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008 111121t2011 njua f b 001 0 eng d
020 _a9781118034156 (hardback)
020 _a1118034155 (hardback)
039 9 _a201202011537
_bfauzi
_y201111211018
_zsri
040 _aUMP
090 _aQC665.E4 I34 2011
100 1 _aIdemen, M. Mithat
245 1 0 _aDiscontinuities in the electromagnetic field /
_cM. Mithat Idemen
260 _aHoboken, N.J. :
_bWiley-IEEE Press,
_cc2011
300 _axii, 224 p. :
_bill. ;
_c25 cm.
490 1 _aIEEE Press series on electromagnetic wave theory
504 _aIncludes bibliographical references and index
505 8 _aMachine generated contents note: Preface. -- Chapter 1. Introduction. -- Chapter 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 C. -- 2.4 Distributions. -- 2.5 Some simple operations on distributions. -- 2.6 Order of a distribution. -- 2.7 The support of a distribution. -- 2.8 Some generalizations. -- Chapter 3. Maxwell equations in the sense of distributions. -- 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. -- Chapter 4. Boundary conditions on material sheets at rest. -- 4.1 Universal boundary conditions and compatibility relations. -- 4.2 Some general results. -- 4.3 Some particular cases. -- Chapter 5. Boundary conditions on a moving material sheet. -- 5.1 Boundary conditions on plane which moves in a direction normal to itself. -- 5.2 Derivation of the boundary conditions by the Special Theory of Relativity when the motion is uniform. -- 5.3 Boundary conditions on the interface of two simple media. -- Chapter 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. -- Chapter 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 widely used actual boundary conditions. -- 7.7 Numerical solutions of the transcendental equations satisfied by the minimal exponent. -- Chapter 8. Temporal discontinuities. -- 8.1 Universal initial conditions. -- 8.2 Linear mediums in the generalized sense. -- 8.3 An illustrative example. -- References. -- Index
520 _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"-- Provided by publisher
650 0 _aElectromagnetic fields
_xMathematics
650 0 _aMaxwell equations
650 0 _aElectromagnetic waves
830 0 _aIEEE Press series on electromagnetic wave theory
999 _aVIRTUA40
_c57178
_d57184
999 _aVTLSSORT0080*0200*0201*0400*0900*1000*2450*2600*3000*4900*5040*5050*5200*6500*6501*6502*8300*9991