LEADER 04630nam 2200745 a 450 001 9911020430503321 005 20241120174700.0 010 $a9786613175908 010 $a9781283175906 010 $a1283175908 010 $a9781118057919 010 $a1118057910 010 $a9781118057902 010 $a1118057902 024 7 $a10.1002/9781118057926 035 $a(CKB)2550000000041747 035 $a(EBL)697723 035 $a(SSID)ssj0000522052 035 $a(PQKBManifestationID)12209857 035 $a(PQKBTitleCode)TC0000522052 035 $a(PQKBWorkID)10527728 035 $a(PQKB)11766111 035 $a(MiAaPQ)EBC697723 035 $a(CaBNVSL)mat06047602 035 $a(IDAMS)0b00006481692aa4 035 $a(IEEE)6047602 035 $a(OCoLC)757486956 035 $a(PPN)267793804 035 $a(Perlego)1010987 035 $a(EXLCZ)992550000000041747 100 $a20110209d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiscontinuities in the electromagnetic field /$fM. Mithat Idemen 210 $aHoboken, N.J. $cWiley-IEEE Press$d2011 215 $a1 online resource (240 p.) 225 1 $aIEEE Press series on electromagnetic wave theory ;$v40 300 $aDescription based upon print version of record. 311 08$a9781118057926 311 08$a1118057929 311 08$a9781118034156 311 08$a1118034155 320 $aIncludes bibliographical references and index. 327 $aMachine generated contents note : Preface -- ch. 1. Introduction -- ch. 2. Distributions and derivatives in the sense of distribution: 2.1 Functions and distributions ; 2.2 Test functions : the space C ; 2.3 Convergence in D ; 2.4 Distributions ; 2.5 Some simple operations in D ; 2.6 Order of a distribution ; 2.7 The support of a distribution ; 2.8 Some generalizations -- ch. 3. Maxwell equations in the sense of distribution: 3.1 Maxwell equations reduced into the vacuum ; 3.2 Universal boundary conditions and compatibility relations ; 3.3 The concept of material sheet ; 3.4 The case of monochromatic fields ; ch. 4. Boundary conditions on material sheets at rest: 4.1 Universal boundary conditions and compatibility relations for a fixed material sheet ; 4.2 Some general results ; 4.3 Some particular cases -- ch. 5. Discontinuities on a moving sheet: 5.1 Special theory of relativity ; 5.2 Discontinuities on a uniformly moving surface ; 5.3 Discontinuities on a nonuniformly moving sheet -- ch. 6. Edge singularities on material wedges bounded by plane boundaries: 6.1 Introduction ; 6.2 Singularities at the edges of material wedges ; 6.3 The wedge with penetrable boundaries ; 6.4 The wedge with impenetrable boundaries ; 6.5 Examples : application to half-planes ; 6.6 Edge conditions for the induced surface currents -- ch. 7. Tip singularities at the apex of a material cone: 7.1 Introduction ; 7.2 Algebraic singularities of an H-type field ; 7.3 Algebraic singularities of an E-type field ; 7.4 The case of impenetrable cones ; 7.5 Confluence and logarithmic singularities ; 7.6 Application to some widely used actual boundary conditions ; 7.7 Numerical solutions of the transcendental equations satisfied by the minimal index -- ch. 8. Temporal discontinuities: 8.1 Universal initial conditions ; 8.2 Linear mediums in the generalized sense ; 8.3 An illustrative example -- References -- Index. 330 $a"This book presents some new approaches and basic results connected with the discontinuities of the electromagnetic field. The discontinuities in question may be (1) the bounded jump discontinuities on the interfaces between two media or on the material sheets which model very thin layers or (2) unbounded values at the edge of wedge type structures or (3) unbounded values at the tips of conical structures. The book involves may examples as well as problems (exercises) to be solved by the readers"--$cProvided by publisher. 410 0$aIEEE Press series on electromagnetic wave theory ;$v40. 606 $aElectromagnetic fields$xMathematics 606 $aMaxwell equations 606 $aElectromagnetic waves 615 0$aElectromagnetic fields$xMathematics. 615 0$aMaxwell equations. 615 0$aElectromagnetic waves. 676 $a530.14/1 686 $aSCI022000$2bisacsh 700 $aIdemen$b M. Mithat$01603726 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911020430503321 996 $aDiscontinuities in the electromagnetic field$93928233 997 $aUNINA