A simple model for approximate bandgap structure calculation of all-solid photonic bandgap fibre based on an array of rings

A simple model for approximate bandgap structure calculation of all-solid photonic bandgap fibre based on an array of rings is proposed. In this model calculated are only the potential modes of a unit cell, which is a high-index ring in the low-index background for this fibre, rather than the whole cladding periodic structure based on Bloch's theorem to find the bandgap. Its accuracy is proved by comparing its results with the results obtained by using the accurate full-vector plane-wave method. High speed in computation is its great advantage over the other exact methods, because it only needs to find the roots of one-dimensional analytical expressions. And the results of this model, mode plots, offer an ideal environment to explore the basic properties of photonic bandgap clearly.     

基于高折射率断环结构的全固光子带隙光纤的设计

设计了基于断环结构的全固光子带隙光纤,其背景材料为熔石英而断环结构由若干掺杂的高折射率介质柱构成.基于平面波展开法计算得到的态密度图和Bloch模场分布表明,该种光纤中的一个高阶带隙可以得到调节并被极大展宽,带隙调节的基本原理是断环可以同时控制包层介质柱的线偏振模式的角向和径向模式阶数.研究表明,断环中的介质柱数目决定了受影响最小的一组线偏振模式的最高角向阶数,而带隙宽度受介质柱尺寸影响很大.这一宽的高阶带隙可以用来设计带隙中心分别在800和1550 nm、带宽分别为488和944 nm的全固光子带隙光纤 关键词： 全固光子带隙光纤 光子带隙 光纤设计 平面波展开法     

混合准周期异质结构的带隙补偿与展宽

基于一维光子晶体异质结构的多帯隙交叠补偿思想,提出了一种新颖的混合准周期级联结构,用于扩大全方位光子带隙.该全方位反射器结构由Fibonacci准周期结构和Thue-Morse准周期结构级联构成,研究表明,相比单种准周期结构,其全方位光子带隙宽度有显著提高.系统研究了结构参数(如周期数、阶数、介质折射率和厚度)对该结构光子带隙的影响,通过与周期结构带隙特性的比较,分析了准周期结构易于实现多带隙交叠的原因,为更复杂带隙结构的补偿和展宽奠定了设计基础.     

1550nm低损耗单模全固态光子带隙光纤研究

全固态光子带隙光纤由于其独特的带隙和色散特性以及易于和传统光纤熔接的优势,引起了国内外研究人员的广泛关注.本文采用等离子体化学气相沉积工艺结合堆叠拉制法制备了全固态光子带隙光纤,并运用频域有限差分法模拟了其损耗和色散特性.该光纤1550 nm处有较低损耗且单模传输,计算得到1550 nm处的有效模场面积和色散分别为191.81μm2和16.418 ps/(km·nm),在测试范围1500—1650 nm内损耗小于0.15 dB/m.结合实验结果,对光纤参数做了进一步模拟优化.     

人工带隙材料的拓扑性质

近年来,人工带隙材料(如声子晶体和光子晶体)由于其优异的性能,已成为新一代智能材料的研究焦点.另一方面,材料拓扑学由凝聚态物理领域逐渐延伸到其他粒子或准粒子系统,而研究人工带隙材料的拓扑性质更是受到人们的广泛关注,其特有的鲁棒边界态,具有缺陷免疫、背散射抑制和自旋轨道锁定的传输等特性,潜在应用前景巨大.本文简要介绍拓扑材料特有的鲁棒边界态的物理图像及其物理意义,并列举诸如光/声量子霍尔效应、量子自旋霍尔效应、Floquet拓扑绝缘体等相关工作;利用Dirac方程,从原理上分析光/声拓扑性质的由来;最后对相关领域的发展方向和应用前景进行了相应的讨论.     

圆柱形光子晶体中电磁波的模式和带隙

利用电磁波在一维圆柱光子晶体中径向受限的条件,推导出电磁波在一维圆柱光子晶体中各个模式满足的关系式。研究了各个模式的特征。计算出TE波和TM波各模式的禁带随模式量子数、圆柱半径以及入射角的变化规律。得出了一些不同于一维非受限光子晶体带隙的新结构。     

Investigation of thermal influence on the bandgap properties of liquid-crystal photonic crystal fibers

We have analyzed the thermal influence on the bandgap properties of liquid-crystal photonic crystal fibers. The bandgap parameters which affect the transmission conditions have been investigated. It is observed that the photonic bandgap can be thermally tuned, i.e. the red or blue shift of the bandgap results from the temperature dependence of the refractive index of the liquid crystal. For the planar alignment of liquid-crystal filled cladding, the ordinary refractive index plays a major role in determining the bandgap properties; the extraordinary refractive index comes into influence while the ordinary refractive index is relatively constant of temperature. The analyses agree well with the experiments results.     

Photonic bandgap via nonlinear modulation assisted by spontaneously generated coherence

A four-level double-ladder atomic system with two upper states coupled to the excited state by a standing-wave trigger field is explored to generate photonic bandgap (PBG) structure. With the assistance of spontaneously generated coherence (SGC) from the two decay pathways, we can obtain single or double fully developed PBG when the trigger field is far away from resonance or resonant. While in the absence of SGC, the atomic medium becomes strong absorptive to the probe field, and therefore the resulting PBGs are severely malformed or even cannot be opened up. Numerical results show that the PBG structure is originated from the third-order cross Kerr nonlinear modulation between the probe and trigger fields. This mechanism differs from the recent schemes based on linear modulation.     

Geometrical freedom for constructing variable size photonic bandgap structures

In order to study the design flexibility of photonic bandgap structures, we investigate different examples of 1D traditional Bragg layers and 2D photonic crystals. We have also considered a simple case of 3D woodpile structures. It turns out that in systems with large gaps, the evanescent waves penetrate into the bulk only distances comparable to one lattice constant. Therefore confinement of light can also be achieved without long range order, which leads to the introduction of novel photonic bandgap designs. Adhering to some constraints, the changes in the photonic bandgap in disordered structures are negligible. The important quantity to characterize the presence or absence of modes is the local photonic density of states, however bandgap phenomena in size and position disordered arrangements can also be verified with plane wave supercell calculations as well as finite difference time domain techniques.     

Near-infrared Raman spectroscopy using hollow-core photonic bandgap fibers

We report a NIR Raman spectroscopy system incorporating hollow-core photonic bandgap fibers (HC-PBFs) in both the excitation and collection paths. Raman excitation was achieved at NIR laser wavelength of 785 nm. We demonstrate that using HC-PBFs, Raman spectroscopy can be performed without the use of an additional longpass filter on the collection side. A narrow bandpass filter on the excitation side is also not required. These results provide a framework where HC-PBF based Raman probes can be developed and used in space restricted biomedical and sensing applications.     

直接带隙Ge$lt;sub$gt;1-$lt;em$gt;x$lt;/em$gt;$lt;/sub$gt;Sn$lt;sub$gt;$lt;em$gt;x$lt;/em$gt;$lt;/sub$gt;本征载流子浓度研究

通过合金化改性技术, Ge可由间接带隙半导体转变为直接带隙半导体. 改性后的Ge半导体可同时应用于光子器件和电子器件, 极具发展潜力. 基于直接带隙Ge_1-xSn_x半导体合金8带Kronig-Penny模型, 重点研究了其导带有效状态密度、价带有效状态密度及本征载流子浓度, 旨在为直接带隙改性Ge半导体物理的理解及相关器件的研究设计提供有价值的参考. 研究结果表明: 直接带隙Ge_1-xSn_x合金导带有效状态密度随着Sn组分x的增加而明显减小, 价带有效状态密度几乎不随Sn组分变化. 与体Ge半导体相比, 直接带隙Ge_1-xSn_x合金导带有效状态密度、价带有效状态密度分别低两个和一个数量级; 直接带隙Ge_1-xSn_x合金本征载流子浓度随着Sn组分的增加而增加, 比体Ge半导体高一个数量级以上. 关键词： 1-xSn_x')" href="#">Ge_1-xSn_x 直接带隙 本征载流子浓度     

一维和二维系统中电子禁带与光子禁带的数学等价特性

论证了在不针对特殊的结构和未做任何近似的情况下,一维和二维系统中的电子的Schrdinger方程和沿垂直方向传播的S极化光子的Maxwell方程具有完全相同的数学形式,即二者在数学上是完全等价的,这自然解释了到目前为止发现的存在于电子晶体的电子禁带和光子晶体的光子禁带之间的许多相似性.这种等价性还表明,在电子晶体中出现的许多现象可以推广到光子晶体中;研究电子晶体的理论和方法也可以应用于光子晶体的研究中去.     

利用复式晶胞实现二维正方形布拉菲格子光子晶体的完全带隙

利用较为简单的正方形布拉菲格子，采用复式晶胞实现了简单晶胞所不能实现的二维光子晶体的完全带隙，并用优化算法对复式晶胞的结构参数进行了讨论，得到了具有完全的、带隙宽度尽量大的二维光子带隙材料结构- 关键词： 光子晶体 正方形布拉菲格子 复式晶胞 二维完全光子带隙     

3D photonic crystals based on macroporous silicon: Towards a large complete photonic bandgap

Recently, a new three-dimensional photonic crystal consisting of two interpenetrating hexagonal pore sets was introduced. Here, we investigate the influence of possible experimental errors including shift, tilt and rotation of one pore set on the size of the bandgap theoretically and determine fabrication tolerances. A structure is fabricated in silicon using photo-electrochemical etching and subsequent focused ion beam milling. The change of the cross-section of the milled pores with pore depth is investigated and reflection measurements along different directions are performed indicating the low frequency edge of the photonic bandgap.     

二维圆柱形光子晶体的完全禁带研究

用平面波展开法研究了二维圆柱形光子晶体的完全禁带与填充比、介电常数比之间的关系. 研究发现,并非介电常数比越大,完全禁带宽度就越大,而是有一个峰值. 关键词： 二维光子晶体 完全禁带 平面波展开法     

宽绝对禁带的一维磁性光子晶体结构

提出了一种具有宽绝对禁带的一维磁性光子晶体结构,该结构由相同的折射率和物理厚度以及不同的波阻抗的两种磁性材料交替组合而成.通过传输矩阵法分析可得,相比于非磁性光子晶体,该光子晶体的禁带对入射角和偏振都不敏感,从而具有更宽的绝对禁带.合适地调节两种磁性材料的参数,增加两者波阻抗的差值,该光子晶体的绝对禁带宽度也相应地增加;调节两种磁性材料的物理厚度,其绝对禁带中心也会随之调整;最后,将两个满足上述条件的一维磁性光子晶体组成异质结构,其第一禁带宽度与禁带中心之间的比值可达到1.41以上.     

一种电磁带隙结构的快速分析方法

 使用直接传输方法分析有限周期Mushroom-like 电磁带隙结构的表面波带隙,与无限周期的电磁带隙结构表面波色散能带图相比,该方法能大大缩短分析时间。将电磁带隙结构放置于波导底面,通过计算波导的传输系数,分析了不同波导高度和电磁带隙结构周期数对带隙范围的影响。加工了Mushroom-like电磁带隙结构样品,并使用一对探针耦合的方法测量了电磁带隙结构的TE和TM表面波带隙,实验结果表明使用直接传输方法确定的表面波带隙与测量数据吻合良好,证明了此方法的有效性。     

Optimization of photonic bandgap fiber long period grating refractive-index sensors

Long period gratings in low-index contrast solid-core photonic bandgap fibers are a promising platform for fiber-based fluid refractive index sensing with very low detection limits. We provide a comprehensive investigation of the possibilities for refractive index sensing using that principle in a commercial photonic crystal fiber filled with a fluid: using an acoustic grating, we map out the cladding bands, and use this data to optimize a long period grating’s sensitivity. We then implement the optimized long period grating, again using an acoustic grating, and directly measure its sensitivity to refractive index. We demonstrate a sensitivity of 17,900 nm/RIU (6.94 nm/°C) which corresponds to a smallest detectable index change of the fluid of 8.4 × 10⁻⁶.     

Photonic band structure of oxidized macroporous silicon

We investigated theoretically the effect of surface silicon oxide layer on the photonic band structure of a macroporous silicon photonic crystal. Using the plain wave method we have shown that the bandgap in oxidized structure is shifted to the higher frequencies relative to non-oxidized case. We also demonstrate that comparatively wide absolute bandgap can be obtained for low air filling fractions by using thick SiO₂ layer. As an example of possible application of such three-component systems, we have shown the concept of a selector of electromagnetic modes based on our calculations.     

全固态光子带隙光纤第1带隙内模场分布特性

利用多极法计算了全固态光子带隙光纤第1带隙内不同波长处的基模模场分布,得到2维归一化光强分布特性.由于该光纤具有三角形(C<,6v>)的对称结构,影响了光纤内的模场分布,为此计算了该结构两个具有代表性的方向上的模场分布,分析了带隙内两个不同的结构方向上的模场分布特性.结果表明.在长波长区域,两个方向上的模场半径并不相等,但都随波长的增加而减小,其变化规律与全内反射导光的光纤不同.