Dispersion of photonic Bloch modes in periodically twisted birefringent media

Leyun Zang, Myeong Soo Kang, Miroslav Kolesik, Michael Scharrer, Philip Russell

Research output: Contribution to journalArticle

8 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)1742-1750
Number of pages9
JournalJournal of the Optical Society of America B: Optical Physics
Volume27
Issue number9
DOIs
StatePublished - Sep 1 2010

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photonics
filters
birefringence
fibers
curves
polarization
phase matching
group velocity
four-wave mixing
integers
synchronism
solitary waves
broadband
bandwidth
causes
radiation
wavelengths
crystals

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Statistical and Nonlinear Physics

Cite this

Dispersion of photonic Bloch modes in periodically twisted birefringent media. / Zang, Leyun; Kang, Myeong Soo; Kolesik, Miroslav; Scharrer, Michael; Russell, Philip.

In: Journal of the Optical Society of America B: Optical Physics, Vol. 27, No. 9, 01.09.2010, p. 1742-1750.

Research output: Contribution to journalArticle

Zang, Leyun ; Kang, Myeong Soo ; Kolesik, Miroslav ; Scharrer, Michael ; Russell, Philip. / Dispersion of photonic Bloch modes in periodically twisted birefringent media. In: Journal of the Optical Society of America B: Optical Physics. 2010 ; Vol. 27, No. 9. pp. 1742-1750.
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