English (United States)
This thesis investigates dynamics in leaking systems with and without amplification. On the one hand, we introduce and investigate both theoretically and experimentally a new measure of Anderson localization in random media which takes absorption into account. On the other hand, we study wave propagation in a new class of synthetic optical materials (periodic or random) where gain and loss are judiciously tailored. These two seemingly different types of problems are nicely brought together in the framework of non-Hermitian Hamiltonian formalism.
Zheng, Mei Chai, "Non-Hermitian Dynamics: Examples from Disordered Microwave Cavities and Classical Optics" (2010). Honors Theses - All. 515.
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