Four-wave mixing in a rapidly-spun fiber.

In a previous paper the generalized Schroedinger equation that governs wave propagation in a rapidly-spun fiber was derived. In this paper the aforementioned equation is used to study four-wave mixing (FWM). The properties of FWM associated with a rapidly-spun fiber are described, and contrasted to those associated with constantly-birefringent and randomly-birefringent fibers. FWM driven by perpendicular linearly-polarized pump waves, or counter-rotating circularly-polarized pump waves, provides polarization-independent signal amplification and phase-conjugation, whereas FWM driven by co-rotating circularly-polarized pump waves provides polarization-independent frequency conversion.

[1]  Colin J. McKinstrie,et al.  Optical Amplification and Signal Processing in Highly Nonlinear Optical Fiber , 2005, IEICE Trans. Electron..

[2]  K. Inoue,et al.  Polarization independent wavelength conversion using fiber four-wave mixing with two orthogonal pump lights of different frequencies , 1994 .

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

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

[5]  R. Stolen,et al.  Parametric amplification and frequency conversion in optical fibers , 1982 .

[6]  S Radic,et al.  Translation of quantum states by four-wave mixing in fibers. , 2005, Optics express.

[7]  Peter A. Andrekson,et al.  Fiber-based optical parametric amplifiers and their applications , 2002 .

[8]  H. Kogelnik,et al.  PMD fundamentals: polarization mode dispersion in optical fibers. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[9]  R. Jopson,et al.  Polarisation-independent phase conjugation of lightwave signals , 1993 .

[10]  H. H. Chen,et al.  Stability of solitons in randomly varying birefringent fibers. , 1991, Optics letters.

[11]  S Radic,et al.  Parametric instabilities driven by orthogonal pump waves in birefringent fibers. , 2003, Optics express.

[12]  Remoissenet,et al.  Modulational instability and critical regime in a highly birefringent fiber. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[13]  Kenneth O. Hill,et al.  cw three-wave mixing in single-mode optical fibers , 1978 .

[14]  Takuo Tanemura,et al.  Polarization-insensitive asymmetric four-wave mixing using circularly polarized pumps in a twisted fiber. , 2005, Optics express.

[15]  C J McKinstrie,et al.  Nonlinear wave propagation in a rapidly-spun fiber. , 2006, Optics express.

[16]  K. Inoue,et al.  Polarization effect on four-wave mixing efficiency in a single-mode fiber , 1992 .

[17]  R. W. Terhune,et al.  Intensity-Dependent Changes in the Refractive Index of Liquids , 1964 .

[18]  G. Millot,et al.  Modulational instability processes in optical isotropic fibers under dual-frequency circular polarization pumping , 2002 .

[19]  J. Gordon,et al.  Polarization scattering by soliton-soliton collisions. , 1995, Optics letters.

[20]  Govind P. Agrawal,et al.  Vector theory of four-wave mixing: polarization effects in fiber-optic parametric amplifiers , 2004 .

[21]  S Wabnitz,et al.  New all-optical devices based on third-order nonlinearity of birefringent fibers. , 1986, Optics letters.

[22]  H. Kogelnik,et al.  Four-wave mixing in fibers with random birefringence. , 2004, Optics express.