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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 21 — Nov. 1, 2009
  • pp: 3364–3366

Frequency-domain modeling of TM wave propagation in optical nanostructures with a third-order nonlinear response

Alexander V. Kildishev, Yonatan Sivan, Natalia M. Litchinitser, and Vladimir M. Shalaev  »View Author Affiliations


Optics Letters, Vol. 34, Issue 21, pp. 3364-3366 (2009)
http://dx.doi.org/10.1364/OL.34.003364


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Abstract

An enhanced method is developed for analysis of third-order nonlinearities in optical nanostructures with a scalar magnetic field frequency-domain formulation; it is shown to produce fast and accurate results for 2D problems without a superfluous vector electric field formalism. While a standard TM representation using cubic nonlinear susceptibility results in an intractable implicit equation, our technique alleviates this problem. In addition to a universal approach, simpler, more efficient solutions are proposed for media having solely either a real (lossless Kerr-type medium) or an imaginary (nonlinear absorbing medium) nonlinearity. Combining these solutions with a finite-element method, we show simulation examples validated with alternative approaches.

© 2009 Optical Society of America

OCIS Codes
(160.4330) Materials : Nonlinear optical materials
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(160.3918) Materials : Metamaterials

ToC Category:
Materials

History
Original Manuscript: June 30, 2009
Revised Manuscript: September 28, 2009
Manuscript Accepted: October 2, 2009
Published: October 28, 2009

Citation
Alexander V. Kildishev, Yonatan Sivan, Natalia M. Litchinitser, and Vladimir M. Shalaev, "Frequency-domain modeling of TM wave propagation in optical nanostructures with a third-order nonlinear response," Opt. Lett. 34, 3364-3366 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-21-3364


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References

  1. R. L. Fante, J. Appl. Phys. 42, 4202 (1971). [CrossRef]
  2. O. V. Baghdasaryan and V. A. Permyakov, Radiophys. Quantum Electron. 21, 940 (1978). [CrossRef]
  3. J. H. Marburger and F. S. Felber, Phys. Rev. A 17, 335 (1978). [CrossRef]
  4. W. Chen and D. L. Mills, Phys. Rev. B 36, 6269 (1987). [CrossRef]
  5. U. Langbein, F. Lederer, T. Peschel, U. Trutschel, and D. Mihalache, Phys. Rep. 194, 325 (1990). [CrossRef]
  6. L. M. Brekhovskikh, Waves in Layered Media (Academic, 1960).
  7. M. Born and E. Wolf, Principles of Optics (MacMillan, 1964).
  8. H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).
  9. J. Jin, The Finite Element Method in Electromagnetics (Wiley, 1993).
  10. G. Cevini, G. Oliveri, and M. Raffetto, Microwave Opt. Technol. Lett. 48, 2524 (2006). [CrossRef]
  11. G. Birkhoff and S. Mac Lane, Survey of Modern Algebra, 4th ed. (Macmillan, 1977), pp. 102-103.
  12. See, for example, , where u=2z and Δ=2C.
  13. H. V. Baghdasaryan and T. M. Knyazyan, Opt. Quantum Electron. 31, 1059 (1999). [CrossRef]
  14. W. Cai, U. K. Chettiar, Y. Hsiao-Kuan, V. C. de Silva, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, Opt. Express 15, 3333 (2007). [CrossRef] [PubMed]
  15. S. Xiao, U. K. Chettiar, A. V. Kildishev, V. P. Drachev, I.-C. Khoo, and V. M. Shalaev, Appl. Phys. Lett. 95, 033115 (2009). [CrossRef]
  16. A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003). [CrossRef] [PubMed]
  17. S. O'Brien, D. McPeake, S. A. Ramakrishna, and J. B. Pendry, Phys. Rev. B 69, 241101 (2004). [CrossRef]
  18. A. V. Kildishev, U. K. Chettiar, Z. Liu, V. M. Shalaev, D.-H. Kwon, Z. Bayraktar, and D. H. Werner, J. Opt. Soc. Am. B 24, A34 (2007). [CrossRef]
  19. Q. Chen, L. Kuang, E. H. Sargent, and Z. Y. Wang, Appl. Phys. Lett. 83, 2115 (2003). [CrossRef]
  20. S. J. Mathews, S. C. Kumar, L. Giribabu, and S. V. Rao, Mater. Lett. 61, 4426 (2007). [CrossRef]
  21. A. V. Kildishev and N. M. Litchinitser, “Efficient simulation of non-linear effects in 2D optical nanostructures to TM waves,” Opt. Commun., submitted for publication.
  22. C. Min, P. Wang, X. Jiao, Y. Deng, and H. Ming, Opt. Express 15, 9541 (2009). [CrossRef]

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