Ray Tracing In Metamaterials

The main research direction in field of metamaterials is to achieve accurate control and modulation of electromagnetic waves by means of the design which has special electromagnetic structure. The theoretical analysis and the concise physical picture on light transmission in device with metamaterials are given in the thesis.Based on the geometrical optics, we firstly analyze and give the Hamiltonian for several functional device with metamaterials. The light distribution of all regions is obtained by establishing and solving the motion equation. In the case of the device with different refractive index, we investigate the light transmission in concentrator. It is shown that only the incident light rays in actual size range of an EM device would be affected. When the permittivity and permeability of the coated layer are positive, the incident light in orginal compression area would be transferred into inner core. If they are all negative(NIM, metamaterials with negative refractive indexes), all the incident light rays in the actual size range would enter into the inner core. With the increase of the compression ratio, the light rays in inner core would approach gradually the center axis and the region occupied by the corresponding light is gradually compressed. The rest of space in inner core is occupied by the excited rays resulted from external incident wave excitation. The excited ray circulates in concentrator itself and has no effect on light propagation outside the device. Our work give the light trajectories in metamaterials, especially in NIM, so it will provide an important theoretical reference for researchers to understand the propagation behavior in metamaterials. Then the method of geometrical optics is applied to Cartesian coordinates and we study the light transmission in square cloak and concentrator which have poor symmetry. Finally, we use the method of geometrical optics to calculate and analyze the scattering effect on some kinds of phenomena in superscatterer from the view of light transmission, especially explanation in detail for the maximum value on the boundary. The method and result in this thesis are beneficial supplement to the finite element simulation method often used in metamatertials and will enhance our knowledge on the light transmission process of metamaterials to a certain extent.