Modeling of coupling loss in ultra-compact SOI microring resonators

Ultra-compact microring resonators, made of high index contrast (HIC)-silicon on insulator (SOI) materials, have become key optical devices in integrated photonics systems. Both computer simulations and actual experiments have showed that coupling loss was a significant contributor to the total losses in ultra-compact microring resonators. In this paper, a computable model derived from step approximation method was present to theoretically determine the coupling loss. Excellent matching results between the model and literatures were achieved. The proposed model can be applied to evaluate the coupling loss for microring resonators with various geometries and guide the design of low loss optical devices based on ultra-compact microring resonators.     

Group delay and dispersion analysis of compound high order microring resonator all-pass filter

In this paper, we propose a novel compound high order microring resonator all-pass filter employing two cascaded microrings and an assistant microring. It improves the dispersion compensation ability and provides a wide bandwidth. The group delay range is effectively extended, which provides flexibility in choosing the geometrical parameters of the microring for technical convenience and bend loss improvement. The careful design of coupling coefficients can optimize the group delay response. This device is able to provide dispersion compensation to systems such as the high speed dense wavelength division multiplexer (DWDM) optical fiber links.     

传输矩阵法分析微环谐振器阵列传输特性

微环谐振器可用作未来高密度、超大规模集成光路的基本构件,其重要发展方向之一是多环化、阵列化,微环谐振器阵列近来成为研究的热点。基于定向耦合器、环形谐振腔、直波导腔的基本单元传输矩阵,建立了用于分析微环谐振器阵列传输特性的传输矩阵模型。讨论了列间距对传输特性的影响,并数值模拟了不同尺度的奇数行和偶数行情况下谐振器阵列的传输特性。结合此传输矩阵模型,讨论了通过改变微环谐振器阵列的尺度以及耦合系数以实现滤波特性改善的方案。最后数值研究了最小尺度微环谐振器阵列传输特性与腔间耦合系数的关系。     

All-optical flip-flop by nonlinear coupling of microring and waveguide

Careful studies of coupling show that transmittance power between microring and waveguide is dependant to field intensity. Also more researches show that optical multistable behavior of microring had been affected by nonlinear power coupling efficiency in high field intensities. Operation of microring in nonlinear regions can be so useful in designing all optical switches and control techniques. In this paper has been proposed an all-optical flip-flop based on nonlinear treatment of microring.     

光波导微环谐振器用于二进制格式变换研究

实验观测到了微环对入射二进制码的格式转换作用, 且这种转换作用对入射光波长具有强烈的依赖关系. 使用线性耦合模理论, 结合傅里叶变换以及电光马赫曾德强度调制作用, 理论再现了这一实验结果, 并通过使用简化的传递函数对此进行了解释. 理论分析还表明, 对于非临界耦合微环, 通过格式转换后波形的非对称性可以直观地判断微环的耦合状态, 即过耦合或欠耦合有不同的输出波形特点. 关键词： 微环谐振器 数据格式转换 耦合模方程 传递函数     

Coupling influence on the refractive index sensitivity of photonic wire ring resonator

By taking the coupling effect into consideration, we study the resonance condition of a photonic wire microring resonator (PWRR) sensor and compare our results with the previous work. Simulation results show that the resonant wavelength and sensitivity strongly depend on the coupling strength. The difference caused by the coupling effect can be up to tens of nanometers for the resonant peak position and tens of nm/RIU for the sensitivity in a silicon-on-insulator (SOI) PWRR. Such a giant influence from coupling effect cannot be disregarded and should be considered seriously for the design and application of PWRRs. It also shows an alternative tuning technique by controlling the coupling strength.     

A novel accelerometer based on microring resonator

A novel microring resonator accelerometer is proposed. It is realized by a suspended straight waveguide coupled with a microring resonator. Under the external acceleration, the coupling coefficient is a function of gap spacing between the two waveguides. The mathematical model of the sensing element is established. Both the finite element method and coupled mode theory are adopted to analyze and optimize the proposed structure. Simulation results show that the mechanical sensitivity is 0.015 μm/g with the working frequency below 500 Hz and cross-axis sensitivity less than 0.001%, which is promising in seismic related applications.     

Efficient fiber-to-waveguide coupling through the vertical leakage from a microring

A fiber-to-waveguide coupler is proposed to efficiently couple light from a single-mode fiber into a submicrometer semiconductor waveguide for integration with optoelectronic circuits. A microring with a specific refractive index is designed on the top of the semiconductor waveguide. The gradual vertical leakage from the microring forms steady coupling into the semiconductor waveguide. Coupling efficiency up to 93% is demonstrated using the three-dimensional finite-difference time-domain method. A tapered-waveguide or microring structure can be used to convert the lateral-mode size for coupling light into a single-mode semiconductor waveguide.     

有限元分析法在SOI基微环谐振器设计中的应用

利用有限元法(FEM)分析了大横截面SOI(Silicon-on-insulator)脊型波导的本征模式分布,确定了脊型波导的单模条件。在保证单模传输的情况下,模拟了SOI微环谐振器中波导耦合器的耦合长度、功率耦合系数与波导尺寸和间距的关系。模拟结果表明:对于W=1μm,H=2μm的SOI脊型波导耦合器,耦合长度LC随波导间距d的增加而增大,功率耦合系数随之减小。在波导间距d0.8μm的情况下,耦合长度LC随着归一化脊高r的增加而增大,当d0.8μm时,耦合长度LC随r的增加而减小。模拟结果为SOI微环谐振器的设计和应用提供了理论依据。     

Thermoelastic damping in thin microrings with two-dimensional heat conduction

Accurate determination of thermoelastic damping (TED) is very challenging in the design of micro-resonators. Microrings are widely used in many micro-resonators. In the past, to model the TED effect on the microrings, some analytical models have been developed. However, in the previous works, the heat conduction within the microring is modeled by using the one-dimensional approach. The governing equation for heat conduction is solved only for the one-dimensional heat conduction along the radial thickness of the microring. This paper presents a simple analytical model for TED in microrings. The two-dimensional heat conduction over the thermoelastic temperature gradients along the radial thickness and the circumferential direction are considered in the present model. A two-dimensional heat conduction equation is developed. The solution of the equation is represented by the product of an assumed sine series along the radial thickness and an assumed trigonometric series along the circumferential direction. The analytical results obtained by the present 2-D model show a good agreement with the numerical (FEM) results. The limitations of the previous 1-D model are assessed.     

聚合物串联耦合双环电光开关的优化

利用耦合模理论、电光调制理论和微环谐振理论,提出一个聚合物串联耦合双环电光开关器件模型,在1.55 μm谐振波长下对该器件进行了模拟和优化.结果为：微环波导芯截面尺寸为1.6×1.6 μm2,波导芯与电极间的限制层厚度为1.6 μm,电极厚度为0.15 μm,微环半径为15.2 μm,微环与信道间的耦合间距为0.14 μm,微环与微环间的耦合间距为0.6 μm,输出光谱的3 dB带宽约为0.06 nm,开关电压约为6 V左右,插入损耗约为2.2 dB,串扰约为－20 dB.所设计的双环电光开关较单环型电光开关不仅输出光谱更加平坦陡峭,非谐振光更弱,而且开关电压更低.     

硅基槽式微环谐振腔型偏振解复用器全矢量分析

提出一种紧凑型偏振解复用器, 其中两条常规硅基波导作为输入/输出信号通道, 居于其中的槽式微环谐振腔用于偏振态/波长选择组件. 采用全矢量频域有限差分法详细分析了硅基常规及槽波导的模式特性, 结果发现其横磁模的模场布及其有效折射率相似, 而其横电模相应的特性则差异明显, 结果输入横磁模能够在谐振工作波长下从下路端口输出, 而输入横电模与微环耦合可以忽略, 直接从直通端口输出, 从而实现两偏振态的高效分离. 采用全矢量时域有限差分法详细分析了该偏振解复用器的光波传输特性, 结果表明, 当微环半径为3.489 μm时, 在1.55 μm工作波长下, 横磁模与横电模的消光比与插入损耗分别为 ～ 26.12 (36.67) dB与 ～ 0.49 (0.09) dB. 另外, 论文详细讨论了器件关键结构参数的制作容差, 并给出了输入模场在器件中的传输演变情况.     

A study on a microring structure for practical devices

We propose a microring structure based on non-identical waveguides for the implementation in practical devices. Our design pays attention to aspects such as fabrication tolerances and fiber coupling efficiency. A detailed study has been carried out on the coupling between the non-identical waveguides in the analyzed structure.     

Analysis of microring filter with two embedded microring

In this paper, a microring resonator with two embedded microring (MRTEM) has been presented and studied theoretically. Transfer matrix method (TMM) has been used to simulate MRTEM and analyze the relations between add/drop spectrum and embedded microring arrangements. Three kinds of embedded microring arrangements have been proposed and analyzed by TMM. The theoretical and simulation results show that the Q factor of our structure is higher than that of traditional microring structure and the spectrum of MRTEM is independent on embedded arrangements.     

Single-photon all-optical switching using coupled microring resonators

We study the nonlinear phase response of a microring resonator coupled to a bus waveguide and the use of this nonlinear phase shift to store information in the microring resonator and enhance the switching characteristics of a Mach-Zehnder interferometer (MZI). By introducing coupling between adjacent microring resonators, the switching characteristics of the MZI can be exponentially enhanced as a function of the number of microring resonators, when compared to the linear enhancement for uncoupled resonators. With only a few moderate-finesse microring resonators, the switching power can be reduced to attowatt level, allowing for photonic switching devices that operate at single-photon level in ordinary optical waveguides.      

Design, fabrication and characterization of a high-performance microring resonator in silicon-on-insulator

A high-performance microring resonator in a silicon-on-insulator rib waveguide is realized by using the electron beam lithography followed by inductively coupled plasma etching. The design and the experimental realization of this device are presented in detail. In addition to improving relevant processes to minimize propagation loss, the coupling efficiency between the ring and the bus is carefully chosen to approach a critical coupling for high performance operating. We have measured a quality factor of 21,200 and an extinction ratio of 12.SdB at a resonant wavelength of 1549.32nm. Meanwhile, a low propagation loss of 0.89dB/mm in a curved waveguide with a bending radius of 40μm is demonstrated as well.     

Pedestal antiresonant reflecting waveguides for robust coupling to microsphere resonators and for microphotonic circuits

Strip-line pedestal antiresonant reflecting waveguides are high-confinement, silica integrated optical waveguides in which the optical modes are completely isolated from the substrate by thin high-index layers. These waveguides are particularly well suited for whispering-gallery mode excitation in high-Q microspheres. They can also be used in microphotonic circuits, such as for microring resonators. The theory and design of these structures are highlighted. Experiments that show high coupling efficiency to microspheres are also demonstrated.     

Optical soliton with group delay in microring coupled-resonator optical waveguides

This paper derives the dispersion relation of microring coupled-resonator optical waveguides (CROWs) without any approximation by using the transfer matrix method. Based on the established dispersion relation of CROWs it obtains the slow group velocity and dispersion coefficient. It finds that the effect of dispersion on optical pulses can be adjusted to balance the effect of nonlinearity by changing coupling coefficient or loss, so optical soliton with group delay can be obtained in microring CROWs. The optical soliton with group delay is of great significance for applications of microring CROWs in delay lines and optical buffers of future all-optical communication systems.     

Slotted Photonic Crystal Microring Resonators

We propose using a slotted photonic crystal nanobeam to construct a microring resonator. The transmission characteristics of the slotted photonic crystal nanobeam and the microring resonator are demonstrated by two-dimensional finite-difference time-domain simulation, and the mechanism of these characteristics is analyzed considering the introduction of the slot. The refractive index sensitivity of the slotted photonic crystal microring resonator is evaluated to be larger than those of a slot waveguide microring resonator and a nonslotted photonic crystal microring resonator.     

Photonic microring resonator modulated resonance response analysis

This paper presents the resonance response analysis of a photonic microring resonator. It covers the mathematical as well as simulation analysis on the modulated signals. The mathematical formulation provides a relation of several microring resonator parameters that could potentially affect the ring resonator performances. The simulation shows a graphical representation of the ring resonator full-width at half-max, quality factor (Q-factor) as well as the depth of the resonance at different modulation voltages applied to the ring. Several parameters have also been altered which is the ring radius, the coupling coefficient of the waveguides as well as the waveguide material group index. With this investigation, we determine the possible cause of the change in Q factor of a silicon microring resonator when the resonance is modulated and the possible solution to minimize the problem.