Phd in MATHEMATICAL MODELS FOR ENGINEERING, ELECTROMAGNETICS AND
NANOSCIENCES

Thesis title: Exploring the Temperature-dependent Goos-Hänchen shift and its applications in various media

Abstract: The thesis explores the temperature-dependent Goos-Hänchen shift (TGH-shift), a unique electromagnetic phenomenon, particularly its interaction with absorbing media. A deep investigation has been presented in terms of its theoretical aspects and potential applications in optoelectronics. Despite progress, there is room for further practical exploration, especially in temperature-sensitive devices. The thesis provides historical context, introduces electromagnetism, and outlines the methodology used. The study employs the Lorentz-Drude model to examine how the Goos-Hänchen shift (GH-shift) varies with temperature, focusing on the constitutive parameter’s (permittivity and permeability) dependency on temperature. Frequency analysis has been mentioned while considering both transverse electric and transverse magnetic polarization scenarios and their variations with temperature. The main focus is on temperature-independent and temperature-dependent Goos-Hänchen shifts, with case studies providing a deeper understanding and comparisons with prior research. The study also explores the behavior of reflectivity and phase for different polarization scenarios. Comparison has been made in terms of the dependency of GH-shifts upon temperature and a discussion of the potential development of temperature-sensitive devices has been presented.