Spectral characteristics of LP11 mode of step index optical fiberwith Kerr nonlinearity

In this paper is described the approximate solution for the LP11 mode of the step-index optical fiber with taking into account the Kerr nonlinearity. The solution is obtained by a known method of Gauss approximation. The special case of only one LP11 mode propagation in lightguide is considered. The calculation of spectral dependencies of equivalent mode spot radius, time delay, chromatic dispersion of first and second order was evaluated. Results of calculation are presented in this paper.

[1]  R. Thomson,et al.  The photonic lantern , 2014, 2014 Conference on Lasers and Electro-Optics (CLEO) - Laser Science to Photonic Applications.

[2]  F. Benabid,et al.  2.6 mJ energy and 81 GW peak power femtosecond laser-pulse delivery and spectral broadening in inhibited coupling Kagome fiber , 2015, 2015 Conference on Lasers and Electro-Optics (CLEO).

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

[4]  Vladimir A. Burdin,et al.  Necessary conditions for nonlinear excitation of a high-order mode in a single-mode optical fiber , 2017 .

[5]  F Benabid,et al.  Multi-meter fiber-delivery and pulse self-compression of milli-Joule femtosecond laser and fiber-aided laser-micromachining. , 2014, Optics express.

[6]  Vladimir A. Burdin,et al.  Dispersion characteristics of step index single mode optical fiber with Kerr nonlinearity , 2017, Optical Technologies for Telecommunications.

[7]  Klaus Petermann,et al.  Fundamental mode microbending loss in graded-index and W fibres , 1977 .

[8]  J. Crank.  Tables of Integrals , 1962 .

[9]  I︠u︡. A Brychkov.  Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas , 2008 .

[10]  James S. Harris,et al.  Tables of integrals , 1998 .

[11]  A. Snyder,et al.  Understanding monomode optical fibers , 1981, Proceedings of the IEEE.

[12]  W Sibbett,et al.  The development and application of femtosecond laser systems. , 2012, Optics express.

[13]  Yoann Zaouter,et al.  Single-stage Yb:YAG booster amplifier producing 2.3 mJ, 520 fs pulses at 10 kHz , 2015 .

[14]  Jing Xu,et al.  On-chip two-mode division multiplexing using tapered directional coupler-based mode multiplexer and demultiplexer. , 2013, Optics express.

[15]  D. Gloge.  Optical fibers for communication , 1973 .

[16]  C. D. Hussey,et al.  Variational approximations for higher-order modes of weakly-guiding fibres , 1984 .

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

[18]  S Berdagué,et al.  Mode division multiplexing in optical fibers. , 1982, Applied optics.

[19]  H. Kogelnik,et al.  Theory of Dielectric Waveguides , 1975 .