Analytical relation between effective mode field area and waveguide dispersion in microstructure fibers

For optical fibers exhibiting a radially symmetric refractive index profile, there exists an analytical relation that connects waveguide dispersion and the Petermann-II mode field radius. We extend the usefulness of this relation to the nonradially symmetric case of microstructure fibers in the anomalous dispersion regime, yielding a simple relation between dispersion and effective mode field area. Assuming a Gaussian mode distribution, we derive a fundamental upper limit for the effective mode field area that is required to obtain a certain amount of anomalous waveguide dispersion. This relation is demonstrated to show excellent agreement for fiber designs suited for supercontinuum generation and soliton lasers in the near infrared.     

Wave propagation in a single-mode fibre with dip in the refractive index

A theoretical study has been carried out on propagation in single-mode fibres having a dip in the refractive index at the centre of the core. The energy of the mode gradually spreads from the centre of the core with increase of the degree of the dip. Nevertheless the near and far-field distributions of such single-mode fibres are very nearly Gaussian in shape. A simple method of estimating the limit of the single-mode region for any kind of index profile is presented. For a particular class of profiles, dip widths up to 30% have a negligible effect on the propagation characteristics.     

Mode excitation in circularly symmetric graded-index optical fibers by focused gaussian beams

Field distributions and propagation constants of modes in weakly guiding circularly symmetric optical waveguides having arbitrary radial refractive index distribution are determinable from a variational analysis, which uses the solution of the scalar wave equation for the infinitely extended parabolic refractive index profile as a reference (Laguerre-Gaussian functions). The power coupling coefficients of the power, which is transferred from a focused Gaussian beam to an LP_vp-mode, depend on frequency and on four normalized launching parameters. Once the field-describing matrix equation has been solved numerically, closed-form expressions are obtained. The condition for optimal matching of the fundamental mode is given, and it is found that the maximum power excitation coefficient may be close to 100% even for substantially disturbed profiles.     

Mode excitation in circularly symmetric graded-index optical fibers by focused gaussian beams

Field distributions and propagation constants of modes in weakly guiding circularly symmetric optical waveguides having arbitrary radial refractive index distribution are determinable from a variational analysis, which uses the solution of the scalar wave equation for the infinitely extended parabolic refractive index profile as a reference (Laguerre-Gaussian functions). The power coupling coefficients of the power, which is transferred from a focused Gaussian beam to an LP_vp-mode, depend on frequency and on four normalized launching parameters. Once the field-describing matrix equation has been solved numerically, closed-form expressions are obtained. The condition for optimal matching of the fundamental mode is given, and it is found that the maximum power excitation coefficient may be close to 100% even for substantially disturbed profiles.     

激光热效应对PPLN晶体倍频效率的影响

从准相位失配关系出发,研究了PPLN晶体倍频效率与温度的关系,针对温度对折射率与极化周期的影响,分析了激光热效应对准相位匹配系统谐波转换过程的影响。采用有限元分析法计算了PPLN材料内部温度分布状况,并对热效应影响下晶体内部倍频效率变化情况进行了计算。计算结果表明:在不同基频光功率密度下,在倍频过程中晶体温度及通光方向截面折射率的分布不同,在倍频晶体出射面倍频效率的分布也不同;随基频光功率密度增大,晶体整体温度与折射率增大,出射端面倍频效率分布随基频光功率密度变化而变化;与理想条件倍频系统相比,激光热效应对晶体倍频效率有一定的影响。     

Design and optimisation of high-brightness 980 nm laser diodes with distributed phase correction

Designs for 980 nm Al _x Ga_1–x As/In_0.2Ga_0.8As/GaAs high-power, high-brightness semiconductor lasers/amplifiers with distributed phase correction and short-cavity lengths (i.e. cavity lengths 560–1040 m) are presented. The proposed lasers/amplifiers employ a single mode feed waveguide coupled to a power amplifier with a laterally graded effective refractive index (GRIN) profile to control the lateral mode shape and phase. The lateral index of the power amplifier has a hyperbolic secant (HYSEC) profile, which can be approximately realised by tailoring the effective refractive index of the amplifier using a series of discrete etches. The epitaxial and structure designs of the laterally discretised GRIN lasers/amplifiers are presented. Finally, a method for improving the effective refractive index discretisation is described.     

Near- and far-field emission distributions of mesa stripe geometry double heterostructure lasers

Mesa stripe geometry double heterostructure lasers have been made with cavity widths down to 16 μm. The lowest threshold current values are down to 75 mA but more typical values are 110 mA, and the slope efficiencies are typically 40%. Measurements of near- and far-field distributions have shown that the problem of high order mode structure parallel to the junction is not as serious as expected although emission is normally in the lowest order only for very low drive currents. Improved mode control is demonstrated by a hybrid mesa-contact stripe geometry device which gave a pulse power output of 30 mW in the lowest order mode at a drive current of 310 mA.     

激光束整形光学系统的设计与研究

提出了一种改善激光投线仪光束均匀性的新方法,该方法运用几何光线追迹的原理,对激光束通过带孔柱透镜的光路进行了计算,模拟了柱透镜内孔在不同大小、形状、透镜介质折射率等参数下的光束远场能量分布,获得了能量分布均匀的远场激光线.     

长周期光纤光栅傅里叶模式耦合理论

建立了长周期光纤光栅傅里叶模式耦合理论.在分析同向模式耦合时,发现了同向耦合模式的振幅系数间存在傅里叶变换关系.推导了长周期光纤光栅的同向耦合谱和透射谱的通用表达式.该理论是用傅里叶变换分析得出长周期光纤光栅折射率微扰的空域谱,再对该空域谱进行模式同向耦合分析,从而得到长周期光纤光栅光谱特性的通用表达式.根据该理论模拟分析了长周期光纤光栅在不同长度和微扰幅值时的光谱特性,与传统耦合模理论进行了对比分析.结果表明,该长周期光纤光栅傅里叶模式耦合理论具有简单、精确和高效的特点,与实际长周期光纤光栅的透射谱特性一致.应用该理论可分析无过耦合的任意轴向折射率微扰分布的长周期光纤光栅光谱特性.     

Bragg光纤光栅傅里叶模式耦合理论

建立了Bragg光纤光栅傅里叶模式耦合理论.在分析光纤光栅的耦合模时,发现了耦合模式的振幅系数间存在傅里叶变换关系.推导了将傅里叶变换和模式耦合融合在一起的Bragg光纤光栅反射谱和透射谱的通用表达式.该理论是用傅里叶变换得到Bragg光纤光栅折射率微扰的空域谱,再对该空域谱进行模式耦合分析计算,从而得到Bragg光纤光栅的光谱特性.根据该理论,仿真分析了Bragg光纤光栅的谱特性,与耦合模理论、直接傅里叶变换法进行了对比分析.结果表明,傅里叶模式耦合理论与传统的耦合模理论及实际Bragg光纤光栅的光谱特性一致,具有简单、清晰、直接、精确和分析效率高的特点,可分析任意轴向折射率微扰分布的Bragg光纤光栅结构.     

Influence of pump beam size on laser diode end-pumped solid state lasers

Based on space-dependent rate equation, the lowest threshold input power for diode end-pumped solid state lasers is obtained for pump spot size w_p → 0. However, when the pump beam waist is decreased, the far-field half-angle increases due to the same beam quality, which will influence the match between the pump volume and mode volume. Most importantly, when the pump beam waist is decreased, the temperature and temperature gradient in the laser rod would be very high due to the resulting heat, which would cause material distortion, variation of refractive index, instability of laser resonator etc. We analyze the temperature distributions with different pump beam sizes and conclude that the condition w_p ≈ w₀ (the radius of the laser beam at the laser rod) is often taken as a rough guide to the optimum case.     

一种新型多芯-双模-大模场面积光纤的设计和分析

提出了一种新型双空气孔多芯-双模-大模场面积光纤结构, 计算了其模场分布、基模有效面积及弯曲损耗特性, 分析了各结构参量对其有效折射率及有效面积的影响. 这种结构在增大有效面积的同时使得二阶模的TE₀₁, TM₀₁模截止, 实现双模传输, 基模有效面积约为1044 μm².调整其结构参量, 甚至可以达到单模传输.这种结构制作简单、设计灵活, 可用于高速大容量无源光纤及有源器件中.合理设计各结构参量, 可以使有效面积达到3512 μm²甚至更高, 从而满足光通信领域中大容量、高功率传输等实际应用的需求. 关键词： 多芯光纤 双模 大模场面积 弯曲损耗     

Investigation of a UV-laser generated planar polymeric waveguide directly and after five years of preparation using an interferometric method

Polymeric integrated-optical waveguides were prepared in a planar chip using UV-laser lithographic method. Five waveguide samples were irradiated by an excimer laser of wavelength 248 nm with different irradiation parameters (fluence and irradiation doses). Using Mach–Zehnder interferometer, the refractive index depth profiles of these samples are determined in two cases, directly and five years later of preparation. A crucial change of refractive indices profiles has been recorded after five years of preparation. In the first case we got double region waveguides fitted a Gaussian shape, while in the second one we observe a single region waveguide which has exponential shape. The photochemical reactions responsible for these changes in the two cases are demonstrated. This is quite important when such waveguides are used in the applications. Also it was interesting to investigate the aging impact on mode field distributions and the effective mode indices. The mode parameters are determined based on a theoretical model and the experimentally obtained data. The results show a notable change in the mode field distributions and the propagation coefficients as influence of aging.     

Propagation offset characteristics of annular laser beams from confocal unstable resonators through the natural atmosphere

Based on the laser field from a positive confocal unstable resonator (ab initio), the propagation characteristics of the beam through atmosphere are investigated by means of fast Fourier transform (FFT), and it is assumed that the refractive index and absorption of atmosphere are only decided by the air molecules. Considering the thermal effects of the laser beam and wind velocity of air, we evaluate the beam offsets, beam spreading, and beam qualities of the laser field transmitting from the resonator through the natural atmosphere. Meanwhile, the far-field intensity distributions of the laser beam with various intensities in the atmosphere are obtained. It is shown that the far-field diffraction patterns are deformed due to absorption of air and wind velocity. β parameter and Strehl ratio, which are usually used for high-power lasers, are introduced to estimate the beam quality characteristics. With increasing the intensity of the beam, the far-field diagram patterns are outspreaded, the peak intensities reduced, the peak centers shifted, and the beam quality characteristics greatly degraded.     

Leaky Modes in Ag Nanowire over Substrate Configuration

By launching surface plasmons propagating along the Ag nanowire deposited on a substrate, we clearly observe three leaky modes using the Fourier imaging method. The effective refractive indexes, propagation lengths and electric field distributions of the modes are investigated, which indicate that the energy of the mode with a lowest effective refractive index is mainly distributed in the air, while for the other two modes, it is mainly distributed in the substrate and in the gap between the Ag nanowire and the substrate. These modes enable such a configuration to be used as a multichannel waveguide or highly directional optical antenna, which is of fundamental importance for optical device miniaturizations and photonic circuit integrations.     

Microscopic modelling of bulk and quantum-well GaAs-based semiconductor lasers

The dynamical behaviour of Fabry-Perot type semiconductor lasers is modelled, including the relevant many-body Coulomb effects of the excited carriers. Conditions are given under which a parametrization of the full model is possible, allowing simple analytic relations for local gain, refractive index and linewidth enhancement factor. The parameters of the simplified model are uniquely determined by the microscopic theory and have to be optimized for the respective operating conditions. The theory is evaluated for bulk and quantum-well GaAs active material and a variety of laser structures, including strongly and weakly index-guided structures, as well as purely guided single-and twin-stripe lasers.     

Perturbation theory of low-V optical fibres with dip in the refractive index

A simple perturbation theory has been used to study the characteristics of low-V, step-index optical fibres with a dip in the centre of the refractive index profile. Analytical expressions have been derived for the cut-off frequency and propagation constant of an arbitrary mode on such a fibre. In particular, it has been shown that even when the dip is quite large, the perturbation theory results for the propagation constant of the fundamental mode and cut-off frequency of the second mode are virtually indistinguishable from exact numerical results calculated by series expansion techniques.     

布拉格反射波导半导体激光器的研究

高功率半导体激光器在固体或光纤激光器泵浦、材料加工、医疗、传感、空间通讯和国防上有着极其重要的应用,但传统半导体激光器面临垂直发散角大、椭圆光斑的难题,限制了其直接应用。为了降低激光器的垂直发散角,本项目采用布拉格反射波导结构,利用光子带隙导引替代传统的全反射进行光场限制,优化设计了多种布拉格反射波导激光器结构,并制备了高性能的激光器器件。首先,采用传输矩阵理论和布洛赫波近似的方法计算了布拉格反射波导的模式色散关系,发现通过控制腔模光场分布,可实现不同远场的激光输出。接着,针对布拉格波导光子带隙导引机制,深入研究了四分之一波长布拉格反射波导激光器、单边布拉格反射波导激光器的光场特性,弄清了影响此类激光器远场的本质因素,最终设计并验证了一种布拉格反射波导双光束激光器,激光器在垂直方向可输出两个对称的、近圆形光束,单光束垂直和侧向发散角半高全宽分别低至7.2°和5.4°。另外,通过调控光缺陷层,使激光器工作在受抑隧穿光子带隙导引机制下,实现了超窄的单光束激光输出,激光器单管连续输出功率超过4.6 W,垂直发散角最低降至4.9°(半高全宽)和9.8°(95%功率)。这种高功率、窄的圆形光束输出可以大幅降低半导体激光器的应用成本,提高泵浦或光纤耦合效率,具有广阔的应用前景。     

Analysis of Nonlinear TE Waves in a Periodic Refractive Index Structure with a Nonlinear Cladding

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环状光纤单模条件和远场能量分布特性

基于弱波导近似,通过数值计算得出了环状光纤保持单模状态时对芯-包层折射率差值和导光层厚度的要求,同时讨论了这些设计参数对远场能量分布的影响。计算结果表明:当环状光纤工作在单模状态时,从光纤出射的环形光束衍射至远场时形成一个中央亮斑,具有很高的能量集中度。此外,减小芯-包层折射率差值与导光层厚度有利于进一步减小远场衍射的光斑宽度。