Reconstruction of macroscopic Maxwell equations. A single susceptibility theory (Q1755659)

This monograph is devoted to the analysis and derivation of macroscopic Maxwell's equations based on models of microscopic processes in fully charged particle media in the presence of external charges, currents and electromagnetic fields. The main issue is therefore a suitable construction of more complete self-consistent constituent equations of the medium that govern the dynamics of charged particles coupled to the resulted electromagnetic field. For this purpose, one first has to specify initial assumptions and limitations imposed on description of microscopic particle motions as a response to the varying electromagnetic field and then to apply a chosen averaging procedure to obtain measurable macroscopic quantities from their microscopic fluctuations. The book is divided into five chapters, each followed by a list of references. Chapter 1 is introductory with explanations and critical remarks on standard microscopic and macroscopic descriptions of Maxwell's equations, electromagnetic response of a material medium, and macroscopic averaging applying the long wavelength approximation. Chapter 2 deals with a new nonlocal approach to the microscopic response theory, including the calculation of nonlocal susceptibility. This chapter contains two new sections, not found in the first addition of the book, on the application of the gauge invariance of the Schrödinger equation and relativistic correction terms in determining particle motions. Chapter 3 gives discussions of the new results on, among other things, the constitutive equations, unified susceptibility, dispersion equations, boundary conditions for electromagnetic fields, and some examples of applications, including the case of media with chiral symmetry not found in the first edition of the book. Chapter 4 elaborates and discusses problems and limitations of the long wavelength approximation in treating metamaterials, including resonant scattering and inclusion of nonlinearities. Finally, Chapter 5 provides additional details about mathematical treatments and physical processes involved. 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.