Part I: Classical Dynamics

Chapter List

Chapter 1: Maxwell Equations
Chapter 2: Electromagnetic Field in Homogeneous Microspheres Without Surface Structures
Chapter 3: Electromagnetic Eigen Oscillations and Fields in a Dielectric Microsphere with Multilayer Spherical Stack
Chapter 4: Transmittance and Resonance Tunneling of the Optical Fields in the Microspherical Metal-Dielectric Structures
Chapter 5: Confinement of Electromagnetic Oscillations in a Dielectric Microsphere Coated by the Frequency Dispersive Multilayers
Chapter 6: Oscillations in Microspheres with an Active Kernel
Chapter 7: Transfer Matrix Approach in a Non-Uniform Case

This chapter serves as an introduction to the subject on classical electro dynamics. More details and information can be found in [Born & Wolf, 1980; Ginzburg, 1989; Jackson, 1975; Landau & Lifshits, 1975; Landau et al., 1984; Panofsky & Phillips, 1962; Solimeno et al., 1986; Stratton, 1941; Vainstein, 1969; Vainstein, 1988]. Some basic knowledge from the theory of electromagnetic fields is necessary for deeper understanding of the subsequent materials. It is also intended for references from the subsequent chapters.

1.1 Basic Equations

Maxwell equations are the basis for the theory of electromagnetic field. They have been written by English physicist G. Maxwell in 1873, and they were the generalization of the experimental facts available then. The state of field is described by the vectors of electric and magnetic fields accordingly, which can variate both in space , and in time t. The Maxwell equations have the forms