Pulse Propagation in a Short Nonlinear Graded-Index Multimode Optical Fiber

We present a detailed analysis of the modal properties, dispersive behavior, and nonlinear mode coupling in graded-index multimode fibers (GIMFs), and lay out a simplified form of a generalized nonlinear Schrödinger equation, which can be used to explore the rich nonlinear dynamics related to the propagation and interaction of light pulses in GIMFs in a tractable manner. We also briefly discuss an application of the presented formalism in the study of four-wave mixing in these fibers. While the reported formalism is fairly general, our presentation is mainly targeted at device applications in which short segments of GIMFs are used.

[1]  Frédéric Dias,et al.  The Peregrine soliton in nonlinear fibre optics , 2010 .

[2]  K. Okamoto.  Fundamentals of Optical Waveguides , 2000 .

[3]  Chinlon Lin,et al.  Large‐Stokes‐shift stimulated four‐photon mixing in optical fibers , 1981 .

[4]  J V Moloney,et al.  Nonlinear optical pulse propagation simulation: from Maxwell's to unidirectional equations. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  R. Olshansky,et al.  Mode Coupling Effects in Graded-index Optical Fibers. , 1975, Applied optics.

[6]  D. Marcuse,et al.  Mode coupling in an optical fiber with core distortions , 1975, The Bell System Technical Journal.

[7]  G. Agrawal.  Nonlinear fiber optics: its history and recent progress [Invited] , 2011 .

[8]  D. Gloge,et al.  Optical power flow in multimode fibers , 1972 .

[9]  Steven E. Golowich,et al.  Modeling and simulation of next-generation multimode fiber links , 2003 .

[10]  R. Olshansky,et al.  Pulse broadening in graded-index optical fibers. , 1976, Applied optics.

[11]  A. Mafi.  Bandwidth Improvement in Multimode Optical Fibers Via Scattering From Core Inclusions , 2010, Journal of Lightwave Technology.

[12]  Arash Mafi,et al.  Low-loss coupling between two single-mode optical fibers with different mode-field diameters using a graded-index multimode optical fiber. , 2011, Optics letters.

[13]  N. Peyghambarian,et al.  Detailed Investigation of Mode-Field Adapters Utilizing Multimode-Interference in Graded Index Fibers , 2012, Journal of Lightwave Technology.

[14]  T. Izawa,et al.  Optical Fibers: Materials and Fabrication , 1987 .

[15]  E. A. J. Marcatili,et al.  Multimode theory of graded-core fibers , 1973 .

[16]  T. A. Lenahan.  Calculation of modes in an optical fiber using the finite element method and EISPACK , 1983, The Bell System Technical Journal.

[17]  R. D. Standley,et al.  Pulse dispersion and refractive-index profiles of some low-noise multimode optical fibers , 1973 .

[18]  John E. Bjorkholm,et al.  Phase‐matched three‐wave mixing in silica fiber optical waveguides , 1974 .

[19]  D C Johnson,et al.  Efficient conversion of light over a wide spectral range by four-photon mixing in a multimode graded-index fiber. , 1981, Applied optics.

[20]  J Capmany,et al.  Transfer function of multimode fiber links using an electric field propagation model: Application to Radio over Fibre Systems. , 2006, Optics express.

[21]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[22]  Frank W. Wise,et al.  Passive mode-locking using multi-mode fiber , 2011, LASE.

[23]  S. Personick,et al.  Time dispersion in dielectric waveguides , 1971 .

[24]  Francesco Poletti,et al.  Description of ultrashort pulse propagation in multimode optical fibers , 2008 .