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Optics Letters

Optics Letters


  • Vol. 29, Iss. 23 — Dec. 1, 2004
  • pp: 2752–2754

Harmonic oscillation in a spatially finite array waveguide

R. Gordon  »View Author Affiliations

Optics Letters, Vol. 29, Issue 23, pp. 2752-2754 (2004)

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A waveguide array is presented that behaves as an oscillator, showing periodic image reconstruction, focusing, and transverse wave-packet oscillation. The oscillator has a finite width, which removes the need for premature truncation. The array waveguide oscillator shows properties analogous to those of a pedagogically important one-dimensional quantum harmonic oscillator, which are fundamentally different from previously demonstrated oscillations in Wannier–Stark waveguide arrays. Calculations of the entire array waveguide oscillator are presented that quantify higher-order corrections to the coupled-mode approach. These results can be extended to waveguide oscillators in other systems, such as electrons in superlattices.

© 2004 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves

R. Gordon, "Harmonic oscillation in a spatially finite array waveguide," Opt. Lett. 29, 2752-2754 (2004)

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  1. A. A. Friesem, U. Levy, and Y. Silverberg, Proc. IEEE 71, 208 (1983), and references therein.
  2. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silverberg, Phys. Rev. Lett. 83, 4756 (1999).
  3. U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
  4. T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
  5. J. Bleuse, G. Bastard, and P. Voisin, Phys. Rev. Lett. 60, 220 (1988).
  6. O. Taussky and J. Todd, Linear Algebr. Appl. 150, 341 (1991).
  7. A. Yariv, Optical Electronics (Oxford University, New York, 1997).

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