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The Wiener-Hopf technique has been extensively used with a variety of applications in different research areas including diffraction problems. In available literature, one can find numerous problems that have been solved using Wiener-Hopf technique. Applications of Wiener-Hopf technique include noise reduction, crystal growth, fracture mechanics, mathematical finance, diffusion models, solid mechanics, mathematical physics, viscous problems and of course diffraction/scattering of waves. In this book, the WH technique leads to an approach for considering the diffraction of waves by half planes, step discontinuities and strips of various natures in a variety of mediums.