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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 14 — Jul. 14, 2014
  • pp: 16903–16915

Nonlinear coupling between axisymmetrically-polarized ultrashort optical pulses in a uniaxial crystal

Masato Suzuki, Keisaku Yamane, Kazuhiko Oka, Yasunori Toda, and Ryuji Morita  »View Author Affiliations

Optics Express, Vol. 22, Issue 14, pp. 16903-16915 (2014)

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Nonlinear propagation of focused axisymmetrically-polarized ultrashort optical pulses along the optic axis in a uniaxial crystal is investigated experimentally and theoretically. The energy transfer between an azimuthally-polarized pulse and a radially-polarized pulse is observed. To analyze the nonlinear propagation, a general paraxial equation with a third-order nonlinearity for axisymmetrically-polarized pulses in a uniaxial crystal is derived and the extended Stokes parameters (ESPs) based on cylindrical coordinates are newly-introduced. The simulation results by using this equation, providing the calculated ESPs, well explain our experimental observations: 1) the energy transfer is attributed to the four-wave-mixing effect, reflecting the overlapping between the axisymmetrically polarized modes, 2) the variations of the polarization defined from the ESPs are clarified to be affected by the self- and the cross-phase modulations, which make the effective propagation length long or short.

© 2014 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Nonlinear Optics

Original Manuscript: May 13, 2014
Revised Manuscript: June 24, 2014
Manuscript Accepted: June 24, 2014
Published: July 2, 2014

Masato Suzuki, Keisaku Yamane, Kazuhiko Oka, Yasunori Toda, and Ryuji Morita, "Nonlinear coupling between axisymmetrically-polarized ultrashort optical pulses in a uniaxial crystal," Opt. Express 22, 16903-16915 (2014)

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