Study On Theories And Applications Of Complex New-type Electromagnetic Structures

The attention of electromagnetic researchers is recently focused on new-type electromagnetic structures and materials, which have huge applications in microwave and millimeter wave fields. However, the study on the theory and application of new-type electromagnetic structures and materials is at the initial stage. Lots of efforts should be put into the research on its related theory, numerical simulation, experimental measurement and actual applications. Therefore, the analysis on the special properties of Left-Handed Materials and new-type electromagnetic medium is applied at first. Then, on the basis of basic concepts such as Fermat's principle, electromagnetic energy and least action principle and so on in electrodynamics, generalizing and solving some key theoretical problem in the researches related to new electromagnetic medium. In addition to the theoretical study, several novel properties of some representative electromagnetic or optical structures are studied in the following chapters. Taking typical photonic band-gap structure of square lattice as research model, certain main properties, such as band-gap, coherent solitons and dissipation in photonic critical with linear and non-linear Kerr type media, are investigated respectively. And the numerical example is also given out. Based on the consideration of the properties in several new electromagnetic materials and structures, some structure models are analyzed in full-wave simulation and experiment. The author's major contributions are listed as follows:After employing the further investigation on negative refraction in Left-handed, the generalized expression of refractive index is proposed and Fermat's principle is also generalized. Through comparing Fermat's principle and least action principle and using path integrals, the two principles are united in macroscopic level. The importance of phase in action principle is pointed out.The electromagnetic energy in new electromagnetic medium is investigated. Different expression of electromagnetic energy is proposed based on the early works of Englman et al. Lagrangian in dissipative electromagnetic material is proposed on the basis of the introduction of fractional derivative. Lorentz medium model is deduced from Euler-Lagrange equation related. Hamiltonian, invariance of time and energy are investigated, and electromagnetic energy obtained fits early work reported in literature. Foster's theory based on Lorentz model is investigated in dispersive medium. Through using circuit model, electromagnetic energy expressions defined by Tretyakov and Boardman is related theoretically.Photonic band-gap (PBG) structure in linear and non-linear media is study respectively. Band-gap property of linear photonic crystal is analysis by using plane wave method. Defining action and applying variational method, coherent effects of X-point solitons are investigated. Considering extensive existence of dissipation, the effect of dissipation on solitons is also investigation through introducing dissipative least action principle.In order to explore novel performance, numerical simulation and experiment is employed for several typical new-type electromagnetic. Left handed materials blocks lying in Planar waveguide with different spatial distribution is simulated. Surface and spatial wave in planar microstrip composite periodic structure and it unit are analyzed in circuit and full wave levels. Evanescent wave performance is study in different type matematerials. Applying improved waveguide measurement, Mushroom-like electromagnetic band-gap (EBG) structure loaded resisters in single direction is produced and its reflection is measured. Preliminary result has been obtained.