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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 2 — Jan. 21, 2008
  • pp: 1150–1164

Propagation of electromagnetic waves in stratified media with nonlinearity in both dielectric and magnetic responses

Kihong Kim, D. K. Phung, F. Rotermund, and H. Lim  »View Author Affiliations


Optics Express, Vol. 16, Issue 2, pp. 1150-1164 (2008)
http://dx.doi.org/10.1364/OE.16.001150


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Abstract

We develop a generalized version of the invariant imbedding method, which allows us to solve the electromagnetic wave equations in arbitrarily inhomogeneous stratified media where both the dielectric permittivity and magnetic permeability depend on the strengths of the electric and magnetic fields, in a numerically accurate and efficient manner. We apply our method to a uniform nonlinear slab and find that in the presence of strong external radiation, an initially uniform medium of positive refractive index can spontaneously change into a highly inhomogeneous medium where regions of positive or negative refractive index as well as metallic regions appear. We also study the wave transmission properties of periodic nonlinear media and the influence of nonlinearity on the mode conversion phenomena in inhomogeneous plasmas. We argue that our theory is very useful in the study of the optical properties of a variety of nonlinear media including nonlinear negative index media fabricated using wires and split-ring resonators.

© 2008 Optical Society of America

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(190.5940) Nonlinear optics : Self-action effects

ToC Category:
Nonlinear Optics

History
Original Manuscript: November 30, 2007
Revised Manuscript: January 12, 2008
Manuscript Accepted: January 13, 2008
Published: January 15, 2008

Citation
Kihong 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)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-2-1150


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References

  1. R. W. Boyd, Nonlinear Optics, 2nd ed. (Academic Press, 2003).
  2. W. S. Weiglhofer and A. Lakhtakia, eds., Introduction to Complex Mediums for Optics and Electromagnetics (SPIE Press, 2003). [CrossRef]
  3. K. Huang, L. M. Kahn, and D. L. Mills, "Optical transmissivity of superlattices with nonlinear magnetic susceptibility and absorption," Phys. Rev. B 41, 7981-7987 (1990). [CrossRef]
  4. D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, "Metamaterials and negative refractive index," Science 305, 788-792 (2004). [CrossRef] [PubMed]
  5. V. M. Shalaev, "Optical negative-index metamaterials," Nat. Photonics 1, 41-48 (2007). [CrossRef]
  6. J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000). [CrossRef] [PubMed]
  7. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001). [CrossRef] [PubMed]
  8. A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, "Nonlinear properties of left-handed metamaterials," Phys. Rev. Lett. 91, 037401 (2003). [CrossRef] [PubMed]
  9. S. O’Brien, D. McPeake, S. A. Ramakrishna, and J. B. Pendry, "Near-infrared photonic band gaps and nonlinear effects in negative magnetic metamaterials," Phys. Rev. B 69, 241101(R) (2004).
  10. N. A. Zharova, I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction," Opt. Express 13, 1291-1298 (2005). [CrossRef] [PubMed]
  11. I. V. Shadrivov and Y. S. Kivshar, "Spatial solitons in nonlinear left-handed metamaterials," J. Opt. A: Pure Appl. Opt. 7, S68-S72 (2005). [CrossRef]
  12. M. Scalora, G. D’Aguanno, M. Bloemer, M. Centini, D. de Ceglia, N. Mattiucci, and Y. S. Kivshar, "Dynamics of short pulses and phase matched second harmonic generation in negative index materials," Opt. Express 14, 4746-4756 (2006). [CrossRef] [PubMed]
  13. G. I. Babkin and V. I. Klyatskin, "Theory of wave propagation in nonlinear inhomogeneous media," Sov. Phys. JETP 52, 416-420 (1980).
  14. H. F. Arnoldus and T. F. George, "Theory of optical phase conjugation in Kerr media," Phys. Rev. A 51, 4250-4263 (1995). [CrossRef] [PubMed]
  15. R. Bellman and G. M. Wing, An Introduction to Invariant Imbedding (Wiley, 1976).
  16. V. I. Klyatskin, "The imbedding method in statistical boundary-value wave problems," Prog. Opt. 33, 1-127 (1994). [CrossRef]
  17. R. Rammal and B. Doucot, "Invariant-imbedding approach to localization. I. General framework and basic equations," J. Phys. (Paris) 48, 509-526 (1987). [CrossRef]
  18. B. Doucot and R. Rammal, "Invariant-imbedding approach to localization. II. Non-linear random media," J. Phys. (Paris) 48, 527-546 (1987). [CrossRef]
  19. 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]
  20. K. Kim, "Reflection coefficient and localization length of waves in one-dimensional random media," Phys. Rev. B 58, 6153-6160 (1998). [CrossRef]
  21. 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]
  22. 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]
  23. H. Chang and L. C. Chen, "Simple numerical approach for determining the optical response of a nonlinear dielectric film for both TE and TM waves," Phys. Rev. B 43, 9436-9441 (1991). [CrossRef]
  24. W. Chen and D. L. Mills, "Optical behavior of a nonlinear thin film with oblique S-polarized incident wave," Phys. Rev. B 38, 12814-12822 (1988). [CrossRef]
  25. W. Chen and D. L. Mills, "Optical response of nonlinear multilayer structures: Bilayers and superlattices," Phys. Rev. B 36, 6269-6278 (1987). [CrossRef]
  26. A. V. Kochetov and A. M. Feigin, "Bleaching of dense plasma by an intense TM wave," Sov. J. Plasma Phys. 14, 423-429 (1988).
  27. V. B. Gil’denburg, A. V. Kochetov, A. G. Litvak, and A. M. Feigin, "Self-sustaining waveguide channels in a plasma," Sov. Phys. JETP 57, 28-34 (1983).
  28. V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas (Pergamon, 1970).

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