LEADER 04268nam 2200637 450 001 9910824032703321 005 20230807221356.0 010 $a3-11-031129-1 010 $a3-11-038301-2 024 7 $a10.1515/9783110311297 035 $a(CKB)3710000000455773 035 $a(EBL)2127876 035 $a(SSID)ssj0001530021 035 $a(PQKBManifestationID)12638477 035 $a(PQKBTitleCode)TC0001530021 035 $a(PQKBWorkID)11536304 035 $a(PQKB)10877742 035 $a(MiAaPQ)EBC2127876 035 $a(DE-B1597)207774 035 $a(OCoLC)918622862 035 $a(OCoLC)953308037 035 $a(DE-B1597)9783110311297 035 $a(Au-PeEL)EBL2127876 035 $a(CaPaEBR)ebr11084438 035 $a(CaONFJC)MIL814765 035 $a(EXLCZ)993710000000455773 100 $a20150814h20152015 uy 0 101 0 $aeng 135 $aurun#---|u||u 181 $ctxt 182 $cc 183 $acr 200 14$aThe method of the generalised eikonal $enew approaches in the diffraction theory /$fMichael V. Vesnik 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2015. 210 4$dİ2015 215 $a1 online resource (216 p.) 225 1 $aDe Gruyter Studies in Mathematical Physics,$x2194-3532 ;$vVolume 29 300 $aDescription based upon print version of record. 311 $a3-11-031130-5 311 $a3-11-031112-7 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $tFront matter --$tPreface --$tContents --$tIntroduction --$t1 Method of Generalized Eikonal --$t2 Solution of Two-dimensional Problems by the Method of Generalized Eikonal --$t3 Application of Two-dimensional Solutions to Three-dimensional Problems --$t4 Diffraction by a Plane Perfectly Conducting Angular Sector (Heuristic Approach) --$t5 Propagation of Radio Waves in Urban Environment (Deterministic Approach) --$t6 Analytical Heuristic Solution for Wave Diffraction by a Plane Polygonal Scatterer --$t7 Conclusion --$tA Application of Stokes Theorem to Diffraction Problems --$tB Rigorous Two-dimensional Solution for Diffraction by Half-plane --$tC Application of Imaginary Edge in Diffraction Problems --$tD Summary of Formulas for Diffraction by Plane Angular Sector --$tE Fresnel Integral and its Properties --$tF Generalized Fresnel Integral and Its Properties --$tG Electromagnetic Wave Diffraction by Semi-transparent Plate in the Physical Optics Approximation --$tH Generalized Diffraction Coefficient and its Application to Diffraction Problems --$tBibliography --$tIndex --$tBackmatter 330 $aDiffraction theory describes scattering mechanisms for waves of various physical nature, scattered by objects of different shapes and materials. This book proposes new methods to account for the contour shape, edge profile and boundary conditions of three-dimensional scatterers (in particularly, flat polygons and polyhedrals). A standard method to refine the physical optics approximation (PO) is the heuristic method of edge waves (MEW). In comparison with MEW, the presented approaches simplify the solving and refining the PO approximation without solving a corresponding two-dimensional problem. Furthermore these methods allow to take into account the field perturbation in the vicinity of vertices. While the analytical formulas obtained by using these new approaches are as simple as in the PO case, the accuracy can be even higher than for MEW. On the basis of the developed methods construction of solutions for wave propagation in urban area and elastic wave diffraction (including seismic waves) are proposed. The book is useful for specialists who solve scientific and engineering problems in wave propagation and for students and postgraduate students. 410 0$aDe Gruyter studies in mathematical physics ;$vVolume 29. 606 $aDiffraction$xMathematics 615 0$aDiffraction$xMathematics. 676 $a535/.42 700 $aVesnik$b Michael V.$01660733 701 $aYakush$b Sergey$01660734 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910824032703321 996 $aThe method of the generalised eikonal$94016170 997 $aUNINA