Numerical Simulation of Soliton Pulse Propagation in Doped Optical Fibres by Finite-Difference Method

Adam USMAN; Junaidah OSMAN; David Reginald TILLEY

Makale detayları

Numerical Simulation of Soliton Pulse Propagation in Doped Optical Fibres by Finite-Difference Method

Yazarlar:

Adam USMAN | Junaidah OSMAN | David Reginald TILLEY

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2004 Vol.28 Issue 1, pp.17-24

Belge Tipi:

Makale

Yayın Tarihi:

12/2003

Belge Dili:

Türkçe

Document ID (Org No.):

2000761783

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

We report results of applications of explicit  finite-difference schemes, viz.  the combination of forward-difference  and central-difference approximation schemes, to study a simulation of  soliton pulse propagation in saturable optical fibres.  The dynamic  governing equation is the saturable nonlinear Schrödinger equation  (SNLE).  This equation thus far lacks analytical solution in the sense  of the inverse scattering method, although an analytical solitary wave  solution is available.  We use the localized solution to generate data  for simulations of fundamental and second order soliton pulse  propagation.  In addition, we check the numerical accuracy of the  results by considering the physical significance of two conserved  quantities which are properties of the governing equation.

 

We report results of applications of explicit  finite-difference schemes, viz.  the combination of forward-difference  and central-difference approximation schemes, to study a simulation of  soliton pulse propagation in saturable optical fibres.  The dynamic  governing equation is the saturable nonlinear Schrödinger equation  (SNLE).  This equation thus far lacks analytical solution in the sense  of the inverse scattering method, although an analytical solitary wave  solution is available.  We use the localized solution to generate data  for simulations of fundamental and second order soliton pulse  propagation.  In addition, we check the numerical accuracy of the  results by considering the physical significance of two conserved  quantities which are properties of the governing equation.

Makale detayları

Numerical Simulation of Soliton Pulse Propagation in Doped Optical Fibres by Finite-Difference Method

Yazarlar:

Adam USMAN | Junaidah OSMAN | David Reginald TILLEY

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2004 Vol.28 Issue 1, pp.17-24

Belge Tipi:

Makale

Yayın Tarihi:

12/2003

Belge Dili:

Türkçe

Document ID (Org No.):

2000761783

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Soliton pulse

optical fibres

finite-difference

nonlinear Schrdinger equations

Sayı

Makale detayları

Numerical Simulation of Soliton Pulse Propagation in Doped Optical Fibres by Finite-Difference Method

Yazarlar: Adam USMAN | Junaidah OSMAN | David Reginald TILLEY

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 2004 Vol.28 Issue 1, pp.17-24

Belge Tipi: Makale

Yayın Tarihi: 12/2003

Belge Dili: Türkçe

Document ID (Org No.): 2000761783

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Soliton pulse

optical fibres

finite-difference

nonlinear Schrdinger equations

Sayı

Yazarlar:

Adam USMAN | Junaidah OSMAN | David Reginald TILLEY

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2004 Vol.28 Issue 1, pp.17-24

Belge Tipi:

Makale

Yayın Tarihi:

12/2003

Belge Dili:

Türkçe

Document ID (Org No.):

2000761783

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

nonlinear Schrdinger equations