激光技术
激光技術
격광기술
LASER TECHNOLOGY
2014年
3期
325-329
,共5页
材料%光子晶体%TM波%反射系数%透射系数
材料%光子晶體%TM波%反射繫數%透射繫數
재료%광자정체%TM파%반사계수%투사계수
materials%photonic crystal%TM wave%reflection coefficient%transmission coefficient
为了得到1维光子晶体中TM波的传输公式,采用传输矩阵的方法和电磁波的边界条件,推导出TM波在介质层中的特征矩阵及其反射系数和透射系数公式。结果表明,用TE波反射系数和透射系数公式做代换的方法不能得到正确的TM波的反射系数和透射系数公式;对推导出TM波的反射系数和透射系数公式进行了分析,由TM波的反射系数和透射系数公式得出的光强透射率和反射率满足能量守恒;并且推出的TM波反射系数公式不仅能够反映反射波与入射波的数量关系,且能够反映反射波与入射波的位相关系。这些结果对研究1维光子晶体中TM波的传输性质是有帮助的。
為瞭得到1維光子晶體中TM波的傳輸公式,採用傳輸矩陣的方法和電磁波的邊界條件,推導齣TM波在介質層中的特徵矩陣及其反射繫數和透射繫數公式。結果錶明,用TE波反射繫數和透射繫數公式做代換的方法不能得到正確的TM波的反射繫數和透射繫數公式;對推導齣TM波的反射繫數和透射繫數公式進行瞭分析,由TM波的反射繫數和透射繫數公式得齣的光彊透射率和反射率滿足能量守恆;併且推齣的TM波反射繫數公式不僅能夠反映反射波與入射波的數量關繫,且能夠反映反射波與入射波的位相關繫。這些結果對研究1維光子晶體中TM波的傳輸性質是有幫助的。
위료득도1유광자정체중TM파적전수공식,채용전수구진적방법화전자파적변계조건,추도출TM파재개질층중적특정구진급기반사계수화투사계수공식。결과표명,용TE파반사계수화투사계수공식주대환적방법불능득도정학적TM파적반사계수화투사계수공식;대추도출TM파적반사계수화투사계수공식진행료분석,유TM파적반사계수화투사계수공식득출적광강투사솔화반사솔만족능량수항;병차추출적TM파반사계수공식불부능구반영반사파여입사파적수량관계,차능구반영반사파여입사파적위상관계。저사결과대연구1유광자정체중TM파적전수성질시유방조적。
In order to obtain transmission formula of TM wave in 1-D photonic crystal ,the characteristic matrix and the reflection and transmission coefficients of TM wave in dielectric layer were deduced based on the transfer matrix method and the boundary conditions of electromagnetic wave .The results show that the reflection and transmission coefficients of TM wave converted from the reflection and transmission coefficients of TE wave were not correct .And then, the deduced reflection and transmission coefficients of TM wave were analyzed .The transmittance and reflectance of TM wave intensity satisfies the law of energy conservation .Reflection coefficient formula of TM wave can not only reflect the relationship between the number of reflection wave and incident wave , but also reflect the phase relationship between the reflection wave and incident wave TM wave reflection coefficient formula can reflect the reflection wave and incident wave number and the phase relation .These results are helpful for study of transmission properties of TM wave in 1-D photonic crystal .