The book "Wave Propagation in Infinite Domains" offers a comprehensive investigation of wave propagation in infinite or unbounded areas, which is significant in various scientific and engineering applications. It presents the theoretical foundations and applications of a novel numerical model capable of simulating such wave phenomena. The focus is on linear waves in ideal fluids and elastic domains. The book addresses the numerical simulation of waves based on scalar and vector wave mechanics, as well as the interaction between fluid and structure and between soil and structure. The underlying model combines the Finite Element Method (FEM) with the Scaled Boundary Finite Element Method (SBFEM) to ensure the efficiency and accuracy of the simulations. Benchmark examples are presented to demonstrate the performance of the algorithm. The application areas covered include acoustics, the dynamic behavior of offshore wind turbines, and the seismic analysis of buildings considering interactions with the ground.