CN113435596B - Micro-ring resonant wavelength searching method based on differential evolution - Google Patents

Micro-ring resonant wavelength searching method based on differential evolution Download PDF

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CN113435596B
CN113435596B CN202110666250.9A CN202110666250A CN113435596B CN 113435596 B CN113435596 B CN 113435596B CN 202110666250 A CN202110666250 A CN 202110666250A CN 113435596 B CN113435596 B CN 113435596B
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冯元华
田华麟
黄剑文
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Abstract

The invention discloses a differential evolution-based micro-ring resonance wavelength searching method, which comprises global coarse searching and local fine searching, wherein the steps of the coarse searching and the fine searching are the same, and the initial conditions and the quitting judgment conditions are different; the coarse search and the fine search comprise the following steps: s1, initializing the population, setting the number of population individuals, initializing the heating power corresponding to each individual, collecting the output power values of the micro-ring straight-through end corresponding to all the individuals in the initialized population, and setting the power threshold of the straight-through end; s2, generating new parameters through mutation operation; s3, crossover operation; s4, collecting the straight end power values of all individuals in the population; s5, selecting operation, namely comparing the straight-through end power values of the current population and the previous generation population and selecting the latest generation population; and S6, judging whether the termination condition is met. The invention uses the differential evolution algorithm for the resonant wavelength search in the wavelength locking process of the micro-ring resonant cavity, reduces the search times and improves the search precision and speed.

Description

Micro-ring resonant wavelength searching method based on differential evolution
Technical Field
The invention belongs to the technical field of resonant wavelength searching, and particularly relates to a differential evolution-based micro-ring resonant wavelength searching method.
Background
Due to the spectral selectivity, compact floor area and low power consumption, the micro-ring is applied to a plurality of fields such as lasers, filters, switches, modulators, wavelength multiplexers/demultiplexers and the like in the field of photonic integration. After the light wave enters the micro-ring through coupling, the light wave continues to propagate along the annular waveguide, and if the phase change amount of the light wave around the ring is exactly integral multiple of 2 pi or the optical path is exactly integral multiple of optical wavelength lambda, the light wave can generate coherent enhancement in the ring. Light that does not meet this condition will be output directly from the straight end of the straight waveguide due to the inability to coherently enhance within the cavity. The wavelength corresponding to the straight-through end power lowest point is the resonance wavelength of the micro-ring.
Since the ambient temperature and the laser operating wavelength are unknown and uncertain, and the relationship between the resonance wavelength of the initial state of the micro-ring and the operating wavelength is unknown, it is necessary to search for the resonance wavelength by heating the micro-ring and monitoring the optical power at the through end. The commonly used thinking is: and accumulating the heating power successively by a certain step length, recording the optical power value of the straight-through end after each heating, and comparing the recorded optical power values to obtain the minimum value, wherein the heating power corresponding to the minimum value is the current optimal heating power for matching the resonant wavelength with the working wavelength. The process of searching for the optimum heating power is also the process of searching for the resonance wavelength.
The resonant wavelength search is realized by gradually scanning the heating power, and the speed and the precision of the scanning search are contradictory because the 3dB bandwidth of the resonant peak is narrow, and the wavelength interval (namely FSR) of the resonant peak is wide. That is, if the search step size is small, although higher accuracy can be achieved, it takes longer; if the search step size is too large, although the scanning time can be saved, it may result in that the resonant wavelength is not searched or the accuracy of the searched resonant peak wavelength is low. Therefore, the existing global scanning algorithm cannot meet the requirement of photonic device wavelength locking based on micro-ring design in terms of both precision and speed.
Disclosure of Invention
The invention mainly aims to overcome the defects of the prior art and provides a micro-ring resonant wavelength searching method based on differential evolution, wherein a differential evolution algorithm is used for global searching of micro-ring wavelength locking, dynamic searching step length can be realized, searching times are reduced, searching precision and speed are improved, and pain points of low speed and low precision of the existing scanning searching algorithm are solved.
In order to achieve the purpose, the invention adopts the following technical scheme:
a micro-ring resonance wavelength searching method based on differential evolution comprises global coarse searching and local fine searching, wherein the coarse searching and the fine searching both adopt a differential evolution algorithm and have the same steps, and the initial conditions and the quitting judgment conditions are different; the coarse search and the fine search comprise the following steps:
S1, initializing a population, setting the number of population individuals, initializing the heating power corresponding to each individual, collecting the output power values of the straight-through ends of the micro-rings corresponding to all the individuals in the initialized population, and setting a straight-through end power threshold;
s2, generating new parameters through mutation operation;
s3, performing crossover operation to increase the diversity of interference parameter vectors;
s4, collecting the straight end power values of all individuals in the population;
s5, selecting operation, namely comparing the straight-through end power values of the current population and the previous generation population and selecting the latest generation population;
and S6, judging whether a termination condition is met, calculating the difference value of the power values of the straight-through ends of all the current population and the previous generation population, if the difference value is larger than the straight-through end power threshold set in the step S1, terminating the search, and otherwise, skipping to the step S2.
Further, global coarse search is used for searching the approximate position of the resonance peak value, and as the power of the resonance peak is obviously lower than that of other positions, a larger threshold difference can be set so as to reduce the search times;
and local fine search, namely after finding out the approximate position of the resonance peak, accurately searching in a smaller range according to the preset width of the resonance peak, and setting a smaller threshold difference at the moment, thereby realizing higher-precision search.
Further, the initial condition, the search range of the fine search is determined by the result of the coarse search;
the exit judgment condition of the rough search is to judge whether the power difference value of the straight-through ends of two adjacent generations is greater than a set threshold value U h1 The exit condition of the fine search is to judge whether the power of the current generation straight-through end is smaller than a set threshold value U h2
Further, step S1 is specifically:
setting the number of population individuals as N, and initializing the heating power P corresponding to the N individuals (t,j)
Wherein, the heating power is represented by P, and P is the input of the micro-ring system to be tested;
the output optical power of the collected straight-through end of the micro-ring is represented by U, and the U is the output of the micro-ring system to be tested;
collecting straight-through end power values U of all individuals in the initialized population (1,j) ,U (1,j) Represents the straight-through optical power of the 1 st generation and the j th individuals;
setting a through terminal power threshold U h
Further, step S2 is specifically:
randomly selecting two different members P in the current heating power population (t,x) And P (t,y) Performing difference operation, weighting the obtained difference, and comparing the weighted difference with a third randomly selected member P (t,z) Add up to vary the j th individual heating power P in the new population (t+1,j) The specific calculation formula is as follows:
P (t+1,j) ={P (t,x) +F*[P (t,y) -P (t,z) ]}
wherein the number of individuals in the t +1 th generation population is the same as that of the t generation population, and all the individuals in the new generation population are obtained by the calculation of the formula; f is a mutation operator, the value range F belongs to [0, 2], the amplification proportion of the deviation vector is determined by F, the capability of preventing the algorithm from entering local optimum is enhanced when the value of F is increased, and the speed of converging the algorithm to the optimum value is slowed down if the value of F is overlarge.
Further, the specific calculation manner of step S3 is as follows:
Figure BDA0003116931940000041
wherein, the subscript j represents the jth individual in the heating power population, rand is random number taking operation, CR is a crossover operator, the value range is CR belongs to [0, 1], CR controls the selection of new variant heating power or original heating power according to the experimental vector parameters, and D is the dimension of a variable.
Further, step S4 is specifically:
collecting the straight-through end power values, U, of all individuals in the current population (t,j) The optical power of the tth generation and the jth individual straight-through end; the direct-through end power acquisition period is related to the system response speed of the device, and the direct-through end power acquisition period adopts a fixed value due to the small volume of the micro-ring, the small inertia and the high response speed of the heating system.
Further, step S5 is specifically:
comparing the power values of the straight-through ends of the current population and the previous generation population, if U is detected (t,j) Less than U (t-1,j) Then receive U (t,j) The corresponding heating power is the new generation heating power value P (t+1,j) Otherwise, protectThe heating power is kept unchanged.
Further, step S6 is specifically:
calculate all U (t,j) And U (t-1,j) If the difference is greater than the threshold value U set in step S1 h The search is terminated, otherwise it jumps to step S2.
Compared with the prior art, the invention has the following advantages and beneficial effects:
1. The invention applies a differential evolution algorithm to the resonant wavelength search in the micro-ring wavelength locking, the population individuals correspond to the heating power in the micro-ring specific wavelength search range (1 time FSR), the micro-ring straight-through end optical power is taken as the objective function of population evolution, and through gradual evolution iteration, higher wavelength search precision can be realized with fewer heating times.
2. The method provided by the invention is not only suitable for the thermo-optic modulation search occasion based on the micro-ring, but also suitable for other photonic devices such as the thermo-optic modulation occasion of MZI.
Drawings
FIG. 1 is a flow chart of the method of the present invention;
FIG. 2 is a through end transmission spectrum plot;
FIG. 3 is a histogram of simulation experiment heating times;
fig. 4 is a histogram of the minimum number of occurrences obtained in the simulation experiment.
Detailed Description
The present invention will be described in further detail with reference to examples and drawings, but the present invention is not limited thereto.
Examples
The method uses the differential evolution algorithm for the resonant wavelength search in the wavelength locking process of the micro-ring resonant cavity, reduces the search times, improves the search precision and speed, and can realize the resonant wavelength search with higher precision only by heating times of about 1/4 compared with the traditional scanning search method.
With the gradual increase of the heating power, the resonance wavelength of the micro-ring can shift to the right, as shown in fig. 2, when the resonance wavelength moves to the target wavelength, the straight-through end optical power value is minimum; by increasing or decreasing the heating power, the resonant wavelength will continue to shift to the right or left, the resonant wavelength will be out of alignment with the target wavelength, and the value of the through-port optical power will increase. In other words, the through-port optical power value is kept at a minimum level throughout the process only when the resonant wavelength and the target wavelength are aligned. The invention provides a differential evolution algorithm applied to global search, aiming at searching the optimal heating power corresponding to the minimum value of a straight-through end.
The searching process is divided into two steps, the first step is global coarse searching, the target is to search the approximate position of the resonance peak value, and as the power of the resonance peak is obviously lower than that of other positions, a larger threshold value difference can be set so as to reduce the searching times; and the second step is local fine search, after the approximate position of the resonance peak is found out, the accurate search is carried out in a smaller range according to the preset width of the resonance peak, and at the moment, a smaller threshold difference is set, so that the search with higher precision is realized. The two-step search in the invention adopts a differential evolution algorithm, the two-step search mainly has different initial conditions and exit judgment conditions, and the processes are completely the same.
In this embodiment, the initial condition, the search range of the fine search, is determined by the result of the coarse search;
the quitting judgment condition is used for rough search and comparison, whether the power difference value of the straight-through ends of two adjacent generations is larger than the set straight-through end power threshold value U or not h1 The exit condition of the fine search is to judge whether the power of the current generation straight-through end is smaller than a set threshold value U h2
As shown in fig. 1, the detailed flow of the two-step search is as follows:
s1, initializing the population, setting the number of population individuals as N, and initializing the heating power P corresponding to the N individuals (t,j) The heating power is represented by P, and P is the input of the micro-ring system to be tested; the output optical power of the collected straight-through end of the micro-ring is represented by U, and the U is the output of the micro-ring system to be tested; collecting straight-through end power values U of all individuals in the initialized population (1,j) The optical power of the 1 st generation and j th individuals is expressed; setting a through terminal power threshold U h
S2, generating new parameters through mutation operation, and randomly selecting two different members P in the current heating power population (t,x) And P (t,y) Performing difference operation, weighting the obtained difference, and comparing the weighted difference with a third randomly selected member P (t,z) Add up to vary the j th individual heating power P in the new population (t+1,j) The specific calculation formula is as follows, but the mutation operation is not limited to the following formula:
P (t+1,j) ={P (t,x) +F*[P (t,y) -P (t,z) ]}
wherein the number of individuals in the t +1 th generation population is the same as that of the t generation population, and all the individuals in the new generation population are obtained by the calculation of the formula;
wherein, F is a mutation operator, and its value range is F ∈ [0, 2], which determines the amplification ratio of the offset vector, and when the F value increases, the ability of preventing the algorithm from entering the local optimum is enhanced, but if the F value is too large, the speed of the algorithm converging to the optimum value becomes slow, and the value F is usually 0.5.
S3, interleaving, in order to increase the diversity of interference parameter vectors, defining one of the following calculation methods, but not limited to the following:
Figure BDA0003116931940000071
wherein, subscript j represents the jth individual in the heating power population, rand is random number taking operation, GR is a cross operator with the value range of GR being equal to 0, 1, the cross operator controls the experimental vector parameters to select new variant heating power or original heating power, generally GR is 0.1, and D is the dimension of a variable;
s4, collecting the straight-through end power values of all individuals in the current population, namely, expressing the values as U (t,j) The optical power of the tth generation and the jth individual straight-through end; the through end power acquisition period is related to the system response speed of the device, and the micro-ring has small volume, so that the heating system has small inertia and high response speed, and the through end power The acquisition period can adopt a fixed value;
s5, selecting, comparing the straight-through end power values of the current population and the previous generation population, if U is (t,j) Less than U (t-1,j) Then receive U (t,j) The corresponding heating power is the new generation heating power value P (t+1,j) Otherwise, keeping the heating power unchanged;
s6, judging whether the termination condition is met: calculate all U (t,j) And U (t-1,j) If the difference is greater than the threshold value U set in step S1 h The search is terminated, otherwise it jumps to step S2.
The invention carries out simulation experiment on the whole resonant wavelength searching process based on the differential evolution algorithm. The heating times in the whole search process and the searched resonance peak error are used as evaluation indexes, 1000 times of simulation calculation experiments are carried out, and the results of the simulation experiments are shown in fig. 3 and 4. As can be seen from the histogram of fig. 3, basically, 400 heats are required at most to search for the required optimum power, and the probability of heating occurring about 100 times is high, and the total average heating number is about 130 times. As can be seen from the histogram of FIG. 4, the accuracy of the resonant peak wavelength obtained by searching can reach + -3 pm.
Compared with the traditional wavelength scanning search scheme, in the range of 10nm of the wavelength interval of the resonance peak, if the accuracy of scanning and searching the resonance peak is required to be 10pm, the average heating times required by the scanning and searching method is 500 times in probability, and the accuracy of the searched wavelength of the resonance peak is +/-5 pm.
Therefore, in comparison, compared with the traditional scanning search method, the two-step differential evolution search method provided by the invention can realize higher-precision resonant wavelength search only by heating times of about 1/4.
It should also be noted that in this specification, terms such as "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (8)

1. A micro-ring resonance wavelength searching method based on differential evolution is characterized by comprising global coarse searching and local fine searching, wherein the coarse searching and the fine searching both adopt a differential evolution algorithm and have the same steps, and the initial conditions and the quitting judgment conditions are different; the initial condition, the search range of the fine search is determined by the result of the coarse search;
the exit judgment condition of the rough search is to judge whether the power difference value of the straight-through ends of two adjacent generations is greater than a set threshold value U h1 The exit condition of the fine search is to judge whether the power of the current generation straight-through end is smaller than a set threshold value U h2
The coarse search and the fine search comprise the following steps:
s1, initializing a population, setting the number of population individuals, initializing the heating power corresponding to each individual, collecting the power values of the straight-through ends of the micro-rings corresponding to all the individuals in the initialized population, and setting the power threshold of the straight-through ends;
s2, generating new parameters through mutation operation;
s3, performing crossover operation to increase the diversity of interference parameter vectors;
s4, collecting the straight end power values of all individuals in the population;
s5, selecting operation, namely comparing the straight-through end power values of the current population and the previous generation population and selecting the latest generation population;
And S6, judging whether the termination condition is met, calculating the difference value of the power values of the through ends of all the current populations and the previous generation population, terminating the search if the difference value is greater than the power threshold value of the through end set in the step S1, and otherwise, skipping to the step S2.
2. The differential evolution-based micro-ring resonant wavelength searching method as claimed in claim 1, wherein the global coarse search is used to search the approximate position of the resonant peak, and since the resonant peak power is lower than other positions, the threshold difference is set to reduce the number of searches;
and local fine search, namely after finding out the approximate position of the resonance peak, accurately searching in a smaller range according to the preset width of the resonance peak, and setting a threshold difference at the moment so as to realize higher-precision search.
3. The differential evolution-based micro-ring resonant wavelength searching method according to claim 1, wherein the step S1 specifically comprises:
setting the number of population individuals as N, and initializing the heating power P corresponding to the N individuals (t,j)
Wherein, the heating power is represented by P, and P is the input of the micro-ring system to be tested;
the output optical power of the collected straight-through end of the micro-ring is represented by U, and the U is the output of the micro-ring system to be tested;
Collecting straight-through end power values U of all individuals in the initialized population (1,j) ,U (1,j) Represents the straight-through optical power of the 1 st generation and the j th individuals;
setting a through terminal power threshold U h
4. The differential evolution-based micro-ring resonant wavelength searching method according to claim 3, wherein the step S2 specifically comprises:
randomly selecting two different members P in the current heating power population (t,x) And P (t,y) Performing difference operation, weighting the obtained difference, and comparing the weighted difference with a third randomly selected member P (t,z) Add up to vary the j th individual heating power P in the new population (t+1,j) The specific calculation formula is as follows:
P (t+1,j) ={P (t,z) +F*[P (t,x) -P (t,y) ]}
wherein the number of individuals in the t +1 th generation population is the same as that of the t generation population, and all the individuals in the new generation population are obtained by the calculation of the formula; f is a mutation operator, the value range F belongs to [0,2], the amplification proportion of the deviation vector is determined by F, the capability of preventing the algorithm from entering local optimum is enhanced when the value of F is increased, and the speed of converging the algorithm to the optimum value is slowed down if the value of F is overlarge.
5. The differential evolution-based micro-ring resonance wavelength searching method according to claim 4, wherein the step S3 is specifically calculated as follows:
Figure FDA0003609274380000021
wherein, the subscript j represents the jth individual in the heating power population, rand is random number taking operation, CR is a crossover operator, the value range is CR belongs to [0,1], CR controls the selection of new variant heating power or original heating power according to the experimental vector parameters, and D is the dimension of a variable.
6. The differential evolution-based micro-ring resonant wavelength searching method according to claim 5, wherein the step S4 specifically comprises:
collecting the straight-through end power values, U, of all individuals in the current population (t,j) The optical power of the tth generation and the jth individual straight-through end; the direct-through end power acquisition period is related to the system response speed of the device, and the direct-through end power acquisition period adopts a fixed value due to the small volume of the micro-ring, the small inertia and the high response speed of the heating system.
7. The differential evolution-based micro-ring resonant wavelength searching method according to claim 6, wherein the step S5 specifically comprises:
comparing the power values of the straight-through ends of the current population and the previous generation population, if U is detected (t,j) Is less than U (t-1,j) Then receive U (t,j) The corresponding heating power is the new generation heating power value P (t+1,j) Otherwise, the heating power is kept unchanged.
8. The differential evolution-based micro-ring resonant wavelength searching method according to claim 6, wherein the step S6 specifically comprises:
calculate all U (t,j) And U (t-1,j) If the difference is greater than the threshold value U set in step S1 h The search is terminated, otherwise it jumps to step S2.
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