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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 9 — Sep. 1, 2010
  • pp: 1742–1750

Dispersion of photonic Bloch modes in periodically twisted birefringent media

Leyun Zang, Myeong Soo Kang, Miroslav Kolesik, Michael Scharrer, and Philip Russell  »View Author Affiliations


JOSA B, Vol. 27, Issue 9, pp. 1742-1750 (2010)
http://dx.doi.org/10.1364/JOSAB.27.001742


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Abstract

We investigate the polarization evolution and dispersive properties of the eigenmodes of birefringent media with arbitrarily twisted axes of birefringence. Analytical and numerical methods based on a transfer matrix approach are developed and used to study specifically helically twisted structures and the Bloch modes of periodically twisted media, as represented in particular by structural “rocking” filters inscribed in highly birefringent photonic crystal fibers. The presence of periodically twisted birefringence axes causes the group velocity dispersion curves to separate strongly from each other in the vicinity of the anti-crossing wavelength, where the inter-polarization beat-length equals an integer multiple of the rocking period. The maximum separation between these curves and the bandwidth of the splitting depend on the amplitude of the rocking angle. We also show that suitably designed adiabatic transitions, formed by chirping the rocking period, allow a broadband conversion between a linearly polarized fiber eigenmode and a single Bloch mode of a uniform rocking filter. The widely controllable dispersive properties provided by rocking filters may be useful for manipulating the phase-matching conditions in nonlinear optical processes such as four-wave mixing, supercontinuum generation, and the generation of resonant radiation from solitons.

© 2010 Optical Society of America

OCIS Codes
(060.2340) Fiber optics and optical communications : Fiber optics components
(060.2420) Fiber optics and optical communications : Fibers, polarization-maintaining
(260.1440) Physical optics : Birefringence
(260.2030) Physical optics : Dispersion
(260.5430) Physical optics : Polarization
(060.5295) Fiber optics and optical communications : Photonic crystal fibers

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: May 6, 2010
Manuscript Accepted: June 27, 2010
Published: August 12, 2010

Citation
Leyun Zang, Myeong Soo Kang, Miroslav Kolesik, Michael Scharrer, and Philip Russell, "Dispersion of photonic Bloch modes in periodically twisted birefringent media," J. Opt. Soc. Am. B 27, 1742-1750 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-9-1742


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References

  1. R. H. Stolen, A. Ashkin, W. Pleibel, and J. M. Dziedzic, “In-line fiber-polarization-rocking rotator and filter,” Opt. Lett. 9, 300–302 (1984). [CrossRef] [PubMed]
  2. P. St. J. Russell and D. P. Hand, “Rocking filter formation in photosensitive high birefringence optical fibres,” Electron. Lett. 26, 1846–1848 (1990). [CrossRef]
  3. K. O. Hill, F. Bilodeau, B. Malo, and D. C. Johnson, “Birefringent photosensitivity in monomode optical fibre: application to external writing of rocking filters,” Electron. Lett. 27, 1548–1550 (1991). [CrossRef]
  4. D. C. Psaila, F. Ouellette, and C. Martijn de Sterke, “Characterization of photoinduced birefringence change in optical fiber rocking filters,” Appl. Phys. Lett. 68, 900–902 (1996). [CrossRef]
  5. M. Berwick, C. N. Pannell, P. St. J. Russell, and D. A. Jackson, “Demonstration of birefringent optical fibre frequency shifter employing torsional acoustic waves,” Electron. Lett. 27, 713–715 (1991). [CrossRef]
  6. K. J. Lee, H. C. Park, H. S. Park, and B. Y. Kim, “Highly efficient all-fiber tunable polarization filter using torsional acoustic wave,” Opt. Express 15, 12362–12367 (2007). [CrossRef] [PubMed]
  7. G. Kakarantzas, A. Ortigosa-Blanch, T. A. Birks, P. St. J. Russell, L. Farr, F. Couny, and B. J. Mangan, “Structural rocking filters in highly birefringent photonic crystal fiber,” Opt. Lett. 28, 158–160 (2003). [CrossRef] [PubMed]
  8. G. Statkiewicz-Barabach, A. Anuszkiewicz, W. Urbanczyk, and J. Wojcik, “Sensing characteristics of rocking filter fabricated in microstructured birefringent fiber using fusion arc splicer,” Opt. Express 16, 17258–17268 (2008). [CrossRef] [PubMed]
  9. A. Ortigosa-Blanch, J. C. Knight, W. J. Wadsworth, J. Arriaga, B. J. Mangan, T. A. Birks, and P. St. J. Russell, “Highly birefringent photonic crystal fibers,” Opt. Lett. 25, 1325–1327 (2000). [CrossRef]
  10. P. St. J. Russell, “Photonic-crystal fibers,” J. Lightwave Technol. 24, 4729–4749 (2006). [CrossRef]
  11. W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultrashort pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003). [CrossRef] [PubMed]
  12. J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006). [CrossRef]
  13. P. McIntyre and A. W. Snyder, “Light propagation in twisted anisotropic media: Application to photoreceptors,” J. Opt. Soc. Am. 68, 149–157 (1978). [CrossRef] [PubMed]
  14. M. Monerie and L. Jeunhomme, “Polarization mode coupling in long single-mode fibres,” Opt. Quantum Electron. 12, 449–461 (1980). [CrossRef]
  15. R. Ulrich and A. Simon, “Polarization optics of twisted single-mode fibers,” Appl. Opt. 18, 2241–2251 (1979). [CrossRef] [PubMed]
  16. A. Yariv, “Coupled-mode theory for guided-wave optics,” IEEE J. Quantum Electron. 9, 919–933 (1973). [CrossRef]
  17. T. Erdogan, “Cladding-mode resonances in short- and long-period fiber grating filters,” J. Opt. Soc. Am. A 14, 1760–1773 (1997). [CrossRef]
  18. A. Yariv and P. Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, 2003).
  19. J. W. Evans, “Solc birefringent filter,” J. Opt. Soc. Am. 48, 142–145 (1958). [CrossRef]
  20. G. Pearce, T. D. Hedley, and D. M. Bird, “Adaptive curvilinear coordinates in a plane-wave solution of Maxwell’s equations in photonic crystals,” Phys. Rev. B 71, 195108 (2005). [CrossRef]
  21. S. R. Chinn, “Differential coupled mode analysis and the Poincaré sphere,” Appl. Opt. 28, 1661–1665 (1989). [CrossRef] [PubMed]
  22. D. C. Psaila, C. Martijn de Sterke, and F. Ouellette, “Comb filters based on superstructure rocking filters in photosensitive optical fibers,” Opt. Commun. 141, 75–82 (1997). [CrossRef]

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