Instituto de Investigación en Ciencias Básicas y Aplicadas, Universidad Autónoma del Estado de Morelos, Av. Universidad No. 1001 Col. Chamilpa, 62209, Cuernavaca Morelos, Mexico.
Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College, SW7 2AZ, London, UK.
Sci Rep. 2018 Jan 19;8(1):1193. doi: 10.1038/s41598-018-19613-6.
Photonic crystals (PCs) are built to control the propagation of light within their structure. These can be used for an assortment of applications where custom designed devices are of interest. Among them, one-dimensional PCs can be produced to achieve the reflection of specific and broad wavelength ranges. However, their design and fabrication are challenging due to the diversity of periodic arrangement and layer configuration that each different PC needs. In this study, we present a framework to design high reflecting PCs for any desired wavelength range. Our method combines three stochastic optimization algorithms (Random Search, Particle Swarm Optimization and Simulated Annealing) along with a reduced space-search methodology to obtain a custom and optimized PC configuration. The optimization procedure is evaluated through theoretical reflectance spectra calculated by using the Equispaced Thickness Method, which improves the simulations due to the consideration of incoherent light transmission. We prove the viability of our procedure by fabricating different reflecting PCs made of porous silicon and obtain good agreement between experiment and theory using a merit function. With this methodology, diverse reflecting PCs can be designed for any applications and fabricated with different materials.
光子晶体（PCs）的构建是为了控制光在其结构内的传播。这些可以用于各种应用，其中定制设计的设备很感兴趣。其中，一维 PCs 可以用来实现特定和宽波长范围的反射。然而，由于每个不同的 PC 需要不同的周期性排列和层结构，因此它们的设计和制造具有挑战性。在这项研究中，我们提出了一种设计任意所需波长范围的高反射 PC 的框架。我们的方法结合了三种随机优化算法（随机搜索、粒子群优化和模拟退火）以及一种减少空间搜索的方法，以获得定制和优化的 PC 配置。优化过程通过使用等间隔厚度法计算的理论反射率谱进行评估，由于考虑了非相干光传输，因此提高了模拟的准确性。我们通过制造不同的多孔硅反射 PC 来证明我们的方法的可行性，并使用优值函数获得了实验和理论之间的良好一致性。通过这种方法，可以设计用于任何应用的各种反射 PC，并使用不同的材料进行制造。
