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利用薄膜光学中的特征矩阵法,研究了缺陷层介质存在吸收(折射率含有虚部)时,远红外窄带滤光片随不同吸收系数的变化。结果表明,当n=2.2-0i变为2.2-0.03i时,滤光片始终有两个全向带隙的存在,带隙宽度和带隙率均逐渐减小(n=2.2-0i时,两个全向带隙宽度和带隙率分别为8.23~8.88μm,10.04~11.26μm,7.60%和11.46%;n=2.2-0.03i时,两个全向带隙宽度和带隙率分别为8.28~8.50μm,10.15~11.16μm,2.62%和9.48%)。当n=2.2-0.05i和2.2-0.1i时,滤光片都只存在一个全向带隙,带隙宽度和带隙率也同样逐渐减小(n=2.2-0.5i时,全向带隙宽度和带隙率分别为10.18~11.08μm和8.47%;n=2.2-0.1i时,全向带隙宽度和带隙率分别为10.47~10.72μm和2.36%)。当n=2.2-0.3i时,滤光片的全向带隙都消失了。同时,滤光片缺陷处的反射率逐渐增大,透射率和吸收率(含有吸收时)一直在减小直至接近0。本文的研究对远红外窄带滤光片的设计和实际应用提供了有价值的参考。
Using the characteristic matrix method in the thin film optics, the change of the far-infrared narrow-band filter with different absorption coefficients is studied when there is absorption in the defect layer medium (the refractive index contains the imaginary part). The results show that when n = 2.2-0i becomes 2.2-0.03i, there are always two omnidirectional bandgaps in the filter, and the bandgap width and bandgap rate decrease gradually (n = 2.2-0i, The two omnidirectional band gap widths and band gaps were 8.23-8.88μm, 10.04-1.26μm, 7.60% and 11.46%, respectively; for n = 2.2-0.03i, the two omnidirectional band gap widths and band gaps were 8.28-8.50 μm, 10.15-11.16 μm, 2.62% and 9.48%). When n = 2.2-0.05i and 2.2-0.1i, there is only one omnidirectional bandgap filter, the bandgap width and bandgap also decrease (n = 2.2-0.5i, omnidirectional band The gap width and the bandgap are 10.18-11.08μm and 8.47%, respectively. For n = 2.2-0.1i, the width and bandgap of omnidirectional band are 10.47-10.72μm and 2.36%, respectively. When n = 2.2-0.3i, the filter’s omnidirectional bandgap disappears. At the same time, the reflectance at the defect of the filter gradually increases, and the transmittance and absorbance (including absorption) decrease until it reaches zero. The research in this paper provides a valuable reference for the design and practical application of far-infrared narrow-band filters.