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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • 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)

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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

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

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)

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