Abstract In the present study, the transmission properties of one-dimensional extrinsic aperiodic/periodic photonic crystal n-GaAs is investigated by using the external magnetic field for electromagnetic waves at an oblique angle. The transfer matrix method is used to tackle the physical problem, and Gaussian distribution is employed to develop randomness in the thickness of layers. The effects of the magnetic field, the standard deviation of the Gaussian distribution, angle of incidence, and permeability are analyzed for the photonic bandgaps and also validated in the case of periodic structures. The numerical results are verified with the envelope of the histogram in the case of disorder structures. The study reveals that the photonic band gaps are red-shifted by increasing the magnetic field, and the wider PBGs with negligible transmission peaks have appeared in the case of the randomly magnetized extrinsic photonic crystal. The present model of photonic crystals can be used technically in various semiconductor photonic applications like the design of tunable optical reflector and multi-channel filter.

中文翻译：

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基于外在半导体的高斯随机多层中的光子透射光谱

摘要 在本研究中，利用外磁场对电磁波以斜角进行研究，研究了一维非本征非周期/周期光子晶体 n-GaAs 的传输特性。传输矩阵方法用于解决物理问题，并采用高斯分布来开发层厚的随机性。对光子带隙的磁场、高斯分布的标准偏差、入射角和磁导率的影响进行了分析，并在周期性结构的情况下进行了验证。在无序结构的情况下，通过直方图的包络来验证数值结果。研究表明，通过增加磁场，光子带隙会发生红移，并且在随机磁化的外在光子晶体的情况下出现了具有可忽略的透射峰的更宽的PBG。目前的光子晶体模型在技术上可用于各种半导体光子应用，如可调光反射器和多通道滤波器的设计。