Pulse propagation in an elliptically birefringent Kerr medium

The coupled nonlinear Schrodinger equation, which describes optical propagation in a birefringent Kerr medium, is derived with particular emphasis on optical fibers. It is shown that, when the ellipticity angle theta approximately=35 degrees , Manakov's equation results. Consequences for switching applications are discussed. In particular, if theta not=35 degrees , shadows form when two pulses of opposite polarization interact, i.e. the emerging pulses no longer have their original polarizations. This problem disappears at theta =35 degrees . >

[1]  G. Stegeman,et al.  Soliton switching in fiber nonlinear directional couplers. , 1988, Optics letters.

[2]  R. Stolen,et al.  The soliton laser. , 1984, Optics letters.

[3]  D. Christodoulides,et al.  Vector solitons in birefringent nonlinear dispersive media. , 1988, Optics letters.

[4]  Yuji Kodama,et al.  Optical solitons in a monomode fiber , 1985 .

[5]  Toshio Morioka,et al.  Ultrafast optical multi/demultiplexer utilising optical kerb effect in polarisation-maintaining single-mode fibres , 1987 .

[6]  E. Ippen,et al.  An ultrafast all-optical gate , 1983, IEEE Journal of Quantum Electronics.

[7]  S. V. Manakov.  On the theory of two-dimensional stationary self-focusing of electromagnetic waves , 1973 .

[8]  N. Doran,et al.  Nonlinear-optical loop mirror. , 1988, Optics letters.

[9]  S. Rashleigh.  Origins and control of polarization effects in single-mode fibers (A) , 1982 .

[10]  J G Fujimoto,et al.  Ultrafast switching with a single-fiber interferometer. , 1989, Optics letters.

[11]  N. Doran,et al.  Generation and stabilization of short soliton pulses in the amplified nonlinear Schrödinger equation , 1988 .

[12]  L. Mollenauer,et al.  Discovery of the soliton self-frequency shift. , 1986, Optics letters.

[13]  C. Menyuk.  Stability of solitons in birefringent optical fibers. II. Arbitrary amplitudes , 1988 .

[14]  A. Hasegawa,et al.  Signal transmission by optical solitons in monomode fiber , 1981, Proceedings of the IEEE.

[15]  C. Menyuk.  Nonlinear pulse propagation in birefringent optical fibers , 1987 .

[16]  R. Ulrich,et al.  Polarization optics of twisted single-mode fibers. , 1979, Applied optics.

[17]  N J Doran,et al.  Polarization instabilities for solitons in birefringent fibers. , 1987, Optics letters.

[18]  R. W. Terhune,et al.  Study of Optical Effects Due to an Induced Polarization Third Order in the Electric Field Strength , 1965 .

[19]  Naomi J. Halas,et al.  Ultrafast light‐controlled optical‐fiber modulator , 1987 .

[20]  K. Kitayama,et al.  Fiber‐optic logic gate , 1985 .

[21]  D. Payne,et al.  Development of low- and high-birefringence optical fibers , 1982 .