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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 9 — Sep. 1, 2013
  • pp: 1772–1779

Surface and bulk scattering by magnetic and dielectric inhomogeneities: a first-order method

É. Dieudonné, N. Malléjac, C. Amra, and S. Enoch  »View Author Affiliations

JOSA A, Vol. 30, Issue 9, pp. 1772-1779 (2013)

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The scattering of a magnetodielectric multilayer has been studied by a first-order method. The model reported in this manuscript relies on the equivalence between heterogeneities of the medium and fictitious electric and magnetic sources. Types of inhomogeneities considered are roughness and bulk inhomogeneities and concern both permittivity and permeability. The numerical results are compared to those given in previous papers for optical scattering. It is shown in the microwave spectra that angle-resolved scattering allows identification of the scattering origins (permittivity or permeability spectra). The cases of isotropic films and metamaterials are presented and discussed.

© 2013 Optical Society of America

OCIS Codes
(230.4170) Optical devices : Multilayers
(290.0290) Scattering : Scattering
(290.5880) Scattering : Scattering, rough surfaces
(310.6870) Thin films : Thin films, other properties
(160.3918) Materials : Metamaterials

ToC Category:

Original Manuscript: April 30, 2013
Revised Manuscript: July 22, 2013
Manuscript Accepted: July 22, 2013
Published: August 15, 2013

É. Dieudonné, N. Malléjac, C. Amra, and S. Enoch, "Surface and bulk scattering by magnetic and dielectric inhomogeneities: a first-order method," J. Opt. Soc. Am. A 30, 1772-1779 (2013)

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  1. M. Matsumoto and Y. Miyata, “Thin electromagnetic wave absorber for quasi-microwave band containing aligned thin magnetic metal particles,” IEEE Trans. Magn. 33, 4459–4464 (1997). [CrossRef]
  2. J. Neige, T. Lepetit, A.-L. Adenot-Engelvin, N. Malléjac, A. Thiaville, and N. Vukadinovic, “Microwave permeability of FeNiMo flakes-polymer composites with and without an applied static magnetic field,” IEEE Trans. Magn. 49, 1005–1008 (2013). [CrossRef]
  3. P. Ikonen and S. Tretyakov, “On the advantages of magnetic materials in microstrip antenna miniaturization,” Microw. Opt. Technol. Lett. 50, 3131–3134 (2008). [CrossRef]
  4. M. Saillard and A. Sentenac, “Rigorous solutions for electromagnetic scattering from rough surfaces,” Waves Random Media 11, R103–R137 (2001). [CrossRef]
  5. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves From Rough Surfaces (Artech House, Inc., 1987).
  6. S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951). [CrossRef]
  7. A. Sentenac and J. J. Greffet, “Mean-field theory of light scattering by one-dimensional rough surfaces,” J. Opt. Soc. Am. A 15, 528–532 (1998). [CrossRef]
  8. P. Bousquet, F. Flory, and P. Roche, “Scattering from multilayer thin films: theory and experiment,” J. Opt. Soc. Am. 71, 1115–1123 (1981). [CrossRef]
  9. J. M. Elson, “Theory of light scattering from a rough surface with an inhomogeneous dielectric permittivity,” Phys. Rev. B 30, 5460–5480 (1984). [CrossRef]
  10. C. Amra, “First-order vector theory of bulk scattering in optical multilayers,” J. Opt. Soc. Am. A 10, 365–374 (1993). [CrossRef]
  11. T. M. Elfouhaily and C.-A. Guérin, “A critical survey of approximate scattering wave theories from random rough surfaces,” Waves Random Media 14, R1–R40 (2004). [CrossRef]
  12. K. F. Warnick and W. C. Chew, “Numerical simulation methods for rough surface scattering,” Waves Random Media 11, R1–R30 (2001). [CrossRef]
  13. C. Amra, C. Grèzes-Besset, and L. Bruel, “Comparison of surface and bulk scattering in optical multilayers,” Appl. Opt. 32, 5492–5503 (1993). [CrossRef]
  14. http://www.comsol.com/ .
  15. W. M. Merrill, R. E. Diaz, M. M. LoRe, M. C. Squires, and N. G. Alexopoulos, “Effective medium theories for artificial materials composed of multiple sizes of spherical inclusions in a host continuum,” IEEE Trans. Antennas Propag. 47, 142–148 (1999). [CrossRef]
  16. I. V. Melchakova, E. A. Yankovskaya, P. A. Belov, and C. R. Simovski, “Material parameters of optical metamaterials formed by nanofishnet structures,” Proc. SPIE 7754, 77541V1–V14 (2010). [CrossRef]

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