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Thesis Details
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129
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Title
DEDICATION
CERTIFICATE
DECLARATION
ACKNOWLEDGEMENT
CONTENTS
Synopsis
1. Introduction
1.1 Wave Diffusion
1.2 Anderson Localization
1.3 Localization of Light
1.4 Criterion for Localization
1.5 The Coherent Backscattering Effect
1.6 Lasing Action from Coherent Feedback
1.7 Invariant Imbedding Approach to Wave Transport
1.8 Problems Studied in this Thesis Connected with Photon Transport in Disordered Media
1.9 Fermi Liquids
1.10 The Luttinger Liquid
1.11 Transport Properties
1.12 Isolated Impurities
1.13 Examples of Luttinger Liquids
1.14 Problems Studied in this Thesis Connected with Electron Transport in Disordered Media
References
2. The Transport Coefficients in Presence of an Imaginary Potential
2.1 Introduction
2.2 Absorption
2.3 The Optical (Imaginary) Potential
2.4 Constant Imaginary Part
2.4.1 Reflection
2.4.2 Absorption
2.4.3 Transmission
2.5 Random Imaginary Part
2.5.1 Reflection
2.5.2 Absorption
2.5.3 Transmission
2.6 Conclusion
References
3. Reflection of Light from, a Random Amplifying Medium with Disorder in the Complex Refractive Index: Statistics of Fluctuations
3.1 Random Laser
3.2 The Gaussian White Noise Disorder
3.2.1 The Fokker- Planck Equation
3.2.2 Results and Discussion
3.3 Correlated Telegraph Disorder
3.3.1 Results and Discussion
3.4 Conclusion
References
4. Effect of Variation of the Background Profile on the Reflection Statistics of Random Laser
4.1 Introduction
4.2 Model
4.3 Conclusion
References
5. A Scaling Theory for Transport Across Dirty Luttinger Liquids
5.1 Luttinger Liquid in One Dimension
5.2 d-Dimensional Luttinger Liquid
5.3 Distribution of Resistance for d-Dimensional Luttinger Liquid
5.4 Results and Discussion
References
6. Tunneling Conductance at Finite Bias of Luttinger Liquid Loops and Bundles
6.1 Tunneling Conductance of a Loop
6.2 Multi Channel Luttinger Liquid
6.3 Conclusion
References