LEADER 04762nam 22007455 450 001 9910299584503321 005 20200705141852.0 010 $a981-10-4923-8 024 7 $a10.1007/978-981-10-4923-1 035 $a(CKB)4100000000586847 035 $a(DE-He213)978-981-10-4923-1 035 $a(MiAaPQ)EBC5024556 035 $a(PPN)204531098 035 $a(EXLCZ)994100000000586847 100 $a20170907d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aWave Propagation and Diffraction$b[electronic resource] $eMathematical Methods and Applications /$fby Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha 205 $a1st ed. 2018. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (XV, 241 p. 65 illus.) 225 1 $aFoundations of Engineering Mechanics,$x1612-1384 311 $a981-10-4922-X 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aSome Analytical and Numerical Methods in the Theory of Wave Propagation and Diffraction -- Spectral Methods in the Theory of Wave Propagation -- Ray Method of Investigating the Wave Evolution over Arbitrary Topography -- Analytical and Numerical Solutions of Wave Diffraction Problems -- Wave Diffraction by Convex Bodies in Semibounded Regions -- Propagation and Evolution of Transient Water Waves. 330 $aThis book presents two distinct aspects of wave dynamics ? wave propagation and diffraction ? with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens?Fresnel principle); the Fourier method; and the separation of variables and Wiener?Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling t he refraction of surface gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory. 410 0$aFoundations of Engineering Mechanics,$x1612-1384 606 $aMechanics 606 $aMechanics, Applied 606 $aOptics 606 $aElectrodynamics 606 $aNumerical analysis 606 $aMaterials science 606 $aCrystallography 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aClassical Electrodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21070 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aCharacterization and Evaluation of Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z17000 606 $aCrystallography and Scattering Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/P25056 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aOptics. 615 0$aElectrodynamics. 615 0$aNumerical analysis. 615 0$aMaterials science. 615 0$aCrystallography. 615 14$aSolid Mechanics. 615 24$aClassical Electrodynamics. 615 24$aNumerical Analysis. 615 24$aCharacterization and Evaluation of Materials. 615 24$aCrystallography and Scattering Methods. 676 $a531.1133 700 $aSelezov$b Igor T$4aut$4http://id.loc.gov/vocabulary/relators/aut$01064697 702 $aKryvonos$b Yuriy G$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aGandzha$b Ivan S$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299584503321 996 $aWave Propagation and Diffraction$92540256 997 $aUNINA