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This lecturer tries to introduce and compare two kinds of waves (optical waves and mechanical waves) in the same course. After taking this course, students who major in applied mechanics or mechanical engineering will understand wave propagation phenomenon and its applications in both optical engineering and solid mechanics. As for the contents of this course, we will cover topics including sound waves, water waves, elastic waves in solids, waveguides, waves in periodic structures (e.g., phononic crystals and metamaterials), optical waves, interference, and the optical waveguides, including fiber Bragg gratings. 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