Crank-Nicholson method to solve one dimensional photorefractive Screening solitons equation
by
Alireza Keshavarz
Shiraz University Of Technology, Shiraz, Iran
Coauthors: Mohsen Hatami

Crank-Nicholson method to solve one dimensional

photorefractive Screening solitons equation

Alireza Keshavarz(a), Mohsen. Hatami(b)

(a) Department of Physics, Faculty of Science, Shiraz University of Technology,

Shiraz, Iran, P.O. Box 313-71555, keshavarz@sutech.ac.ir

(b) Department of Atomic and Molecular Physics, Faculty of Physics, Yazd University, Yazd, Iran, P.O. Box 741-89195, mhatami@yazduni.ac.ir

Crank-Nicholson method is used to solve nonlinear material equation describing photorefractive effect which is governed by screening solitons, and discovered by Askin in 1966. Matrix representation is introduced to find numerically soliton solution and simulation of the beam propagation. Also the stability of the numerical solution is investigated. Finally physical interpretation of the results is discussed. The outcome can be used in fabrication of all optical switching elements, and control of light by light.

REFERENCES

1- Kuroda, K. " Progress in Photorefractive Nonlinear Optics ", Taylor and Francis, 2002.

2- Stegeman G. "Optical spatial solitons: Historical perspectives", J. Select. Top. Quantum Electron. IEEE Vol.6, 1419-1427, 2000.

3- Shi T, Chi S. " Nonlinear photonic switching by using the spatial soliton collision", Opt. Lett. Vol. 15, 1123-1125, 1990.

4- Evans G, Blackledge J, Yardley P. "Numerical methods for partial differential equations", Springer Verlag, Berlin, 2000.

4- A. Keshavarz, Leila Sadralsadati, and Mohsen Hatami, "Simulation of Soliton Propagation in Photovoltaic Photorefractive Two-photon Materials and Study the Switching Behavior", PIERS Proceedings, Moscow, Russia, August 18-21, 1823, 2009.

Date received: December 28, 2009