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Reconstruction of Macroscopic Maxwell Equations: A Single Susceptibility Theory Second Edition 2018 [Kietas viršelis]

  • Formatas: Hardback, 156 pages, aukštis x plotis: 235x155 mm, weight: 454 g, 9 Illustrations, black and white; XX, 156 p. 9 illus., 1 Hardback
  • Serija: Springer Tracts in Modern Physics 237
  • Išleidimo metai: 08-Jan-2019
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3662584239
  • ISBN-13: 9783662584231
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 156 pages, aukštis x plotis: 235x155 mm, weight: 454 g, 9 Illustrations, black and white; XX, 156 p. 9 illus., 1 Hardback
  • Serija: Springer Tracts in Modern Physics 237
  • Išleidimo metai: 08-Jan-2019
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3662584239
  • ISBN-13: 9783662584231
Kitos knygos pagal šią temą:
This book offers a logically more complete form of macroscopic Maxwell equations than conventional ones, by applying long wavelength approximation to microscopic nonlocal theory, which solves problems inherent to the conventional scheme of Maxwell equations.

This book discusses the electromagnetic response function of matter, providing a logically more complete form of macroscopic Maxwell equations than the conventional literature. It shows that various problems inherent to the conventional macroscopic Maxwell equations are solved by the first-principles derivation presented. Applying long wavelength approximation to microscopic nonlocal response theory results in only one susceptibility tensor covering all the electric, magnetic and chiral polarizations, and the book provides its quantum mechanical expression in terms of the transition energies of matter and the lower moments of corresponding current density matrix elements. The conventional theory in terms of epsilon and mu is recovered in the absence of chirality under the condition that magnetic susceptibility is defined with respect to not H, but to B.

This new edition includes discussions supporting the basis of the present electromagnetic response theory in a weakly relativistic regime, showing the gauge invariance of many-body Schroedinger equation with explicit Coulomb potential, the relationship between this theory and the emergent electromagnetism, and the choice of appropriate forms of single susceptibility theory and chiral constitutive equations.


Recenzijos

This book makes for interesting reading, offering new ideas to both professional researchers as well as graduate students in the field of electromagnetism in various media. (Vladimir ade, zbMATH 1421.78001, 2019)

1 Introduction
1(18)
1.1 Purpose of the Book
1(3)
1.2 Macro- and Microscopic Maxwell Equations
4(5)
1.3 Standard Derivation of Macroscopic Maxwell Equations
9(2)
1.4 Hierarchy of EM Response Theories
11(1)
1.5 "Problems" of the Conventional Maxwell Equations
12(4)
1.6 Meaning of Macroscopic Averaging
16(3)
References
18(1)
2 New Form of Macroscopic Maxwell Equations
19(40)
2.1 New Strategy for Derivation
19(1)
2.2 Microscopic Nonlocal Response Theory
20(31)
2.2.1 Precise Definition of "Matter, EM Field and Interaction"
22(6)
2.2.2 Calculation of Microscopic Nonlocal Susceptibility
28(3)
2.2.3 Fundamental Equations to Determine Microscopic Response
31(4)
2.2.4 Characteristics of Microscopic Nonlocal Response Theory
35(3)
2.2.5 Gauge Invariance of Many-Body Schrodinger Equation
38(6)
2.2.6 Relativistic Correction Terms
44(7)
2.3 Long Wavelength Approximation (LWA)
51(3)
2.4 New Macroscopic Susceptibility
54(2)
2.5 Dispersion Equation
56(3)
References
58(1)
3 Discussions of the New Results
59(34)
3.1 Rewriting of the New Constitutive Equation
59(3)
3.2 Unified Susceptibility for T and L Source Fields
62(3)
3.3 New and Conventional Dispersion Equations
65(1)
3.4 Case of Chiral Symmetry: Comparison with DBF-Equations
66(5)
3.5 Other Unconventional Theories
71(8)
3.5.1 Single Susceptibility Theories
71(3)
3.5.2 Comparison of Single Susceptibility Theories
74(4)
3.5.3 Use of LWA on a Different Stage
78(1)
3.6 Validity Condition of LWA
79(2)
3.7 Boundary Conditions for EM Fields
81(4)
3.8 Some Examples of Application
85(8)
3.8.1 Dispersion Relation in Chiral and Non-chiral Cases
86(2)
3.8.2 Transmission Window in Left-Handed Materials: A Test of New and Conventional Schemes
88(4)
References
92(1)
4 Further Considerations
93(24)
4.1 Consequences to the Metamaterials Studies
93(12)
4.1.1 Definition of Left-Handed Materials (LHM)
93(3)
4.1.2 Use of (ε, μ) and Homogenization
96(1)
4.1.3 "Microscopic", "Semi-macroscopic" and "Electric Circuit" Approaches
97(1)
4.1.4 Nonlocal Response of Metamaterials
98(3)
4.1.5 Dispersion Curves in Chiral LHM: Difference Between DBF and ChC eqs
101(4)
4.2 Spatial Dispersion in Macro- Versus Microscopic Schemes
105(1)
4.3 Resonant Bragg Scattering from Inner-Core Excitations
106(4)
4.4 Renormalization of L Current Density into EL
110(4)
4.4.1 Use of EL as External Field
110(2)
4.4.2 Difference in the Criterion for LWA
112(2)
4.5 Extension to Nonlinear Response
114(3)
References
115(2)
5 Mathematical Details and Additional Physics
117(36)
5.1 Continuity Equation and Operator Forms of P and M in Particle Picture
117(3)
5.2 Equations of Motion Obtained from Lagrangian L
120(7)
5.2.1 Newton Equation for a Charged Particle Under Lorentz Force
120(3)
5.2.2 Equations of Motion for φ and A
123(2)
5.2.3 Generalized Momenta and Hamiltonian
125(2)
5.3 Form of Interaction Term
127(6)
5.3.1 Another Set of Lagrangian and Hamiltonian
127(4)
5.3.2 Velocity Gauge Versus Length Gauge
131(2)
5.4 Derivation of Constitutive Equation from Density Matrix
133(3)
5.5 Rewriting the (0|N(r)|0) Term
136(4)
5.6 Division of Qμν into E2 and M1 Components
140(1)
5.7 Problems of Longitudinal (L) Field
141(9)
5.7.1 T and L Character of Induced Field
141(3)
5.7.2 Excitation by an External L Field
144(4)
5.7.3 L and T Field Produced by a Moving Charge
148(2)
5.8 Dimension of the Susceptibilities in SI and cgs Gauss Units
150(3)
References
152(1)
Index 153
Brief Biography of Kikuo Cho Prof. Dr. Kikuo Cho was born in 1940 in Japan. He got his PhD in 1970 from Tokyo University for the theoretical study of optical line shapes of alkali-halide phosphors. He was research assistant at the Institute for Solid State Physics of Tokyo University from 1966 to 1971, studying the optical properties of impurity centers and excitons in non-metallic crystals.  Then he spent 5 years and a half in Europe, as visiting Professor at Stuttgart University for 1971-72, as reseach associate at the University of Strasbourg for 1972-73, and as visiting researcher at Institut fuer Festkoerperforschung in Stuttgart for 1973-76.  During this period, he had strongly collaborated with experimental groups, which resulted in the book Excitons (Springer Verlag, Topics in Current Physics 14). In 1977 he became associate Professor of solid state theory at Osaka University and full professor in 1991. In the latter half of this period his main activity ison the construction of microscopic nonlocal response theory (Optical Response of Nanostructures, Springer Verlag, series Solid State Science).  After retirement in 2004, he became Professor Emeritus of Osaka University. In the years 2006 2010 he was Fellow of Toyota Physical and Chemical  Research Institute, and devoted himself to the logically complete reformulation of macroscopic Maxwell equations based on his own microscopic nonlocal response theory. It resulted in the book, Reconstruction of macroscopic Maxwell equations (Springer Tracts in Modern Physics, 2010). Since 2015 July he is a member of the council of Toyota Physical and Chemical Research Institute.