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. 27, Iss. 7 — Jul. 1, 2010
  • pp: 1679–1687

Electromagnetic energy within a magnetic infinite cylinder and scattering properties for oblique incidence

Tiago José Arruda and Alexandre Souto Martinez  »View Author Affiliations


JOSA A, Vol. 27, Issue 7, pp. 1679-1687 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001679


View Full Text Article

Acrobat PDF (488 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We analytically calculate the time-averaged electromagnetic energy stored inside a nondispersive magnetic isotropic cylinder that is obliquely irradiated by an electromagnetic plane wave. An expression for the optical-absorption efficiency in terms of the magnetic internal coefficients is also obtained. In the low absorption limit, we derive a relation between the normalized internal energy and the optical-absorption efficiency that is not affected by the magnetism and the incidence angle. This relation, indeed, seems to be independent of the shape of the scatterer. This universal aspect of the internal energy is connected to the transport velocity and consequently to the diffusion coefficient in the multiple scattering regime. Magnetism favors high internal energy for low size parameter cylinders, which leads to a low diffusion coefficient for electromagnetic propagation in 2D random media.

© 2010 Optical Society of America

OCIS Codes
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: April 12, 2010
Revised Manuscript: May 22, 2010
Manuscript Accepted: May 27, 2010
Published: June 22, 2010

Citation
Tiago José Arruda and Alexandre Souto Martinez, "Electromagnetic energy within a magnetic infinite cylinder and scattering properties for oblique incidence," J. Opt. Soc. Am. A 27, 1679-1687 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-7-1679


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, “Effect of the magnetic permeability on photonic band gaps,” Phys. Rev. B 56, 959–962 (1997). [CrossRef]
  2. P. Chen, R. X. Wu, J. Xu, A. M. Jiang, and X. Y. Ji, “Effects of magnetic anisotropy on the stop band of ferromagnetic electromagnetic band gap materials,” J. Phys.: Condens. Matter 19, 106205 (2007). [CrossRef]
  3. Z. F. Lin and S. T. Chui, “Manipulating electromagnetic radiation with magnetic photonic crystals,” Opt. Lett. 32, 2288–2290 (2007). [CrossRef]
  4. S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008). [CrossRef]
  5. Z. F. Lin and S. T. Chui, “Electromagnetic scattering by optically anisotropic magnetic particles,” Phys. Rev. E 69, 056614 (2004). [CrossRef]
  6. R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Phys. Rev. E 69, 026606 (2004). [CrossRef]
  7. F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Vanishing of energy transport and diffusion constant of electromagnetic waves in disordered magnetic media,” Phys. Rev. Lett. 85, 5563–5566 (2000). [CrossRef]
  8. F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Multiple scattering of electromagnetic waves in disordered magnetic media: localization parameter, energy transport velocity and diffusion constant,” Braz. J. Phys. 31, 65–70 (2001). [CrossRef]
  9. M. Kerker, D. S. Wang, and C. L. Giles, “Electromagnetic scattering by magnetic spheres,” J. Opt. Soc. Am. 73, 765–767 (1983). [CrossRef]
  10. F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “New effects in light scattering in disordered media and coherent backscattering cone: system of magnetic particles,” Phys. Rev. Lett. 84, 1435–1438 (2000). [CrossRef]
  11. F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Electromagnetic scattering by small magnetic particles,” J. Magn. Magn. Mater. 226–230, 1951–1953 (2001). [CrossRef]
  12. T. J. Arruda and A. S. Martinez, “Electromagnetic energy within magnetic spheres,” J. Opt. Soc. Am. A 27, 992–1001 (2010). [CrossRef]
  13. Lord Rayleigh, “The dispersal of light by a dielectric cylinder,” Philos. Mag. 36, 365–376 (1918).
  14. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).
  15. J. R. Wait, “Scattering of a plane wave from a circular dielectric cylinder at oblique incidence,” Can. J. Phys. 33, 189–195 (1955).
  16. A. C. Lind and J. M. Greenberg, “Electromagnetic scattering by obliquely oriented cylinders,” J. Appl. Phys. 37, 3195–3203 (1966). [CrossRef]
  17. R. Ruppin, “Electromagnetic energy inside an irradiated cylinder,” J. Opt. Soc. Am. A 15, 1891–1895 (1998). [CrossRef]
  18. B. A. van Tiggelen, A. Lagendijk, M. P. van Albada, and A. Tip, “Speed of light in random media,” Phys. Rev. B 45, 12233–12243 (1992). [CrossRef]
  19. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  20. A. Bott and W. Zdunkowski, “Electromagnetic energy within dielectric spheres,” J. Opt. Soc. Am. A 4, 1361–1365 (1987). [CrossRef]
  21. P. W. Barber, Light Scattering by Particles: Computational Methods (World Scientific, 1990).
  22. H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1980).
  23. M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic, 1969).
  24. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Elsevier, 2004).
  25. G. N. Watson, A Treatise on the Theory of Bessel Functions (Univ. Cambridge Press, 1958).
  26. M. I. Mishchenko and A. A. Lacis, “Manifestations of morphology-dependent resonances in Mie scattering matrices,” Appl. Math. Comput. 116, 167–179 (2000). [CrossRef]
  27. J. F. Owen, R. K. Chang, and P. W. Barber, “Internal electric field distributions of a dielectric cylinder at resonance wavelengths,” Opt. Lett. 6, 540–542 (1981). [CrossRef]
  28. P. Chylek, J. D. Pendleton, and R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonant conditions,” Appl. Opt. 24, 3940–3942 (1985). [CrossRef]
  29. K. Busch, C. M. Soukoulis, and E. N. Economou, “Transport velocity in two-dimensional random media,” Phys. Rev. B 52, 10834–10840 (1995). [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