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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