Whispering gallery modes and effect of coating on Raman spectra of single microspheres

Raman spectra and fluorescence of BaTiO₃ and silica microspheres of different sizes have been studied. The observed whispering gallery modes (WGMs) have been assigned using theoretical simulations based on the Lorenz–Mie theory. The WGMs are found to have selective enhancements in the Raman spectra. The variations in the Raman spectra with the radial position of the excitation spot and excitation wavelength have been correlated with the morphology‐dependent internal field distributions of the microspheres. The effect of a thin dye coating on the fluorescence and Raman spectra was studied, and a coating thickness of ∼200 nm was estimated from the theoretical simulation of experimentally observed data based on the Aden and Kerker theory. Copyright © 2011 John Wiley & Sons, Ltd.     

Analytic approach to dielectric optical bent slab waveguides

A rigorous classical analytic frequency domain model of confined optical wave propagation along 2D bent slab waveguides and curved dielectric interfaces is investigated, based on a piecewise ansatz for bend mode profiles in terms of Bessel and Hankel functions. This approach provides a clear picture of the behaviour of bend modes, concerning their decay for large radial arguments or effects of varying bend radius. Fast and accurate routines are required to evaluate Bessel functions with large complex orders and large arguments. Our implementation enabled detailed studies of bent waveguide properties, including higher order bend modes and whispering gallery modes, their interference patterns, and issues related to bend mode normalization and orthogonality properties.     

Tm~(3+)掺杂Ge-Ga-S玻璃微球-石英光纤锥耦合系统的荧光回廊模特性

以熔融淬冷法自制了Tm~(3+)掺杂Ge-Ga-S硫系玻璃,并以此为基质材料,用漂浮粉料熔融法制备了直径分布为50—200μm的高品质因数(Q10~4)的有源硫系玻璃微球谐振腔.在显微镜下优选出一颗表面质量好、球形度较高、直径为72.84μm的微球,与氢氧焰扫描拉锥法制备的一根腰锥直径为1.93μm的石英光纤锥进行近场耦合.根据基质材料的吸收光谱特性,选用808 nm的半导体激光器作为抽运源.实验测得光纤锥倏逝波场激发出了掺Tm~(3+)硫系玻璃微球在1460 nm附近的荧光回廊模式,其典型共振峰间隔为4.39 nm.实验测得的荧光回廊模式与米氏散射理论计算结果符合度较高(最大误差仅为0.047%),验证了本文提出的掺Tm~(3+)硫系微球制备及耦合工艺的可行性.     

Coupling losses in pigtailed optoelectronic modules due to fiber stresses

In pigtailed optoelectronic modules, a major source of optical coupling loss due to thermal or mechanical deformations of the assemblies is the stress exerted on the fiber in the package between its holding points. The stresses exerted on the fiber, the resulting strains on the holding points, and the risk of fiber fracture are examined using analytical models on the deformations undergone by the fiber. Optimization of fabrication assembly technology with regard to the risks of fiber fracture and optical coupling losses represents a tradeoff between these two risks.     

Whispering gallery mode hybridization in photonic molecules

This work takes inspiration from chemistry where the spectral characteristics of the molecules are determined by hybridization of electronic states evolving from the individual atomic orbitals. Based on analogy between quantum mechanics and the classical electrodynamics, we sorted dielectric microspheres with almost identical positions of their whispering gallery mode (WGM) resonances. Using these microspheres as classical photonic atoms, we assembled them in a wide range of structures including linear chains and planar photonic molecules. We studied WGM hybridization effects in such structures using side coupling by tapered microfibers as well as finite difference time domain modeling. We demonstrated that the patterns of WGM spectral splitting are representative of the symmetry, number of constituting atoms and topology of the photonic molecules which in principle can be viewed as “spectral signatures” of various molecules. We also show new ways of controlling WGM coupling constants in such molecules. Excellent agreement was found between measured transmission spectra and spectral signatures of photonic molecules predicted by simulation.

     

Whispering gallery modes in intrinsic TiO2 microspheres coupling to the defect‐related photoluminescence after visible excitation

Defect‐caused visible photoluminescence after visible excitation in anatase TiO₂ microresonators couples to whispering gallery modes (WGMs). Spherical anatase TiO₂ of a radius between 1.5 µm and 4 µm have been prepared by a sol–gel technique based on hydrolysis of titanium tetrabutoxide. The observation of WGMs in intrinsic anatase TiO₂ without additional dopant offers new perspectives for the localisation of light at TiO₂ surfaces for the design of photocatalysts.

WGMs show up as narrow peaks in the photoluminescence spectra of TiO₂ microparticles after visible excitation.     

确定微型圆柱腔回音廊模式共振峰位置的方法

本文介绍了微型圆柱腔中回音廊模式共振峰位置的两种确定方法,即数值计算法和解析近似公式求解法。用两种方法对回音廊模式的共振峰位置进行了计算比较,结果表明:精确的数值计算结合简便的解析近似公式求解方法,为快速、精确地确定回音廊模式的共振峰位置提供了一种方便和可靠的途径。     

Giant gain enhancement in surface‐confined resonant Stimulated Brillouin Scattering

The notion that Stimulated Brillouin Scattering (SBS) is primarily defined by bulk material properties has been overturned by recent work on nanoscale waveguides. It is now understood that boundary forces of radiation pressure and electrostriction appearing in such highly confined waveguides can make a significant contribution to the Brillouin gain. Here, this concept is extended to show that gain enhancement does not require nanoscale or subwavelength features, but generally appears where optical and acoustic fields are simultaneously confined near a free surface or material interface. This situation routinely occurs in whispering gallery resonators (WGRs), making gain enhancements much more accessible than previously thought. To illustrate this concept, the first full‐vectorial analytic model for SBS in WGRs is developed, including optical boundary forces, and the SBS gain in common silica WGR geometries is computationally evaluated. These results predict that gains 10⁴ times greater than the predictions of scalar theory may appear in WGRs even in the 100 μm size range. Further, trapezoidal cross‐section microdisks can exhibit very large SBS gains approaching 10² m⁻¹W⁻¹. With resonant amplification included, extreme gains on the order of 10¹² m⁻¹W⁻¹ may be realized, which is 10⁸ times greater than the highest predicted gains in linear waveguide systems.

     

Observation of optomechanical coupling in a microbottle resonator

In this work, we report optomechanical coupling, resolved sidebands and phonon lasing in a solid‐core microbottle resonator fabricated on a single mode optical fiber. Mechanical modes with quality factors (Q_m) as high as 1.57 × 10⁴ and 1.45 × 10⁴ were observed, respectively, at the mechanical frequencies and . The maximum  Hz is close to the theoretical lower bound of 6 × 10¹² Hz needed to overcome thermal decoherence for resolved‐sideband cooling of mechanical motion at room temperature, suggesting microbottle resonators as a possible platform for this endeavor. In addition to optomechanical effects, scatter‐induced mode splitting and ringing phenomena, which are typical for high‐quality optical resonances, were also observed in a microbottle resonator.

     

石英玻璃微球吸收光谱上的结构共振

通过CO2激光器熔融不同直径的熔锥光纤以得到相应直径的石英玻璃微球,利用此微球和熔锥光纤,构造了球微腔耦合系统。实验中利用光腰直径为3.1μm的熔锥光纤与直径为143.1μm的石英玻璃微球进行耦合,通过最大分辨力为1pm的可调谐半导体激光器对该耦合系统进行光谱扫描,发现石英玻璃微球的吸收光谱中出现分立的结构共振峰。利用光学微球腔理论讨论了石英玻璃微球吸收光谱中的结构共振,并用米氏散射理论公式对一阶TE模共振峰的位置以及它们的间隔进行了计算,共振峰位置实验结果与理论结果的误差仅为0.03%,表明实验与计算结果相符。     

Free‐space coupling of nanoantennas and whispering‐gallery microcavities with narrowed linewidth and enhanced sensitivity

Due to the broad scattering spectral profiles, localized surface plasmon resonances (LSPRs) of Pd nanoparticles have low resolution and limited sensitivity for hydrogen detection. In this work, we use a simple light‐irradiation method to demonstrate that free‐space light can be efficiently coupled into and from the microfiber whispering‐gallery modes (WGMs) by the Pd nanoantennas. The nanoantenna–microfiber cavity system provides strong intermodal coupling between LSPRs and WGMs, and induces significant modulation of the scattering spectra. A measured full width at half‐maximum of 3.2 nm at 622.7 nm is obtained, which is the narrowest in Pd nanoparticle‐based LSPR structures reported up to now. The ultranarrow resonances offer enhanced sensitivity to hydrogen gas detection with a figure of merit reaching ∼2.22. Other advantages of the Pd nanoantenna–microfiber cavity system including independence of precise alignment of excitation light, large tunability of the resonant wavelengths, easy and low‐cost fabrication of the system, have also been demonstrated.

     

Improving Dielectric Nanoresonator Array Coatings for Solar Cells

Antireflection coatings based on dielectric nanosphere arrays are discussed in application to photovoltaic materials including silicon and gallium arsenide. Macro‐ and nanoscale characterizations and finite‐difference time‐domain calculations are performed, and demonstrate the enhanced optoelectronic properties. A significant absorptivity enhancement is achieved due to the collective resonant coupling of excited whispering gallery‐like modes and thin‐film interference effects. The resonant coupling is masked in macroscale measurements by the size variation of nanospheres, but it is clearly seen through imaging photocurrent at the nanoscale with near‐field scanning photocurrent microscopy. The resonant coupling can be effectively tuned by the material, configuration, or size of nanospheres. Hybrid coatings combining nanospheres of different materials yield the highest efficiency gain of more than 30%. The impact of manufacturing defects, such as double layer formation, is also evaluated. While the performance degrades, the antireflection coating still offers marked improvement in comparison with bare cells.     

Coupled-resonator-induced transparency in two microspheres as the element of angular velocity sensing

We proposed a two-coupled microsphere resonator structure as the element of angular velocity sensing under the Sagnac effect.We analyzed the theoretical model of the two coupled microspheres,and derived the coupled-resonatorinduced transparency(CRIT) transfer function,the effective phase shift,and the group delay.Experiments were also carried out to demonstrate the CRIT phenomenon in the two-coupled microsphere resonator structure.We calculated that the group index of the two-coupled sphere reaches n_g = 180.46,while the input light at a wavelength of 1550 nm.     

Nd~(3+)掺杂硫系玻璃微球荧光腔量子电动力学增强效应

采用粉料漂浮高温熔融法自制Nd3+掺杂硫系玻璃微球,研究了腔量子电动力学增强效应对稀土掺杂硫系玻璃微球荧光光谱的影响。把直径90.53μm的硫系玻璃微球与锥腰直径1.02μm的石英光纤锥耦合,将808nm抽运激光导入微球,荧光光谱存在分立的共振峰。根据米氏散射理论公式,计算得到TE偏振态下基模的三个共振峰位置,确定了这三个共振峰的模式序数。增强因子η≈1122,这表明微球荧光自发辐射速率增强幅度为1122倍。在基模条件下对原增强因子公式进行近似化简,并利用近似公式进行估算得到η≈1167,误差为4%。     

染料掺杂液晶填充毛细管的激光发射特性研究

本文提出利用染料掺杂液晶填充PI光控取向膜毛细管获得可调谐激光.采用532 nm YAG倍频脉冲激光器抽运,实验及理论研究了有聚酰亚胺(PI)取向膜和无PI取向膜毛细管的激光发射特性,对比分析了两种情形的激光产生阈值以及随温度变化的特性.结果表明:经PI光控取向处理的染料掺杂胆甾相液晶毛细管的激光发射模式具有分布反馈模式和回音壁模式,同时,激光产生阈值为4.5 m J·mm~(-2);发现当温度升高时,发射光谱发生"蓝移",中心波长调谐范围为5.9 nm,温度升高到43℃时,形成质量非常好的回音壁模式,其自由光谱范围为1.05 nm.经PI光控取向处理的染料掺杂向列相液晶激光发射模式为随机激光,并且较无PI取向时激光发射峰减少.     

掺铒磷酸盐玻璃微球吸收光谱上的形貌共振

利用高温熔融冷却法制备了直径为82．4μm的掺铒磷酸盐玻璃微球，并利用熔融拉丝法制备了锥腰直径为2．3μm的熔锥光纤与其进行耦合，发现了掺铒玻璃微球吸收光谱中出现的等间距分布的滤波谱线。利用光学微球腔理论讨论了玻璃微球吸收光谱中的形貌共振现象，计算出该耦合系统的品质因数为1．31×10^4。利用Mie散射理论计算了谱线的吸收峰位置和峰间间距，计算结果与实验结果相符合。最后比较了两种峰间间距算法的优劣。     

Field Analysis of Pillbox Resonator with Radiation Loss Utilizing Finite-Element Beam Propagation Method Formulation

To deal with the radiation from an axially symmetric pillbox resonator embedded in LiNbO₃ substrate, an eigenvalue equation is derived from the expression of the finite-element beam propagation method in a cylindrical coordinate system. By solving the eigenvalue equation iteratively, the field distributions and the angular phase constants of the pillbox resonator are evaluated. The iterative scheme of solving the eigenvalue equation is an extension of our previous direct solution method which was described for a lossless case. The results obtained by this method are compared with those obtained analytically, and excellent agreement is found.     

磷酸盐玻璃微球的制备

采用粉末飘浮法制备了磷酸盐玻璃微球。通过使用差热分析仪,X射线衍射仪,扫描电镜和傅里叶变换红外光谱仪对所制备的磷酸盐玻璃微球的性能进行表征。研究结果表明:磷酸盐玻璃微球的玻璃转化温度和析晶温度为580℃和930℃,主晶相为Mg3(PO4)2,直径约为5μm。所制备的磷酸盐玻璃微球可以用于光学微腔的研究。     

Self-Modulation of Scattering Intensity from a Silica Sphere Coated with a Sol-Gel Film Doped with J-Aggregates

A micrometer-sized nonlinear optical resonator constituted of a silica microsphere coated with J-aggregates has been fabricated by the sol-gel process. We determined the scattering light spectrum and discuss the application of the observed effect for the realization of an optical switching element. Optical evaluation of the sphere has been performed in the attenuated-total-reflection (ATR) configuration. We excited a whispering gallery mode and measured the nonlinear ATR signal dependence on excitation intensity. The experimental result agrees very well with the simulation results obtained using the Mie theory and the finite-difference time-domain method taking into account optical Kerr nonlinearity. The permittivity of the film of J-aggregates was measured by ATR method at several wavelengths and the value at the desired wavelength was determined by extrapolation using the Lorentz function.