激光与红外
激光與紅外
격광여홍외
LASER & INFRARED
2014年
8期
913-916
,共4页
正弦型函数光子晶体%介质离散化%传输矩阵法%禁带结构
正絃型函數光子晶體%介質離散化%傳輸矩陣法%禁帶結構
정현형함수광자정체%개질리산화%전수구진법%금대결구
sine function photonic crystal%medium discretization%transfer matrix method%band-gap structure
对折射率按正弦规律变化的介质进行离散化处理，采用传输矩阵法计算了一维正弦型函数光子晶体的透射率，分析了各层介质的折射率峰值对带隙结构的影响。结果表明，随着高折射率介质的峰值折射率增大，主禁带增宽且红移；随着低折射率介质的峰值折射率增大，主禁带变窄且红移；当高低折射率介质都是正弦型函数介质时，与常规光子晶体相比，平均折射率之差增大时，主禁带增宽，反之主禁带变窄。这一结果对光子晶体的设计具有一定的指导意义。
對摺射率按正絃規律變化的介質進行離散化處理，採用傳輸矩陣法計算瞭一維正絃型函數光子晶體的透射率，分析瞭各層介質的摺射率峰值對帶隙結構的影響。結果錶明，隨著高摺射率介質的峰值摺射率增大，主禁帶增寬且紅移；隨著低摺射率介質的峰值摺射率增大，主禁帶變窄且紅移；噹高低摺射率介質都是正絃型函數介質時，與常規光子晶體相比，平均摺射率之差增大時，主禁帶增寬，反之主禁帶變窄。這一結果對光子晶體的設計具有一定的指導意義。
대절사솔안정현규률변화적개질진행리산화처리，채용전수구진법계산료일유정현형함수광자정체적투사솔，분석료각층개질적절사솔봉치대대극결구적영향。결과표명，수착고절사솔개질적봉치절사솔증대，주금대증관차홍이；수착저절사솔개질적봉치절사솔증대，주금대변착차홍이；당고저절사솔개질도시정현형함수개질시，여상규광자정체상비，평균절사솔지차증대시，주금대증관，반지주금대변착。저일결과대광자정체적설계구유일정적지도의의。
The medium that its refractive index changes with the sine function was discretized,the transmissivity of one-dimensional sine function photonic crystals was calculated by transfer matrix method,and then the effect of peak refractive index on band-gap structure was analyzed.The results show that the main forbidden band is broadened and red-shifted with the increment of the peak refractive of high refractive index medium.The main forbidden band is nar-rower and red-shifted with the increment of the peak refractive of low refractive index medium.Compared with the con-ventional photonic crystals,the main forbidden band will be broadened if the averaged refractive index difference in-creases when the high and low refractive index mediums are all sine function materials.The main forbidden band will be narrower vice versa.The results have a certain reference value for the design of photonic crystal.
