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Opt. Lett. 34, 1414-1416 (1 May 2009)
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One of our new areas of research started last year is the study of nonlinear properties of photonic crystals and photonic crystal waveguides.

Photonic crystals are usually viewed as an optical analog of semiconductors that modify the properties of light similarly to a microscopic atomic lattice that creates a semiconductor band-gap for electrons. It is therefore believed that by replacing relatively slow electrons with photons as the carriers of information, the speed and band-width of advanced communication systems will be dramatically increased, thus revolutionizing the telecommunication industry. However, to employ the high-technology potential of photonic crystals, it is crucially important to achieve a dynamical tunability of their properties. This idea can be realized by changing the light intensity in the nonlinear photonic crystals.

1D photonic crystals.   We developed a detailed theoretical description of formation of localized modes at nonlinear layers embedded into a 1-dimensional photonic structure [ Phys. Rev. E 63, 016615 (2001), Phys. Rev. Lett. 87, 83901 (2001) ].

2D photonic crystals: Nonlinear modes.   Our first paper [ Phys. Rev. E 62, 5777 (2000) ] on the properties of the nonlinear localized waves in two-dimensional photonic crystal waveguides formed by an array of Kerr-type nonlinear dielectric rods has been already featured in the Special Issue of Optics and Photonics News 11, 33 (2000). We have also shown how can be stabilized the 2D nonlinear modes in Kerr-type reduced-symmetry photonic crystals [ Phys. Rev. Lett. 86, 5474 (2001) ].

2D photonic crystals: Harmonic generation.   Other results of our group on photonic crystals include the first theory of optical phase-matching in 2D photonic crystals with quadratic nonlinearity [ Opt. Lett. 25, 1204 (2000) ], and a new method of an efficient harmonic generation in nonlinear photonic crystals [ Opt. Lett. 26, 539 (2001) ].

Overviews.   A general overview of the exciting field of photonic crystals, together with a summary of our recent results on nonlinear photonic crystals, has became the August cover story of "The Physicist" 37, 125 (2000). Some of our results in this field are included in a future article of Physics Today (by D. Campbell, S. Flach, and Yu. Kivshar) scheduled for publication in 2001. Some other results will be published as a Chapter in the Springer book "Nonlinear Photonic Crystals" edited by B.J. Eggleton and R.E. Slusher [arXiv:physics/0104088].

Selected Publications on Photonic Crystals

The articles are Copyright © by the respective publishers, and may be downloaded for personal use only. Any other use requires prior permission of the author and the respective publisher.

  1. Nonlinear Photonic Crystals: Toward All-Optical Technologies
    S. F. Mingaleev and Yu. S. Kivshar,
    Opt. Photon. News 13, 48-51 (2002).
    [Abstract] [Full-text PDF (580 Kb)]

  2. Nonlinear guided waves and spatial solitons in a periodic layered medium
    A. A. Sukhorukov and Yu. S. Kivshar,
    J. Opt. Soc. Am. B 19, 772-781 (2002).
    [Abstract] [Full-text PDF (805 Kb)] [Online]

  3. Spatial optical solitons in nonlinear photonic crystals
    A. A. Sukhorukov and Yu. S. Kivshar,
    Phys. Rev. E 65, 036609-14 (2002).
    [Abstract] [Full-text PDF (1.4 Mb)] [Online]

  4. Effective equations for photonic-crystal waveguides and circuits
    S. F. Mingaleev and Yu. S. Kivshar,
    Opt. Lett. 27, 231-233 (2002).
    [Abstract] [Full-text PDF (263 Kb)] [Online]

  5. Nonlinear localized waves in a periodic medium
    A. A. Sukhorukov and Yu. S. Kivshar,
    Phys. Rev. Lett. 87, 083901-4 (2001).
    [Abstract] [Full-text PDF (223 Kb)] [Online]

  6. Self-trapping and stable localized modes in nonlinear photonic crystals
    S. F. Mingaleev and Yu. S. Kivshar,
    Phys. Rev. Lett. 86, 5474-5477 (2001).
    [Abstract] [Full-text PDF (231 Kb)] [Online]

  7. Efficient collinear fourth-harmonic generation by two-channel multistep cascading in a single two-dimensional nonlinear photonic crystal
    M. de Sterke, S. M. Saltiel, and Yu. S. Kivshar,
    Opt. Lett. 26, 539-541 (2001).
    [Abstract] [Full-text PDF (87 Kb)] [Online]

  8. Nonlinear localized modes in photonic crystal waveguides
    S. F. Mingaleev, Yu. S. Kivshar, and R. A. Sammut,
    Opt. Photon. News 11, 33-34 (2000).
    [Abstract] [Full-text PDF (2 Mb)] [Online]

  9. Phase matching in nonlinear $\chi^(2)$ photonic crystals: errata (vol 25, pg 1204, 2000)
    S. Saltiel and Yu. S. Kivshar,
    Opt. Lett. 25, (2000).
    [Full-text PDF (36 Kb)] [Online]

  10. Long-range interaction and nonlinear localized modes in photonic crystal waveguides
    S. F. Mingaleev, Yu. S. Kivshar, and R. A. Sammut,
    Phys. Rev. E 62, 5777-5782 (2000).
    [Abstract] [Full-text PDF (588 Kb)] [Online]

  11. Phase matching in nonlinear $\chi^(2)$ photonic crystals
    S. Saltiel and Yu. S. Kivshar,
    Opt. Lett. 25, 1204-1206 (2000).
    [Abstract] [Full-text PDF (125 Kb)] [Online]

other group publications...

Links on Photonic Crystals

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