论文标题
大型非周期性耗散多层系统的光学性质的稳定计算
Stable Calculation of Optical Properties of Large Non-Periodic Dissipative Multilayered Systems
论文作者
论文摘要
在吸收存在下，大型非周期多多层系统的转移矩阵的计算可能变得不稳定。我们讨论了这种不稳定性的起源，并探索了两种方法来克服它：使用总矩阵同时解决所有接口的所有字段，并在周期性重复系统的Bloch样模式中扩展。我们采用两种方法来获得由纳米结构的多孔硅（PS）组成的多层chi骨结构的反射光谱。两种方法都会产生可靠且数值稳定的结果。前者允许在所有层内进行分析，而后者在计算上更有效，从而设计了新结构及其参数的优化。我们比较了从红外线到紫外线的宽光谱范围内的数值和实验结果。
The calculation of the transfer matrix for a large non-periodic multilayered system may become unstable in the presence of absorption. We discuss the origin of this instability and we explore two methods to overcome it: the use of a total matrix to solve for all the fields at all the interfaces simultaneously and an expansion in the Bloch-like modes of a periodic artificially repeated system. We apply both methods to obtain the reflectance spectra of multilayered chirped structures composed of nanostructured porous silicon (PS). Both methods yield reliable and numerically stable results. The former allows an analysis of the field within all layers while the latter is much more efficient computationally, allowing the design of novel structures and the optimization of their parameters. We compare numerical and experimental results across a wide spectral range from the infrared to the ultraviolet.
