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

Gontents
Table of Contents vii
Preface
List of Publications xi
Acknow ledgements xiv
1 Optical Solitons : An Introduction
1.1 I3asic concepts and terminology
1.1.1 Temporal solitons
1.1.2 Spatial solitons . . . . .
1.1.3 Spatio-temporal soli tons
1.2 Variational method ...... .
1.3 Finite difference beam propagation method
1.4 Historical developments and current status
1.5 Outline of the thesis
References . . . . . . . . . . . . . . . . . . .
2 Solitons in Bulk Cubic-Quintic Media 21
2.1 Introduction....................... 27
2.2 Spatial solitons stabilized by rnultiphoton ionization 30
2.2.1 Model equation and analysis :30
2.2.2 Numerical analysis . . . . . . . . . . . . . . . 38
2.3 Spatia-temporal soli tons stabilized by multiphoton ionization :39
2.3.1 Analytical and numerical analysis :30
2.4 Conclusions 45
References . . . . . . . . . . . . . . . . . . {if>
3 Soli tons in Photorefractivc Polymers 49
3.1 Introduction........... ,la
3.1.1 Band transport model . 50
3.1.2 Photorefractive solitons 5:3
3.2 Model equation . . . . . . . . . . . . . . . . . . . . . . .. !)()
3.3 Nonlinear plane waves and their modulational instability. G7
3.4 Variational analysis for the beam propagation 52
3.5 Numerical Analysis. G5
3.6 Conclusions G7
References . . . . . . . . . 68
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