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利用传输矩阵法研究了光在全介质双腔法布里-珀罗(F-P)结构中的传输,得到了透射率的一般表达式。能在禁带中出现共振模的双腔F-P结构共有12种组合方式,并且要求两腔之间的介质层数必须小于其外侧的介质总层数。当微腔的光学厚度是λ0/4的奇数倍时,其两端接触的首层介质必须是异种介质;而当光学厚度是λ0/4的偶数倍时则必须是同种介质。当两腔长度一定时,共振模的位置主要取决于两腔之间的介质层数,而谱线宽度则主要取决于两腔外侧的介质层数。当双腔F-P结构呈左右对称时共振模的透射率等于1。
The transfer matrix method is used to study the transmission of light in the all-dielectric dual-cavity Fabry-Perot (F-P) structure. The general expression of transmittance is obtained. There are 12 combinations of dual-cavity F-P modes that can resonate in the forbidden band and require that the number of dielectric layers between the two chambers must be less than the total number of dielectric layers on the outside. When the microcavity has an optical thickness that is an odd multiple of [lambda] 0/4, the first layer of the medium in contact with both ends must be a heterogeneous medium and the same medium must be the same when the optical thickness is an even multiple of [lambda] 0/4. When the length of the two cavities is constant, the position of the resonant mode depends mainly on the number of dielectric layers between the two cavities, whereas the width of the spectral lines depends mainly on the number of dielectric layers outside the two cavities. The transmissivity of the resonant mode is equal to 1 when the double-cavity F-P structure is left-right symmetrical.