CN102566194A - Broadband wavelength converter based on high-nonlinearity flattened-dispersion optical fibers and converting method of broadband wavelength converter - Google Patents
Broadband wavelength converter based on high-nonlinearity flattened-dispersion optical fibers and converting method of broadband wavelength converter Download PDFInfo
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Abstract
Description
技术领域 technical field
本发明涉及全光信号处理技术领域和非线性光纤光学技术领域,特别涉及一种基于高非线性色散平坦光纤的宽带波长变换器及变换方法。The invention relates to the technical field of all-optical signal processing and the technical field of nonlinear fiber optics, in particular to a broadband wavelength converter and a conversion method based on high nonlinear dispersion flat optical fiber.
背景技术 Background technique
信息技术以超乎人们想象的速度迅猛地发展,同时人们对通信品质及体验度的需求日益提升,因此,对通信技术提出了更高的要求。全光智能可重构通信网被公认为是解决通信瓶颈的下一代通信方式。在全光智能可重构通信网中,为了充分利用网络资源,需要对资源进行动态调节,以降低网络的阻塞,进而提高光网络的可重构性和智能性。目前实现全光波长变换的技术主要有交叉增益调制(XGM)、交叉相位调制(XPM)以及四波混频(FWM)等。交叉增益调制是有源器件中的增益饱和效应,半导体光放大器(SOA)是应用最广泛的产生交叉增益调制的器件。但是,由于SOA中载流子恢复时间的限制,这类全光波长变换器的响应速度一般在纳秒量级,这将限制全光波长变换速度的进一步提升。XPM和FWM是两种三阶非线性效应,具有飞秒量级的响应速度,是超高速全光波长变换的理想选择,得到各国科技工作者的高度关注。光纤的纤芯很小,使得它的三阶非线性系数很大,而且光信号在光纤中传播时,两者的作用距离长,因而可以很好地实现XPM或FWM效应,另外,基于光纤的全光波长变换器与光通信系统具有天然的兼容性,可以最大限制地减小插入损耗。Information technology is developing at a speed beyond people's imagination. At the same time, people's demand for communication quality and experience is increasing. Therefore, higher requirements are put forward for communication technology. The all-optical intelligent reconfigurable communication network is recognized as the next-generation communication method to solve the communication bottleneck. In an all-optical intelligent reconfigurable communication network, in order to make full use of network resources, it is necessary to dynamically adjust the resources to reduce network congestion and improve the reconfigurability and intelligence of the optical network. Currently, the technologies for realizing all-optical wavelength conversion mainly include cross-gain modulation (XGM), cross-phase modulation (XPM), and four-wave mixing (FWM). Cross-gain modulation is a gain saturation effect in active devices, and semiconductor optical amplifiers (SOAs) are the most widely used devices for generating cross-gain modulation. However, due to the limitation of carrier recovery time in SOA, the response speed of this kind of all-optical wavelength converter is generally on the order of nanoseconds, which will limit the further improvement of the all-optical wavelength conversion speed. XPM and FWM are two third-order nonlinear effects with femtosecond-level response speed, which are ideal for ultra-high-speed all-optical wavelength conversion, and have attracted great attention from scientific and technological workers from all over the world. The core of the optical fiber is very small, so that its third-order nonlinear coefficient is very large, and when the optical signal propagates in the optical fiber, the distance between the two is long, so the XPM or FWM effect can be well realized. In addition, the optical fiber-based All-optical wavelength converters are naturally compatible with optical communication systems and can minimize insertion loss.
经文献检索发现,Sarker,B.等人在Photonics Technology Letters(光子技术快报,2002,Vol.14,pp.340-342)上发表了题为“All-optical wavelength conversionbased on cross-phase modulation(XPM)in a single-mode fiber and a Mach-Zehnderinterferometer.(基于单模光纤和马赫-曾德干涉仪中交叉相位调制的全光波长变换器)”的论文,文中报道的全光波长变换器由一根2km长的标准单模光纤和一个马赫-曾德干涉仪组成。由于标准单模光纤的非线性系数较小,而色散不平坦等原因,使得该结构的波长变换效率不高,波长变换的宽度只有20nm,难以适合宽带全光变换的需要。Found through document retrieval, Sarker, B. et al published a paper entitled "All-optical wavelength conversion based on cross-phase modulation (XPM) on Photonics Technology Letters (Photonics Technology Letters, 2002, Vol. ) in a single-mode fiber and a Mach-Zehnderinterferometer. It consists of a 2km long standard single-mode fiber and a Mach-Zehnder interferometer. Due to the small nonlinear coefficient of the standard single-mode fiber and the uneven dispersion, the wavelength conversion efficiency of this structure is not high, and the wavelength conversion width is only 20nm, which is difficult to meet the needs of broadband all-optical conversion.
又经专利检索发现,申请号为200480025229.5,名称为《具有非对称位置的萨尼亚克干涉仪的基于半导体光放大器的全光波长转换器》。该装置使用一个萨尼亚克(Sagnac)干涉环路,并在环路的非对称位置上放置SOA,利用SOA和Sagnac环路共同完成输入信号的波长转换。正如之前所述,SOA的工作速度受制于载流子的恢复时间,因此该装置的工作速度只有纳秒量级,而且该装置中SOA的放置需要一个准确的偏移量,不合适的偏移量会使转换效果达不到设计的要求。After patent search, it was found that the application number is 200480025229.5, and the title is "All-optical wavelength converter based on semiconductor optical amplifier with Sagnac interferometer with asymmetric position". The device uses a Sagnac (Sagnac) interference loop, and places an SOA on an asymmetrical position of the loop, and utilizes the SOA and the Sagnac loop to jointly complete the wavelength conversion of the input signal. As mentioned before, the working speed of SOA is limited by the recovery time of carriers, so the working speed of the device is only on the order of nanoseconds, and the placement of SOA in the device requires an accurate offset, and an inappropriate offset A large amount will cause the conversion effect to fail to meet the design requirements.
因此,现有的全光波长变换器在可变换的波长宽度以及变换速度上,都需要进行提高,以满足要求。Therefore, the existing all-optical wavelength converter needs to be improved in both the switchable wavelength width and the conversion speed to meet the requirements.
发明内容 Contents of the invention
本发明要解决的技术问题是:为了克服现有全光波长变换器在可变换的波长宽度以及变换速度上的不足,本发明提供一种基于高非线性色散平坦光纤的宽带波长变换器及变换方法,本发明可以实现波长间隔为50nm以上的波长转换,变换速度理论上可达飞秒量级,在实施例中观察到皮秒量级的变换速度。The technical problem to be solved by the present invention is: in order to overcome the deficiencies in the switchable wavelength width and conversion speed of the existing all-optical wavelength converter, the present invention provides a broadband wavelength converter based on high nonlinear dispersion flat optical fiber and its conversion method, the present invention can realize wavelength conversion with a wavelength interval of more than 50nm, and the conversion speed can theoretically reach femtosecond level, and the conversion speed of picosecond level is observed in the embodiment.
本发明解决其技术问题所采用的技术方案是:一种基于高非线性色散平坦光纤的宽带波长变换器,具有用于调整待变换信号光偏振态和功率的信号光输入光路、连续光源和用于调整连续光偏振态和功率的连续光输入光路,所述的连续光源与连续光输入光路连接,还具有Sagnac干涉环,所述的Sagnac干涉环包括高非线性色散平坦光纤、用于将连续光传递到Sagnac干涉环上的第一耦合器和用于将待变换的信号光与第一耦合器输出的连续光耦合并传递到Sagnac干涉环上的第二耦合器,第二耦合器设置在高非线性色散平坦光纤与第一耦合器之间的Sagnac干涉环上,所述的信号光输入光路与第二耦合器通信,连续光输入光路与第一耦合器通信。The technical scheme adopted by the present invention to solve the technical problem is: a broadband wavelength converter based on a high nonlinear dispersion flat optical fiber, which has a signal light input optical path for adjusting the polarization state and power of the signal light to be converted, a continuous light source and a The continuous light input optical path for adjusting the polarization state and power of the continuous light, the continuous light source is connected with the continuous light input optical path, and also has a Sagnac interference ring, and the Sagnac interference ring includes a high nonlinear dispersion flat fiber, which is used for the continuous The light is passed to the first coupler on the Sagnac interference ring and is used to couple the signal light to be converted with the continuous light output by the first coupler and pass it to the second coupler on the Sagnac interference ring. The second coupler is arranged at On the Sagnac interference ring between the high nonlinear dispersion flat fiber and the first coupler, the signal light input optical path communicates with the second coupler, and the continuous light input optical path communicates with the first coupler.
为了控制Sagnac干涉环内光信号的偏振状态,所述的Sagnac干涉环上还具有至少一个第三偏振控制器,所述的第三偏振控制器和第二耦合器分别位于高非线性色散平坦光纤的两侧。In order to control the polarization state of the optical signal in the Sagnac interference ring, the Sagnac interference ring also has at least one third polarization controller, and the third polarization controller and the second coupler are respectively located in the high nonlinear dispersion flat optical fiber on both sides.
为了控制待变换的信号光和用于控制目标变换波长的连续光的偏振状态,所述的信号光输入光路具有至少一个第一偏振控制器,连续光输入光路中具有至少一个第二偏振控制器。In order to control the polarization state of the signal light to be converted and the continuous light used to control the target conversion wavelength, the signal light input optical path has at least one first polarization controller, and the continuous light input optical path has at least one second polarization controller .
为了适应宽带全光波长变换的需要,提高波长变换的宽度,所述的高非线性色散平坦光纤的非线性系数≥11(KmW)-1,色散系数:0≤GVD<1.5ps/km/nm,长度≤10m。In order to meet the needs of broadband all-optical wavelength conversion and increase the width of wavelength conversion, the nonlinear coefficient of the high nonlinear dispersion flat fiber is ≥11(KmW) -1 , and the dispersion coefficient: 0≤GVD<1.5ps/km/nm , length ≤ 10m.
作为优选,所述的第一耦合器是分光比为50∶50的四端口光功率耦合器,第一端为输入端,与所述的连续光源连接;第二端为变换后信号光的输出端;第三端和第四端分别为用于输出第一分量信号的第一分量输出端和用于输出第二分量信号的第二分量输出端,第三端和第四端均与Sagnac干涉环进行通信;所述的第一分量信号与第二分量信号在Sagnac干涉环上的运行方向相反。Preferably, the first coupler is a four-port optical power coupler with a splitting ratio of 50:50, the first end is the input end, connected to the continuous light source; the second end is the output of the transformed signal light terminal; the third terminal and the fourth terminal are respectively the first component output terminal for outputting the first component signal and the second component output terminal for outputting the second component signal, and both the third terminal and the fourth terminal interfere with Sagnac The ring communicates; the running directions of the first component signal and the second component signal on the Sagnac interference ring are opposite.
作为优选,与第一耦合器相配合,所述的第二耦合器是分光比为10∶90的三端口光功率耦合器,第一端为90%输入端,与信号光输入光路的输出端连接;第二端为10%输入端,与第一耦合器的第三端或第四端连接;第三端为用于输出耦合信号的输出端,与高非线性色散平坦光纤进行通信。Preferably, in cooperation with the first coupler, the second coupler is a three-port optical power coupler with a splitting ratio of 10:90, the first end is the 90% input end, and the output end of the signal light input optical path connection; the second end is a 10% input end, which is connected with the third end or the fourth end of the first coupler; the third end is an output end for outputting coupled signals, and communicates with a high nonlinear dispersion flat optical fiber.
一种基于高非线性色散平坦光纤的宽带波长变换方法,设置Sagnac干涉环,所述的Sagnac干涉环包括高非线性色散平坦光纤、第一耦合器、第二耦合器和至少一个偏振控制器,第二耦合器设置在高非线性色散平坦光纤与第一耦合器之间的Sagnac干涉环上;A broadband wavelength conversion method based on high nonlinear dispersion flat optical fiber, Sagnac interference ring is set, and described Sagnac interference ring includes high nonlinear dispersion flat optical fiber, a first coupler, a second coupler and at least one polarization controller, The second coupler is arranged on the Sagnac interference ring between the high nonlinear dispersion flat fiber and the first coupler;
接收经过偏振态和功率调整的待变换的信号光进入第二耦合器;receiving the signal light to be converted after the polarization state and power adjustment is entered into the second coupler;
接收经过偏振态和功率调整的连续光进入第一耦合器,所述的连续光的波长与目标变换的波长相同,在Sagnac干涉环中将连续光分成顺时针分量和逆时针分量;The continuous light received through the polarization state and power adjustment enters the first coupler, the wavelength of the continuous light is the same as the wavelength of the target conversion, and the continuous light is divided into a clockwise component and an anticlockwise component in the Sagnac interference ring;
第一耦合器的顺时针分量或逆时针分量与第二耦合器接收的信号光耦合后输入到高非线性色散平坦光纤中,产生相位调制信号;The clockwise component or counterclockwise component of the first coupler is coupled with the signal light received by the second coupler and then input into the high nonlinear dispersion flat fiber to generate a phase modulation signal;
相位调制信号与逆时针分量或顺时针分量同时到达第一耦合器,从第一耦合器中输出变换了波长的信号光和原波长信号光。The phase modulation signal and the counterclockwise component or the clockwise component reach the first coupler at the same time, and the signal light with converted wavelength and the original wavelength signal light are output from the first coupler.
变换过程中,调整偏振控制器,使Sagnac干涉环的输出信号最强。During the conversion process, adjust the polarization controller to make the output signal of the Sagnac interference ring the strongest.
为了选择所变换的信号,将从第一耦合器中输出的变换了波长的信号光以及原波长信号光输入到滤波器,得到变换了波长的信号光。In order to select the converted signal, the wavelength-converted signal light output from the first coupler and the original wavelength signal light are input to the filter to obtain the wavelength-converted signal light.
本发明的有益效果是,本发明基于高非线性色散平坦光纤的宽带波长变换器及变换方法,具有以下优点:The beneficial effects of the present invention are that the broadband wavelength converter and conversion method based on high nonlinear dispersion flat optical fiber of the present invention have the following advantages:
1、具有很宽的波长变换宽度,可以将信号转移到与信号光波长相隔50nm以上的波长上;1. With a wide wavelength conversion width, the signal can be transferred to a wavelength that is more than 50nm away from the signal light wavelength;
2、超快的响应速度,理论上可达到飞秒量级;2. Ultra-fast response speed, which can theoretically reach femtosecond level;
3、结构紧凑,节约成本,与现有的基于Sagnac干涉环的全光波长变换器相比,现有的Sagnac环的环长需要几百米到上千米,本发明的Sagnac环的环长只有10m;3, compact structure, cost saving, compared with the existing all-optical wavelength converter based on Sagnac interference ring, the ring length of existing Sagnac ring needs hundreds of meters to thousands of meters, the ring length of Sagnac ring of the present invention Only 10m;
4、功耗低,与现有的基于Sagnac干涉环的全光波长变换器相比,本发明的功耗要低至少3dB。4. Low power consumption. Compared with the existing all-optical wavelength converter based on the Sagnac interference ring, the power consumption of the present invention is at least 3dB lower.
5、高非线性色散平坦光纤不需要特别的偏移量,方便使用,后期不易受高非线性色散平坦光纤位置偏移而影响转换效果。5. The high nonlinear dispersion flat fiber does not require a special offset, which is convenient to use, and the conversion effect is not easily affected by the position offset of the high nonlinear dispersion flat fiber in the later stage.
附图说明 Description of drawings
下面结合附图和实施例对本发明进一步说明。The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
图1是本发明基于高非线性色散平坦光纤的宽带波长变换器最优实施例的结构示意图。Fig. 1 is a schematic structural diagram of an optimal embodiment of a broadband wavelength converter based on a high nonlinear dispersion flat fiber in the present invention.
图中1、掺铒光纤放大器(EDFA),2、第一偏振控制器,3、第一光功率衰减器,4、可调激光器,5、第二EDFA,6、第二偏振控制器,7、第二光功率衰减器,8、第二耦合器,9、第一耦合器,10、高非线性色散平坦光纤,11、第三偏振控制器,12、滤波器,13、自相关仪,14、光谱分析仪。In the figure 1, erbium-doped fiber amplifier (EDFA), 2, the first polarization controller, 3, the first optical power attenuator, 4, adjustable laser, 5, the second EDFA, 6, the second polarization controller, 7 , second optical power attenuator, 8, second coupler, 9, first coupler, 10, high nonlinear dispersion flat fiber, 11, third polarization controller, 12, filter, 13, autocorrelator, 14. Spectrum analyzer.
图2是本发明基于高非线性色散平坦光纤的宽带波长变换器最优实施例中波长变换前的光谱。Fig. 2 is the spectrum before wavelength conversion in the best embodiment of the broadband wavelength converter based on high nonlinear dispersion flat fiber of the present invention.
图3是本发明基于高非线性色散平坦光纤的宽带波长变换器最优实施例中波长变换后的光谱。Fig. 3 is the spectrum after wavelength conversion in the optimal embodiment of the broadband wavelength converter based on high nonlinear dispersion flat fiber of the present invention.
图4是本发明基于高非线性色散平坦光纤的宽带波长变换器最优实施例中波长变换前的信号光脉冲。Fig. 4 is the signal light pulse before wavelength conversion in the best embodiment of the broadband wavelength converter based on high nonlinear dispersion flat fiber of the present invention.
图5是本发明基于高非线性色散平坦光纤的宽带波长变换器最优实施例中经波长变换后输出的信号光脉冲。Fig. 5 is the signal light pulse output after wavelength conversion in the optimal embodiment of the broadband wavelength converter based on high nonlinear dispersion flat fiber of the present invention.
具体实施方式 Detailed ways
现在结合附图对本发明作进一步详细的说明。这些附图均为简化的示意图,仅以示意方式说明本发明的基本结构,因此其仅显示与本发明有关的构成。The present invention is described in further detail now in conjunction with accompanying drawing. These drawings are all simplified schematic diagrams, which only illustrate the basic structure of the present invention in a schematic manner, so they only show the configurations related to the present invention.
如图1所示,本发明基于高非线性色散平坦光纤的宽带波长变换器最优实施例的结构示意图。具有用于调整待变换信号光偏振态和功率的信号光输入光路、连续光源和用于调整连续光偏振态和功率的连续光输入光路,信号光输入光路依次具有第一掺铒光纤放大器1、第一偏振控制器2和第一光功率衰减器3,连续光输入光路中依次具有第二掺铒光纤放大器5、第二偏振控制器6和第二光衰减器7,连续光源为可调激光器4,可调激光器4与第二掺铒光纤放大器5连接,还具有Sagnac干涉环,Sagnac干涉环包括高非线性色散平坦光纤10、用于将连续光传递到Sagnac干涉环上的第一耦合器9和用于将待变换的信号光与第一耦合器9输出的连续光耦合并传递到Sagnac干涉环上的第二耦合器8,高非线性色散平坦光纤10与第一耦合器9在Sagnac干涉环上对称设置,第二耦合器8设置在高非线性色散平坦光纤10与第一耦合器9之间的Sagnac干涉环上,第一光功率衰减器3与第二耦合器8连接,第二光衰减器7与第一耦合器9连接。As shown in FIG. 1 , it is a schematic structural diagram of an optimal embodiment of a broadband wavelength converter based on a high nonlinear dispersion flat fiber in the present invention. It has a signal light input optical path for adjusting the polarization state and power of the signal light to be converted, a continuous light source, and a continuous light input optical path for adjusting the continuous light polarization state and power. The signal light input optical path has a first erbium-doped
Sagnac干涉环上还具有一个第三偏振控制器11,第三偏振控制器11和第二耦合器8分别位于高非线性色散平坦光纤10的两侧。There is also a
第一耦合器9是分光比为50∶50的四端口光功率耦合器,第一端901为输入端,与第二光衰减器7连接;第二端902为变换后信号光的输出端,与滤波器12连接;第三端903和第四端904分别为用于输出第一分量信号的第一分量输出端和用于输出第二分量信号的第二分量输出端,第三端903和第四端904均与Sagnac干涉环进行通信;第一分量信号与第二分量信号在Sagnac干涉环上的运行方向相反,第一分量信号沿逆时针方向运行,二分量信号沿顺时针方向运行。The
第二耦合器8是分光比为10∶90的三端口光功率耦合器,第一端801为90%输入端,与第一光功率衰减器3的输出端连接;第二端802为10%输入端,与第一耦合器9的第四端904连接;第三端803为用于输出耦合信号的输出端,与高非线性色散平坦光纤10进行通信。第一耦合器9的第三端903与第三偏振控制器11连接。The second coupler 8 is a three-port optical power coupler with a splitting ratio of 10:90, and the
待变换的脉冲信号经第一掺铒光纤放大器1放大,然后由第一偏振控制器2调节其偏振态,使信号光输入光路的输出信号最强,接着由第一光功率衰减器3将信号光功率调节到8dBm,最后由第二耦合器8将90%的信号功率由其801端口耦合到803端口,进入到Sagnac干涉环。将可调激光器4输出的连续光的波长调节到信号光需要变换到的目标波长,本实施例中目标变换的波长为1510nm,并由第二掺铒光纤放大器5放大,再由第二偏振控制器6控制其偏振态,使连续光输入光路的输出信号最强,接着由第二光衰减器7将连续光功率调节到8dBm,然后由第一耦合器9将该连续光由其901端口平分到903和904端口,形成顺时针和逆时针运行的两路光。第一耦合器的904端口与第二耦合器的802端口相连。由904端口输出的光有10%的功率经第二耦合的802端口耦合到803端口,与由801端口耦合过来的信号光一起输入到高非线性色散平坦光纤10中,信号光与连续光在高非线性色散平坦光纤10中相互作用,产生交叉相位调制效应,从而改变顺时针运行的连续光的相位,携带有相位信息的顺时针运行的连续光与逆时针运行的连续光,在第一耦合9中相遇,最后将信号光所携带的信号转移到连续光上,调节第三偏振控制器11,使902端口的输出信号最强,并由第一耦合器9的902端口输出,输出光分成两路,一路经滤波器,滤出变换了波长的信号光,再输入到自相关仪13;另一路直接输入到光谱分析仪14。The pulse signal to be converted is amplified by the first erbium-doped
本实施例中所采用的高非线性色散平坦光纤的非线性系数为11(KmW)-1,色散系数:0.5<GVD<1.5ps/km/nm,长度为10m。The high nonlinear dispersion flat fiber used in this embodiment has a nonlinear coefficient of 11 (KmW) -1 , a dispersion coefficient of 0.5<GVD<1.5 ps/km/nm, and a length of 10 m.
本实施例将信号光由波长1560nm变换到1510nm,变换结果如图2-图5所示,其中,图2和图3从频域上说明成功地实现了波长的变换,图4和图5从时域上说明了波长变换的实现,并且可以看出变换速度达到皮秒量级。图5中,信号光经波长变换后,脉冲有所展宽,本领域技术人员可知这仅是由于滤波器的作用;并且,从图3可以看出,变换了波长的信号光功率较强,可以满足通信的要求。In this embodiment, the signal light is converted from a wavelength of 1560nm to 1510nm, and the conversion results are shown in Figures 2-5, wherein Figures 2 and 3 illustrate that the wavelength conversion has been successfully realized in the frequency domain, and Figures 4 and 5 are from In the time domain, the realization of wavelength conversion is explained, and it can be seen that the conversion speed reaches the order of picoseconds. In Fig. 5, after the wavelength conversion of the signal light, the pulse is broadened to some extent, and those skilled in the art know that this is only due to the effect of the filter; Meet the communication requirements.
以上述依据本发明的理想实施例为启示,通过上述的说明内容,相关工作人员完全可以在不偏离本项发明技术思想的范围内,进行多样的变更以及修改。本项发明的技术性范围并不局限于说明书上的内容,必须要根据权利要求范围来确定其技术性范围。Inspired by the above-mentioned ideal embodiment according to the present invention, through the above-mentioned description content, relevant workers can make various changes and modifications within the scope of not departing from the technical idea of the present invention. The technical scope of the present invention is not limited to the content in the specification, but must be determined according to the scope of the claims.
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CN103592805A (en) * | 2013-11-28 | 2014-02-19 | 武汉光迅科技股份有限公司 | Phase modulation signal full-optical wavelength conversion device |
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CN107129931A (en) * | 2017-06-27 | 2017-09-05 | 中国计量科学研究院 | Biomolecule fluorescence detector metrological standard unit and application method |
CN107129931B (en) * | 2017-06-27 | 2023-04-18 | 中国计量科学研究院 | Biomolecule optical detector metering standard device and use method |
CN109211527A (en) * | 2017-07-06 | 2019-01-15 | 住友电气工业株式会社 | Optical fiber output beam profile measurement method and optical fiber output beam profile measuring device |
US11469567B2 (en) | 2020-03-13 | 2022-10-11 | The Board Of Trustees Of The Leland Stanford Junior University | Nonlinear optical devices based on quasi-phase-matched interactions in dispersion-engineered nanophotonics |
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