Research On Transmission Peculiarity Of Thue-Morse Photonic Crystal Containing Positive Index Materials And Negative Index Materials

Computer, internet, information freeway which are developed basing on the semiconductor electronics have changed the modern life much. They all utilize and manipulate the trait of electrons well. Experts forecast it will be difficult to control the defects not only in the calorific side-effect of chips but also in the movement of electrons, while the size of semiconductor transistor approaches nano-metric. So the semiconductor transistor will become irresponsible. In comparison with electrons, photons as the carriers of information and energy have more indescribable advantages. We can imagine how wide developing field will be if we turn to photons.A new concept photonic crystal is presented according to the assumption that the photons have the same propagation rule in crystal as the electrons. Photonic crystals (PC) are artificially composed of two or more dielectrics arranged periodically. The basic characteristic for photonic crystals is its photonic band gap. Consequently, it provides a good way to manipulate the propagation of photons which is analogous to the case of electrons in the semiconductor. In recent years, a complicated artificial material with negative refraction has attracted much attention theoretically and experimentally. If we consider photonic crystals containing negative refraction, we will get many new transportation phenomena.Aperiodic systems whose lattices are deterministically arrayed have degrees of order intermediate between periodic photonic crystals and disorder systems. Two typical systems are the Fibonacci and Thue-Morse lattices. In this thesis, we study the propagation of light through Thue-Morse photonic crystals containing negative refraction materials and normal materials by means of numerical simulation.We consider the model with the simple negative refraction materials and normal materials. By using the condition that the tangential components of electromagnetic field and its first derivative are continuous across the interface, we can get the transfer matrix for normal photonic crystal. We introduce TM structure into photonic crystal and let negative materials take place of B layers, then obtain the new form of transfer matrix. According to transfer matrix and mathematic induction, the recursion relations of the transfer matrix elements are derived to calculate the transmission of our model. By...