LEADER 04284nam 2200757 a 450 001 9910962552703321 005 20200520144314.0 010 $a9786612158780 010 $a9781282158788 010 $a1282158783 010 $a9781400828166 010 $a1400828163 024 7 $a10.1515/9781400828166 035 $a(CKB)1000000000788557 035 $a(EBL)457890 035 $a(OCoLC)436086359 035 $a(SSID)ssj0000269429 035 $a(PQKBManifestationID)11240978 035 $a(PQKBTitleCode)TC0000269429 035 $a(PQKBWorkID)10247246 035 $a(PQKB)10096694 035 $a(DE-B1597)446876 035 $a(OCoLC)979835070 035 $a(DE-B1597)9781400828166 035 $a(Au-PeEL)EBL457890 035 $a(CaPaEBR)ebr10312574 035 $a(CaONFJC)MIL215878 035 $a(MiAaPQ)EBC457890 035 $a(PPN)170253678 035 $a(Perlego)734548 035 $a(FR-PaCSA)45004290 035 $a(FRCYB45004290)45004290 035 $a(EXLCZ)991000000000788557 100 $a20061204d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aWave scattering by time dependent perturbations $ean introduction /$fG.F. Roach 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$d2007 215 $a1 online resource (300 p.) 225 1 $aPrinceton series in applied mathematics 300 $aDescription based upon print version of record. 311 08$a9780691113401 311 08$a0691113408 320 $aIncludes bibliographical references (p. [275]-283) and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter One. Introduction and Outline of Contents -- $tChapter Two. Some Aspects of Waves on Strings -- $tChapter Three. Mathematical Preliminaries -- $tChapter Four. Spectral Theory and Spectral Decompositions -- $tChapter Five. On Nonautonomous Problems -- $tChapter Six. On Scattering Theory Strategies -- $tChapter Seven. Echo Analysis -- $tChapter Eight. Wave Scattering from Time-Periodic Perturbations -- $tChapter Nine Concerning Inverse Problems -- $tChapter Ten. Some Remarks on Scattering in Other Wave Systems -- $tChapter Eleven. Commentaries and Appendices -- $tBibliography -- $tIndex 330 $aThis book offers the first comprehensive introduction to wave scattering in nonstationary materials. G. F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms. New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material in question, "imperfections" in the resulting echo can reveal a tremendous amount of valuable diagnostic information. The mathematics behind such analysis is sophisticated and complex. However, while problems involving stationary materials are quite well understood, there is still much to learn about those in which the material is moving or changes over time. These so-called non-autonomous problems are the subject of this fascinating book. Roach develops practical strategies, techniques, and solutions for mathematicians and applied scientists working in or seeking entry into the field of modern scattering theory and its applications. Wave Scattering by Time-Dependent Perturbations is destined to become a classic in this rapidly evolving area of inquiry. 410 0$aPrinceton series in applied mathematics. 606 $aWaves$xMathematics 606 $aScattering (Physics)$xMathematics 606 $aPerturbation (Mathematics) 615 0$aWaves$xMathematics. 615 0$aScattering (Physics)$xMathematics. 615 0$aPerturbation (Mathematics) 676 $a531/.1133 700 $aRoach$b G. F$g(Gary Francis)$013774 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910962552703321 996 $aWave scattering by time dependent perturbations$94336196 997 $aUNINA