Topological Insulators (TIs)?are insulators in the bulk, but have exotic metallic states at their surfaces. The topology, associated with the electronic wavefunctions of these systems, changes when passing from the bulk to the surface. This work?studies, by means of infrared spectroscopy, the low energy optical conductivity of Bismuth based TIs in order to identify the extrinsic charge contribution of the bulk and to separate it from the intrinsic contribution of the?surface state?carriers. The extensive results presented in this thesis definitely shows the 2D character of the carriers in Bismuth-based topological insulators. The experimental apparatus and the FTIR technique, the theory of optical properties and Surface Plasmon Polaritons, as well as sample preparation of both crystals and thin films, and the analysis procedures are thoroughly?described.This book examines the low energy optical conductivity of TIs to distinguish the extrinsic charge contribution of the bulk from the intrinsic contribution of the?surface state?carriers. Describes apparatus, methods, sample preparation and analysis procedures.List of Abbreviations.- Supervisor's Foreword.- 1 Introduction to the Topological Insulators and State of the Art.- 2 Experimental Technique, Sample Fabrication and Models for Data Analysis.- 3 Results and Analysis.Dr. Paola Di Pietro received both her three-year (2006) and her Master (2009, with highest marks) degrees in Physics from Sapienza University of Rome. She has five journal publications to her name, one of which in Nature Nanotechnology, with another article soon to come. She is currently affiliated to INSTM UdR Trieste-ST Area Science Park, Trieste, Italy. Her PhD thesis was nominated as the best?in Materials Science.Topological Insulators (TIs)? are insulators in the bulk, but have exotic metallic states at their surfaces. The topology, associated with the electronic wavefunctions of these systems, changes when passing from the bulk to the ló