Simple design technique for a triangular FBG filter based on a linearly chirped grating

A novel and simple design technique for triangular spectrum response of fibre Bragg grating (FBG) is presented based on a linear chirped grating. It is shown that this method is fast and can give a straightforward solution to meet a design target. The numerical simulation examples verified the effectiveness of the design method. A general approach to design for multichannel triangular spectral responses for FBG filters is proposed, which provides a solution that achieves a minimum change of refractive index for the fibre.     

Design method for high performance grating couplers in photonic integrated circuits

The optimization of grating couplers is usually realized by multiple simulations using specific computational software for this task. Many grating parameters must be analyzed and designed to get the maximum coupling efficiency and the transmission spectrum centred at the wavelength of operation. However, these simulations may take a long time and consume high computational resources depending on the simulation resolution. This work is focused on finding a method to optimize the grating parameters with the lowest number of simulations. In this way, closed-form expressions are presented to get the optimal values for the period and fill-factor, which are the main parameters in the grating design. The usefulness of the proposed approach is shown for the design of silicon grating couplers operating at 1.31 µm and 1.55 µm and both TE and TM polarizations.     

啁啾飞秒激光脉冲形成的光纤光栅的Bragg反射特性

在800nm飞秒脉冲激光照射下光敏玻璃As₂S₃光纤具有双光子吸收 现象，当一束超短激光脉冲与另一束啁啾超短激光脉冲在As₂S₃光纤相遇时，干涉图案将 永久地记录一个空间啁啾光栅.研究了该光栅结构与入射超短脉冲激光脉冲参数的关系，数值计算表明该光栅具有较大的Bragg反射带宽. 关键词： 啁啾光纤光栅 飞秒激光脉冲 双光子吸收效应     

Operation of Tm3+ fiber laser at λ = 2.3 μm coupled to a silica fiber Bragg grating

A wavelength tunable all fibre laser which utilizes Tm³⁺-doped fluoride fibre as a gain mechanism emitting around a wavelength of = 2.3 m is reported. Tm³⁺-doped fluoride fibre was coupled to a fibre Bragg grating inscribed in silica. This laser was evaluated by employing it as a wavelength tunable source in a methane gas optical sensor. A minimum gas detectivity of 100 ppm m limited by the ability to prepare low concentrations of gases was achieved. Emission wavelength control was implemented by thermally tuning the grating, although this method may prove to be too slow and cumbersome for practical use. A model describing the coupling between the silica fibre Bragg grating and the Tm³⁺-doped fibre was developed and integrated with a fibre laser model. This theoretical framework was used to examine the optimum silica and fluoride fibre parameters to achieve the maximum coupling between the fibres, with the aim of further reducing the fibre laser threshold.     

平场全息凹面光栅制作结构与使用结构之间误差补偿作用的数值模拟与实验验证

通过对优化计算出的平场全息凹面光栅制作结构(曝光记录结构)和使用结构(光谱仪分光结构)之间各个参数进行联合数值模拟,得出如下结论：在优化设计参数值附近一个较大范围的误差区域内,平场全息凹面光栅的制作结构参数误 差和使用结构参数误差可以相互补偿,最终补偿的结果可以使光谱成像质量达到与原设计结构相当的水平,满足光谱仪器的使用要求。文章给出了数值模拟结果以及与其相符的实验验证结果。此补偿作用有利于降低平场全息凹面光栅制作 中各个参数精度的调节难度,并且可以对实际使用过程中光谱仪器的设计和装调进行理论上的指导。     

Numerical investigation of slow solitons in Bragg gratings with a hyperbolic tangent apodization

This paper numerically and analytically investigates the formation and propagation motion of optical soliton in the Bragg grating.We choose the fibre Bragg grating with hyperbolic tangent apodization in the middle section in order to obtain slower solitons.Optical fibre soliton but not Bragg grating soliton is used as input pulse in the discussion,which is much more approximate to the light source for the practical purpose.We discuss in detail the effects of the soliton’s velocity with some parameters in the process of transmission.The results show that by choosing special parameters,one can make the soliton slow-down with a little distortion and energy decay and obtain tunable time-delay on a small scale.     

Modal analysis of deep-etched low-contrast two-port beam splitter grating

Modal analysis of a deep-etched low-contrast two-port beam splitter grating under Littrow mounting is presented. The guideline for the design of a subwavelength transmission fused-silica phase grating as high-efficiency grating, polarizing beam splitter (PBS), and two-port beam splitter, is summarized. As an example, a polarization-independent two-port beam splitter grating is designed at wavelength of 1064 nm. We firstly analyzed the physical essence of the grating by the simplified modal method. The guideline for the grating design and the approximate grating parameters are obtained. Then using the rigorous coupled-wave analysis (RCWA) with parameters varying around the approximate ones, optimum grating parameters can be determined. With the design guideline, the time for the rigorous calculation of the grating profile parameters can be reduced significantly.     

长周期光纤光栅的分析和优化设计

利用传输矩阵法对相移和变迹长周期光纤光栅的传输特性进行了计算和分析,提出长周期光纤光栅传输谱的相移优化设计方法.采用非均匀相移的设计思想,优化长周期光纤光栅的传输谱.和传统的均匀相移和变迹长周期光纤光栅相比,可以有效消除长周期光纤光栅谐振波长附近的旁瓣,并保证其传输性能.计算和分析结果表明:这种方法比传统的变迹优化设计方法更有效.     

Single Mode Er-Doped π-Phase-Shifted Distributed Feedback Fibre Grating Laser

A novel method incorporating the shielded method and the post-processing method has been proposed to fabricate the π-phase-shifted fibre grating. Then an Er-doped π-phase-shifted distributed feedback fibre grating laser has been fabricated using the grating. The laser threshold is 20mW. When pumped with 90mW light at 980nm, the laser gives an output of 1.1mW. Its signal-to-noise ratio is better than 60dB. It is demonstrated that the laser is single mode operation by means of a Fabry--Perot scanning interferometer.     

Thermally stable optical fibre Bragg grating wavelength reference

The inherent temperature dependence of optical fibre Bragg gratings is caused mainly by the positive thermo-optic effect of the fibre core material, and it results in an increase of Bragg wavelength with temperature. Special mounting techniques may be designed in order to compensate this thermo-optic effect by counter-acting effects: decreasing mechanical strain, as well as a decreasing effective refractive index for the guided light wave by evanescent field interaction with a liquid of negative thermo-optic effect. Because of the non-linear interaction characteristics, exact temperature compensation is obtained for a certain temperature, which depends on the design parameters. Such stabilised fibre Bragg gratings find application as wavelength references in Bragg grating sensor networks.     

Theoretical study and optimization of a high power mid-infrared erbium-doped ZBLAN fibre laser

Based on the rate equations describing the erbium-doped fluoride glass(ZBLAN) fibre lasers with different pumping configurations being taken into account,this paper presents theoretical calculations related to the dynamic population density and the operation performance of a high power mid-infrared all-fibre erbium-doped ZBLAN fibre laser.It shows that the ground-state absorption,excited-state absorption and energy-transfer-upconversion processes co-exist and produce a population balance,causing the laser to operate stably at a continuous wave state.A good agreement between the theoretical results and recent experimental measurement is obtained.Furthermore,the laser structure parameters including fibre length,reflectance of output fibre Bragg grating and pumping configurations are quantitatively optimised to achieve the best performance.The results show,as expected,that the slope efficiency of the fibre laser can be improved significantly through optimisation,which then provides an important guide for the design of high-performance mid-infrared erbium-doped ZBLAN fibre lasers.     

Refinement and design of rare earth doped photonic crystal fibre amplifier using an ANN approach

A number of numerical and analytical methods with different complexity can be exploited to analyse fibre amplifiers. Conventional approaches make the refinement and design of the devices extremely time consuming, especially when several design parameters have to be simultaneously optimised to obtain the desired performance in terms of gain and noise figure.In order to tackle this issue, a method based on an artificial neural network to perform the refinement and design of erbium doped photonic crystal fibre amplifiers is proposed in this paper. The capability of the neural network to capture the nonlinear functional link among the physical and geometrical characteristics of the fibre amplifier and its gain and noise figure is exploited. In the refinement it is employed to determine the optimal values of the parameters maximising the gain. In the design, it is used to develop an inverse problem solver in order to determine the values of the parameters corresponding to the known values of gain.Numerical results show that the proposed approach finds the refinement/design parameters in good accordance with respect to the conventional one.     

基于MATLAB的零Ronchi法检测大抛物面栅条设计

介绍了用于设计栅条的光线追迹和三级像差理论，用MATLAB软件设计Ronchi栅条并给出了计算绘图的流程图。输入参数包括：大抛物面镜顶点曲率半径，点光源到光栅的距离等。得到包括偶数与奇数的不同数量的Ronchi栅条。结果表明：此方法可以准确快速的得到横向像差，为Ronchi光栅的设计提供了一种新方法。所设计的线条的绘制质量高，具有线条边缘清晰，光滑等优点。     

Study of the behaviour of the fibre Bragg grating fabricated with cladding mode suppression fibre

One effective method for suppression of coupling from guided optical modes into cladding modes in an optical fibre Bragg grating is to use cladding mode suppression fibre. In this specially engineered fibre, the grating is written into the core and the inner cladding, both of which are photosensitive. A theory is presented in this paper to analyse the spectral characteristics of this kind of gratings. A fibre Bragg grating was experimentally fabricated with this kind of photosensitive fibre (PS-RMS-50 from StockerYale). It is shown both theoretically and experimentally that such gratings exhibit strong suppression of the coupling between core mode and cladding mode. The experimental result is in good agreement with the theoretical analysis.     

Influence of Non-uniform Temperature Field on Spectra of Fibre Bragg Grating

We simulate the spectrum characteristics of fibre Bragg grating （FBG） with non-uniform temperature using the transmission matrix method, and the results are analysed. It is found that firstly the modulated coefficient of average refractive index is a very important parameter that influences the spectrum characteristic of the fibre Bragg grating, and secondly the spectrum curves are different in different temperature fields at the same parameter. Hence, we can determine the metrical temperature by analysing the spectrum of fibre Bragg grating.     

深度学习的亚波长窄带陷波滤光片设计

亚波长光栅结构表现出优异的陷波滤光特性,其经典设计是设定亚波长的几何结构参数,求解麦克斯韦方程组,设定优化算法求解出最优解,需要消耗大量的时间和计算资源.提出一种基于深度学习的逆向设计方法,搭建了可以同时实现正向模拟与逆向设计的串联神经网络.基于python语言的Tensorflow库进行网络搭建;优化均匀波导层的高度...     

A Novel Design of Grating Couplers for Efficient Broadband Coupling between Silicon-on-Insulator Nanophotonic Waveguides and Fibres

A novel design of out-of-plane grating couplers is proposed for coupling between silicon-on-insulator nanophotonic waveguides and single-mode fibres. The coupler with the first-order diffraction coupling to the optical fibre is actually a second-order reflected grating with two times of period of the first-order grating. To enhance outcoupled power, a back hole is designed to form in the silicon substrate and a kind of metals is placed on the top acting as a reflection layer. The coupler is optimized using coupled-mode-based simulations, showing that the coupling efficiency to and from tapered optical fibre can be as high as 85% with 1dB bandwidth about 23 nm.     

Demodulating the Response of Optical Fibre Long-Period Gratings： Genetic Algorithm Approach

The extraction of the physical parameters of long period gratings from the spectral response is not an easy process. We present a demodulation technique to synthesize the physical parameters of a long period grating recorded in an optical fibre. The demodulation is achieved through the implementation of a genetic algorithm. The extracted parameters are in agreement with the typical values known for long period gratings.     

Bragg grating dispersion compensation: comments on ‘UV-written in-fibre Bragg gratings’ by I. Bennion,J. A. R. Williams,L. Zhang,K. Sugden,N. J. Doran

The design criteria for fibre Bragg grating dispersion compensation are discussed, and the use of local grating dispersion d2 φ/d2 by Bennion et al. [1] is shown to be overly restrictive. A more useful measure of compensation degradation is phase deviation from the desired quadratic frequency dependence. This revised version was published online in November 2006 with corrections to the Cover Date.     

Unified design of wavelength-independent deep-etched fused-silica gratings

We present a unified design of wavelength-independent deep-etched fused-silica gratings as polarizing beam splitters and polarization-independent two-port beam splitters by using the simplified modal method. By defining unified grating parameters as the ratio of incident wavelength to grating period and the ratio of groove depth to grating period, unified grating structures are found to be approximately wavelength-independent, which is based on the modal view of the accumulated phase difference of two excited propagating grating modes. Diffraction efficiencies given by the rigorous coupled-wave analysis (RCWA) verified this unified design at the wavelength of 1064 nm. It should be noted that this unified design of wavelength-independent gratings is an analytic result, which is impossible to be derived with the well-known numerical RCWA. Modal method is powerful and presents a clear physical picture for us to obtain this unified design. Therefore, this unified design can be used as a general guideline for designing deep-etched fused-silica gratings as beam splitters for practical applications from ultraviolet to near infrared.