摘要
采用传输矩阵法理论,通过科学计算软件编程计算仿真,研究光子晶体(AB)mBCnB(BA)m的光传输特性,发现它的透射能带谱由带宽较宽的能带和分立的窄带周期性交替分布而成,可实现宽带和窄带通道双重光学滤波功能,而且排列周期数m,n可灵敏地调制双重滤波特性:光子晶体(AB)mBCnB(BA)m的频率ω/ω0奇数倍处分布着3条分立的精细窄透射峰,实现窄带通道滤波功能,频率ω/ω0偶数倍处出现带宽较宽的能带,实现宽带通道滤波功能;随着周期数m增大,频率ω/ω0奇数倍处保持3条分立透射峰不变,但带宽变窄,频率ω/ω0偶数倍处的通带带宽变窄;随着周期数n增大,频率ω/ω0奇数倍处的透射峰向奇数倍频率中心处靠拢,且保持很高的透射率,当n增大到一定数值时两侧新增透射率很高的窄透射峰,频率ω/ω0偶数倍处能带随n增大则出现分裂成多条通带现象,但频率ω/ω0偶数倍处中心的通带带宽最宽;当(AB)m和(BA)m的周期数m不等值变化时,频率ω/ω0奇数倍处的3条窄透射峰透射率快速下降,而频率ω/ω0偶数倍处能带带宽增大,出现成长为规整通带的趋势。研究结果为光子晶体设计宽带和窄带通道双重光学滤波器件提供理论指导。
The modulation of dual-channel filtering task by number of cycles in the photonic crystal as（AB）mBCnB（BA）mis studied by using the transfer matrix method.It is found that transmission spectrum is alternating by wide bandwidth and discrete narrow bandwidth;（AB）mBCnB（BA）mcan modulate dual-channel filtering by ＂m＂ and ＂n＂：there are three discrete narrow bandwidths in the position of odd frequency as ω/ω0,which can be filtering narrow bandwidth.Meanwhile,there is wide bandwidth in even frequency as ω/ω0,which can be filtering wide bandwidth.When the number of cycles ＂m＂ is increased,the number of transmission peaks in the odd frequency keeps as three,but becomes narrower;in the position of even frequency,the transmission peak will narrow down;when ＂n＂ is increased,the transmission peaks keep high transmittance but move to center,and the new transmission peaks appear late,in the position of even frequency,the spectral splitting,but the bandwidth is widest in the position of even frequency as ω/ω0.When the ＂m＂ and ＂n＂ are increased by different growth rates,transmittance of the transmission peaks in the odd frequency is rapidly falling,bandwidth is wider in the position of even frequency,and the spectrum is tending towards perfect crystal.The rules can offer theoretical basis for designing dual-channel filter in the in the photonic crystal.
出处
《河池学院学报》
2017年第5期39-43,共5页
Journal of Hechi University
基金
广西高校科学技术研究项目(KY2015YB258
KY2016LX287)
国家级
广西区级大学生创新训练计划项目(201710605012
201710605065
201710605066)
关键词
双重滤波
光子晶体
周期数
传输矩阵法
dual - channel filter
photonic crystal
number of cycles
the transfer matrix method
