Bending Efficiency of Bent Multiple-Slot Waveguides

The bending efficiency of three-dimensional bent multiple-slot waveguides is studied by applying a combined method of effective-index and modified transfer-matrix methods. The effects of asymmetric structure, asymmetric slots, and asymmetric middle strips on the bending efficiency are investigated. We show that the bending efficiency can be improved by the use of asymmetric structures and asymmetric middle strips. The bending efficiency of different slot waveguides （up to quintuple-slot structure） is compared. It is revealed that although the single-slot waveguide in general provides the lowest bending loss for the same waveguide parameters, it is possible that the multiple-slot waveguide can present a lower bending loss than the single-slot one.     

Eliminating the birefringence in silicon-on-insulator ridge waveguides by use of cladding stress

We propose and demonstrate the use of the cladding stress-induced photoelastic effect to eliminate modal birefringence in silicon-on-insulator (SOI) ridge waveguides. Birefringence-free operation was achieved for waveguides with otherwise large birefringence by use of properly chosen thickness and stress of the upper cladding layer. With the stress levels typically found in cladding materials such as SiO2, the birefringence modification range can be as large as 10(-3). In arrayed waveguide grating demultiplexers that were fabricated in a SOI platform, we demonstrated the reduction of the birefringence from 1.2 x 10(-3) (without the upper cladding) to 4.5 x 10(-5) when a 0.8-microm oxide upper cladding with a stress of -320 MPa (compressive) was used. Because the index changes induced by the stress are orders of magnitude smaller than the waveguide core-cladding index contrast, the associated mode mismatch loss is negligible.     

Phase-matched second-harmonic generation in hybrid polymer-LN waveguides

Here we propose a hybrid polymer-LN waveguide for achieving phase-matched second-harmonic generation (SHG). From the aspect of super-mode theory, the geometric parameters of the hybrid semi-nonlinear waveguide were optimized to utilize both symmetric (even) and antisymmetric (odd) modes of the pump and SHG waves so as to facilitate phase matching with large modal overlap. Phase matching between a fundamental even (TE₀₀-like) mode at 1320 nm and a fundamental odd (TE₀₁-like) mode at 660 nm was found with a calculated modal overlap integral of 0.299, while utilizing the largest nonlinear coefficient d₃₃, and achieving an efficient calculated normalized conversion efficiency of 148% W^-1·cm^-2. Considering the fabrication feasibility of such hybrid waveguide with features including etchless, large dimension, and low structural sensitivity, we believe our findings would provide a useful reference for future on-chip efficient nonlinear conversion devices.     

Modelling of finite-size grating waveguide filters on the basis of a free-space diffraction approach

The field reflection coefficientR of a high strength and short length waveguide grating section is obtained by resorting to a free-space diffraction approach whereby the waveguide grating is excited by means of a virtual high index prism. The effective index of the guided mode, the coupling coefficient between contradirectionally propagating modes of the grating waveguide as well as the modal field are first obtained in the case of an infinite grating by interpreting the results given by an exact diffraction solution by means of a three-wave coupled mode formalism. These results are then introduced in the coupled wave analysis of the structure of finite extent to provide the field at the entrance of the waveguide grating section where the usual overlap integral with the incident field delivers the reflection coefficient. We neglect only the result of radiation mode propagation. This assumption can be made when the grating section is longer than the propagating length of all the leaky modes.     

Modelling of finite-size grating waveguide filters on the basis of a free-space diffraction approach

The field reflection coefficient R of a high strength and short length waveguide grating section is obtained by resorting to a free-space diffraction approach whereby the waveguide grating is excited by means of a virtual high index prism. The effective index of the guided mode, the coupling coefficient between contradirectionally propagating modes of the grating waveguide as well as the modal field are first obtained in the case of an infinite grating by interpreting the results given by an exact diffraction solution by means of a three-wave coupled mode formalism. These results are then introduced in the coupled wave analysis of the structure of finite extent to provide the field at the entrance of the waveguide grating section where the usual overlap integral with the incident field delivers the reflection coefficient. We neglect only the result of radiation mode propagation. This assumption can be made when the grating section is longer than the propagating length of all the leaky modes.     

Computing Eigen value equation and modal dispersion characteristics of an elliptical Bragg waveguide

Using the method of separation of variables in the elliptical coordinate system, a recursive formula for the electromagnetic fields in a new type of Bragg waveguide having elliptical core cross section with multilayered cladding is derived. The eigen equation is written in the form of Mathieu and the modified Mathieu functions and a dispersion relation is obtained for various modes supported by the proposed Bragg waveguide. The cutoff frequencies for several lower order even-odd modes have been calculated and their propagation characteristics are plotted. The results show that the dispersion curves are discontinuous and modes can exist only in particular wavelength bands. The effects of elliptical eccentricity on the mode cutoff values and mode transmission are addressed. Finally, the modal birefringence in the said waveguide is also estimated.     

硅基二氧化硅波导和SOI脊型波导应力双折射研究

采用有限元方法分析了硅基二氧化硅波导和SOI（Silicon on Insulator）脊型波导内部残留热应力引起的双折射.对于硅基二氧化硅波导,应力双折射系数的数量级为10－4,对于上包层为空气的SOI脊型波导,该系数的数量级为10－5,对于上包层为SiO2的SOI脊型波导,该系数的数量级为10－3,可见在硅基二氧化硅波导和上包层为SiO2的SOI脊型波导中产生了大的应力双折射,而在上包层为空气的SOI脊型波导中应力双折射较小.     

Mode analysis of realistic optical waveguide structures and microstructured holey fibers by modal field evolution

In this article, we describe a useful technique for calculating modes of practical optical waveguides having two-dimensional arbitrary transverse refractive index profile. The method uses a finite difference platform for evaluating Helmholtz's equation in scalar and semivectorial forms through a field evolution algorithm. The method is straightforward, easy to handle and does not involve any complex analysis or matrix formulation. We tested the accuracy of our analysis approach by applying it on a large number of realistic waveguide problems having known results or results available in the literature. The formulation has facilitated us to study the modal properties, viz., field distribution, birefringence, dispersion and mode effective area, of a variety of practical two-dimensional structures namely, planar structure, coupler, semiconductor optical waveguides, optical fibers and arbitrary profile microstructured fibers which are uniquely important in photonics and guided-wave devices. The algorithm will therefore be very useful in designing and studying any arbitrary-structure waveguides, and to explore new geometry and properties.     

Photonic crystal waveguides utilizing a modulated lattice structure

We experimentally demonstrate a new class of optical waveguide consisting of a-Si/SiO(2) autocloned photonic crystals with modulated lattice structure. The waveguide utilizes the macroscopic form birefringence of photonic crystals and confines light by the difference in the effective refractive index. A monopole modal field with spot diameters of 6.9 micromx6.5 microm was observed at a wavelength of 1.55 microm. The propagation loss of the waveguide at the wavelength was found to be ~4.2 dB/mm at most.     

隔行分层填充的太赫兹超高双折射多孔光纤

本文提出了一种对普通三角晶格多孔光纤隔行分层填充匹配材料, 实现超高模式双折射的方法. 首先, 采用全矢量有限元法对多孔度为43.08%的三角晶格多孔光纤的传输特性进行了详细研究. 随后, 为增强结构非对称性对纤芯空气孔隔行填充折射率为1.4的液体, 发现光纤的模式双折射显著提高, 在峰值处(1.1 THz)由填充前的1.05×10^-3增大到1.36×10^-2; x, y两偏振模式基模的吸收损耗系数分别由0.16 dB/cm增大到0.25 dB/cm和0.28 dB/cm; 光纤的工作带宽由1.1 THz增大到1.9 THz. 研究发现通过增大填充材料的折射率能够显著提高光纤的模式双折射; 当n=2, f=2.2 THz时, 光纤能够达到8.03×10^-2的超高模式双折射. 进一步, 采用隔行分层填充的方式, 在不同层填充不同折射率的液体, 实现折射率的梯度分布, 从而增强光纤对导模的限制能力. 结果显示, 采用该填充方法, 光纤的模式双折射在工作频段内没有峰值, 呈现单调递增的趋势. 当f=2.2 THz时, 模式双折射达到7.19×10^-2. 该设计不仅实现了超高的模式双折射, 同时还具备可调谐的特性, 对实际应用具有重要意义.     

Birefringence study of photonic crystal fibers by using the full-vectorial finite element method

Modal solutions of photonic crystal fibers with equal and unequal circular air holes in a hexagonal matrix are presented, by using a rigorous full-vectorial finite element-based approach. The effective indices, mode field profiles, spot-sizes, modal hybridness, modal birefringence and group velocity dispersion values have been determined and presented. The effects of the pitch-distance, hole diameter, structural asymmetry, air hole arrangement and the operating wavelength on the modal birefringence are also reported. It is shown that a significant value of birefringence can be achieved by using only circular air holes, which would be easy to fabricate, and by operating it close to its modal cutoff. PACS 42.81.Qb; 42.81.Gs; 42.25.Bs; 31.15.Pf     

基于监测波峰绝对积分的双折射光子晶体光纤环镜轴向应变传感器研究

理论推导了双折射光纤环镜波长变化与轴向应变的公式,研究表明：双折射光子晶体光纤环镜轴向应变灵敏度比传统双折射光纤环镜大为减小。通过监测双折射光子晶体光纤环镜波长的变化,来实现轴向应变的测量就变得较为困难;且输出干涉光谱局部呈凹凸不平,波长监测容易导致数据测量误差。实验监测双折射光子晶体光纤环镜应变光谱,对应变光谱分析发现：随着应变增加,监测波峰下的绝对积分呈现减小的趋势。进一步精确计算分析发现：监测波峰下的绝对积分与应变成线性关系。基于此,提出了通过监测波峰下的绝对积分的变化,来实现轴向应变的测量。波峰下的绝对积分是表征各波长光强的综合性能指标,通过监测波峰下的绝对积分的变化,来实现轴向应变的测量,不仅可以克服双折射光子晶体光纤环镜监测波长变化的困难,而且还可以克服波长监测局部寻优导致的测量误差。     

Analytical solution based on the wavenumber integration method for the acoustic field in a Pekeris waveguide

An exact solution based on the wavenumber integration method is proposed and implemented in a numerical model for the acoustic field in a Pekeris waveguide excited by either a point source in cylindrical geometry or a line source in plane geometry. Besides, an unconditionally stable numerical solution is also presented, which entirely resolves the stability problem in previous methods. Generally the branch line integral contributes to the total field only at short ranges, and hence is usually ignored in traditional normal mode models. However, for the special case where a mode lies near the branch cut, the branch line integral can contribute to the total field significantly at all ranges. The wavenumber integration method is well-suited for such problems. Numerical results are also provided, which show that the present model can serve as a benchmark for sound propagation in a Pekeris waveguide.     

Laser-diode wavelength tuning based on butt coupling into an optical fiber

An extremely short external cavity that is realized when a Fabry-Perot laser diode is butt coupled to a waveguide or a fiber produces feedback that is effective for controlled wavelength tuning. We used butt coupling to tune a high-output-power laser diode over a wide range (as great as 15 nm) while maintaining constant driving current and temperature. Single-mode or multimode operation repeatedly occurred at specific points throughout the tuning range. An analytical model that includes the effect of multiple reflections from the external cavity, each attenuated by a modal overlap integral, and which is based on phenomenological principles, shows good agreement with the experimental results.     

Influence of multimode-pump propagation on the gain characteristics of erbium–ytterbium doped waveguide amplifier

Channel waveguides with channel opening widths (COWs) from 4.5 to 7.5 μm with increment of 0.5 μm have been fabricated by two-step ion exchange on the same erbium-ytterbium uniformly doped phosphate glass substrate of 4.3-cm length. Experimental results indicate that the gain for 1534-nm small signal light pumped at saturation is maximized and shows a 3.6-dB enhancement for these erbium-ytterbium doped waveguide amplifiers (EYDWAs). The intensity profile overlap between signal and multimode-pump light in waveguide leads to the improvement in the gain of EYDWA. This can be used to explain the experimental results and shows the general dependence of the gain characteristics on the modal behavior of EYDWA. The presence of higher order modes of pump light and the optimization of this intensity profile overlap are significant to improve the gain properties of EYDWA.     

一种基于简正波模态消频散变换的声源距离深度估计方法

针对浅海环境中传播的低频宽带水声脉冲信号,基于简正波水平波数差和波导不变量之间的关系,本文提出了一种利用距离-频散参数二维平面聚焦测距与匹配模态能量定深的目标声源定位方法.首先,通过将由频散参数和波导不变量表示的前几阶模态相速度与由环境模型计算的相速度进行对比分析,从而估计出前几阶模态的频散参数和环境的波导不变量.其次,利用估计出的频散参数值和波导不变量对接收信号进行消频散变换处理,只有当接收信号的距离参数等于目标声源距离时,各号简正波的幅度均达到最大值,在距离-频散参数二维平面上,出现声压聚焦的现象,利用此现象可以估计目标声源的距离.不仅如此,消频散变换后的接收信号,前几阶模态在时域上明显地分离开来,可以准确地估计出前几阶模态的能量,采用多模态能量匹配的方式,可以估计出目标声源的深度.最后,通过对仿真和冬季获得的气枪信号数据处理结果验证了本文方法的有效性.     

椭圆形高折射率芯Bragg光纤的偏振和色散特性

应用全矢量有限元方法,分析了椭圆形高折射率芯Bragg光纤的偏振和色散特性,详细讨论了光纤结构参量对模式双折射的影响,结果发现：椭圆形高折射率芯Bragg光纤的模式双折射在10－3量级,比传统保偏光纤高出一个量级,且随波长的增加而单调递增;模式双折射随包层低折射率材料填充比的增加而减小,但与包层周期的变化几乎无关.此外,提高椭圆率或材料间的折射率比可显著增强模式双折射.研究结果有助于设计高性能的一维微结构保偏光纤.     

SiO2波导布拉格器件中声表面波及声光相互作用分析

针对SiO2光波导声光布拉格器件,计算了SiO2非对称平板波导TE模式的横向场分布;给出了SiO2/ZnO/Air层状介质结构的性能方程、运动方程和麦克斯韦方程,推导出这种层状结构的特征方程,并结合所满足的边界条件,得到了各层介质的位移及电磁场分布;计算了声表面波所引起的光学相对介质隔离率张量的变化,最后讨论了声光衍射效率和光场与声场的重叠积分、声功率、声频率、声孔径和光波导参数之间的关系。结果表明,在低频范围内光场与声表面波场重叠良好;低阶模的重叠积分始终大于高阶模重叠积分,最低阶模与声表面波相互作用最强,所需声功率最小;当声功率一定时,增加声孔径可以提高衍射效率。     

A Low-loss Electro-optic Waveguide Polymer Modulator and its Optimization Design

Generally, the core is made up of EO materials in electro-optic waveguide polymer modulators and thus lightwave carrier is modulated in the core. In this case, the loss from chromophores is often large because the most of light power are confined to cores. In order to reduce the optical loss, we presented an approach that the lightwave was modulated only in claddings; that is to say, the EO polymer is only used in claddings and the core material is low-loss passive. Results indicate the propagation loss of this kind of modulator is about 1/3 of the former. Although the modal overlap integral between the microwave and the lightwave weakened under this condition, it could be improved by optimizing the dimension of waveguide. Due to the lower propagation loss, the interaction length of the modulator may be lengthened. Thus, the half-wave voltage can be decreased further. Also, some considerations on optimization design of this modulator are discussed. Especially, the effect of conductor loss and velocity mismatching should be taken into account in order to achieve the theoretical optimal half-wave voltage and the device bandwidth.     

Characterization of an elastic target in a shallow water waveguide by decomposition of the time-reversal operator

This paper reports the results of an investigation into extracting of the backscattered frequency signature of a target in a waveguide. Retrieving the target signature is difficult because it is blurred by waveguide reflections and modal interference. It is shown that the decomposition of the time-reversal operator method provides a solution to this problem. Using a modal theory, this paper shows that the first singular value associated with a target is proportional to the backscattering form function. It is linked to the waveguide geometry through a factor that weakly depends on frequency as long as the target is far from the boundaries. Using the same approach, the second singular value is shown to be proportional to the second derivative of the angular form function which is a relevant parameter for target identification. Within this framework the coupling between two targets is considered. Small scale experimental studies are performed in the 3.5 MHz frequency range for 3 mm spheres in a 28 mm deep and 570 mm long waveguide and confirm the theoretical results.