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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 21 — Oct. 8, 2012
  • pp: 24085–24092

Mode conversion using optical analogy of shortcut to adiabatic passage in engineered multimode waveguides

Tzung-Yi Lin, Fu-Chen Hsiao, Yao-Wun Jhang, Chieh Hu, and Shuo-Yen Tseng  »View Author Affiliations


Optics Express, Vol. 20, Issue 21, pp. 24085-24092 (2012)
http://dx.doi.org/10.1364/OE.20.024085


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Abstract

A shortcut to adiabatic mode conversion in multimode waveguides using optical analogy of stimulated Raman adiabatic passage is investigated. The design of mode converters using the shortcut scheme is discussed. Computer-generated planar holograms are used to mimic the shaped pulses used to speed up adiabatic passage in quantum systems based on the transitionless quantum driving algorithm. The mode coupling properties are analyzed using the coupled mode theory and beam propagation simulations. We show reduced device length using the shortcut scheme as compared to the common adiabatic scheme. Modal evolution in the shortened device indeed follows the adiabatic eigenmode exactly amid the violation of adiabatic criterion.

© 2012 OSA

OCIS Codes
(000.1600) General : Classical and quantum physics
(090.1760) Holography : Computer holography
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices

ToC Category:
Integrated Optics

History
Original Manuscript: July 23, 2012
Revised Manuscript: September 26, 2012
Manuscript Accepted: September 27, 2012
Published: October 5, 2012

Citation
Tzung-Yi Lin, Fu-Chen Hsiao, Yao-Wun Jhang, Chieh Hu, and Shuo-Yen Tseng, "Mode conversion using optical analogy of shortcut to adiabatic passage in engineered multimode waveguides," Opt. Express 20, 24085-24092 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-21-24085


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References

  1. S. Berdague and P. Facq, “Mode division multiplexing in optical fibers,” Appl. Opt.21, 1950–1955 (1982). [CrossRef] [PubMed]
  2. M. Greenberg and M. Orenstein, “Multimode add-drop multiplexing by adiabatic linearly tapered coupling,” Opt. Express13, 9381–9387 (2005). [CrossRef] [PubMed]
  3. J. B. Park, D.-M. Yeo, and S.-Y. Shin, “Variable optical mode generator in a multimode waveguide,” IEEE Photon. Technol. Lett.18, 2084–2086 (2006). [CrossRef]
  4. T. Ando, T. Murata, H. Nakayama, J. Yamauchi, and H. Nakano, “Analysis and measurement of polarization conversion in a periodically loaded dielectric waveguide,” IEEE Photon. Technol. Lett.14, 1288–1290 (2002). [CrossRef]
  5. S. Longhi, “Adiabatic passage of light in coupled optical waveguides,” Phys. Rev. E73, 026607 (2006). [CrossRef]
  6. S. Longhi, G. Della Valle, M. Ornigotti, and P. Laporta, “Coherent tunneling by adiabatic passage in an optical waveguide system,” Phys. Rev. B76, 201101(R) (2007). [CrossRef]
  7. G. Della Valle, M. Ornigotti, T. Toney Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, “Adiabatic light transfer via dressed states in optical waveguide arrays,” Appl. Phys. Lett.92, 011106 (2008). [CrossRef]
  8. S. Longhi, “Quantum-optical analogies using photonic structures,” Laser and Photon. Rev.3, 243–261 (2009). [CrossRef]
  9. F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Polychromatic beam splitting by fractional stimulated Raman adiabatic passage,” Appl. Phys. Lett.95, 261102 (2009). [CrossRef]
  10. E. Paspalakis, “Adiabatic three-waveguide directional coupler,” Opt. Commun.258, 30–34 (2006). [CrossRef]
  11. E. Paspalakis, M. Protopapas, and P. L. Knight, “Time-dependent pulse and frequency effects in population trapping via the continuum,” J Phys. B31, 775–794 (1998). [CrossRef]
  12. R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann, “Coherent properties of a tripod system coupled via a continuum,” Phys. Rev. A61, 043408 (2000). [CrossRef]
  13. H. Theuer, R. G. Unanyan, C. Habscheid, K. Klein, and K. Bergmann, “Novel laser controlled variable matter wave beamsplitter,” Opt. Express4, 77–83 (1999). [CrossRef] [PubMed]
  14. R. G. Unanyan, B. W. Shore, and K. Bergmann, “Preparation of an N-component maximal coherent superposition state using the stimulated Raman adiabatic passage method,” Phys. Rev. A63, 043401 (2001). [CrossRef]
  15. F. Vewinger, M. Heinz, R. Garcia Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett.91, 213001 (2003). [CrossRef] [PubMed]
  16. A. A. Rangelov and N. V. Vitanov, “Achromatic multiple beam splitting by adiabatic passage in optical waveguides,” Phys. Rev. A85, 055803 (2012). [CrossRef]
  17. F. Dreisow, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi, “Adiabatic transfer of light via a continuum in optical waveguides,” Opt. Lett.34, 2405–2407 (2009). [CrossRef] [PubMed]
  18. S.-Y. Tseng and M.-C. Wu, “Adiabatic mode conversion in multimode waveguides using computer-generated planar holograms,” IEEE Photon. Technol. Lett.22, 1211–1213 (2010). [CrossRef]
  19. S.-Y. Tseng and M.-C. Wu, “Mode conversion/splitting by optical analogy of multistate stimulated Raman adiabatic passage in multimode waveguides,” J. Lightwave Technol.28, 3529–3534 (2010).
  20. K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys.70, 1003–1025 (1998). [CrossRef]
  21. G. S. Vasilev, A. Kuhn, and N. V. Vitanov, “Optimum pulse shapes for stimulated Raman adiabatic passage,” Phys. Rev. A80, 013417 (2009). [CrossRef]
  22. G. Dridi, S. Guérin, V. Hakobyan, H. R. Jauslin, and E. Eleuch, “Ultrafast stimulated Raman parallel adiabatic passage by shaped pulses,” Phys. Rev. A80, 043408 (2009). [CrossRef]
  23. X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to adiabatic passage in two- and three-level atoms,” Phys. Rev. Lett.105, 123003 (2010). [CrossRef] [PubMed]
  24. M. V. Berry, “Transitionless quantum driving,” J. Phys. A: Math. Theor.42, 365303 (2009). [CrossRef]
  25. M. H. S. Amin, “Consistency of the adiabatic theorem,” Phys. Rev. Lett.102, 220401 (2009). [CrossRef] [PubMed]
  26. S.-Y. Tseng, S. K. Choi, and B. Kippelen, “Variable-ratio power splitters using computer-generated planar holograms on multimode interference couplers,” Opt. Lett.34, 512–514 (2009). [CrossRef] [PubMed]

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