CN106154589A - The control method of piezoelectric type Polarization Controller system - Google Patents
The control method of piezoelectric type Polarization Controller system Download PDFInfo
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- CN106154589A CN106154589A CN201610542997.2A CN201610542997A CN106154589A CN 106154589 A CN106154589 A CN 106154589A CN 201610542997 A CN201610542997 A CN 201610542997A CN 106154589 A CN106154589 A CN 106154589A
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- G—PHYSICS
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- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/01—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour
- G02F1/0136—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour for the control of polarisation, e.g. state of polarisation [SOP] control, polarisation scrambling, TE-TM mode conversion or separation
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Abstract
Embodiments provide the control method of a kind of piezoelectric type Polarization Controller system.Described method includes: set up the matrix model of piezoelectric type Polarization Controller system；According to described matrix model, described piezoelectric type Polarization Controller system is controlled.The present invention improves the control speed of piezoelectric type Polarization Controller system.
Description
Technical field
The present invention relates to polarization control technology field, particularly relate to the controlling party of a kind of piezoelectric type Polarization Controller system
Method.
Background technology
So far, existing Polarization Controller is all the closed loop control method used, and is by the most defeated
Going out the deviation of polarization state and target polarization state, constantly regulation controls parameter, is allowed to the direction towards deviation reduces and changes gradually convergence
In expectation polarization state, all must measure the value of output polarization state each time before regulation parameter, take a significant amount of time, greatly limit
The speed of Polarization Control.
The design of existing closed-loop type Polarization Controller is: Polarization Controller scheme based on wave plate combined
It has been generally acknowledged that quarter wave plate can be transformed into line polarized light or contrary the polarized light under free position, and half-wave plate
Then can realize the conversion between any two polarization state, so the combination between them can realize Polarization Control.
It is the structure chart of a free space three wave plate Polarization Controller, and it is by two quarter wave plates and a half-wave plate
Forming, the retardation of the most each wave plate is fixed, and relative angle is variable.Control principle is: arbitrary input polarization light is through the
One quarter wave plate becomes line polarized light, and the polarization direction being then passed through half-wave plate now line polarized light can become desired
Polarization direction, the second last quarter wave plate can become desired output polarized light this line polarized light.
This kind of method Application comparison is extensive, but yet suffers from a lot of shortcoming.Such as light is coupled from an optical fiber
Output, then focus it into another root optical fiber, insertion loss can be made to increase, and when the focusing of optical fiber also to spend a lot
Between.
Summary of the invention
The embodiment provides the control method of a kind of piezoelectric type Polarization Controller system, it is possible to increase piezoelectric type
The control speed of Polarization Controller system.
To achieve these goals, this invention takes following technical scheme.
A kind of control method of piezoelectric type Polarization Controller system, including:
Set up the matrix model of piezoelectric type Polarization Controller system；
According to described matrix model, described piezoelectric type Polarization Controller system is controlled.
The described step being controlled described piezoelectric type Polarization Controller system includes:
Obtain the setting output polarization state of described piezoelectric type Polarization Controller system；According to described matrix model, calculate institute
State and set the first magnitude of voltage that output polarization state is corresponding；To described piezoelectric type Polarization Controller system plus described first voltage
Value, so that described piezoelectric type Polarization Controller system exports described setting output polarization state；Or
Obtain the setting output voltage values of described piezoelectric type Polarization Controller system；According to described matrix model, calculate institute
State and set the output polarization state that output voltage values is corresponding, the output polarization state corresponding to estimate described setting output voltage values.
Described piezoelectric type Polarization Controller system includes at least three piezoelectric type Polarization Controller unit；
Each piezoelectric type Polarization Controller unit includes: the piezoelectric micromotor displacement of narrow entrance openings and adjustable power drives
Device, fiber entrance, fiber outlet and outlet；
45 it are staggered into successively between described piezoelectric type Polarization Controller unit.
Described matrix model is:
Wherein, a1～a3It is respectively three coordinate components of vector α, θ1～3It is the 1st～3 piezoelectric type Polarization Controllers respectively
The anglec of rotation of unit.
Described described matrix model carried out initialized step include:
Apply a voltage on a piezoelectric type Polarization Controller unit, obtain the input of described piezoelectric type Polarization Controller unit
Magnitude of voltage and output polarization state corresponding to the described magnitude of voltage of input；
By multiple linear regression method, according to described magnitude of voltage and the corresponding described output polarization state of input, try to achieve
Broad sense principal state of polarization (psp) unit vector；
According to the corresponding relation between the anglec of rotation and voltage, try to achieve the function between the anglec of rotation and voltage, obtain described piezoelectricity
The spin matrix of formula Polarization Controller unit；The described anglec of rotation is that polarization vector is around described broad sense principal state of polarization (psp) unit vector
Rotate institute through over-angle；
Use same procedure, try to achieve the spin matrix of other two piezoelectric type Polarization Controller unit；
According to the spin matrix of described three piezoelectric type Polarization Controller unit, obtain whole piezoelectric type Polarization Controller system
The matrix model of system.
The technical scheme that thered is provided by embodiments of the invention described above it can be seen that in the embodiment of the present invention, opened loop control side
Method is: utilize output polarization state function, it is only necessary to measure output polarization state and Polarization Controller is initialized by magnitude of voltage, add
Upper voltage can obtain required polarization state, it is not necessary to any feedback, it is not required that other complicated algorithm, and therefore it controls speed
Can be greatly improved, reach Microsecond grade.
Aspect and advantage that the present invention adds will part be given in the following description, and these will become from the following description
Obtain substantially, or recognized by the practice of the present invention.
Accompanying drawing explanation
In order to be illustrated more clearly that the technical scheme of the embodiment of the present invention, required use in embodiment being described below
Accompanying drawing be briefly described, it should be apparent that, below describe in accompanying drawing be only some embodiments of the present invention, for this
From the point of view of the those of ordinary skill of field, on the premise of not paying creative work, it is also possible to obtain other according to these accompanying drawings
Accompanying drawing.
The handling process of the control method of a kind of piezoelectric type Polarization Controller system that Fig. 1 provides for the embodiment of the present invention one
Figure；
Fig. 2 is the installation drawing of piezoelectric type Polarization Controller system in the present invention.
Fig. 3 is the structure chart of single PPC unit in the present invention.
Fig. 4 is output polarization state variation track schematic diagram (side view) in poincare sphere in the embodiment of the present invention.
Fig. 5 is output polarization state variation track schematic diagram (front view) in poincare sphere in the embodiment of the present invention.
Fig. 6 is the linear changing relation's figure in the embodiment of the present invention between the anglec of rotation and voltage.
Fig. 7 is the scattergram of the value of theoretical output polarization state and actual output polarization state in the embodiment of the present invention.
Fig. 8 is the polarization state response time schematic diagram of PPC in the embodiment of the present invention.
Detailed description of the invention
Embodiments of the present invention are described below in detail, and the example of described embodiment is shown in the drawings, the most ad initio
Represent same or similar element to same or similar label eventually or there is the element of same or like function.Below by ginseng
The embodiment examining accompanying drawing description is exemplary, is only used for explaining the present invention, and is not construed as limiting the claims.
As it is shown in figure 1, be the control method of a kind of piezoelectric type Polarization Controller system of the present invention, including:
Step 11, sets up the matrix model of piezoelectric type Polarization Controller system；
Wherein, described piezoelectric type Polarization Controller system includes at least three piezoelectric type Polarization Controller unit；
Each piezoelectric type Polarization Controller unit includes: the piezoelectric micromotor displacement of narrow entrance openings and adjustable power drives
Device, fiber entrance, fiber outlet and outlet；
45 it are staggered into successively between described piezoelectric type Polarization Controller unit.
Described matrix model is:
Wherein, a1～a3It is respectively three coordinate components of vector α, θ1～3It is the 1st～3 piezoelectric type Polarization Controllers respectively
The anglec of rotation of unit.
Step 11, including:
Step 111, applies a voltage to, on a piezoelectric type Polarization Controller unit, obtain described piezoelectric type Polarization Controller
The magnitude of voltage of unit input and output polarization state corresponding to the described magnitude of voltage of input；
Step 112, by multiple linear regression method, according to described magnitude of voltage and the corresponding described output polarization of input
State, tries to achieve broad sense principal state of polarization (psp) unit vector；
Step 113, according to the corresponding relation between the anglec of rotation and voltage, tries to achieve the function between the anglec of rotation and voltage, obtains
The spin matrix of described piezoelectric type Polarization Controller unit；The described anglec of rotation is that polarization vector is around described broad sense principal state of polarization (psp)
Unit vector rotates institute through over-angle；
Step 114, the method using step 111-113, try to achieve the rotation of other two piezoelectric type Polarization Controller unit
Matrix；
Step 115, according to the spin matrix of described three piezoelectric type Polarization Controller unit, obtains whole piezoelectric type polarization
The matrix model of controller system.
Step 12, according to described matrix model, is controlled described piezoelectric type Polarization Controller system.
Step 12 includes:
Obtain the setting output polarization state of described piezoelectric type Polarization Controller system；According to described matrix model, calculate institute
State and set the first magnitude of voltage that output polarization state is corresponding；To described piezoelectric type Polarization Controller system plus described first voltage
Value, so that described piezoelectric type Polarization Controller system exports described setting output polarization state；Or
Obtain the setting output voltage values of described piezoelectric type Polarization Controller system；According to described matrix model, calculate institute
State and set the output polarization state that output voltage values is corresponding, the output polarization state corresponding to estimate described setting output voltage values.
The present invention proposes the open loop polarization control method of a kind of piezoelectric polarization controller (PPC).This method is compared to biography
System closed loop control method, Polarization Control speed improves many, has reached Microsecond grade.It is for fiber optic communication, optical fiber measurement, light
The fields such as communication have the most great impact.
The application scenarios of the present invention is below described.
The open-loop control method of the piezo-electric type Polarization Controller of the present invention, constructs the matrix norm of piezo-electric type Polarization Controller
Type, analyzes the principal state of polarization (psp) of broad sense.It addition, invention describes the generalized concept of a kind of principal state of polarization (psp) (psp) to analyze pressure
Electric-type Polarization Controller (PPC), each PPC unit can be described by the spin matrix determined by PSP.
PPC herein is made up of three PPC unit, is each driven by adjustable power supply by a narrow entrance openings and one
Dynamic PZT (piezoelectric actuator) composition, the direction of extrusion of PZT can be 0 °, 45 °, 0 °.Present invention demonstrates all of polarization
The anglec of rotation is linear change relative to driving voltage, and the second unit of PSP is relative to other almost equal unit
It it is nearly orthogonal.By taking some approximate calculation, the present invention establishes the matrix model about driving voltage of PPC.
The mean error of the theoretical model of the present invention is probably at 1.51 °, and the polarization response time, < 50 μ s, met the opened loop control of polarization
Condition.
In Stokes Space, arbitrary polarized component, the most whole PPC of such as PPC unit can be by mueller matrices
Describe.When parameter u is key variables, the PDL (Polarization Dependent Loss) of component is the least (PPC < 0.1dB), this
Bright this mueller matrices can be described as the orthogonal of a 3x3 or spin matrix Μ (u).Therefore the Stokes ginseng inputted
Amount Sin=(sin1,sin2,sin3)TStokes parameter S with outputout=(s1,s2,s3)TAnd matrix Μ (the u) (row of Μ
Column is not equal to 0) it is to meet Sout=Μ (u) Sin's.When the stokes parameter of input is constant, stokes parameter and change
The relation that amount u is met is:
It is hereby achieved that:
BecauseAlways with SoutMeeting orthogonality relation, this means that matrixCan be of equal value
It is a vector operator α, therefore equation (2) can be rewritten as
In above formula,It is a continuous function, so at least there is a Sout, inclined for arbitrarily input
Polarization state (SOP) so thatI.e. output polarization state is constant, this special SoutIt is known as again broad sense polarization main
State.It will be apparent that vector α is one of broad sense PSP.A given unit vector unrelated with u
(wherein, a1～a3It is respectively three coordinate components of vector α) when u changes, the polarization state of all outputs will be withAs rotation
Rotating shaft rotates.So this mueller matrices model can represent with a spin matrix,
Wherein θ is the anglec of rotation about voltage u.
Content as represented by equation (4), now each unit of PPC both corresponds to a spin matrixThis matrix model just becomes
Wherein, i is the sequence number of control unit, and n is total number of control unit.
Fig. 2 is the schematic diagram of the piezoelectric polarization controller system of the present invention.The piezoelectric polarization controller system of the present invention by
Three PPC unit compositions, the direction of extrusion of PZT relative to vertical direction is 0 ° respectively, 45 °, 0 °；It is by regulated power supply control
's.Each PPC unit is made up of an entrance and a PZT (as shown in Figure 3).As seen from the figure, this piezo-electric type polarization control
Simulation structure chart is fairly simple.When the driving voltage of PPC increases, the Stokes vector of output all can be by under computer record
Come.
First, the present invention only applies the voltage on an arbitrary PPC unit such as unit 1, along with voltage increases, and four
Individual different input polarization can cause the change of output polarization state, then measures.All of data are drawn to Fig. 4
(side view) and Fig. 5 (front view) are above.
From this two width, the figure present invention can obtain:
(1) under same input polarization, along with change in voltage, the polarization state of output rotates around same circle；
(2) under different input polarizations, output polarization state rotates around one group of concentric circular along with voltage changes；
(3) especially, when output polarization state is along rotary shaft direction, it no longer changes along with voltage.
Therefore the present invention can obtain a conclusion: when PPC unit is implicitly present in broad sense PSP, its vector place side
To consistent with concentrically ringed rotary shaft, and it is the most unrelated with voltage and input polarization.
Because broad sense PSP direction is the rotary shaft of output polarization state, therefore, it is the total normal of all disks.Choosing
Select a sets of data (data on a disk) to calculate.By using multiple linear regression method, it is assumed that the present invention tries to achieve
Plane equation is-0.8448x+02121y-0.4913z+0.5576=0, so PSP unit vector direction i.e. this plane normal,
I.e.
Subsequently, find the cross point of PSP vector and plane, then obtain the anglec of rotation (angle as in Fig. 6) and voltage it
Between relation.Result drafting pattern 7, indicating the anglec of rotation relative to voltage is linear change.By linear fit, obtain
As coefficient of determination R2When=0.9995, θ1=0.04814u1+0.03912.(wherein, θ1、u1It is first control unit respectively
The anglec of rotation and the voltage of applying).
Using same method, can obtain broad sense PSP unit vector and the anglec of rotation of other PPC unit, result is such as
Under:
(wherein, θ1～3、u1～3It is the anglec of rotation and the voltage of applying of 1～3 control units respectively)
Angle between three PSP is respectively θ12=90.12 °, θ23=90.05 °, θ13=0.41 °, this show unit 1 with
Unit 3 PSP approximation overlap, unit 2 with them all close to vertical.Owing to the fiber distance between squeeze unit is the shortest, can
To ignore the transmission mueller matrices between unit, from equation (5) and (6), the mueller matrices of whole PPC can be expressed as
In order to reduce amount of calculation, take approximate calculation, it is believed thatWith(x-axle),
(y-axle),(z-axis) sets up new coordinate system Ω to observe polarization state change.To arbitrary input polarization, the effect of PPC is
Make output polarization state first around z-axis anglec of rotation θ1, then around x-axle anglec of rotation θ2, finally obtain θ around the z-axis anglec of rotation3.Therefore
PPC model is:
Whereinθi(i=1-3) it is a coefficient about voltage.Above formula is put into
Rectangular coordinate system can obtain:
For the effectiveness of validation matrix model, Random Control Method is used to contrast theoretical output polarization state and reality
Difference between output polarization state (being recorded by polarization analysis instrument).Fig. 8 illustrates partial results.Put down by data analysis
All errors are 0.0264, i.e. the error of 1.51 ° in poincare sphere.
Additionally, by polarization analysis instrument (Thorlabs IPM5300), observed the polarization response time of PPC, Fig. 8 is
Obtained result.Figure indicates output Stokes vector each component s when voltage is undergone mutation1,s2,s3Response.From
Fig. 8 it is seen that, the polarization state response time of PPC is less than 50 μ s, and polarization state is highly stable, and ratio is based on Faraday rotator
The Polarization Controller developed wants fast 20 times.
As can be seen here, open-loop control method herein is: utilize output polarization state function, it is only necessary to measure output polarization state
With magnitude of voltage, Polarization Controller is initialized, add the i.e. available required polarization state of voltage, it is not necessary to any feedback, the most not
Needing other complicated algorithm, therefore its control speed can be greatly improved, and reaches Microsecond grade.Simultaneously for required the most partially
Polarization state, obtains corresponding magnitude of voltage by inverse operation, and the PPC control unit being added separately to correspondence is the most available.Therefore, compared to
Closed loop control method, present configuration is simple and control speed is fast.
Embodiments of the invention are below described.
First, only applying the voltage on an arbitrary PPC unit, along with the change of regulation voltage, four different
Input polarization can cause the change of output polarization state, then measures.By multiple linear regression method, try to achieve broad sense
PSP unit vector.
It follows that according to corresponding relation between the anglec of rotation and voltage in Fig. 6, try to achieve the function between the anglec of rotation and voltage.
So can be obtained by the spin matrix of a PPC unit.
Use same method, try to achieve the spin matrix of other two PPC unit.
There is the spin matrix of these three unit, it is possible to obtain the matrix model of whole PPC system.
The correctness of model can be verified from polarization analysis instrument.Because the method belongs to open loop Polarization Control, only need
It is to be understood that magnitude of voltage and output polarization state, then Polarization Controller is initialized, add that voltage can obtain required polarization
State.Simultaneously, it is possible to calculated the magnitude of voltage of required polarization state by its inverse process, then to controller plus voltage.
The piezoelectric polarization controller of the present invention, is made up of three piezoelectric type Polarization Controller unit, and can be by controllable voltage
The piezoelectric polarization controller of source regulation.Each piezoelectric type Polarization Controller unit by an entrance, piezoelectric actuator,
Fiber entrance, fiber outlet and outlet composition.Interlock successively between three unit of piezoelectric polarization controller at 45 °, i.e.
0 °, 45 °, 0 °.Piezoelectric type Polarization Controller unit is by direct voltage source control, and span of control is 0～200V.Piezoelectric actuator
Model is PSt150/7 × 7/20, and overall dimensions is 7 × 7 × 18 (mm)；Nominal displacement 20 μm；Maximum displacement 30 μm；Maximum pushes away
Power 3500N；Rigidity 120N/ μm；Running voltage 0 150V.Output result can be obtained by polarization analysis instrument, and model used is
The IPM5300 of Thorlabs company.
The piezoelectric polarization controller based on extruding optical fiber type of the opened loop control of the present invention, along with the change piezoelectric micromotor of voltage
Shifter extruding optical fiber, makes optical fiber produce stress birfringence, and then causes the change of fiber polarization.First, the present invention is electricity
Pressure is added on an arbitrary piezoelectric type Polarization Controller unit, change voltage obtain the broad sense PSP vector of this unit with
And the anglec of rotation, thus obtain its spin matrix.Then same method is used to obtain the spin matrix of other two unit, it is possible to
Obtain the matrix model of whole piezoelectric polarization controller, thus obtain output polarization state.Use polarization analysis instrument to check knot
Really, it was demonstrated that error is in allowed band.Its opened loop control is embodied in and need not add complicated feedback, it is only necessary to plus spy
The i.e. available required polarization state of fixed voltage, therefore Polarization Control speed compares closed loop control much faster.The pressure of the present invention
Electricity Polarization Controller, it can export the polarization state under free voltage drives according to the polarization state of input.It is open loop control
System, add that required voltage value i.e. can get desired polarization state.
The method have the advantages that
The piezoelectric type Polarization Controller structure of the present invention is also fairly simple.It can export under free voltage drives
Polarization state, and its inverse process is also highly useful, it is meant that once provided with by driving that simple matrix model obtains
Galvanic electricity pressure, it is possible to obtain preferable output polarization state.Therefore used in present Polarization Control complex feedback will
Can substantially reduce, controlling speed will be obviously improved.The present invention has paved road, at Modern optical communication for polarization opened loop control
Also the breakthrough in Polarization Control speed will be brought with light sensory field.
The insertion loss of the piezoelectric type Polarization Controller of the present invention is low and Polarization Dependent Loss is relatively low, and the two bar
Part just meets the particular/special requirement of backbone transport networks.
The above, the only present invention preferably detailed description of the invention, but protection scope of the present invention is not limited thereto,
Any those familiar with the art in the technical scope that the invention discloses, the change that can readily occur in or replacement,
All should contain within protection scope of the present invention.Therefore, protection scope of the present invention should be with scope of the claims
It is as the criterion.
Claims (5)
1. the control method of a piezoelectric type Polarization Controller system, it is characterised in that including:
Set up the matrix model of piezoelectric type Polarization Controller system；
According to described matrix model, described piezoelectric type Polarization Controller system is controlled.
Method the most according to claim 1, it is characterised in that described described piezoelectric type Polarization Controller system is controlled
The step of system includes:
Obtain the setting output polarization state of described piezoelectric type Polarization Controller system；According to described matrix model, set described in calculating
Determine the first magnitude of voltage that output polarization state is corresponding；Described first magnitude of voltage is added to described piezoelectric type Polarization Controller system, with
Described piezoelectric type Polarization Controller system is made to export described setting output polarization state；Or
Obtain the setting output voltage values of described piezoelectric type Polarization Controller system；According to described matrix model, set described in calculating
Determine the output polarization state that output voltage values is corresponding, the output polarization state corresponding to estimate described setting output voltage values.
Method the most according to claim 1, it is characterised in that
Described piezoelectric type Polarization Controller system includes at least three piezoelectric type Polarization Controller unit；
Each piezoelectric type Polarization Controller unit includes: narrow entrance openings and the piezoelectric actuator of adjustable power drives, light
Fine entrance, fiber outlet and outlet；
45 it are staggered into successively between described piezoelectric type Polarization Controller unit.
Method the most according to claim 1, it is characterised in that described matrix model is:
Wherein, a1～a3It is respectively three coordinate components of vector α, θ1～3It is the 1st～3 piezoelectric type Polarization Controller unit respectively
The anglec of rotation.
Method the most according to claim 1, it is characterised in that described described matrix model is carried out initialized step bag
Include:
Step 11, applies a voltage to, on a piezoelectric type Polarization Controller unit, obtain described piezoelectric type Polarization Controller unit
The magnitude of voltage of input and output polarization state corresponding to the described magnitude of voltage of input；
Step 12, by multiple linear regression method, according to described magnitude of voltage and the corresponding described output polarization state of input, asks
Obtain broad sense principal state of polarization (psp) unit vector；
Step 13, according to the corresponding relation between the anglec of rotation and voltage, tries to achieve the function between the anglec of rotation and voltage, obtains described pressure
The spin matrix of electric-type Polarization Controller unit；The described anglec of rotation is that polarization vector is around described broad sense principal state of polarization (psp) Unit Vector
Amount rotates institute through over-angle；
The method using step 11-13, tries to achieve the spin matrix of other two piezoelectric type Polarization Controller unit；
According to the spin matrix of described three piezoelectric type Polarization Controller unit, obtain whole piezoelectric type Polarization Controller system
Matrix model.
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| CN117193261A (en) * | 2023-10-13 | 2023-12-08 | 华南师范大学 | Polarization controller performance test method, system and device |
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Application publication date: 20161123 |