CN112781840B - A method for measuring the absorption coefficient of few-mode erbium-doped fibers - Google Patents

A method for measuring the absorption coefficient of few-mode erbium-doped fibers Download PDF

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CN112781840B
CN112781840B CN202110008023.7A CN202110008023A CN112781840B CN 112781840 B CN112781840 B CN 112781840B CN 202110008023 A CN202110008023 A CN 202110008023A CN 112781840 B CN112781840 B CN 112781840B
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武保剑
郭浩淼
许焰
江歆睿
文峰
邱昆
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University of Electronic Science and Technology of China
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Abstract

The invention discloses a method for measuring the absorption coefficient of a few-mode erbium-doped fiber, which comprises the steps of measuring the power of signal light and pump light which are input and output to the few-mode erbium-doped fiber under the pumping condition of a fundamental mode fiber to obtain the gain of the fundamental mode signal light and calculate the population inversion number; then changing the power of the pump light, measuring a change curve of gain along with population inversion, and fitting rho according to the curvelGain G when equal to 00Thereby calculating the absorption coefficient of the fundamental mode optical signal; and finally, calculating the mode field distribution of each mode according to the erbium ion concentration and the refractive index distribution of the few-mode erbium-doped fiber, and further calculating the absorption coefficient of the high-order mode signal light of the few-mode erbium-doped fiber according to the measured fundamental mode absorption coefficient.

Description

Method for measuring absorption coefficient of few-mode erbium-doped fiber
Technical Field
The invention belongs to the technical field of optical communication, and particularly relates to a method for measuring the absorption coefficient of a few-mode erbium-doped optical fiber.
Background
At present, based on technologies such as wavelength division multiplexing, polarization multiplexing, multi-level modulation and the like, the transmission capacity of a single optical fiber can reach 100Tbit/s, and the transmission capacity of a Single Mode Fiber (SMF) approaches the Shannon limit. To further increase the transmission capacity of the fiber, it is necessary to utilize a new degree of fiber-spatial mode. The Mode Division Multiplexing (MDM) technology based on few-mode optical fiber has great potential in improving transmission capacity, and is continuously concerned at home and abroad.
The wavelength division multiplexing long-distance transmission system based on the single-mode fiber can not be separated from the traditional erbium-doped fiber amplifier (EDFA); naturally, the long-distance transmission of the Mode Division Multiplexing (MDM) fiber communication also necessarily requires the few-mode EDFA, wherein many parameter information such as the refractive index distribution, doping concentration, absorption coefficient and the like of the adopted few-mode erbium-doped fiber are essential to the design and development of the few-mode EDFA. For example, the absorption loss coefficients of erbium-doped fibers in different modes directly affect the differential-mode gain characteristics of few-mode EDFA systems.
It is known that some parameters are determined during the drawing of erbium-doped fiber, but parameters such as absorption coefficient (related to absorption cross section) of each mode of few-mode erbium-doped fiber are needed to be further measured. Conventionally, the absorption coefficient of an erbium-doped fiber is experimentally measured by an insertion method or a shearing method, and for a few-mode fiber, when a mode optical signal to be tested is injected into the few-mode erbium-doped fiber, other crosstalk modes are usually excited, so that the measurement result of the insertion method is inaccurate. The shearing method causes loss to the optical fiber, which increases the experimental cost, and especially in the present stage, the price of the few-mode erbium-doped optical fiber is very expensive, which is about 30-50 times of that of the single-mode erbium-doped optical fiber. More importantly, the measurement results of these conventional methods further introduce errors due to the absorption effect of erbium ions in the erbium deficient erbium fiber. Therefore, how to accurately measure the absorption coefficient of the used few-mode erbium-doped fiber in the working bandwidth range of the few-mode EDFA becomes a problem to be solved in the design of the few-mode EDFA.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a method for measuring the absorption coefficient of a few-mode erbium-doped fiber.
In order to achieve the above object, the present invention provides a method for measuring the absorption coefficient of a few-mode erbium-doped fiber, which is characterized by comprising the following steps:
(1) completing the power test of the sample fiber;
(1.1) selecting a section of bare fiber with L length and less mode erbium doping as a sample fiber, and welding two ends of the sample fiber with a single-mode tail fiber; then, calculating a mode excitation relation graph between the single-mode tail fiber and the sample fiber according to the refractive index distribution of the single-mode tail fiber and the sample fiber, thereby obtaining the mode coupling efficiency and the crosstalk magnitude;
(1.2) carrying out wavelength division multiplexing on the signal light and the pump light through a single-mode wavelength division multiplexer;
(1.3) injecting single-mode multiplexed light into the 1: in the 99 optical splitter, the optical power of 1% output port is measured by an optical power meter, and the optical power of the signal output from the 99% port is calculated according to the splitting ratio of the optical splitter
Figure BDA0002883833050000025
And pump light power
Figure BDA0002883833050000026
(1.4) injecting the multiplexed light output by the 99% port into the sample fiber through the single-mode tail fiber, and calculating the signal light power injected into the sample fiber according to the mode coupling efficiency and the crosstalk between the single-mode tail fiber and the sample fiber
Figure BDA0002883833050000029
And pump light power
Figure BDA00028838330500000210
(1.5) separating the signal light and the pump by the single-mode wavelength division multiplexer, and measuring the power of the signal light respectively
Figure BDA0002883833050000027
And pump light power
Figure BDA0002883833050000028
Then, calculating the signal light power output by the sample fiber according to the mode coupling efficiency and crosstalk from the sample fiber to the single-mode tail fiber and the insertion loss of the single-mode wavelength division multiplexer
Figure BDA00028838330500000211
And pump light power
Figure BDA00028838330500000212
(2) Calculating the absorption coefficient of a basic mode in the sample fiber;
(2.1) calculating the signal light gain G;
Figure BDA0002883833050000021
(2.2) calculating the inverse particle number ρl
Figure BDA0002883833050000022
Wherein v issAnd vpFrequency of the signal light and the pump light, h is Planck constant, T1Is the relaxation time;
(2.3) changing the pump power input into the sample fiber without changing the optical power of the input signal
Figure BDA0002883833050000023
Then according to the method of the steps (2.1) to (2.2), respectively calculating different pumping powers
Figure BDA0002883833050000024
G and p atlThen drawing G-rholA curve;
(2.4) fitting to obtain G-rholCurve and rholIntercept G of 00Then calculating the base mode LP in the sample fiber01Absorption coefficient of signal light
Figure BDA0002883833050000034
Figure BDA0002883833050000031
(3) And repeating the step (2) to calculate the absorption coefficient of the sample fiber to the pump light
Figure BDA0002883833050000035
(4) Calculating the absorption coefficient of a high-order mode in the sample fiber;
Figure BDA0002883833050000032
wherein N is0Is the concentration of erbium ions in the sample fiber,
Figure BDA0002883833050000033
the normalized mode field distribution of each mode signal light corresponds to a fundamental mode when i is 0, and (x, y) is the abscissa and ordinate of the cross section of the optical fiber.
The invention aims to realize the following steps:
the invention relates to a method for measuring the absorption coefficient of a few-mode erbium-doped fiber, which comprises the steps of measuring the power of signal light and pump light which are input and output to the few-mode erbium-doped fiber under the pumping condition of a fundamental mode fiber to obtain the gain of the fundamental mode signal light and calculate the population inversion number; then changing the power of the pump light, measuring a change curve of gain along with population inversion, and fitting rho according to the curvelGain G when equal to 00Thereby calculating the absorption coefficient of the fundamental mode optical signal; and finally, calculating the mode field distribution of each mode according to the erbium ion concentration and the refractive index distribution of the few-mode erbium-doped fiber, and further calculating the absorption coefficient of the high-order mode signal light of the few-mode erbium-doped fiber according to the measured fundamental mode absorption coefficient.
Meanwhile, the method for measuring the absorption coefficient of the few-mode erbium-doped fiber has the following beneficial effects:
(1) the invention implements measurement when the few-mode erbium-doped fiber is in an optical pumping state, is consistent with the actual working state of the few-mode EDFA, and has more accurate measurement result compared with the traditional method in a passive non-working state.
(2) The measuring system of the invention is composed of single-mode optical devices with lower cost, complex spatial coupling devices or expensive spatial light modulators and the like are not needed, and the method is easy to implement.
(3) The method can complete the measurement of the absorption loss of each mode of the few-mode erbium-doped fiber only by measuring the optical power of a small section of erbium-doped fiber, does not need to cut off the erbium-doped fiber for multiple times for measurement, saves expensive experimental materials for experiments, and has lower experimental cost.
Drawings
FIG. 1 is a flow chart of a method for measuring the absorption coefficient of a few-mode erbium-doped fiber according to the present invention;
FIG. 2 is a diagram of a measurement apparatus for mode loss coefficients of a few-mode erbium-doped fiber;
FIG. 3 is a graph showing the refractive index distributions and mode excitations of G.652 single-mode and erbium-doped fibers to be tested;
FIG. 4 is a diagram of the fundamental mode LP of the fiber01Gain G with inverse particle number ρlMeasurement profile of change.
Detailed Description
The following description of the embodiments of the present invention is provided in order to better understand the present invention for those skilled in the art with reference to the accompanying drawings. It is to be expressly noted that in the following description, a detailed description of known functions and designs will be omitted when it may obscure the subject matter of the present invention.
Examples
FIG. 1 is a flow chart of a method for measuring the absorption coefficient of a few-mode erbium-doped fiber according to the present invention.
In this embodiment, as shown in fig. 1, a method for measuring an absorption coefficient of an erbium-doped fiber with few modes according to the present invention includes the following steps:
s1, welding sample fibers;
in this embodiment, fig. 2 shows a diagram of an apparatus for measuring the absorption coefficient of an erbium-doped fiber with few modes; selecting a section of bare erbium-doped fiber with a length L of 1.9m as a sample fiber, and fusing two ends of the sample fiber with a G.652 single-mode tail fiber together, as shown in fig. 3 (a); the refractive indexes of the single-mode tail fiber and the sample fiber are shown in fig. 3(b), and a mode excitation relation graph between the single-mode tail fiber and the sample fiber is calculated according to the refractive index distribution of the single-mode tail fiber and the sample fiber, so that the mode coupling efficiency and the crosstalk magnitude are obtained;
in this embodiment, the mode excitation relationship between the g.652 single mode and the erbium-doped fiber to be tested is shown in fig. 3(c) and fig. 3(d), wherein fig. 3(c) shows the excitation process of 1550nm wavelength light, and fig. 3(d) shows the 980nm wavelength lightThe erbium-doped fiber adopts fiber core uniform doping, and the doping concentration of erbium ions is N0=9.8184×1024m-3
As can be seen from FIG. 3(a), LP01The coupling loss of the signal light from the single-mode tail fiber to the few-mode erbium-doped fiber or from the few-mode erbium-doped fiber to the single-mode tail fiber is about 1.6 dB; the coupling loss of the input pump light from the single-mode tail fiber to the few-mode erbium-doped fiber is 0.29dB, and the loss of the output pump light from the few-mode erbium-doped fiber to the single-mode tail fiber is 2.8 dB; the additional loss introduced by the other devices is about 0.4 dB.
In addition, the few-mode erbium-doped fiber can be fused with the few-mode tail fiber, and then the information of the mode coupling efficiency and the crosstalk magnitude can be obtained according to a mode excitation relation graph between the few-mode tail fiber and the few-mode tail fiber.
S2, measuring the power of the sample fiber;
s2.1, firstly, according to the measurement requirement, the wavelength of the signal light is set to 1550nm, the wavelength of the pump light is set to 980nm, and the modes are the fundamental mode LP01(ii) a Then, as shown in fig. 2, 1550nm signal light and 980nm pump light are multiplexed and combined by a 1550nm/980nm single-mode wavelength division multiplexer;
s2.2, after the two optical signals are combined, injecting single-mode multiplexing light into the optical fiber 1: in the 99 optical splitter, the optical power of 1% output port is measured by an optical power meter, and the optical power of the signal output from the 99% port is calculated according to the splitting ratio of the optical splitter
Figure BDA0002883833050000051
And pump light power
Figure BDA0002883833050000052
S2.3, injecting the multiplexed light output by the 99% port into the sample fiber through the single-mode tail fiber, and calculating the signal light power injected into the sample fiber according to the mode coupling efficiency and the crosstalk between the single-mode tail fiber and the sample fiber
Figure BDA0002883833050000053
And pump light power
Figure BDA0002883833050000054
S2.4, separating the signal light and the pump by the 1550nm/980nm wavelength division multiplexer, and measuring the power of the signal light respectively
Figure BDA0002883833050000055
And pump light power
Figure BDA0002883833050000056
Then, calculating the signal light power output by the sample fiber according to the mode coupling efficiency and crosstalk from the sample fiber to the single-mode tail fiber and the insertion loss of the single-mode wavelength division multiplexer
Figure BDA0002883833050000057
And pump light power
Figure BDA0002883833050000058
S3, calculating the absorption coefficient of the fundamental mode in the sample fiber;
s3.1, calculating signal light gain G;
Figure BDA0002883833050000059
s3.2, calculating the number rho of inversion particlesl
Figure BDA00028838330500000510
Wherein v issAnd vpThe frequencies of the signal light and the pump light are respectively, and v is takens193.4THz, vp306.1THz, h is Planck's constant, h is 6.62607015 × 10-34,T1For relaxation time, take T1=10ms;
S3.3, changing the pump power input into the sample fiber under the condition of not changing the optical power of the input signal
Figure BDA00028838330500000511
Then, according to the method of the steps S3.1-S3.2, different pumping powers are respectively calculated
Figure BDA00028838330500000512
G and p atlThen, as shown in FIG. 4, G to ρ are plottedlA curve;
s3.4, fitting out G to rholCurve and rholIntercept G of 00The fundamental mode LP in the sample fiber is calculated after-19.71 dB01Absorption coefficient of signal light
Figure BDA00028838330500000513
Figure BDA00028838330500000514
In the present embodiment, it is preferred that,
Figure BDA00028838330500000515
s4, calculating the absorption coefficient of the pump light in the sample fiber according to the method in the step S3
Figure BDA0002883833050000061
S5, calculating the absorption coefficient of the high-order mode in the sample fiber;
Figure BDA0002883833050000062
wherein N is0Is the concentration of erbium ions in the sample fiber,
Figure BDA0002883833050000063
the normalized mode field distribution of each mode signal light corresponds to a fundamental mode when i is 0, and (x, y) is the abscissa and ordinate of the cross section of the optical fiber.
In the present embodiment, according to the measurement to be performedErbium particle concentration N of the sample fiber0And LP11Mode normalization mode field distribution to calculate LP of few-mode erbium-doped fiber pair11The absorption loss coefficient of the mode signal light is
Figure BDA0002883833050000064
Although illustrative embodiments of the present invention have been described above to facilitate the understanding of the present invention by those skilled in the art, it should be understood that the present invention is not limited to the scope of the embodiments, and various changes may be made apparent to those skilled in the art as long as they are within the spirit and scope of the present invention as defined and defined by the appended claims, and all matters of the invention which utilize the inventive concepts are protected.

Claims (2)

1.一种测量少模掺铒光纤吸收系数的方法,其特征在于,包括以下步骤:1. a method for measuring the absorption coefficient of few-mode erbium-doped fiber, is characterized in that, comprises the following steps: (1)、完成样纤的功率测试;(1), complete the power test of the sample fiber; (1.1)、选取一段长度为L的少模掺铒裸纤作为样纤,将样纤两端与单模尾纤熔接在一起;然后,根据单模尾纤和样纤的折射率分布计算出它们之间的模式激发关系图,从而获取模式耦合效率和串扰大小;(1.1) Select a few-mode erbium-doped bare fiber with a length of L as the sample fiber, and fuse the two ends of the sample fiber with the single-mode pigtail; then, according to the refractive index distribution of the single-mode pigtail and the sample fiber, calculate The mode excitation relationship diagram between them, so as to obtain the mode coupling efficiency and crosstalk size; (1.2)、将信号光和泵浦光通过单模波分复用器进行波分复用;(1.2), perform wavelength division multiplexing of signal light and pump light through a single-mode wavelength division multiplexer; (1.3)、将单模的复用光注入到1:99的光分路器中,用光功率计测量1%输出端口的光功率,并按照光分路器的分光比例分别计算99%端口输出的信号光功率
Figure FDA0003228882300000011
和泵浦光功率
Figure FDA0003228882300000012
(1.3) Inject single-mode multiplexed light into a 1:99 optical splitter, measure the optical power of 1% of the output ports with an optical power meter, and calculate 99% of the ports according to the splitting ratio of the optical splitter. Output signal optical power
Figure FDA0003228882300000011
and pump optical power
Figure FDA0003228882300000012
(1.4)、将99%端口输出的复用光通过单模尾纤注入到样纤中,并根据单模尾纤到样纤之间的模式耦合效率和串扰大小计算出注入到样纤的信号光功率
Figure FDA0003228882300000013
和泵浦光功率
Figure FDA0003228882300000014
(1.4) The multiplexed light output by 99% of the ports is injected into the sample fiber through the single-mode pigtail, and the signal injected into the sample fiber is calculated according to the mode coupling efficiency and crosstalk between the single-mode pigtail and the sample fiber Optical power
Figure FDA0003228882300000013
and pump optical power
Figure FDA0003228882300000014
(1.5)、从样纤另一端的单模尾纤输出的复用光,通过单模波分复用器将信号光和泵浦分开,再分别测量信号光功率
Figure FDA0003228882300000015
和泵浦光功率
Figure FDA0003228882300000016
然后,根据样纤到单模尾纤的模式耦合效率和串扰大小,以及单模波分复用器的插入损耗计算样纤输出的信号光功率
Figure FDA0003228882300000017
和泵浦光功率
Figure FDA0003228882300000018
(1.5) The multiplexed light output from the single-mode pigtail at the other end of the sample fiber, separate the signal light and the pump through the single-mode wavelength division multiplexer, and then measure the signal light power respectively
Figure FDA0003228882300000015
and pump optical power
Figure FDA0003228882300000016
Then, according to the mode coupling efficiency and crosstalk size of the sample fiber to the single-mode pigtail, and the insertion loss of the single-mode wavelength division multiplexer, the signal optical power output by the sample fiber is calculated
Figure FDA0003228882300000017
and pump optical power
Figure FDA0003228882300000018
(2)、计算样纤中基模的吸收系数;(2) Calculate the absorption coefficient of the fundamental mode in the sample fiber; (2.1)、计算信号光增益G;(2.1), calculate the signal light gain G;
Figure FDA0003228882300000019
Figure FDA0003228882300000019
(2.2)、计算反转粒子数ρl(2.2), calculate the number of inverted particles ρ l ;
Figure FDA00032288823000000110
Figure FDA00032288823000000110
其中,vs和vp分别为信号光和泵浦光的频率,h为普朗克常数,T1为弛豫时间;where v s and v p are the frequencies of the signal light and pump light, respectively, h is Planck's constant, and T 1 is the relaxation time; (2.3)、在不改变输入信号光功率的情况下,改变输入到样纤中的泵浦光功率
Figure FDA00032288823000000111
然后按照步骤(2.1)-(2.2)的方法,分别计算不同泵浦光功率
Figure FDA00032288823000000112
下的G和ρl,然后绘制出G~ρl曲线;
(2.3) Change the pump optical power input into the sample fiber without changing the input signal optical power
Figure FDA00032288823000000111
Then, according to the method of steps (2.1)-(2.2), calculate the different pump optical powers respectively
Figure FDA00032288823000000112
G and ρ l below, and then draw the G~ρ l curve;
(2.4)、拟合出G~ρl曲线与ρl=0的截距G0,然后计算出样纤中基模LP01信号光的吸收系数
Figure FDA0003228882300000021
(2.4), fit the G~ρ l curve and the intercept G 0 of ρ l =0, and then calculate the absorption coefficient of the fundamental mode LP 01 signal light in the sample fiber
Figure FDA0003228882300000021
Figure FDA0003228882300000022
Figure FDA0003228882300000022
(3)、重复(2)计算出样纤对于泵浦光的吸收系数
Figure FDA0003228882300000023
(3), repeat (2) to calculate the absorption coefficient of the sample fiber for the pump light
Figure FDA0003228882300000023
(4)、计算样纤中高阶模式的吸收系数;(4) Calculate the absorption coefficient of high-order modes in the sample fiber;
Figure FDA0003228882300000024
Figure FDA0003228882300000024
其中,N0为样纤中的铒离子浓度,
Figure FDA0003228882300000025
为各模式信号光的归一化模场分布,当i=0时对应于基模,(x,y)为光纤横截面的横纵坐标。
Among them, N 0 is the erbium ion concentration in the sample fiber,
Figure FDA0003228882300000025
is the normalized mode field distribution of the signal light of each mode, when i=0, it corresponds to the fundamental mode, and (x, y) is the abscissa and ordinate of the fiber cross section.
2.根据权利要求1所述的一种测量少模掺铒光纤吸收系数的方法,其特征在于,所述单模尾纤用少模尾纤替换。2 . The method for measuring the absorption coefficient of a few-mode erbium-doped fiber according to claim 1 , wherein the single-mode pigtail is replaced with a few-mode pigtail. 3 .
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