OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 22 — Oct. 27, 2008
  • pp: 18505–18513

Resonant absorption and mode conversion in a transition layer between positive-index and negative-index media

Kihong Kim, D.-H. Lee, and H. Lim  »View Author Affiliations

Optics Express, Vol. 16, Issue 22, pp. 18505-18513 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (327 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study the propagation of electromagnetic waves through a transition layer between positive-index and negative-index media theoretically. We consider three models where both the dielectric permittivity ε and the magnetic permeability µ change linearly from positive values to negative values. At the positions where ε or µ vanishes, the mode conversion of the incident electromagnetic waves into longitudinal plasma oscillations can occur. Using the invariant imbedding theory of mode conversion in inhomogeneous media, we calculate the mode conversion coefficient and the electromagnetic field profile in a numerically exact manner. We find that strong mode conversion can occur for both s- and p-polarized incident waves. The dependence of mode conversion on polarization is influenced very sensitively by the spatial profiles of ε and µ. We also discuss the interaction effects between mode conversion phenomena occurring at two resonance points located nearby.

© 2008 Optical Society of America

OCIS Codes
(350.3618) Other areas of optics : Left-handed materials
(160.3918) Materials : Metamaterials
(260.2710) Physical optics : Inhomogeneous optical media

ToC Category:

Original Manuscript: September 8, 2008
Revised Manuscript: October 20, 2008
Manuscript Accepted: October 23, 2008
Published: October 24, 2008

Kihong Kim, D.-H. Lee, and H. Lim, "Resonant absorption and mode conversion in a transition layer between positive-index and negative-index media," Opt. Express 16, 18505-18513 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. G. Swanson, Theory of Mode Conversion and Tunneling in Inhomogeneous Plasmas (Wiley, 1998).
  2. V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas (Pergamon, 1970).
  3. K. G. Budden, The Propagation of Radio Waves (Cambridge University Press, 1985). [CrossRef]
  4. D. W. Forslund, J. M. Kindel, K. Lee, E. L. Lindman, and R. L. Morse, "Theory and simulation of resonant absorption in a hot plasma," Phys. Rev. A 11, 679-683 (1975). [CrossRef]
  5. D. E. Hinkel-Lipsker, B. D. Fried, and G. J. Morales, "Analytic expressions for mode conversion in a plasma with a linear density profile," Phys. Fluids B 4, 559-575 (1992). [CrossRef]
  6. K. Kim and D.-H. Lee, "Invariant imbedding theory of mode conversion in inhomogeneous plasmas. I. Exact calculation of the mode conversion coefficient in cold, unmagnetized plasmas," Phys. Plasmas 12, 062101 (2005). [CrossRef]
  7. S. Shiraiwa, K. Hanada, M. Hasegawa, H. Idei, H. Kasahara, O. Mitarai, K. Nakamura, N. Nishino, H. Nozato, M. Sakamoto, K. Sasaki, K. Sato, Y. Takase, T. Yamada, H. Zushi, and TST-2@K Group, "Heating by an electron Bernstein wave in a spherical tokamak plasma via mode conversion," Phys. Rev. Lett. 96, 185003 (2006). [CrossRef] [PubMed]
  8. E. Mjølhus, "On linear mode conversion in a magnetized plasma," Radio Sci. 25, 1321-1339 (1990). [CrossRef]
  9. K. Kim and D.-H. Lee, "Invariant imbedding theory of mode conversion in inhomogeneous plasmas. II. Mode conversion in cold, magnetized plasmas with perpendicular inhomogeneity," Phys. Plasmas 13, 042103 (2006). [CrossRef]
  10. E. H. Kim, I. H. Cairns, and P. A. Robinson, "Extraordinary-mode radiation produced by linear-mode conversion of Langmuir waves," Phys. Rev. Lett. 99, 015003 (2007). [CrossRef] [PubMed]
  11. A. M. D. McDougall and A. W. Hood, "A new look at mode conversion in a stratified isothermal atmosphere," Solar Phys. 246, 259-271 (2007). [CrossRef]
  12. J. B. Pendry, A. J. Holden, D. J. Robbins, andW. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999). [CrossRef]
  13. F. Magnus, B. Wood, J. Moore, K. Morrison, G. Perkins, J. Fyson, M. C. K. Wiltshire, D. Caplin, L. F. Cohen, and J. B. Pendry, "A d.c. magnetic metamaterial," Nat. Mater. 7, 295-297 (2008). [CrossRef] [PubMed]
  14. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp. 10, 509-514 (1968). [CrossRef]
  15. J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000). [CrossRef] [PubMed]
  16. D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, "Metamaterials and negative refractive index," Science 305, 788-792 (2004). [CrossRef] [PubMed]
  17. V. M. Shalaev, "Optical negative-index metamaterials," Nat. Photonics 1, 41-48 (2007). [CrossRef]
  18. N. M. Litchinitser, A. I. Maimistov, I. R. Gabitov, R. Z. Sagdeev, and V. M. Shalaev, "From positive- to negativeindex materials: Transitional phenomena," arXiv:0801.0241v3.
  19. V. I. Klyatskin, "The imbedding method in statistical boundary-value wave problems," Prog. Opt. 33, 1-127 (1994). [CrossRef]
  20. R. Rammal and B. Doucot, "Invariant-imbedding approach to localization. I. General framework and basic equations," J. Phys. (Paris) 48, 509-526 (1987). [CrossRef]
  21. K. Kim, D.-H. Lee, and H. Lim, "Theory of the propagation of coupled waves in arbitrarily inhomogeneous stratified media," Europhys. Lett. 69, 207-213 (2005). [CrossRef]
  22. K. Kim, D. K. Phung, F. Rotermund, and H. Lim, "Propagation of electromagnetic waves in stratified media with nonlinearity in both dielectric and magnetic responses," Opt. Express 16, 1150-1164 (2008). [CrossRef] [PubMed]
  23. K. Kim, F. Rotermund, and H. Lim, "Disorder-enhanced transmission of a quantum mechanical particle through a disordered tunneling barrier in one dimension: Exact calculation based on the invariant imbedding method," Phys. Rev. B 77, 024203 (2008). [CrossRef]
  24. A. K. Sarychev, D. J. Bergman, and Y. Yagil, "Theory of the optical and microwave properties of metal-dielectric films," Phys. Rev. B 51, 5366-5385 (1995). [CrossRef]
  25. L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and G. H. Derrick, "Periodic models for thin optimal absorbers of electromagnetic radiation," Phys. Rev. B 55, R16072-R16075 (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