| In recent years, photonic crystal has become one of the popular reasearch due to the unique properties and potential applications. Negative refraction is one of the im-portant properties of photonic crystal. In this paper, the properties of negative refraction photonic crystal were analyzed and simulated. The following research elements were included in the paper:(1) The dispersion properties of one-dimensional photonic crystal were analyed. By selecting the appropriate parameters, negative refraction effect in the low-frequency edge of second band could be produced. The analytical expressions of group velocity and transmission spectra were deduced, and the conditions of negative refraction in one-dimensional photonic crystal were given. The influence on its negative refraction properties by the incidence angle, refractive index ratio, dielectric layer thickness ratio and other parameters were analyzed(2) For two-dimensional square lattice and triangular lattice photonic crystal, the conditions (normalized frequency range and direction of wave) for negative refraction effect were determined by using plane wave expansion and the Equifrequency curve analysis method. The conditions were verified by using time-domain finite-difference method. The influence on the negative refraction effect by dielectric cylinder radius, refraction index and media shape were analyzed. The influence on negative refraction effect by the point defect of two-dimensional square lattice and triangular lattice photonic crystal also were analyzed.(3) As one of application examples of negative refraction effect, the photonic crys-tal-open cavity, which was formed by 30°wedge angle of the photonic crystal and air tank alternately, was analyzed. A closed zero optical-path was achieved in the photonic crystal-open cavity. The influence of several main parameters on resonance frequency and quality factor of the open cavity were analyzed, and the bio-sensors applications based on the open cavity were introduced. |
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