Studies on Some Aspects of Light Beam Propagation Through ...

22 REFERENCES
forms of the original partial differential equation is used for the numerical
analysis.
In Chapter 2, we have studied two kinds of solitons, the (2 + 1) D
spatial solitons and the (3 + l)D spatia-temporal soli tons in a cUbic-quintic
medium in the presence of rnultiphoton ionization.
In Chapter 3, we have studied the evolution of light beam through a
different kind of nonlinear media, the photorcfractive polymer. We study
modulational instability and beam propagation through a photorefractive
polymer in the presence of absorption losses. The onc dimensional beam
propagation through the nonlinear medium is studied llsing variational and
numerical methods. Stable soli ton propagation is observed both analytically
and numerically.
Chapter 4 deals with the study of modulational instability in a photorcfractive
crystal in the presence of wave mixing effects. IVlodulational
instability in a photorefractive medium is studied in the presence of two
wave mixing. We then propose and derive a model for forward four wave
mixing in the photorefractive medium and investigate the modulational
instability induced by four wave mixing effects. By using the standard
linear stability analysis the instability gain is obtained.
Chapter 5 deals with the study of self-written waveguides. Besides
the usual analytical analysis, basic experiments were done showing the
formation of self-written waveguide in a photopolymer system.
The formation of a directional coupler in a photopolymer syst.em is
studied theoretically in Chapter 6. We propose and study, using the
variational approximation as well as numerical simulation, the evolution
of a probe beam through a directional coupler formed in a photopolymer
system.
The main results and conclusion of this thesis are given in Chapter
7. The future prospects are also presented.
References
[1] B. A. Dubrovin and S. P. Novikov, "Hydrodynamics of weakly deformed
soli ton lattices. differential geometry and hamiltonia.n theory," RUBS Math
Surv 44, 35-124 (1989).
12] G. P. Agrawal, N()nlinea'T' Fiber- Optics (Academic Press, SaIl Diego, California,
2001).
P] N. J. Zabusky and M. D. Krnskal, "Interact.ion of "soli tons" in a collisionless
plasma and the recurrence of initial states," Phys. Rev. Lett. 15, 240 - 243
(19G5).