphere,” IEEE Trans. Antennas Propag. 43, 1325–1328 (1995).
  6. N. C. Skaropoulos, M. P. Ioannidou, and D. P. Chrissoulidis, “Induced EM field in a layered eccentric spheres model of the head: plane–wave and localized source exposure,” IEEE Trans. Microw. Theory Tech. 44, 1963–1973 (1996). [CrossRef]
  7. B. Stout, C. Andraud, S. Stout, and J. Lafait, “Absorption in multiple-scattering systems of coated spheres,” J. Opt. Soc. Am. A 20, 1050–1059 (2003). [CrossRef]
  8. S. M. S. Reyhani and R. J. Glover, “Electromagnetic dyadic Green’s function for a multilayered homogeneous lossy dielectric spherical head model for numerical EMC investigation,” Electromagnetics 20, 141–153 (2000). [CrossRef]
  9. K. S. Nikita, S. Stamatakos, S. Georgios, N. K. Uzunoglu, and A. Karafotias, “Analysis of the interaction between a layered spherical human head model and a finite–length dipole,” IEEE Trans. Microw. Theory Tech. 48, 2003–2013 (2000). [CrossRef]
  10. F. Liu and S. Crozier, “Electromagnetic fields inside a lossy, multilayered spherical head phantom excited by MRI coils: models and methods,” Phys. Med. Biol. 49, 1835–1851 (2004). [CrossRef]
  11. J. Kim and Y. Rahmat-Samii, “Implanted antennas inside a human body: simulations, designs, and characterizations,” IEEE Trans. Microw. Theory Tech. 52, 1934–1943 (2004). [CrossRef]
  12. H. Mosallaei and Y. Rahmat-Samii, “Nonuniform Luneburg and two–shell antennas: radiation characteristics and design optimization,” IEEE Trans. Antennas Propag. 49, 60–69 (2001).
  13. C. T. Tai and R. E. Collin, “Radiation of a Hertzian dipole immersed in a dissipative medium,” IEEE Trans. Antennas Propag. 48, 1501–1506 (2000). [CrossRef]
  14. P. M. Morse and H. Feshbach, “Vector fields,” Methods of Theoretical Physics (McGraw-Hill, 1953), Vol. II, pp. 1864–1891.
  15. S. Stein, “Addition theorems for spherical vector wave functions,” Q. Appl. Math. 19, 15–24 (1961).
  16. O. R. Cruzan, “Translational addition theorems for spherical vector wave functions,” Q. Appl. Math. 20, 33–40 (1962).
  17. Y. L. Xu, “Fast evaluation of the Gaunt coefficients,” Math. Comput. 65, 1601–1612 (1996). [CrossRef]
  18. Y. L. Xu, “Efficient evaluation of vector translation coefficients in multiparticle light-scattering theories,” J. Comput. Phys. 139, 137–165 (1998). [CrossRef]
  19. D. W. Mackowski, “Analysis of radiative scattering for multiple sphere configurations,” Proc. R. Soc. Lond. Ser. A 433, 599–614 (1991).
  20. A. P. Moneda and D. P. Chrissoulidis, “Focusing of electromagnetic waves by non–spherical, Au–Si nano–particles,” in Proceedings of XIII Mediterranean Conference on Medical and Biological Engineering and Computing 2013 (Springer, 2014), Vol. 41, pp. 837–840.
  21. P. B. Johnson and R. W. Christie, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972). [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