用遗传算法从时延特性重构光纤光栅参数

提出了采用遗传算法(GA)结合传输矩阵法从需要的时延特性对光纤光栅进行参数重构的方法。该方法以时延为目标函数,由光纤光栅参数,包括光栅长度、折射率调制、光栅周期和光栅啁啾,组成种群中的待优化的个体,经过若干代遗传得到最优结果。用实值编码遗传算法实现了对均匀光纤光栅、啁啾光纤光栅和切趾啁啾光纤光栅参数的重构。数值仿真结果表明该方法对光纤光栅的时延特性参数重构十分有效。由斜率为100ps/nm,最大时延为300ps,中心波长为1555.2nm的理想线性时延特性重构出切趾啁啾光纤光栅的参数。此方法可以有效地从时延信息中提取光纤光栅参数,能够应用在利用光纤光栅时延特性的光控相控阵天线设计中。     

Novel algorithm for synthesis of fiber gratings

A novel algorithm for the synthesis of fiber gratings is presented.For the first time we propose an effective optimal approach to construct a coupling coefficient function by employing 4th-order Runge-Kutta (R-K) analysis method for calculating the reflection spectra of fiber gratings.The numerical results show that with this proposed method, some required optical filters have been yielded with better features compared with other methods such as Gel'Fand-Levitan-Marchenko (GLM) algorithm.In addition, the performance of different interpolation functions particularly utilized in our algorithm, including linear-type, spline-type, and Hermit-type, are discussed in detail.     

L波段掺铒光纤放大器的增益平坦滤波器设计

EDFA的增益平坦化是WDM系统中的重要问题．用成本低、插损小的光纤光栅实现该功能是一项有吸引力的方案，采用剥层法设计了基于啁啾光栅的增益平坦滤波器。基于时间因果律的剥层算法将光纤光栅看成一个分离的模型，由一系列长度为△的复反射器所组成，每个反射器的后端耦合系数都可由它的前端耦合系数递归地求出，从而能快速、精确地反演出光栅的耦合系数函数。啁啾光栅的目标反射谱由理想的增益平坦滤波器透射谱获得，利用与反射谱群时延有关的常数α可控制光栅的长度，α取值为0．0024cm。时，对应的光栅长度为3．5cm。用剥层法反演出耦合系数函数后，又通过解Riccati方程模拟了合成光栅的透射谱。数值模拟结果显示理想透射谱与合成光栅透射谱之间的峰峰值误差小于0．1dB．并且在工作带宽范围内，透射谱群时延的变化量小于0．6ps，表明该滤波器对系统没有额外的色散影响。     

Synthesis method based on genetic algorithm for designing EDFA gain flattening LPFGs having phase-shifted effect

We propose a new synthesis method based on the genetic algorithm for the design of erbium-doped fiber amplifier gain flattening filters. Our genetic algorithm iterates starting with the long period fiber gratings structure constructed by inserting the phase-shifted long period fiber gratings in the middle of the structure, for the more accurately matched spectrum to the desired erbium-doped fiber amplifier gain flattening filter. To verify a synthesizing technique using the proposed algorithm, we have synthesized the long period fiber gratings structures according to the inverted gain spectrum of a commercially available erbium-doped fiber amplifier over the entire 1525–1570 nm range, theoretically. We have also obtained the synthesized structure was more accurate than the structure without phase-shifted section.     

Synthesis of Flat-Top Bandpass Filters Using Two-Band Rejection Long-Period Fiber Gratings

We propose a synthesis method based on the genetic algorithm for designing flat-top bandpass filters using two-band rejection long-period fiber grating (LPFG) filters. In the proposed method, the LPFG structure constructed by concatenating the two-band rejection filters is used as the initial parameter to easily design good flat-top bandpass filters in a wavelength range.     

A genetic algorithm for the inverse problem in synthesis of fibergratings

A new method for synthesis of fiber gratings with advanced characteristics is proposed. By combining the Runge-Kutta method for calculating the reflection spectrum of a fiber grating and a genetic algorithm, we obtain a promising method for the synthesis. Compared to other methods, the proposed method facilitates the task of weighting the different requirements to the filter spectrum. In addition, the method is general, and would thus be useful for other inverse problems     

Synthesis of grating lattice circuits

The realization of high-performance components based on optical infinite impulse response (IIR) filter design theory is desirable for next-generation global optical networks. Previously proposed IIR filter synthesis methods are matrix factorization techniques for a lattice circuit using ring resonators. The size of ring resonator limits the bandwidth of the lattice filters. In this paper, two configurations of grating lattice filters are synthesized by using a scattering matrix representation for the grating. The grating is one of the most powerful optical elements both in fiber optics and photonic integrated circuits. One configuration is a serial grating lattice filter configuration and the other is a parallel grating lattice filter configuration. The actual frequency response of the synthesized grating lattice filter is calculated to show the design limitation due to the frequency response of the element gratings     

一种用于合成光纤布拉格光栅的全时域算法

基于离散的光纤布拉格光栅(FBG)模型,推导了时域内的传输矩阵和散射矩阵;根据因果分析,提出了一种全时域的FBG合成算法,它能直接在时域内计算已知FBG的冲激响应.这种算法在迭代求解的过程中仅使用了简单的变换和移位操作,并考虑了光在FBG中多个反射点间的来回反射,能适用于高反射率FBG的重构.FBG合成的数值模拟,证实了这种全时域算法的优越性.     

光纤光栅梳状滤波器的设计及制作

利用传输矩阵法对紫外写入光纤光栅梳状滤波器的原理进行了推导 ,得出了决定滤波器光谱特性的有关参量及其影响规律。在此基础上设计并制作了几种取样光栅型梳状滤波器。     

基于光纤Bragg光栅的滤波技术

介绍了国际上最新的基于光纤Bragg光栅的光纤滤波技术发展情况，详细阐述了分布反馈式光纤Bragg光栅滤波器、多波长选择光纤Bragg光栅滤波器、应用光纤Bragg光栅的Michelson干涉型（MI）滤波器以及光纤Bragg光栅滤波耦合器的理论难点、基本原理及其应用。     

Wavelength division multiplexing all-fiber hybrid devices based onFabry-Perot's and gratings

In this paper, we propose and experimentally demonstrate a series of new all-fiber, tunable, and highly selective filters based on fiber gratings and Fabry-Perot's. The structures combine high fiber Fabry-Perot (FFP) selectivity and fiber Bragg grating (FBG) bandpass nature and presents high flexibility in the response by using nonuniform gratings. An ultraselective filter (a few MHz in range) is also addressed by cascading two FFP     

光纤光栅特性及其在光纤通信中的应用

介绍了光纤光栅的光学特性，并对应用于光纤通信系统中的高性能光纤光栅器件，例如波分复用／解支用器、激光器、DFB激光器、滤波器、色散补偿器、超窄光脉冲产生器等的原理及应用进行了阐述。     

Transmission Characteristics of Sagnac Loop with Fiber Bragg Grating

A transmission filter composed of a Sagnac loop and a fiber Bragg grating is studied in detail.It is found that the transmission spectrum of this filter is the splitting of the reflection spectrum of the fiber Bragg gratings.The filter can behave as a multiple-passband filter when the fiber Bragg grating is strong and as a single-band filter when the fiber Bragg grating is weak.Very narrow transmission filters can be obtained in this way.     

光纤光栅在高功率连续光纤激光器中的发展及展望

目前光纤光栅在高功率连续光纤激光器中的应用主要有两个方面,一是作为谐振腔腔镜,二是用来抑制激光器的非线性效应。首先论述了光纤光栅作为腔镜技术的发展现状,然后着重论述了能够抑制光纤激光器中非线性效应的特殊光纤光栅的发展状况。并详细描述了倾斜布拉格光纤光栅抑制受激拉曼散射和受激布里渊散射、长周期光纤光栅抑制受激拉曼散射以及相移长周期光纤光栅抑制自相位调制或四波混频等非线性效应引起的光谱展宽的研究进展。最后展望了光纤光栅在高功率光纤激光器领域的发展趋势,认为光纤光栅将朝着更高承载功率与长波长方向发展,同时认为基于飞秒激光刻写的光纤光栅技术、能够同时抑制多种非线性效应的光纤光栅技术、以及基于光纤光栅的光纤激光器激光偏振控制技术等将成为新的研究热点。     

Phase reconstruction from reflectivity in fiber Bragg gratings

We propose a method for phase, time delay, and impulse response reconstruction from the spectral power reflectance or reflectivity in fiber Bragg gratings (FBGs). This method is based on causality and stability conditions and uses the Hilbert and Wiener-Lee transforms. In order to obtain a complete study of the algorithm, we have applied it to uniform and nonuniform fiber Bragg gratings. Finally, we get a complete characterization of a experimental uniform fiber Bragg grating, from the measured reflectivity, by means of the phase reconstruction algorithm. Results show a good agreement between exact and reconstructed functions     

Transmission edge filters for power equalization of EDFA's

We propose and demonstrate the use of transmission edge filters based on apodized linearly chirped fiber Bragg gratings for providing power equalization among different wavelength channels in an erbium-doped fiber amplifier module. The filters we fabricated provide a dynamic range of ≈13 dB, an amplitude variation of ±0.5 dB from an ideal linear edge, and negligible group delay in transmission. Using the grating filters, we demonstrate power equalization, with no observed variation in signal levels after compensation, for three WDM signals having >6-dB difference in power levels before amplification. Our technique can also be extended to provide active power equalization by incorporating a feedback loop     

Effects of random phase and amplitude errors in optical fiber Bragggratings

This paper studies the influence of random phase and amplitude fabrication errors on the performance of optical filters based on fiber Bragg gratings (FBG's). In particular, we analyze two effects of particular importance for optical communications: the excess crosstalk induced in apodized gratings commonly used in wavelength-division-multiplexing (WDM) systems, and the time-delay fluctuations that appear in chirped gratings employed to compensate the fiber dispersion. A statistical model is presented to explain these effects in terms of the coherence length of the grating fabrication procedure     

Cascaded coupling: Realization and application to spectral maneuvering

In this paper, we analyze a scheme of three mode coupling referred to as cascaded coupling in an optical fiber by employing a pair of superimposed long period gratings. In the cascaded coupling process, interaction between two modes takes place via an intermediate mode. We show that cascaded coupling gives us an additional degree of freedom to tune the transmission spectrum to achieve desired spectral features by appropriate choice of grating parameters i.e. grating strength, length and wavelength of operation. Applications of the proposed design to achieve flat wavelength response and gain flattening filters for erbium doped fiber amplifiers are presented.     

Simple Technique for Eliminating the Interchannel Phase Fluctuations in Spectral Talbot-Based Periodic Comb Filters

We demonstrate an all-fiber periodic frequency comb filter based on sampled fiber Bragg gratings that exploits the spectral Talbot effect for tuning the free spectral range. Using a new cascaded grating design, we have successfully eliminated the interchannel phase fluctuations inherent in the previously reported implementations of such filters.     

Bandstop Filter Design Using a Dielectric Waveguide Grating

Precision design techniques are obtained for dieletric waveguide (DW) bandstop filters with bandwidths up into the 5-10-percent range. Dielectric waveguide bandstop filters are realized in the form of a grating in the DW image guide which utilizes notches of varying depth and length. The grating is designed from a transmission-line prototype which has a prescribed stopband and also prescribed Chebyshev passbands. An approximate synthesis procedure for such prototypes is presented. Design data for grating notches were obtained from tests on uniform gratings, while DW dispersion is compensated for by calculations based on the "effective dielectric constant" method. Excellent agreement between computed and measured attenuation response is obtained. Two such grating structures used with loads on one end and a 3-dB coupler can be used to form a bandpass filter.