中文摘要：

利用传输矩阵法研究了温度对一维超导光子晶体带隙的影响.计算中同时考虑到材料的热光效应和热膨胀效应.结果表明,低频带隙、第一带隙和第二带隙的带隙宽度均随着温度的升高而降低.各带隙边带随着温度的升高均向低频方向偏移,但各带隙的边带对温度变化的敏感程度各不相同.与不考虑热效应时的带隙情况相比较,考虑材料的热效应后,各带隙的边带均向低频方向偏移.进一步的研究表明,在所研究的温度变化范围内,热光效应对光子晶体带隙结构有较明显的影响,而热膨胀效应对光子晶体带隙的影响相对较小.

英文摘要：

By using transfer matrix method, the temperature dependence of the photonic band structure in a one-dimensional superconducting photonic crystal is studied by simultaneously considering thermal expansion effect and thermal - optical effect. It is shown that the band gap width of the low-frequency band gap, the first and sec- ond band gaps narrows with the increases of temperature. The starting wavelength and the cut-off wavelength of the band gaps all shift to lower frequency with the increase of the temperature, but the influence of temperature on the bandage is different for the three band gaps. The photonic band structure of photonic crystals with thermal effects and without thermal effects is also calculated and compared. All the bandage of the band gaps all shift to lower frequency when the thermal effects are considered. It is also found that the thermal - optical effect have a visible influence on the photonic band gap structure in our calculated temperature range and the influence of the thermal expansion effect on the photonic band structure is not significant.