Natural Oscillations of Coupling Dielectric Resonators- Multi- Filters on Lattices of Dielectric Resonators -- Scattering of Electromagnetic Waves on Lattices of Dielectric Resonators in the Open Space -- Antenna Structures on Lattices of Dielectric Resonators -- Scattering of Electromagnetic Pulses on Lattices of Dielectric Resonators -- �Conclusions.

This book provides the analytical theory of complex systems composed of a large number of high-Q dielectric resonators. Spherical and cylindrical dielectric resonators with inferior and also whispering gallery oscillations allocated in various lattices are considered. A new approach to S-matrix parameter calculations based on perturbation theory of Maxwell equations, developed for a number of high-Q dielectric bodies, is introduced. All physical relationships are obtained in analytical form and are suitable for further computations. Essential attention is given to a new unified formalism of the description of scattering processes. The general scattering task for coupled eigen oscillations of the whole system of dielectric resonators is described. The equations for the� expansion coefficients are explained in an applicable way. The temporal Green functions for the dielectric resonator are presented. The scattering process of short pulses in dielectric filter structures, dielectric antennas� and lattices of dielectric resonators is discussed. �.