Optical Bloch equations with dual photon excitation explain the polarization dependence of four wave mixing quantum beats

We explain the polarization dependence of four wave mixing (FWM) quantum beats for semiconductors as essentially due to the spin phase correlations of photo-excited electrons, rather than to Coulomb interaction between the electrons. A theoretical analysis is given within the framework of optical Bloch equations for the light–semiconductor interactions and the Luttinger–Kohn model for the band structure. Residual Coulomb interactions between charge carriers are ignored. The results suggest that the polarization dependence of FWM quantum beats is a purely coherent effect of dual photon excitations, rather than, e.g., exciton–exciton Coulomb interaction. We show that the coherence transfer between the excited states is responsible for the FWM in a configuration with orthogonally polarized pump and probe.     

可调谐半导体环形激光器与FWM全光波长变换实验研究

优化设计半导体光纤环形激光器(SFRL)产生波长连续可调谐窄线宽的激光输出,可调谐范围为40nm,利用半导体光放大器(SOA)的非线性效应四波混频(FWM),实现了码速为2.5Gb/sSDH信号光的波长变换,向上变换7.07nm,向下变换19.49nm.在实验中不需要外加泵浦光源.     

压缩系数可控的光脉冲压缩器

提出了一种压缩系数可控的光脉冲压缩器.该脉冲压缩器主体包括梳状色散分布光纤（CDPF）和喇曼放大器两部分.梳状色散分布光纤由多段色散位移光纤和单模光纤拼接而成,具有喇曼增益介质的功能.对一给定的光脉冲序列,可以通过控制泵浦功率实现脉冲压缩器的压缩率可调.通过对非线性薛定锷方程的数值模拟,这一光脉冲压缩器的性能得到了验证.当光脉冲在CDPF中传输时,脉冲得到压缩并且被放大.对喇曼泵浦功率来改变可以得到不同的输出脉宽.通过优化CDPF的结构,得到了喇曼泵浦功率和压缩系数之间很好的线性关系.     

Generation and transmission simulation of 60 G millimeter-wave by using semiconductor optical amplifiers for radio-over-fiber systems

A novel method of the millimeter-wave (MMW) generation is proposed for Radio-over-fiber systems with low phase noise by using semiconductor optical amplifiers (SOAs). The simulation results show that the method is correct. When a pump light and a signal light are input into the SOA, the converted light induced by four-wave mixing (FWM) effect is generated. The optical MMW is generated between the signal light and converted light after filtering the pump light. The electrical MMW is obtained by beating the signal light and converted light via a photo-detector. The phase noise of the system is low because the phase difference between the signal light and converted light is stable for the FWM effect. The power of MMW is increased with the increase of the pump light power and the pump current of the SOA, is decreased with the increase of the polarization azimuths of the pump light.     

Ultra-short optical pulse shaping using semiconductor optical amplifier

Optical ultra-short pulse compression and amplification using semiconductor optical amplifier (SOA) is presented. Using pump-probe pulse configuration, we present an SOA model which includes the nonlinear effects such as, spectral hole burning (SHB), carrier heating (CH), two-photon absorption (TPA) and group velocity dispersion (GVD) taking into account gain spectrum effect. Then by adjusting time delay between the pump pulse and probe pulse we use the model for simultaneous compression and amplification of probe pulse. We also analyze the four wave mixing (FWM) signal during pulse compression process. It is shown that dispersive effect of GVD on output probe pulse becomes more important for larger cavity length and probe-pump pulses relative time delays.     

光子晶体光纤中多泵浦四波混频光谱增益特性研究

研究了信号与泵浦光同向传输,在色散平坦高非线性光子晶体光纤中的多泵浦四波混频光谱增益特性,从光谱学的角度分析了泵浦光波长漂移,泵浦光偏振方向平行与正交,信号光相对于泵浦光偏振态失配,二者总功率对多泵浦四波混频光谱增益特性的影响,探讨了泵浦光数目对多泵浦四波混频光谱增益特性的冲击。研究发现在36.4 nm波长范围,二者偏振态匹配时多泵浦四波混频效果最好,同时,多泵浦四波混频效应对偏振极为敏感,若两束泵浦光偏振态垂直,则它们分别与信号光发生四波混频,反之,则两束泵浦光之间亦会发生四波混频作用,且在正交泵浦的前提下,信号光偏振方向变化会直接导致各闲频光增益大小发生变化;进一步指出当采用三束连续泵浦光时,同样可以在一定波长范围内实现多泵浦四波混频效应。这些研究对于开发基于光子晶体光纤中多泵浦四波混频效应工作的超快光子器件具有一定的指导意义。     

Boost up of four wave mixing signal in semiconductor optical amplifier for 40 Gb/s optical frequency conversion

The 40 Gb/s optical frequency converter for non-return to zero differential phase shift keying (NRZ-DPSK) signal by using four wave mixing in semiconductor optical amplifier (SOA) have achieved sucessfully. The optimized signal-to-pump ratio for NRZ-DPSK by using optimized SOA structure with enhanced FWM effect is also evaluated. The optimum signal-to-pump ratio is 12 dB and 10 dB with Q factor penalty of 0.685 dB and 0.663 dB. The dependence of four wave mixing efficiency and converted signal power on signal input power is studied and it is evaluated that four wave mixing efficiency decreases with increase in the input power. The impact of pump power, signal-to-pump ratio, and SOA parameters with Q factor penalty for 40 Gb/s has been illustrated. It has shown that converted signal power increases up to the saturation power of semiconductor optical amplifier, then decreases. It is observed that for the optimum pump power, OSNR of converted signal varies little with signal input power.     

A Novel Method for Wavelength Conversion with Dual-pump Four-wave Mixing in a Semiconductor Optical Amplifier

1　Ｉｎｔｒｏｄｕｃｔｉｏｎ　　ＩｎｔｈｅＷＤＭｎｅｔｗｏｒｋ ,ｔｈｅｄｅｓｉｒａｂｌｅｆｅａｔｕｒｅｓｏｆａｎａｌｌ ｏｐｔｉｃａｌｗａｖｅｌｅｎｇｔｈｃｏｎｖｅｒｔｅｒｉｎｃｌｕｄｅｐｏｌａｒｉｚａｔｉｏｎｉｎｓｅｎｓｉｔｉｖｉｔｙ ,ｔｒａｎｓｐａｒｅｎｃｅｔｏｍｏｄｕｌａｔｉｏｎｆｏｒｍａｔａｎｄｂｉｔ ｒａｔｅ ,ｆｕｌｌｔｕｎａｂｉｌｉｔｙ ,ａｃｃｅｐｔａｂｌｅｏｕｔｐｕｔＳＮＲｏｖｅｒｔｈｅｅｎｔｉｒｅｒａｎｇｅｏｆｔｈｅｗａｖｅｌｅｎｇｔｈｓｕｓｅｄｉｎｔｈｅｎｅｔｗｏｒｋ[1] .Ｗａｖｅ…     

Optical signal processing using four wave mixing in highly nonlinear silicon nano-wire

Silicon-on-insulator (SOI) waveguide devices are emerging for the realization of optical signal processing systems for the last couple of years. The recent technological advancement in silicon photonics is the main driving force at the back of these devices. Using non-linear optical phenomenon in silicon wires and their compatibility with CMOS devices provide the stage for integrated photonic devices. All-optical signal processing devices are being investigated at present, but the chip-scale solution provided by the silicon photonics is the most promising. In this research we have investigated all-optical signal processing in a 10 mm long SOI waveguide by exploiting well established coupled wave equations. We consider single pulsed pump to analyze frequency shifting by four-wave-mixing (FWM). For the wavelengths 20?30 nm far from the pump, the gain overcomes nonlinear losses resulting in higher frequency conversion efficiency.     

周期极化掺镁铌酸锂光学参量振荡器时域特性的实验研究

分别采用MOTORULA公司的硅基光电二极管探测器和JUDSON公司的InGaAs光电二极管探测器对泵浦光和信号光的脉宽进行了测量.研究了极化周期、工作温度以及抽运功率与周期极化掺镁铌酸锂光学参量振荡器输出的信号光脉冲宽度的作用关系.实验采用LD端面抽运的声光调Q Nd∶YVO4激光器作为抽运源,在晶体温度为30 ℃、极化周期为29.5 μm条件下,当抽运功率为1 008 mW时,获得了平均功率为238 mW的信号光输出,其光-光转换效率为23.6%,最窄脉冲宽度约为9.3 ns,相对抽运光脉宽被明显压窄.     

Simultaneous chromatic dispersion monitoring,extinction ratio enhancement and wavelength conversion using four-wave mixing

This paper presents a multi-functional all-optical device performs simultaneous chromatic dispersion (CD) monitoring, extinction ratio (ER) improvement and tunable wavelength conversion using four-wave mixing (FWM) in a single piece of highly nonlinear optical fiber (HNLF). The multi-functional ability arises from the nonlinear power transfer function (PTF) between the input signal and the output idler wave, which not only maps the CD information of the signal onto the average power of idler wave, but also transfers the data information to the idler wave with ER enhancement, making the device compact and cost effective. Furthermore within the wavelength tuning range the monitoring sensitivity and output ER can be much higher compared to all optical monitors and regenerators proposed before. Numerical simulations are then used to demonstrate the efficiency of this method.     

一种新颖的偏振不敏感的基于半导体光放大器的四波混频光波长转换方法

提出和论述了一种新颖的偏振不敏感的基于半导体光放大器的四波混频光波长转换方法。基本思想是设计和采用一种全光学偏振态转换器 ,理论上能将随机偏振态的输入信号光转换为固定偏振方向且功率基本不变的线偏振光 ,利用它控制信号光的偏振态能够克服四波混频过程所固有的偏振敏感性。将这种方法与正交偏振双抽运方法结合起来 ,能较简单地实现偏振不敏感且具有近似常数转换效率的宽带四波混频光波长转换     

Investigation of tunable trap filter utilizing intense signal four wave mixing model in highly non-linear fiber

Tunable trap filter based on highly non-linear fiber (HNLF) utilizing degenerate four wave mixing (FWM) model has been proposed and investigated. The output powers in a FWM configuration are calculated as a function of the input signal power, with the result that new-wavelength is efficiently generated, leading to about −26 dB signal depletion. The signal loss spectra are also simulated under the condition of different initial signal powers, injected wavelengths, and fiber lengths.     

Design of ultrafast all-optical PolSK DMUX based on semiconductor optical amplifiers

A novel ultrahigh-speed all-optical demultiplexer (DMUX) with polarization-shift-keying (PolSK) modulation input signals is proposed. This design is based on four-wave mixing (FWM) in a semiconductor optical amplifier (SOA). For analyzing each amplifier, we use finite-difference method (FDM) based on solution of the traveling wave coupled equations. Using numerical simulation, the all-optical DMUX is theoretically realized at 40 Gb/s. We also study the relation between optical confinement factor and thickness of active layer of the SOA section successfully, and investigate the increasing effect of confinement factor on the DMUX optical output power. With this work, the confinement factor is increased from 0.3 to 0.48, and as a result, the output power approximately twice of its initial value is achieved. Moreover, the effects of polarization dependence of SOA on the output performance of all-optical DMUX for PolSK signal are theoretically investigated in detail.     

Flattening effect of four wave mixing on multiwavelength Brillouin-erbium fiber laser

A multiwavelength Brillouin-erbium fiber laser with enhanced output uniformity is demonstrated and its performance with and without the assistance of four wave mixing (FWM) is compared. The presence of FWM effect is proven by the generation of anti-Stokes wave and higher-order Stokes wave. This scheme is successful in flattening the multiwavelength output. At Brillouin pump wavelength of 1,550 nm, between the first and the last output channel, peak power differences of 4.59 and 8.32 dB are recorded for the scheme with and without the assistance of FWM, respectively. This represents 3.73 dB improvement in the multiwavelength output power uniformity.     

Controllable four-wave mixing based on quantum dot-cavity coupling system

We theoretically study the four-wave mixing(FWM) response in a quantum dot-cavity coupling system, where a two-level quantum dot(QD) is placed in an optical cavity while the cavity mode is coupled to the nanomechanical resonator via radiation pressure. The influences of the QD-cavity coupling strength, the Rabi coupling strength of the QD, and the power of the pump light on the FWM intensity are mainly considered. The numerical results show that the FWM intensity in this hybrid system can be significantly enhanced by increasing the QD-cavity coupling strength. In addition, the FWM intensity can be effectively modulated by the Rabi coupling strength and the pump power. Furthermore, the effects of the cavity decay rate and the cavitypump detuning on the FWM signal are also explored. The obtained results may have potential applications in the fields of quantum optics and quantum information science.     

Performance analysis for an all-optical wavelength converter using four-wave mixing (FWM) in a single mode fiber

An analytical approach is presented to determine the performance of a tunable wavelength converter based on four wave mixing (FWM) in a single mode fiber (SMF) with two pump lasers. The analysis is carried out for an intensity modulated (IM) signal taking into considerations the effects of spectral broadening due to FWM and laser phase noise. The results evaluated at a bit rate of 10 Gb/s show that the signal power is substantially higher at lower values of wavelength separation. For example, for input powers of 10 mW each, wavelength separation of 4 nm between the pump-2 and the input signal, the output converted power is found to be –10 dBm corresponding to wavelength separation of 2 nm between pump-1 and converter signal. The corresponding crosstalk power is found to be –25 dBm at a channel separation of 3 times bit rate.     

A novel method degrading the combined effect of FWM and ASE noise in WDM systems containing in-line optical amplifiers

In this paper, a novel method degrading the combined effect of four-wave mixing (FWM) and amplified spontaneous emission (ASE) noise of the amplifier on the most heavily affected channel in an equally channel spaced wavelength division multiplexing (WDM) system containing in-line optical amplifiers is proposed. FWM effect is directly related to input powers of channels. So, FWM effect can be degraded by controlling channel input powers. In the proposed method, varying the input power of each channel in an optical fiber, the output optical signal to noise ratio (OSNR) values are evaluated and input powers of all channels are optimized in order to maximize the OSNR value of the channel having the lowest OSNR. To interpret the results obtained, output OSNR values for the minimum optical input power launched to the system by each channel are also computed. Being compared to the computed results for minimum optical input powers, the lowest output OSNR value among all channels for optimized input powers shows a 5.1867 dB increase in a 5-channel system, a 3.5988 dB increase in a 9-channel system, a 3.0855 dB increase in a 15-channel system and a 1.6795 dB increase for a 21-channel system. Furthermore, output OSNR values of all channels exhibit a significant increase.     

Evaluation of the cross-polarization modulation impact on the conversion efficiency of a four wave mixing process developed in a bulk-SOA

This paper addresses, theoretically and experimentally, the impact of the cross-polarization modulation (XPolM) phenomenon on the conversion efficiency of a four wave mixing (FWM) process taking place in a bulk-SOA with input signals linearly co-polarized at 0°, 45°, 90°, and −45°. Based on the experimental determination of the output polarization states of the pump and probe signals, a technique is proposed to incorporate the XPolM effect in classic models describing the FWM. It is demonstrated that classic models lacking the inclusion of the XPolM effect can reflect a significant error in the estimation of the conversion efficiency.     

20-Gb/s and Higher Bit Rate Optical Wavelength Conversion for RZ-DPSK Signal Based on Four-Wave Mixing in Semiconductor Optical Amplifier

Abstract

We investigate 20 Gb/s wavelength conversion for return-to-zero differential phase-shift keying (RZ-DPSK) signal using four-wave mixing (FWM) in a semiconductor optical amplifier (SOA). We show that the 10-Gb/s RZ-DPSK signal-to-pump ratio increases up to ?0.286 dB with Q factor improvement of 1.663 dB for increasing the cascadeability of optical networks. The effect of variation in bandwidth for an ideal dual-arm Mach-Zehnder interferometer (MZI) is illustrated. For different bit rates, the converted power signal is investigated with increase in signal input power. We show that the quality of converted signal is best before the saturation of SOA. The dependence of four-wave mixing (FWM) efficiency and converted signal power with signal input power is also studied, and it is found that FWM efficiency decreases with increase in signal input power.

The impact of signal-to–pump power ratio, unsaturated amplifier gain, and pump power is further optimized with minimum Q factor penalty for 10-Gb/s and 20-Gb/s bit rate. We show that converted signal power increases up to power saturation level and then starts decreasing. We also show that with higher bit rate, we have a wide range of choices for pump power signal. We further investigate the quality of converted signal at 10 Gb/s, which shows an improvement over signal input power. Finally, the increase in transmission distance after wavelength conversion is investigated.