This chapter investigates some aspects of wave propagation with a major focus on the effects of linear constitutive properties (functions or functionals). A detailed analysis of time-harmonic waves in uniform materials is given and classical topics on plane waves are re-visited, such as waves in magneto-hydrodynamics or in anisotropic dielectrics. Propagation and reflection-transmission are examined for dissipative materials, where the wave vector is complex valued. The propagation of plane wavefronts (singular surfaces) is also developed for materials with memory.
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