一维光子晶体中的电磁模密度

阐述了电磁模密度(EDOM)的概念及其在描述光辐射中的重要作用.推导了有限大小的均匀介质和一维光子晶体EDOM的解析表达式,计算出由λ₀/4薄片构成的一维光子晶体的EDOM,明显看出一维光子晶体中EDOM受光子带结构调制的现象;分析了在带边缘处EDOM有极大增强的现象,其值近似正比于周期数N的平方和两种介质折射率差的平方,并用数值计算结果证实了这一特点.     

镜像对称缓变准周期结构一维光子晶体的缺陷模

利用传输矩阵方法,研究了镜像对称缓变准周期结构一维光子晶体的缺陷模。结果表明,当镜像对称缓变准周期结构一维光子晶体的周期数增加时,禁带宽度逐渐展宽;引入缺陷后,出现缺陷模,缺陷模的波长随缺陷层厚度增加和缺陷层介质折射率的增大而向长波方向移动。     

介质光学厚度对一维光子晶体缺陷模的影响

利用传输矩阵法理论,研究介质光学厚度对一维光子晶体（AB）5（ACB）2（AB）5缺陷模的影响,结果表明：随着介质A、B或C的光学厚度按奇数倍、偶数倍增大时,光子晶体主禁带中的缺陷模均向禁带中心移动,出现缺陷模向禁带中心简并的趋势,且光学厚度按奇数倍增加时简并的趋势更明显,同时缺陷模移动速度以A介质光学厚度奇数倍增大时为最快;当介质A、B或C的光学厚度按奇或偶倍数增大到一定数值时,均出现对称分布于禁带中心两侧的新缺陷模,而且光学厚度按偶数倍增大时出现的新缺陷模要比偶数倍增大时的快。介质光学厚度对光子晶体缺陷模的影响规律,对光子晶体设计窄带多通道光学滤波器件、高灵敏度光学开关等具有积极的参考意义。     

一维多缺陷光子晶体的缺陷模

设计了一个多缺陷的一维光子晶体,并利用传输理论研究其透射谱.利用泰勒展式的一级近似,得到了缺陷模频率的解析表达式,进而得到紧束缚理论中的耦合因子.这些结论与实验结果或数值模拟相符合,可以很好地描述缺陷模的有关规律,对多通道滤波器的设计具有指导意义. 关键词： 光子晶体 缺陷模 紧束缚方法 耦合因子     

单负材料组成一维光子晶体双量子阱结构的共振模

通过传输矩阵方法, 计算模拟了两种单负材料组成一维光子晶体双量子阱结构的透射谱. 研究发现: 由于双量子阱结构双阱之间的相互耦合作用, 共振模发生双重劈裂, 共振峰之间的距离可以通过调节双阱之间的耦合强度控制, 共振模的品质因子可以通过调节外部障碍光子晶体的周期数控制. 并且, 共振模受入射角和光偏振模式的影响都比较小, 适合全方向滤波. 当考虑两种单负材料不同损耗的影响时, 研究结果表明, 电损耗对低频处的共振模影响大, 而磁损耗对高频和低频处的共振模影响都比较大.     

一维光子晶体掺杂缺陷模研究

用特征矩阵法计算了光波在包含多种掺杂缺陷的一维光子晶体中的传播规律,与不包含缺陷的结构相比较,在禁带中形成缺陷模。缺陷模的位置、数目和强度不仅和缺陷的产生方式有关,还和缺陷位置处的光学厚度及折射率的变化有关。当掺杂缺陷的位置呈等间距时,相应缺陷模也呈等间距排列。随着掺杂缺陷光学厚度的变化,缺陷模的位置、数目也随之变化。保持掺杂缺陷光学厚度不变,掺杂缺陷折射率的变化将会引起缺陷模强度的变化,并存在一个最大值。缺陷模的出现一般使带隙加宽,尤其是掺杂介质的折射率与周期介质的折射率差别较大时更加明显。掺杂空气介质时可使缺陷模的透射率近似为1。     

有限周期的一维光子晶体的透射率及其禁带

用传输矩阵方法得到了有限周期的一维光子晶体的复透射系数和透射率的解析表达式.根据这个结果,分析讨论了一维光子晶体的光子禁带产生的原因,讨论了光子禁带及透过带的特征,并用透射率讨论了λ₀/4片组成的有限个周期的一维光子晶体的光子带结构,得到了与用其它方法相同的结果.     

一维准周期光子晶体缺陷模特性研究

利用传输矩阵法,计算了含缺陷层的一维准周期光子晶体在入射角为0°和10°时的透射谱,并将其和对应的含缺陷层的周期光予晶体的透射谱进行了对比。结果表明：在上述入射角的情况下,当缺陷层介质的厚度为四分之一波片层的整数倍M时,通带中新增缺陷模的个数仍满足M-1的关系,但准周期光子晶体的透射谱散失了原来的左右对称性;当M取非整数时,中心通带顶部由原来的三峰状变成双峰状。     

含复折射率介质一维准周期光子晶体的透射特性

用Si和复折射率介质构成了(AB)N型一维准周期光子晶体,在考虑Si色散关系的基础上,利用传输矩阵法研究了其透射特性.数值计算表明其TE波的透射谱有如下特征:电磁波垂直入射时,在相对频率0～4的范围内存在4个等间距的尖锐的透射主峰,各主峰低频端相距0.148 (ω/ω0)处都有一透射副峰.入射角增加,主峰的透射率下降,副峰的透射率上升.周期数N增加,各主、副峰位置都有蓝移,但主峰透射率逐渐减小,而各副峰的半峰全宽度变小.当两介质厚度为定值时,从第一主峰到第四主峰,其透射率依次减小,两介质厚度增加时,各主峰的透射率下降.复折射率虚部增加时,各透射峰的位置保持不变,主峰的透射率变大,而副峰的透射率变小,反之亦然.     

一维光子晶体的基本周期结构及其禁带特征

本文采用光学导纳特征矩阵方法讨论了光波在一维分层介质的传播特性,分析了一维光子晶体的基本周期结构对光子禁带的特征的影响,指出了这种特性的应用.     

Electromagnetic modes in semi-infinite photonic crystals

In a real photonic crystal, there exist three modes: propagation mode, evanescence mode and surface mode. Using ideal modal, semi-infinite photonic crystals, we study their effects on the transmission spectrum of photonic crystals, respectively. Because there exists only one air–crystal interface in a semi-infinite photonic crystal, no multiple reflection occurs and no evanescent modes and backward-propagating modes exist in this structure. The effects of the evanescence modes are studied by comparing the transmission spectrum of a finite-thickness photonic crystal slab and that of a semi-infinite photonic crystal. In addition, the effects of the backward-propagating modes are investigated using a coated semi-infinite photonic crystal structure. Finally, we study the effects of the surface modes, and find that the transmission spectrum of a semi-infinite photonic crystal is strongly dependent on its termination.     

具有镜像对称结构的一维光子晶体的透射谱

计算了具有镜像对称性结构的一维光子晶体的透射谱.在光子晶体的禁带中得到了多个完全透射峰.用数学归纳法得到了简单的迭代关系式用以计算多个完全透射峰的频率.只要结构具有镜像对称性，中心透射峰总是存在，而其他透射峰则依赖于缺陷的位置和折射率.适当选择对称结构，可以得到一个近完全透射带. 关键词： 光子晶体 缺陷模 透射谱     

Omnidirectional reflection in one-dimensional ternary photonic crystals and photonic heterostructures

Designing dielectric systems to create omnidirectional band gaps (OBGs) is an attractive topic in the field of photonic band gap (PBG) structures. In this Letter, we propose a new approach to create OBGs by ternary photonic heterostructures (TPHs) composed of three kinds of materials with different refractive indices and obtain the formulae of the structures of TPHs, i.e., those of the thicknesses of materials and the number of sub-ternary photonic crystals. It may provide a powerful technique for designing the structures being able to produce OBGs by use of usual materials, lowcost materials, and materials with low refractive indices, etc.     

实现多共振模的一维异质结构光子晶体

用两种正折射率材料设计了一维光子晶体异质结构模型,并利用传输矩阵法对该光子晶体的透射谱进行了理论研究。结果发现:光通过光子晶体时,在较宽的禁带范围内出现透射率为100%的多条共振模,且共振模的数目与光子晶体结构周期数m相对应;当入射角一定时,共振模的位置可以通过介质的折射率、厚度来调制;当入射光入射角度增大时,多共振模出现整体蓝移,同时共振模宽度变窄。这些特性有望应用于多通道窄带滤波器的设计。     

Far infrared Faraday rotation effect in one-dimensional microcavity type magnetic photonic crystals

The far infrared transmittances and Faraday rotation effect in one-dimensional photonic crystals that contain magnetic microcavities are calculated with the transfer matrix method. The different stacking sequences of dielectric layers in the magnetic photonic crystal are considered in this paper, and the linewidths of transmission peaks and localised light of the photonic crystals are discussed. The enhancement of Faraday rotation is presented in the magnetic photonic crystals, and the largest rotation angle at the frequency of the transmission peak is 29 °mm⁻¹, which is larger than previous results.     

Properties of defect modes in one-dimensional photonic crystals containing two nonlinear defects

Transmission properties of one-dimensional photonic crystal with two nonlinear defects were investigated based on the nonlinear transfer matrix method. From the inspection of the optical bistabilities around different defect modes, it was found that the threshold of bistability for the bonding mode is always lower than that for the anti-bonding mode. When intensity of the incident wave increases bistability could happen at any wavelength larger than the resonance wavelength of the linear anti-bonding mode in the gap. The threshold of bistability increases initially with the wavelength, then decreases sharply in reaching the resonance wavelength of the linear bonding mode. The coupling behavior of the two defects was also discussed, and it was found that the threshold of bistability increases with the distance between the two defects. A flat spectrum similar to that formed in the photonic crystal molecules was obtained under certain incident intensity.     

Electromagnetic crystals in microstrip technology

Recently, new promising periodic structures called photonic crystals (PCs), or more appropriately electromagnetic crystal (ECs), for the microwave and millimetre wave range, have been considered for both microwave and photonic applications. Planar microstrip waveguides are very attractive in microwave engineering and several innovative designs have been proposed for them to expand the scope of application of the new PC concepts to the microwave domain. We review some of these microstrip EC structures looking at them as counterparts of their analogues in optical wavelengths. Moreover, very recent solutions that open new promising applications both in microwave and millimetre wave integrated circuits and antennas are presented.     

Frequency bands of negative refraction in finite one-dimensional photonic crystals

We have discussed theoretically the negative refraction in finite one-dimensional (1D) photonic crystals (PCs) composed of alternative layers with high index contrast. The frequency bands of negative refraction are obtained with the help of the photonic band structure, the group velocity and the power transmittance, which are all obtained in analytical expression. There shows negative transverse position shift at the endface when negative refraction occurs, which is analysed in detail.     

由单负材料组成的一维对称型光子晶体中的隧穿模

由电单负材料A和磁单负材料B构成了一维对称型光子晶体,数值计算表明其带隙中出现了一隧穿模. 材料层数增加,隧穿模宽度急剧变窄,而其位置不变.隧穿模的位置和宽度对入射角的变化都不太敏感. 材料的几何厚度减小,隧穿模的位置蓝移,而其宽度不变. μ_A, ε_B增加,隧穿模的位置红移,宽度减小. 利用隧穿模的以上特性可以实现对电磁波传播的动态调控.