Theoretical Description of All-Optical Switching Phenomena Involving Coupled Gap Solitons

  • Lee, Sangjae (School of Electronic and Electrical Engineering, Kyungpook National Univ.)
  • Published : 1996.12.01

Abstract

We study the propagation of two pulses with orthogonal linear polarizations in a nonlinear periodic dielectric structure with $X^{(3)}$ nonlinearity. Using an envelope- function approach, we derive the coupled nonlinear Schrodinger equations governing the spatio-temporal evolutions of the two orthogonally polarized modes in a nonlinear periodic structure. We then find their solitary-wave solutions referred to as coupled gap solitons. We show that two orthogonally polarized pulses can co-propagate as a coupled gap soliton through a nonlinear periodic structure while each pulse alone will be strongly reflected due to the Bragg reflection. Based on the results, we present an all-optical switching scheme which has a novel architecture and principle. We also study the stability of coupled gap solitons to find the dragging phenomena in a nonlinear birefringent periodic medium.

Keywords

References

  1. Thin-film optical filters H. A. Macleod
  2. Optica Acta v.2 J. J. Vera
  3. Opt. Lett. v.14 C. M. de Sterke;J. E. Sipe
  4. Phys. Rev. Lett. v.62 D. N. Christodoulides;R. I. Joseph
  5. Phys. Rev. Lett. v.58 W. Chen;D. L. Mills
  6. Phys. Rev. v.B35 W. Chen;D. L. Mills
  7. Phys. Rev. v.B44 V. M. Agranovich;S. A. Kiselev
  8. Phys. Rev. v.A38 C. M. de Sterke;J. E. Sipe
  9. Phys. Rev. v.A39 C. M. de Sterke;J. E. Sipe
  10. Opt. Lett. v.18 S. Lee;S. T. Ho
  11. OSA annual meeting, TuC4 S. Lee;S. T. Ho
  12. Phys. Rev. v.A27 D. Anderson
  13. J. Opt. Soc. Am. v.B90 Y. S. Kivshar
  14. Phys. Rev. v.137 P. D. Maker;R. W. Terhune
  15. Phys. Rev. v.B42 C. M. de Sterke;J. E. Sipe
  16. Appl. Phys. Lett. v.59 S. T. Ho;C. E. Soccolich;M. N. Islam;W. S. Hobson;A. F. J. Levi;R. E. Slusher
  17. IEEE J. Quantum Electron. v.QE9 A. Yariv