CN105353471B - A kind of optical switch matrix and its route control method - Google Patents
A kind of optical switch matrix and its route control method Download PDFInfo
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- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/24—Coupling light guides
- G02B6/26—Optical coupling means
- G02B6/35—Optical coupling means having switching means
- G02B6/354—Switching arrangements, i.e. number of input/output ports and interconnection types
- G02B6/3544—2D constellations, i.e. with switching elements and switched beams located in a plane
- G02B6/3546—NxM switch, i.e. a regular array of switches elements of matrix type constellation
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Abstract
A kind of optical switch matrix and its route control method, belong to photoelectron and optical communication device, and solving existing waveguide optical switch matrix can not achieve Multicast function, or the structured asymmetry of tool, can not achieve two-way clog-free transmission and the problem of structure is complicated.N × N optical switch matrix of the invention is connected and composed by N × N number of Mach of increasing Dare interferometer, and it includes the first, second waveguide and leading portion, back segment metallic film that the Mach, which increases Dare interferometer,；The route control method of N × N optical switch matrix calculates transmission matrix S by single MZI and determines the value of each matrix unit in S according to desired transmission path, so that it is determined that single Mach increases the state of a control of Dare interferometer.The unicast, multicast or transmitted in both directions of optical signal may be implemented in optical switch matrix of the invention, reduces the complexity of structure, and have nonblocking performance；The route control method of this optical switch matrix can only calculate the route test information of unicast and multicast with a transmission matrix.
Description
Technical field
The invention belongs to photoelectron and optical communication devices, and in particular to a kind of optical switch matrix and its route control method.
Background technique
With the fast development of optical communication system and the proposition of close wavelength-division multiplex technology, optical switch matrix becomes optic communication
The vital element in one, field, can be as requested by the light path converting on a channel to another optical path.Therefore, light
Switch matrix, which has, solves route conflict, and damage channel is repaired and the functions such as route switching.Existing optical switch matrix type has
Very much, such as micro-electro-mechanical optical switches, thermo-optical switch, liquid crystal optical switch, holographic optical switch etc..Because waveguide optical switch is with no shifting
The advantages that dynamic component, stability is high, transmission loss is low, integrated level is high, when constructing optical switch matrix, receive great attention
And research.
There are two types of existing waveguide optical switch matrixes: first, the Mach using 2 seed types increases Dare interferometer (Mach-
Zehnder Interferometer, MZI) building optical switch matrix, but structure is complicated for such mode, and due to structure
Asymmetry, therefore can only realize unidirectional Multicast function；It uses two kinds of photoswitch, and failing to provide one kind can be with
Calculate the algorithm of exchanged form.Second, some increase Dare interferometer (MZI) structure or other of the same race using same kind Mach
The optical switch matrix that type element is constituted, structure can be only done a kind of phase-modulation, realize straight-through or interleaving function, i.e., in fact
Existing unicast fashion, cannot complete multicast type.
Summary of the invention
The present invention provides a kind of optical switch matrix, while providing its route control method, solves existing waveguide optical switch square
Battle array can not achieve Multicast function, or have structured asymmetry using the MZI of multiple and different types, can not achieve two-way nothing
Blocks transmission and the problem of structure is complicated.
A kind of N × N optical switch matrix provided by the present invention passes through single mode waveguide by N × N number of Mach of increasing Dare interferometer
It connects and composes, N >=2, it is characterised in that:
It includes first wave guide, second waveguide, leading portion metallic film, back segment metallic film that the Mach, which increases Dare interferometer,
The first wave guide and second waveguide are arranged in parallel, and then sequentially form front end three-dB coupler, rear end three-dB coupler, institute from preceding
It states part of the first wave guide between front end three-dB coupler and rear end three-dB coupler and successively wraps up leading portion metallic film, back segment
Metallic film constitutes Mach and increases Dare interferometer；First wave guide, second waveguide head end respectively as Mach increase Dare interferometer
A input terminal, b input terminal, first wave guide, second waveguide tail end respectively as Mach increase Dare interferometer c output end, d
Output end；
Leading portion metallic film, back segment metallic film packages length in first wave guide are equal, and thickness is identical, therefore are applying
In the case where identical voltage, as the variation of light phase caused by leading portion metallic film, back segment metallic film region；
N × N number of Mach of increasing Dare interferometer constitutes N × N optical switch matrix of N row N column, connection type are as follows:
(1) when N is odd number,
When j≤(N-1)/2,
When j > (N-1)/2,
(2) when N is even number,
When j < N/2,
When j=N/2,
When j > N/2,
In above-mentioned each expression formula, "=" number indicates to interconnect, aij、bij、cij、dijIt respectively indicates i-th in optical switch matrix
Row jth column Mach increase Dare interferometer a input terminal, b input terminal, c output end, d output end, row serial number i=1,2 ..., N,
Column serial number j=1,2 ..., N.
The route control method of N × N optical switch matrix, which is characterized in that include the following steps:
Step 1: providing the matrix expression that single Mach increases Dare interferometer MZI:Output
Interface matrixI is the row serial number of optical switch matrix, i=1,2 ... N；, j is the column of optical switch matrix
Serial number, j=1,2 ... N；
Aij、BijValue is 1 or 0,It respectively indicates to Aij、BijIt negates；
aij、bij、cij、dijRespectively indicate the i-th row in optical switch matrix, a input for the Mach increasing Dare interferometer that jth arranges
End, b input terminal, c output end, d output end；
Step 2: calculating transmission matrix S, S=ENF(N-1)(N-1)EN-1…Ej+1FjjEj…E1,
Wherein EjFor j-th stage node matrix equation, interconnection matrix FjjBetween+1 grade of node matrix equation of j-th stage node matrix equation and jth
Connection matrix；M be node matrix equations at different levels, in interconnection matrix and transmission matrix S matrix unit row serial number, m=1,2 ..., 2N,
N is the column serial number of matrix unit, n=1,2 ..., 2N；
E1For 2N row N column matrix, E1M=2i-1 row, n=i column element be Ai1, the member of m=2i row, n=i column
Element is Bi1, represent the MZI of the i-th row in optical switch matrix, the 1st column；Space element is 0 in matrix；
EjFor 2N row 2N column matrix, EjM=2i-1 row, n=2i-1 column element be Aij, m=2i-1 row, n=
2i column element beThe element that m=2i row, n=2i-1 are arranged is Bij, m=2i row, n=2i column element areLight is represented to open
Close the MZI of the i-th row in matrix, jth column, j ≠ 1, N；Space element is 0 in matrix；
ENFor N row 2N column matrix.ENM=i row, n=2i-1 column element be Aij, the member of m=i row, n=2i column
Element isRepresent the MZI of the i-th row of optical switch matrix, Nth column；Space element is 0 in matrix；
For interconnection matrix Fjj:
(1) when N is odd number,
When j≤(N-1)/2,
As m≤N, the element that m row, n-th=2m-1 are arranged is 1；As m > N, the element that m row, n-th=2m-2N are arranged is
1；Space element is 0 in matrix；
When j > (N-1)/2,
When m is odd number, m row, the element of n-th=(m+1)/2 column is 1；When m is even number, m row, n-th=N+m/
2 column elements are 1；Space element is 0 in matrix；
(2) when N is even number,
When j < N/2,
As m≤N, the element that m row, n-th=2m-1 are arranged is 1；As m > N, the element that m row, n-th=2m-2N are arranged is
1；Space element is 0 in matrix；
When j=N/2,
When j > N/2,
When m is odd number, m row, the element of n-th=(m+1)/2 column is 1；When m is even number, m row, n-th=N+m/
2 column elements are 1；Space element is 0 in matrix；
Node matrix equations at different levels and interconnection matrix are substituted into transmission matrix S:
S is N × N rank matrix, smnIt is the matrix unit of m row in transmission matrix S, n column, and about Aij、BijExpression
Formula；
Step 3: transmission matrix S is substituted into following formula:
(c1Nc2N…ciN…cNN) T=S × (a11a21…ai1…aN1) T,
ai1For the i-th row of optical switch matrix, a input terminal of the 1st column MZI；ciNFor optical switch matrix the i-th row, Nth column MZI
C output end, i=1,2 ... N,
Acquire ciN=sm1×a11+sm2×a21+…smn×ai1…+smN×aN1,
The value of m is identical as the value of footmark i of c output end, and the value of n and the value of footmark i of a input terminal are identical；
According to desired transmission path, i.e. which ai1The signal of input terminal is from which ciNOutput end output, coefficient of correspondence smn
It is 1, is otherwise 0, determines each matrix unit s of transmission matrix SmnValue；Each A can be found outij、BijValue, so that it is determined that
MijThat is the state of a control of the single Mach increasing Dare interferometer of optical switch matrix.
The present invention optimizes the structure of existing MZI first, and thus MZI is connected by single mode waveguide, constitutes N × N light and opens
Matrix is closed, this N × N optical switch matrix not only may be implemented optical signal from the unicast for being transformed into another way all the way, also may be implemented
From being transformed into the multicasting mode that in addition several roads are transmitted all the way, due to the symmetry of optical switch matrix, can also realize input with it is defeated
The unicast and multicast output to input port also may be implemented in the exchange of exit port, i.e. output port, realizes transmitted in both directions, structure
On lacked level-one matrix, reduce the complexity of structure, and there is nonblocking performance.Meanwhile giving this N × N photoswitch
The route control method of matrix, provides the matrix expression of single MZI, calculates transmission matrix S, according to desired transmission path,
The value of each matrix unit in transmission matrix S is determined, so that it is determined that single Mach increases the state of a control of Dare interferometer, only with one
A transmission matrix can calculate the route test information of unicast and multicast.
Detailed description of the invention
Fig. 1 is MZI structural schematic diagram of the invention；
Fig. 2 (A) is that MZI of the present invention leads directly to functional schematic；
Fig. 2 (B) MZI interleaving function schematic diagram of the present invention；
Road Multicast function schematic diagram on Fig. 2 (C) MZI of the present invention；
Road Multicast function schematic diagram under Fig. 2 (D) MZI of the present invention；
Fig. 3 is 4 × 4 optical switch matrix structural schematic diagram provided in an embodiment of the present invention；
Fig. 4 is the transmission path schematic diagram of 1:3 multicast provided in an embodiment of the present invention.
Specific embodiment
The present invention is further described below in conjunction with drawings and examples.
4 × 4 optical switch matrix of one kind provided by the embodiment of the present invention increases Dare interferometer by 4 × 4 Mach and passes through list
Mould waveguide connects and composes；
As shown in Figure 1, it includes first wave guide W1, second waveguide W2, leading portion metallic film that the Mach, which increases Dare interferometer,
T1, back segment metallic film T2, the first wave guide W1 and second waveguide W2 are arranged in parallel, certainly preceding then to sequentially form front end 3dB
Coupler C1, rear end three-dB coupler C2, the first wave guide W1 be located at front end three-dB coupler C1 and rear end three-dB coupler C2 it
Between part successively wrap up leading portion metallic film T1, back segment metallic film T2, constitute Mach and increase Dare interferometer；First wave guide
W1, second waveguide W2 head end respectively as Mach increase Dare interferometer a input terminal, b input terminal, first wave guide W1, second
The tail end of waveguide W2 increases c output end, the d output end of Dare interferometer respectively as Mach；
Leading portion metallic film T1, back segment metallic film the T2 packages length on first wave guide W1 are equal, and thickness is identical, therefore
In the case where applying identical voltage, the variation one of light phase caused by leading portion metallic film T1, the region back segment metallic film T2
Sample；
The matrix of MZI can indicate are as follows:
Wherein, Ec2、Ec1The transmission matrix of respectively rear end three-dB coupler C2 and front end three-dB coupler C1, EsFor first wave
The transmission matrix of two sections of W1, second waveguide W2 waveguides are led, | * | number in bracket is normalized in expression；
Pass through the phase change after waveguide for light wave,For the phase change of light wave after metallic film making alive,
WithFor phase change caused by leading portion metallic film T1, back segment metallic film T2, Δ n1With Δ n2For
Leading portion metallic film T1, the variations in refractive index of back segment metallic film T2 under voltage, L are that metallic film wraps on first wave guide W1
Wrap up in length, when on leading portion metallic film T1, back segment metallic film T2 added with voltage, σ1And σ2Value is 1, when being not powered on pressure, σ1With
σ2Value is 0,
When making alive, suitable voltage is selected, so that: then basis
σ1And σ2Value, there are 3 kinds of transmission situations: straight-through, intersect and multicast；Wherein, in multicast mode, when input port exists
When two input lights, MZI can broadcast two light waves, therefore cause the missing of crosstalk and broadcast capability, therefore define, when multicast mould
Under formula, only a port signal is allowed to input, therefore, multicasting mode is classified into upper road multicast and the lower road letter of road signal input
Number input lower road multicast, and with two kinds of σ1And σ2Value it is corresponding.By σ1And σ2Bring equation into
|Ec2EsEc1| it can obtain:
Bij=σ2。
σ1And σ2Value and function corresponding relationship be shown in Table 1:
1. σ of table1And σ2Value and MZI function corresponding relationship
Fig. 2 (A) is that MZI leads directly to functional schematic；
Fig. 2 (B) is MZI interleaving function schematic diagram；
Fig. 2 (C) is road Multicast function schematic diagram on MZI；
Fig. 2 (D) is road Multicast function schematic diagram under MZI.
As shown in figure 3,4 × 4 Mach increase 4 × 4 optical switch matrixes that Dare interferometer constitutes 4 rows 4 column, each Mach increases moral
It is connected between your interferometer by single mode waveguide, connection type are as follows:
When j < 2,
That is:
c11Output end connects a12Input terminal, d11Output end connects a32Input terminal；
c21Output end connects b12Input terminal, d21Output end connects b32Input terminal；
c31Output end connects a22Input terminal, d31Output end connects a42Input terminal；
c41Output end connects b22Input terminal, d41Output end connects b42Input terminal；
Wherein, ai1Input terminal is for the input port as 4 × 4 matrixes, bi1Input terminal is idle；
When j=2,
That is:
c12Output end connects a13Input terminal, d12Output end connects a23Input terminal；
c22Output end connects b13Input terminal, d22Output end connects b23Input terminal；
c32Output end connects a33Input terminal, d32Output end connects a43Input terminal；
c42Output end connects b33Input terminal, d42Output end connects b43Input terminal；
When j > 2,
That is:
c13Output end connects a14Input terminal, d13Output end connects a24Input terminal；
c23Output end connects a34Input terminal, d23Output end connects a44Input terminal；
c33Output end connects b14Input terminal, d33Output end connects b24Input terminal；
c43Output end connects b34Input terminal, d43Output end connects b44Input terminal；
Wherein, ci4Output end is for the output port as 4 × 4 matrixes, di4Output end is idle；
In above-mentioned each expression formula, "=" number indicates to interconnect, aij、bij、cij、dijIt respectively indicates i-th in optical switch matrix
The Mach of row jth column increases a input terminal, b input terminal, c output end, the d output end of Dare interferometer.
Because the d output end of last column MZI is on the shelf, therefore when optical signal is exported to this road, this optical signal can not be passed
To output port, it is equivalent to the waste of optical signal, therefore is defined, the optical signal for being transferred to the d output end of output MZI is 0.
In order to further illustrate the effect and function of this optical switch matrix, below with reference to embodiment to 4 × 4 photoswitch
The route control method of matrix is illustrated:
The route control method of 4 × 4 optical switch matrixes includes the following steps:
Step 1: providing the matrix expression that single Mach increases Dare interferometer MZI:Output
Interface matrixI is the row serial number of optical switch matrix, i=1,2,3,4；J is the column of optical switch matrix
Serial number, j=1,2,3,4；
Aij、BijValue is 1 or 0,It respectively indicates to Aij、BijIt negates；
aij、bij、cij、dijRespectively indicate the i-th row in optical switch matrix, a input for the Mach increasing Dare interferometer that jth arranges
End, b input terminal, c output end, d output end；
Step 2: calculating transmission matrix S, S=E4F33E3F22E2F11E1,
Wherein EjFor j-th stage node matrix equation, interconnection matrix FjjBetween+1 grade of node matrix equation of j-th stage node matrix equation and jth
Connection matrix；M be node matrix equations at different levels, in interconnection matrix and transmission matrix S matrix unit row serial number, m=1,2 ... 8, n
For the column serial number of matrix unit, n=1,2 ... 8；
1st grade of node matrix equation E0Include M11、M21、M31、M41.Because each MZI contains a input terminal and c, d output end,
So the 1st grade of matrix E1It is 8 × 4 matrixes containing 4 input ports and 8 output ports.
2nd grade of node matrix equation E2Include M12、M22、M32、M42.Each MZI contains a, b input terminal, c, d output end, so
2nd grade of matrix E2It is 8 × 8 matrixes containing 8 input ports and 8 output ports.
3rd level node matrix equation E3Include M13、M23、M33、M43.Each MZI contains a, b input terminal, c, d output end, so
3rd level matrix E3It is 8 × 8 matrixes containing 8 input ports and 8 output ports.
4th grade of node matrix equation E4Include M14、M24、M34、M44.Each MZI contains a, b input terminal, c output end, so
4 grades of matrix E4It is 4 × 8 matrixes containing 8 input ports and 4 output ports.
1st grade of interconnection matrix F11It is 8 × 8 matrixes for the connection matrix of the 1st grade and the 2nd grade node matrix equation.
2nd grade of interconnection matrix F22It is 8 × 8 matrixes for the 2nd grade and the connection matrix of 3rd level node matrix equation.
3rd level interconnection matrix F33It is 8 × 8 matrixes for the connection matrix of 3rd level and the 4th grade of node matrix equation.
For node matrix equation Ej:
E1For 8 row, 4 column matrix, E1M=2i-1 row, n=i column element be Ai1, the member of m=2i row, n=i column
Element is Bi1, represent the MZI of the i-th row in optical switch matrix, the 1st column；Space element is 0 in matrix；
That is:
EjFor 8 row, 8 column matrix, EjM=2i-1 row, n=2i-1 column element be Aij, m=2i-1 row, n=2i
The element of column isThe element that m=2i row, n=2i-1 are arranged is Bij, m=2i row, n=2i column element areRepresent photoswitch
The MZI of i-th row, jth column, j ≠ 1,4 in matrix；Space element is 0 in matrix；
That is:
ENFor 4 row, 8 column matrix.ENM=i row, n=2i-1 column element be Aij, the member of m=i row, n=2i column
Element isRepresent the MZI of the i-th row of optical switch matrix, the 4th column；Space element is 0 in matrix；
That is:
For interconnection matrix Fjj,
When j < 2,
As m≤4, the element that m row, n-th=2m-1 are arranged is 1；As m > 4, the element that m row, n-th=2m-8 are arranged is 1；
Space element is 0 in matrix；
That is:
When j=2,
That is:
When j > 2,
When m is odd number, m row, the element of n-th=(m+1)/2 column is 1；When m is even number, m row, n-th=4+m/
2 column elements are 1；Space element is 0 in matrix；
That is:
Bring a node matrix equation and interconnection matrix into S=E4F33E3F22E2F11E1, it acquires:
Step 3: transmission matrix S is substituted into following formula:
(c14c24c34c44)T=S × (a11a21a31a41)T,
Acquire c14=s11×a11+s12×a21+s13×a31+s14×a41,
c24=s21×a11+s22×a21+s23×a31+s24×a41,
c34=s31×a11+s32×a21+s33×a31+s34×a41,
c44=s41×a11+s42×a21+s43×a31+s44×a41,
According to desired transmission path, i.e. which ai1The signal of input terminal is from which ci4Output end output, coefficient of correspondence smn
It is 1, is otherwise 0, determines each matrix unit s of transmission matrix SmnValue；Each A can be found outij、BijValue, so that it is determined that
MijThat is the state of a control of the single Mach increasing Dare interferometer of optical switch matrix.
When acquiring result, because of two parameter Aij、BijA corresponding MZI, by the two parameters Aij、BijIt is defined as pairing ginseng
Number.After acquiring result, it may appear that 3 kinds of situations: situation is first is that two pairing parameters all acquire；Situation second is that two pairing parameters all
It is unknown；1 is only acquired in 3 two pairing parameters of situation.At this time according to our two previous settings, 1. are in multicast state
MZI only allow a light wave to be input to this MZI；2. the 0th road JiMZIXia input port is given up, do not allow at this time light wave from
The output of this port.If then will appear and preceding two it is found that the parameter that can not be acquired in situation three is identical with the value for acquiring parameter
The case where a setting is disagreed.Difference is answered so parameter can not be acquired and acquire parameter.At this moment all match parameters are all really
Fixed (this MZI of the representative that match parameter can not all acquire is not used, therefore value can be any), then the routing state of each MZI is believed
Breath is determined, and the transmission path of light wave can also determine.
For better Description Matrix algorithm, 1:3 multicasting mode, a are selected11The light wave of input terminal is multicasted to c14、c24、c34
Output end, a12The light wave transmissions of input terminal are to c44Output end.C at this timeijOutput end and aijThe relationship of input terminal are as follows:
c14=a11、c24=a11、c34=a11、c44=a12, therefore, s11=1, s21=1, s31=1, s42=1, remaining is 0,
So:
s11=1, s12=0, s13=0, s14=0；
s21=1, s22=0, s23=0, s24=0；
s31=1, s32=0, s33=0, s34=0；
s41=0, s42=1, s43=0, s44=0；
I.e. in addition to
Outside, the matrix element of remaining transmission matrix is all 0, root
Formula can find out A accordinglyijBijValue.
Following table lists the value found out according to above formula:
Two parameters of MZI are all unknown, the blank parts in table, indicate that this MZI is not used, such as M31、M41、M22、M42、
M33This 5 MZI；Two parameters of MZI all it is known that in table insert numerical value part, indicate the state of this MZI, such as M13、M12
The two MZI；One known to two parameters of MZI, one it is unknown (in table containing "? "), at this time if filling and known ginseng
The identical numerical value of number, then must violate with two previous settings, so unknown parameter chooses the numerical value different with known parameters,
Such as M41、M24、M34、M44、M23、M43、M32、M11、M21This 9 MZI, at this point, the value of unknown parameter is the number in Table between brackets
Value.So all unknown parameters are determined, the value state of MZI it is also known that: M14、M24、M34、M23、M32、M11, this 6
MZI works in direct mode operation, M44、M43、M21, this 3 MZI work are in cross-mode, M13、M12, the two MZI work is in Shang Lu
Multicasting mode, remaining MZI are not used.The transmission path of light wave also determines, as shown in Figure 4.
Claims (2)
1. a kind of N × N optical switch matrix is connected and composed by N × N number of Mach of increasing Dare interferometer by single mode waveguide, N >=2,
It is characterized in that:
It includes first wave guide (W1), second waveguide (W2), leading portion metallic film (T1), back segment gold that the Mach, which increases Dare interferometer,
Belong to film (T2), the first wave guide (W1) and second waveguide (W2) are arranged in parallel, and then sequentially form front end 3dB coupling from preceding
Device (C1), rear end three-dB coupler (C2), the first wave guide (W1) are located at front end three-dB coupler (C1) and rear end three-dB coupler
(C2) leading portion metallic film (T1), back segment metallic film (T2) are successively wrapped up in the part between, constitute Mach and increase Dare interferometer；
First wave guide (W1), second waveguide (W2) head end respectively as Mach increase Dare interferometer a input terminal, b input terminal, first
Waveguide (W1), second waveguide (W2) tail end respectively as Mach increase Dare interferometer c output end, d output end；
Leading portion metallic film (T1), back segment metallic film (T2) packages length on first wave guide (W1) are equal, and thickness is identical, solely
It is vertical to apply voltage；
N × N number of Mach of increasing Dare interferometer constitutes N × N optical switch matrix of N row N column, connection type are as follows:
(1) when N is odd number,
When j≤(N-1)/2,
When j > (N-1)/2,
(2) when N is even number,
When j < N/2,
When j=N/2,
When j > N/2,
In above-mentioned each expression formula, "=" number indicates to interconnect, aij、bij、cij、dijRespectively indicate the i-th row in optical switch matrix
J column Mach increase Dare interferometer a input terminal, b input terminal, c output end, d output end, row serial number i=1,2 ..., N, column sequence
Number j=1,2 ..., N.
2. the route control method of N × N optical switch matrix described in claim 1, which is characterized in that include the following steps:
Step 1: providing the matrix expression that single Mach increases Dare interferometer MZI:Output interface square
Battle arrayI is the row serial number of optical switch matrix, and i=1,2 ... N, j is the column serial number of optical switch matrix, j=
1,2…N；
Aij、BijValue is 1 or 0,It respectively indicates to Aij、BijIt negates；
aij、bij、cij、dijRespectively indicate the i-th row in optical switch matrix, the Mach of jth column increases a input terminal, the b of Dare interferometer
Input terminal, c output end, d output end；
Step 2: calculating transmission matrix S, S=ENF(N-1)(N-1)EN-1...Ej+1FjjEj...E1,
Wherein EjFor j-th stage node matrix equation, interconnection matrix FjjFor the connection between+1 grade of node matrix equation of j-th stage node matrix equation and jth
Matrix；M be node matrix equations at different levels, in interconnection matrix and transmission matrix S matrix unit row serial number, m=1,2 ..., 2N, n is
The column serial number of matrix unit, n=1,2 ..., 2N；
E1For 2N row N column matrix, E1M=2i-1 row, n=i column element be Ai1, m=2i row, n=i column element be
Bi1, represent the MZI of the i-th row in optical switch matrix, the 1st column；Space element is 0 in matrix；
EjFor 2N row 2N column matrix, EjM=2i-1 row, n=2i-1 column element be Aij, m=2i-1 row, n=2i are arranged
Element isThe element that m=2i row, n=2i-1 are arranged is Bij, m=2i row, n=2i column element areRepresent optical switch matrix
In the i-th row, jth column MZI, j ≠ 1, N；Space element is 0 in matrix；
ENFor N row 2N column matrix, ENM=i row, n=2i-1 column element be Aij, m=i row, n=2i column element beRepresent the MZI of the i-th row of optical switch matrix, Nth column；Space element is 0 in matrix；
For interconnection matrix Fjj:
(1) when N is odd number,
When j≤(N-1)/2,
As m≤N, the element that m row, n-th=2m-1 are arranged is 1；As m > N, the element that m row, n-th=2m-2N are arranged is 1；Square
Space element is 0 in battle array；
When j > (N-1)/2,
When m is odd number, m row, the element of n-th=(m+1)/2 column is 1；When m is even number, m row, n-th=N+m/2 column
Element is 1；Space element is 0 in matrix；
(2) when N is even number,
When j < N/2,
As m≤N, the element that m row, n-th=2m-1 are arranged is 1；As m > N, the element that m row, n-th=2m-2N are arranged is 1；Square
Space element is 0 in battle array；
When j=N/2,
When j > N/2,
When m is odd number, m row, the element of n-th=(m+1)/2 column is 1；When m is even number, m row, n-th=N+m/2 column
Element is 1；Space element is 0 in matrix；
Node matrix equations at different levels and interconnection matrix are substituted into transmission matrix S:
S is N × N rank matrix, smnIt is the matrix unit of m row in transmission matrix S, n column, and about Aij、BijExpression formula；
Step 3: transmission matrix S is substituted into following formula:
(c1Nc2N…ciN…cNN)T=S × (a11a21...ai1...aN1)T,
ai1For the i-th row of optical switch matrix, a input terminal of the 1st column MZI；ciNIt is exported for the c of the i-th row of optical switch matrix, Nth column MZI
End, i=1,2 ... N,
Acquire ciN=sm1×a11+sm2×a21+…smn×ai1…+smN×aN1,
The value of m is identical as the value of footmark i of c output end, and the value of n and the value of footmark i of a input terminal are identical；
According to desired transmission path, i.e. which ai1The signal of input terminal is from which ciNOutput end output, coefficient of correspondence smnIt is 1,
Otherwise it is 0, determines each matrix unit s of transmission matrix SmnValue；Each A can be found outij、BijValue, so that it is determined that
MijThat is the state of a control of the single Mach increasing Dare interferometer of optical switch matrix.
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| CN108732688B (en) * | 2017-04-24 | 2020-02-21 | 华为技术有限公司 | Optical switch chip, control method thereof and optical switch matrix |
| CN107861267A (en) * | 2017-10-27 | 2018-03-30 | 武汉光迅科技股份有限公司 | A kind of adjustable multicast and exchange photoswitch of splitting ratio and method |
| CN113259790B (en) * | 2021-05-18 | 2022-11-15 | 天津市誉航润铭科技发展有限公司 | Rearrangeable non-blocking full-cross optical cross connection matrix and control method thereof |
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