Modeling and Simulation of Saturation Gain of IR Integrated Photonic Amplifiers

IR integrated photonic amplifiers at 1.55m operation will have good foreground in optical phasedarray radars for splitters and signal processing. The saturation gain characteristics of IR integrated photonic waveguide amplifiers (taken Er³⁺Yb³⁺ co-doped phosphate glass waveguide amplifiers as an example) are studied theoretically. For the homemade laser glass materials the calculated saturation intensities are 2.22kw /cm² for signal and 10.15kw/cm² for pump. The effects of absorption saturation of signal and pump lights on the gain of amplifiers are discussed.     

Yb3+sensitized Er3+-doped waveguide amplifiers: a theoretical approach

Silicate and phosphate glass waveguide amplifiers doped with Er³⁺, and co-doped with Er³⁺/Yb³⁺ are theoretically studied. Configurations for core and core–cladding doped waveguide amplifiers are considered. It is shown that gain in the core–cladding doped amplifiers is considerably higher than core doped amplifiers. It is also shown that with input signal power up to 1 and 200mW pump power, a 12.5dB gain can be achieved in a 3cm long waveguide amplifier, with a noise figure of 3dB.     

Er3+-Yb3+共掺磷酸盐玻璃光波导的FD-BPM分析

阐述了三维波导结构的FD-BPM原理,并用FD-BPM法模拟了波长为1.54μm和0.98μm的高斯光束在Er³⁺-Yb³⁺共掺磷酸盐玻璃光波导内光场分布.与沟道光波导相比,掩埋型光波导内的泵浦光和信号光的散射都非常小,光场分布非常均匀.研究结果表明,掩埋型光波导是制作Er³⁺-Yb³⁺共掺磷酸盐玻璃光波导激光器和放大器的理想波导.     

Thin Film Filter for Broadband IR Integrated Waveguide Amplifiers

A new S-type of IR integrated waveguide amplifiers, based on erbium-ytterbium co-doped phosphate glass integrated with medium thin film filter, is proposed. The intrinsical gain spectrum of the proposed amplifier is obtained by solving rate and power propagation equations, a thin film filter flattening this intrinsical gain spectrum is designed by genetic algorithm, and fabricated. An average gain >10dB is obtained between 1530nm and 1560nm, and the average gain about 18dB between 1531nm and 1550nm with gain difference of <3dB is achieved.     

Er3+-Yb3+共掺磷酸盐玻璃(LGS-L)波导放大器设计

就作者自行研制的Er3 + Yb3 + 共掺磷酸盐玻璃 (LGS L) ,用重叠积分方法进行放大器设计。在Er3 + 、Yb3 + 掺杂浓度分别为 1.5 1× 10 2 6ions/m3 、19.1× 10 2 6ions/m3 的情况下可获得 2 .6dB/cm的增益 ;Er3 + 掺杂浓度为2× 10 2 6ions/m3 时 ,在 4cm的器件上可获得超过 15dB的增益。此外 ,讨论了信号光和抽运光光场强度的横向分布与Er3 + 、Yb3 + 横向掺杂浓度分布之间的重叠对放大器增益的影响 ,放大器的最佳长度 ,以及在 980nm抽运下 ,Yb3 + 、Er3 + 掺杂浓度比对放大器增益的影响。     

脊形掺铒Al2O3光波导放大器级联特性的模拟计算

利用有限元法分析了脊形掺铒Al₂O₃光波导放大器内信号光和抽运光的场模式分布、速率方程求解铒离子五能级系统的粒子数分布.数值模拟了光波导净增益与信号光功率的关系和多个放大器级联的净增益特性.结果表明：级联系统存在着净增益亏损.低掺铒浓度的光波导作前级放大器的组合方式,级联系统总净增益最大.     

Er与Yb共掺波导放大器的ADI-FDTD数值模拟

提出了一种新的简单的数值计算方法模拟Er与Yb共掺磷酸盐玻璃波导放大器(EYCDWA)的增益特性.该方法是基于交变隐式差分方向的时域有限差分法(ADI-FDTD)的迭代方法,用ADI-FDTD计算波导中的光场强度分布,用迭代法研究光波的传输方程.数值结果表明,增加光波导长度和提高Er³⁺浓度是提高EYCD WA增益的两种重要途径,Yb³⁺起能量传递的作用,Er/Yb的比率取1~4较好.     

Er3+-Yb3+共掺磷酸盐玻璃平面波导

研制一种新型的Er^3 -Yb^3 共掺磷酸盐激光玻璃材料，在其上用离子交换方法进行平面光波导制作研究。实验表明，该玻璃在AgNO3 KNO3 NaNO3混合熔盐中具有良好的化学稳定性，为平面光波导放大器的制作提供了实验依据。     

Numerical investigation of gain characteristics of Er3+/Yb3+ co-doped fiber amplifiers

In this work, a model for analyzing the gain characteristics of heavily Er³⁺/Yb³⁺ co-doped compact fiber amplifier is presented. Four-level rate equations and finite-difference beam propagation method are applied to simulate the optical field evolution along the active fiber. Based on this model, the influences of ion concentration, fiber length and pump power on the gain characteristics of Er³⁺/Yb³⁺ co-doped phosphate glass fiber amplifiers are theoretically investigated. Numerical results show that for a fiber length of 3.6 cm the internal gain can reach 27.2 dB with N _Er = 2.6 × 10²⁶ ions/m³ and N _Yb = 1.2 × 10²⁷ ions/m³ when pumped with 224 mW at 980 nm. The gain per centimeter is 7.56 dB/cm. The results can provide useful information to optimize the gain performance of these compact fiber amplifiers.     

铒镱共掺光波导激光器的稳态特性

从光波导激光器的工作理论出发,研究了铒镱共掺磷酸盐波导激光器的稳态特性。利用重叠因子简化了980 nm光抽运的铒镱共掺波导激光器四能级模型的速率-传输方程;在忽略自发辐射的情况下,利用数值模拟的方法,得到了铒镱共掺波导激光器的输出与Er³⁺/Yb³⁺离子浓度、泵浦功率、波导长度等参量之间的关系曲线。理论分析结果表明,选择合适的铒镱离子浓度是制作铒镱共掺波导激光器的关键。采用980 nm波长的泵浦光,泵浦功率为80 mW,Er³⁺浓度取20×10²⁶/m³左右,Yb³⁺/Er³⁺浓度比为7~10,波导长度为20 cm左右时,可以得到最大输出光功率。     

双包层Er-Yb共掺光纤放大器上能级粒子数分布研究

基于速率方程和功率传播方程, 数值分析了双包层Er-Yb共掺光纤放大器在波长为972nm的泵浦光作用下, 分别采用三种不同泵浦方式, 其Er3+和Yb3+上能级粒子数分布情况. 数值结果表明,Er3+上能级粒子数分布受信号功率影响作用大, 激发率基本保持在50％以上; Yb3+上能级粒子数分布受泵浦功率影响作用大, 激发率基本保持在10％以下, 该结论对双包层Er-Yb共掺光纤放大器的性能研究具有一定指导意义.     

掺铒玻璃波导放大器中抽运光信号光重叠因子分析

通过分析掺铒(Er3 )玻璃波导放大器(EDWA)的放大增益机理,提出抽运光与信号光光模场分布之间的归一化重叠积分因子(Γ),并引入到掺铒波导放大器增益模拟计算中,使理论模型更切合实际。以Ag -Na 二次离子交换工艺制作的具有埋入型渐变折射率分布的掺铒波导放大器为例,采用数值方法模拟了条形波导截面上的二维折射率分布及抽运光、信号光的光模场分布。计算了不同工艺参量设置下的Γ大小,讨论Γ对放大器增益的影响。结果显示,在二次离子交换制作过程中设置适当工艺参量优化折射率分布,能有效改善波导中抽运光与信号光光模场分布之间的重叠因子,提高掺铒波导放大器的增益。计算结果显示,在一定条件下,Γ从0.5增至0.8,每厘米长度掺铒波导放大器的放大增益可提高近1.5 dB。     

Amplifying Characteristics of Er3+/Yb3+ Co-Doped Parallel-Cascaded Double Microring Resonators

Abstract

In terms of the coupled mode theory, formulas of the transfer function and the output power gain are presented for an Er³⁺/Yb³⁺ co-doped parallel-cascaded double microring resonator. Around the pump wavelength of 0.98 μm and the central signal wavelength of 1.55 μm, analysis is performed for the dependence of the output power gain on the pump power, signal power, dopant concentration, amplitude coupling ratio, and ring spacing. The results show that the output power gain of this device is much larger than that of the Er³⁺/Yb³⁺ co-doped waveguide amplifier with identical waveguide lengths. In the case of the amplitude coupling ratio κ = 0.064, ring spacing L₂ = 10π R, pump power P_p0 = 8 mW, signal power P_s0 = 37.2 μW, Er³⁺ ion concentration N_Er = 1 × 26 m^?3, and Yb³⁺ ion concentration N_Yb = 3 × 27 m^?3, the device can produce higher signal power gain from 11.9 dB even up to 70 dB.     

Er-Yb co-doped glass waveguide amplifiers using ion exchange and field-assisted annealing

Er³⁺-Yb³⁺ co-doped waveguide amplifiers fabricated using thermal two-step ion-exchange are demonstrated. K⁺-Na⁺ ion-exchange process was first carried out in pure KNO₃ molten bath, and then field-assisted annealing (FAA) was used to make the buried waveguides. The effective buried depth is estimated to be ∼3.4 μm for the buried FAA waveguides. With the use of cut-back method, the fiber-to-guide coupling loss of ∼4.38 dB, the waveguide loss of ∼2.27 dB/cm, and Er³⁺ absorption loss ∼5.7 dB were measured for a ∼1.24-cm-long waveguide. Peak relative gain of ∼7.0 dB is obtained for a ∼1.24-cm-long waveguide. The potential for the fabrication of compact optical amplifiers operating in the range of 1520-1580 nm is also demonstrated.     

Effects of pumped styles on power conversion efficiency and gain characteristics of phosphate glass Er3+–Yb3+-co-doped waveguide amplifiers

In order to analyze the power conversion efficiency (PCE) and the gain characteristics of the phosphate glass Er³⁺–Yb³⁺-co-doped waveguide amplifier (EYCDWA), formulas are derived from the rate equations and the light propagation equations under the uniform dopant and the steady-state conditions. In the derivation of these formulas, we have neglected the amplified spontaneous emission (ASE) and have introduced the initial energy transfer efficiency. By using these formulas, the effects of the pump power, signal power and waveguide length on the PCE and the gain characteristics of the EYCDWA are analyzed, and some useful results are obtained in three kinds of pumped styles, i.e. the forward-, backward- and bidirectional pumped styles.     

离子交换铒掺杂硅酸盐玻璃波导光放大特性

将集成光学放大器用于光纤通信系统中是人们越来越感兴趣的课题，由此导致人们寻找与此相适应的稀土掺杂玻璃材料。给出了一系列Er^3 ／Yb^3 共掺杂硅酸盐玻璃波导的制备和光谱特性的基本结果。平面和条型波导均由Ag^ -Na^ 离子交换技术制备。光谱测量显示，所有样品在1532nm都观测到了荧光发射峰．其半高谱宽为19nm。用波长为514．5nm和980nm的激光抽运，测得多数样品中Er^3 离子在亚稳态^4I13.2能级上的荧光寿命均为7ms左右。Er^3 ／Yb^3 共掺杂玻璃的上转换均低于单掺Er^3 玻璃。用250mW，波长为980nm的激光抽运3．5cm长的条形波导，在1536nm波段下得到的最大净增益是5dB，增益谱的半峰全宽是14nm。     

高浓度镱铒共掺磷酸盐光纤放大器增益特性

在忽略高能级的自发辐射和光纤损耗的情况下，利用速率方程和传输方程理论研究了高浓度Er³⁺/Yb³⁺共掺磷酸盐玻璃光纤放大器的增益特性，讨论了Er³⁺浓度、Yb³⁺浓度、抽运光功率、信号光功率、光纤长度对放大器增益的影响，并与单掺铒光纤放大器进行了比较.由于Yb³⁺的敏化作用降低了铒离子的团簇效应，减少了离子间相互作用，共掺光纤的增益和效率明显高于单掺光纤.数值计算表明，3.2cm长Er³⁺/Yb³⁺共掺光纤在980nm的20dBm(100mW)抽运功率下，1532nm处的增益可达10dB. 关键词： 镱铒共掺光纤放大器 速率方程 传输方程 高浓度     

Research on the influence of fabrication parameters on the performance of buried ion-exchanged glass waveguides using the variational method

The variational method is proposed to analyze the influence of the fabrication parameters on the performance of buried K⁺–Na⁺ ion-exchanged Er³⁺–Yb³⁺ ions co-doped glass waveguide. The unknown parameters of the Hermite–Gaussian functions as the trial field distribution are determined based on the scalar variational principle. It is demonstrated that the results calculated in this paper agree with those measured in the experiment. The mode dimensions, the effective refractive index, and the overlap factor as the functions of the fabrication parameters are investigated. These results of the variational analysis are useful for the design and optimization of Er³⁺–Yb³⁺ ions co-doped waveguides.     

Survey and research on up-conversion emission character and energy transition of Yb/Er/Tm co-doped phosphate glass and glass ceramic

By conventional high-temperature melting method, Yb³⁺/Er³⁺/Tm³⁺ co-doped phosphate glass was synthesized. After annealing the precursor glass, the phosphate glass ceramic (GC) was obtained. By measuring the X-ray diffraction (XRD) spectrum, it is proved that the LiYbP₄O₁₂ and Li₆P₆O₁₈ nano-crystals have existed in the phosphate GC. The up-conversion (UC) emission intensity of the GC is obvious stronger compared to that of the glass. The reason is that the shorter distance between rare earth ions in the glass ceramic increases the energy transitions from the sensitized ions (Yb³⁺) to the luminous ions (Er³⁺ and Tm³⁺). By studying the dependence of UC emissions on the pump power, the 523 and 546 nm green emissions of Er³⁺ ions in the glass are two-photon processes. But in the glass ceramic, they are two/three-photon processes. The phenomenon implies that a three-photon process has participated in the population of the two green emissions. Using Dexter theory, we discuss the energy transitions of Er³⁺ and Tm³⁺. The results indicate the energy transition of Tm³⁺ to Er³⁺ is very strong in the GC, which changes the population mechanism of UC emissions of Er³⁺.     

Optimal Design of Thin Film Filters for IR Integrated Photonic Amplifiers

This paper addresses in the design of thin film filter for IR broadband integrated photonic amplifiers. A cascaded multilayer medium thin film filter structure is presented. This proposed filter consists of some different filtering unit cells with different central wavelength and bandwidth, and each cell can suppress certain peak gain at a specific wavelength. The intrinsical gain spectrum of amplifier is obtained by solving a set of rate and power propagation equations with finite difference time-domain(FDTD)-based overlapping integral-Runge Kutter(RK) method. The effect of transmittance spectrum of the proposed cascaded multilayer medium thin film filter on flattening gain is discussed. The transmission function of the cascaded multilayer medium thin film filter is obtained. Finally, a real device is fabricated, it is shown that the design is valid.