Journal of Optics

, Volume 35, Issue 3, pp 125–135 | Cite as

Further Investigations for Optical Kerr Effects Using Split Step Fourier Method for Self Phase Modulation and Dispersion

  • Rajneesh Randhawa
  • R. S. Kaler


In this paper, we use one of the most accurate method, the split-step numerical method(SSFM) to solve the Schrodinger wave equation and analyze dispersion and self phase modulation effects. SPM process produces new frequency components as the pulse propagates through the fiber. The new frequency components are positive and linear frequency chirp. In the anomalous regime chromatic dispersion produces negative frequency chirp and it tends to negate the positive chirp induced by SPM. Consequently, interacting between SPM and dispersion results in the reduction of the pulse broadening. On the other hand, in the normal dispersion region, chromatic dispersion also generates positive linear frequency chirp. Therefore, the effect of the pulse broadening is much more accelerated since the pulse has been spread out by both of SPM and dispersion.


Dispersion Self phase modulation Split Step Fourier method Nonlinear Schrodinger wave equation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    G. P. Aggrawal “Nonlinear Fiber Optics”, Academic Press (1989).Google Scholar
  2. 2.
    Morioka, T., S. Kawanishi, K. Mori, and M. Saruwalari. “Transform limited femtosecond WDM pulse generation by spectral filtering of GHz supercontinuum.” Electronic Lett. 30, 1166 (1994)CrossRefGoogle Scholar
  3. 3.
    R. Calvani, R. Copani, C. Naddeo & D. Roccato, “Subpicosecond pulses at 2.5 GHz from filtered supercontinuum in fibre pumped by a chirp compensated gain-switched DFB laser.” Elect. Ltdd. 31(19) 1685, (1995).CrossRefGoogle Scholar
  4. 4.
    R. Caponi, R. Calvani & E. Grazioli, “Femtosecond Transform-limited pulse generation by compensating for linear chirp of SPM spectra in Dispersion Shifted Fibres. Fibre and integrated Optics 17, 41–50, (1998).CrossRefGoogle Scholar
  5. 5.
    Ajay K. Sharma, R. K. Simha, R. A. Agarwala, “Improved Analysis of Dispersion Compensation using Differential Time Delay for High-Speed Long-Span optical Link”, Fiber and Integrated Optics, USA vol. USA 16(4), 415–426, (1997).CrossRefGoogle Scholar
  6. 6.
    Ajay K. Sharma. R. K. Sinha, R. A. Agarwala, “Higher Order Dispersion Compensation by Differential Time Delay”, Optical Fiber Technology, USA 4(1), 135–143. (1998).CrossRefADSGoogle Scholar
  7. 7.
    R. S. Kaler. Ajay K. Sharma, T. S., Kamal Sandeep K. Arya, R. A. Aggrawala. “Large Signal Analysis for Dispersive Optical Communication Systems including Second Order Term” Fiber and Integrated Optics, USA 21, 3, (2002).Google Scholar
  8. 8.
    Aldolfo V.T. Cartaxo and Jose A.P. Morgado. “Rigorous Assessment of Small Signal Analysis for Linear and Dispersive Optical Communication System Operating Near Zero Dispersion Wavelength”, “IEEE, J. of Lightwave Technol., 17(1), 86–94. (1999).CrossRefADSGoogle Scholar
  9. 9.
    Adolfo V. T. Cartaxo, Wedding, ‘Influence of Fiber Nonlinearity on the Phase Noise to Intensity Noise Conversion in Fiber Transmission: Theoretical & Experimental Analysis. Jr. Light wave Technology. 16(7), 1187–1194. (1998).CrossRefADSGoogle Scholar
  10. 10.
    R. S. Kaler, Ajay K. Sharma & T. S. Kamal “Approximate and Exact Small Signal Analysis for Single Mode Fiber Near Zero Dispersion Wavelength with Higher Order Dispersion” Fiber and Integrated Optics Incorporating International Journal on Optoelectronics, 21(5), 391–415, (2002).CrossRefGoogle Scholar

Copyright information

© Optical Society of India 2006

Authors and Affiliations

  1. 1.Guru Jambeshwar UniversityHisar HaryanaIndia
  2. 2.Thapar Institute of Engineering and TechnologyPatiala, PunjabIndia

Personalised recommendations