PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 79 > pp. 119-136

ANALYTICAL INVESTIGATION AND EVALUATION OF PULSE BROADENING FACTOR PROPAGATING THROUGH NONLINEAR OPTICAL FIBERS (TRADITIONAL AND OPTIMUM DISPERSION COMPENSATED FIBERS)

By A. Andalib, A. Rostami, and N. Granpayeh

Full Article PDF (1,019 KB)

Abstract:
In this paper, analytical relation for pulse width evolution and broadening in fiber systems using the Volterra series transfer function (VSTF) in linear and nonlinear cases are derived. This evaluation is done for traditional and optimum dispersion compensated fibers. Effects of group velocity dispersion (GVD) and self-phase modulation (SPM) are taken into account. It is shown that the analytical formulation can be applied to design and analysis the long hauls practical systems, and is helpful in understanding the pulse distortion caused by the interaction between SPM and GVD. The proposed relations are extracted analytically and for the first time pulse broadening factor in general case is derived.

Citation: (See works that cites this article)
A. Andalib, A. Rostami, and N. Granpayeh, "Analytical investigation and evaluation of pulse broadening factor propagating through nonlinear optical fibers (traditional and optimum dispersion compensated fibers)," Progress In Electromagnetics Research, Vol. 79, 119-136, 2008.
doi:10.2528/PIER07092502
http://www.jpier.org/PIER/pier.php?paper=07092502

References:
1. Marcuse, D., A. R. Chraplyvy, and R. W. Tkach, "Effect of fiber nonlinearity on long-distance transmission," J. Lightwave Technol., Vol. 9, No. 1, 121-128, 1991.
doi:10.1109/50.64931

2. Naka, A. and S. Saito, "In-line amplifier transmission distance determined by self-phase modulation and group-velocity dispersion," J. Lightwave Technol., Vol. 12, No. 2, 280-287, 1994.
doi:10.1109/50.350593

3. Anderson, D. and M. Lisak, "Propagation characteristics of frequency chirped super-Gaussian optical pulses," Opt. Lett., Vol. 11, No. 9, 569-571, 1986.

4. Marcuse, D., "RMS width of pulses in nonlinear dispersive fibers," J. Lightwave Technol., Vol. 10, No. 1, 17-21, 1992.
doi:10.1109/50.108730

5. Florjanczyk, M. and R. Tremblay, "RMS width of pulses in nonlinear dispersive fibers: pulses of arbitrary initial form with chirp," J. Lightwav. Technol., Vol. 13, No. 8, 1801-1806, 1995.
doi:10.1109/50.405327

6. Potasek, M. J., G. P. Agrawal, and S. C. Pinault, "Analytic and numerical study of pulse broadening in nonlinear dispersive optical fibers," J. Opt. Soc. Am. B, Vol. 3, No. 2, 205-211, 1986.

7. Kikuchi, N. and S. Sasaki, "Analytical evaluation technique of self phase-modulation effect on the performance of cascaded optical amplifier systems," J. Lightwave Technol., Vol. 13, 868-878, 1995.
doi:10.1109/50.387804

8. Xu, B. and M. Brandt-Pearce, "Comparison of FWM and XPM induced crosstalk using Volterra series transfer function method," J. Lightwave Technol., Vol. 21, No. 1, 40-53, 2003.
doi:10.1109/JLT.2002.806360

9. Rugh, W. J., Nonlinear Systems Theory the Volterra/Wiener Approach, The John Hopkins University Press, 2001.

10. Singh, S. P. and N. Singh, "Nonlinear effects in optical fibers: origin, management and applications," Progress In Electromagnetics Research, Vol. 73, 249-275, 2007.
doi:10.2528/PIER07040201

11. Ibrahim, A.-B. M. A. and P. K. Choudhury, "Relative power distributions in omniguiding photonic band-gap fibers," Progress In Electromagnetics Research, Vol. 72, 269-278, 2007.
doi:10.2528/PIER07031406

12. Biswas, A., "Dynamics of Gaussian and super-gaussian solitons in birefringent optical fibers," Progress In Electromagnetics Research, Vol. 33, 119-139, 2001.
doi:10.2528/PIER00101203

13. Grobe, K. and H. Braunisch, "A broadband model for single-mode fibers including nonlinear dispersion," Progress In Electromagnetics Research, Vol. 22, 131-148, 1999.
doi:10.2528/PIER98090301

14. Oullette, F., "Dispersion cancellation using linearly chirped Bragg Grating filters in optical waveguides," Optics Letters, Vol. 12, 847-849, 1987.

15. Pandey, P. C., A. Mishra, and S. P. Ojha, "Modal dispersion characteristics of a single mode dielectric optical waveguide with a guiding region cross-section bounded by two involuted spirals," Progress In Electromagnetics Research, Vol. 73, 1-13, 2007.
doi:10.2528/PIER07022702

16. Singh, V., Y. Prajapati, and J. P. Saini, "Modal analysis and dispersion curves of a new unconventional bragg waveguide using a very simple method," Progress In Electromagnetics Research, Vol. 64, 191-204, 2006.
doi:10.2528/PIER06071101

17. Rostami, A. and A. Andalib, "A principal investigation of the Group Velocity Dispersion (GVD) profile for optimum dispersion compensation in optical fibers: a theoretical study," Progress In Electromagnetics Research, Vol. 75, 209-224, 2007.
doi:10.2528/PIER07060402

18. Singh, S. P., R. Gangwar, and N. Singh, "Nonlinear scattering effects in optical fibers," Progress In Electromagnetics Research, Vol. 74, 379-405, 2007.
doi:10.2528/PIER07051102

19. Hillion, P., "Electromagnetic pulse propagation in dispersive media," Progress In Electromagnetics Research, Vol. 35, 299-314, 2002.
doi:10.2528/PIER02021703

20. Mishra, M. and S. Konar, "High bit rate dense dispersion managed optical communication systems with distributed amplification," Progress In Electromagnetics Research, Vol. 78, 301-320, 2008.
doi:10.2528/PIER07091305

21. Shahi, A. K., V. Singh, and S. P. Ojha, "Dispersion characteristics of electromagnetic waves in circularly cored highly birefringent waveguide having elliptical cladding," Progress In Electromagnetics Research, Vol. 75, 51-62, 2007.
doi:10.2528/PIER07051601

22. Biswas, A. and S. Konar, "Theory of dispersion-managed optical solitons," Progress In Electromagnetics Research, Vol. 50, 83-134, 2005.
doi:10.2528/PIER04051301

23. Singh, S. P., R. Gangwar, and N. Singh, "Nonlinear scattering effects in optical fibers," Progress In Electromagnetics Research, Vol. 74, 379-405, 2007.
doi:10.2528/PIER07051102

24. Singh, S. P. and N. Singh, "Nonlinear effects in optical fibers: Origin, management and applications," Progress In Electromagnetics Research, Vol. 73, 249-275, 2007.
doi:10.2528/PIER07040201

25. Guo, L. and C. Kim, "Study on the two-frequency scattering cross section and pulse broadening of the one-dimensional fractal sea surface at millimeter wave frequency," Progress In Electromagnetics Research, Vol. 37, 221-234, 2002.
doi:10.2528/PIER02042601

26. Singh, V., "Modal analysis and waveguide dispersion of an optical waveguide having a cross-section of the shape of a cardiod," J. Electromagnetic Waves and Applications, Vol. 20, No. 8, 1021-1035, 2006.
doi:10.1163/156939306776930277

27. Georgia, E. M., A. D. Panagopoulos, and J. D. Kanellopoulos, "Millimeter wave pulse propagation through distorted raindrops for los fixed wireless access channels," J. Electromagnetic Waves and Applications, Vol. 20, No. 9, 1235-1248, 2006.
doi:10.1163/156939306777442953

28. Najjar-Khatirkolaei, B., M. Al-Kanhal, and A. R. Sebak, "Electromagnetic wave scattering by elliptic chiral cylinder," J. Electromagnetic Waves and Applications, Vol. 20, No. 10, 1377-1390, 2006.
doi:10.1163/156939306779276866


© Copyright 2014 EMW Publishing. All Rights Reserved