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TWI867385B - ONE KIND OF 4x4 OPTICAL SWITCH WHICH HAS CONFIDENTIALITY FUNCTION - Google Patents

ONE KIND OF 4x4 OPTICAL SWITCH WHICH HAS CONFIDENTIALITY FUNCTION Download PDF

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TWI867385B
TWI867385B TW111147867A TW111147867A TWI867385B TW I867385 B TWI867385 B TW I867385B TW 111147867 A TW111147867 A TW 111147867A TW 111147867 A TW111147867 A TW 111147867A TW I867385 B TWI867385 B TW I867385B
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TW202424561A (en
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黃旭華
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Abstract

This invention is one kind of four by four optical switch with confidentiality function; The four input optical signals can be output through the control codes to complete 24 kinds of combinations. Its composition includes six two by two optical switch units and connection network, and a password table composed of 6 control lines. The 2x2 optical switch unit is composed of two groups of liquid crystal lens sets, each of them contain several liquid crystal lens.

Description

具有保密功能之4x4光開關結構4x4 optical switch structure with confidentiality function

本發明一種具有保密功能之4x4光開關結構,特指應用於光通信技術領域,主要係以光開關搭配聚焦型的液晶透鏡,進而達到通信傳輸保密及精確之功效。 This invention discloses a 4x4 optical switch structure with a confidentiality function, which is specifically applied in the field of optical communication technology. It mainly uses an optical switch with a focusing liquid crystal lens to achieve confidentiality and accuracy in communication transmission.

光纖通信技術的發展給通信領域帶來重大的變革,特別是近幾年,以IP為主的網路相關業務呈現爆炸性增長,這種增長趨勢不僅改變IP網路層與底層傳輸網路的關係,且對整個網路的組織方式、節點設計、管理和控制更是呈現出新的風貌。 The development of optical fiber communication technology has brought about major changes in the communication field. In particular, in recent years, network-related services based on IP have experienced explosive growth. This growth trend has not only changed the relationship between the IP network layer and the underlying transmission network, but also presented a new look to the organization, node design, management and control of the entire network.

而在光纖網路中自動交換光網路(Automatic Switched Optical Networks,ASON)成為研究的熱點。其主要核心節點由光交叉連線(Optical Cross-connect,OXC)設備構成。通過光交叉連線,可實現波長動態分配和對光網路靈活、有效地管理。而光開關作為切換光路的功能器件,屬於光交叉連線中較關鍵的部分。又光開關可實現動態光路徑管理、光網路的故障保護、波長動態分配等功能,對解決目前複雜網路中的波長爭搶中,提高波長重用率,可進行網路靈活配置。隨著光傳送朝超高速、超大容量的方向發展,網路的生存能力、網路的保護倒換和恢復問題成為網路關鍵問題,尤其是網路上的保密最為相關領域所重視。 In the optical fiber network, Automatic Switched Optical Networks (ASON) has become a hot topic of research. Its main core nodes are composed of optical cross-connect (OXC) equipment. Through optical cross-connect, dynamic wavelength allocation and flexible and effective management of optical networks can be achieved. As a functional device for switching optical paths, optical switches are a key part of optical cross-connects. Optical switches can realize dynamic optical path management, optical network fault protection, dynamic wavelength allocation and other functions, which can solve the wavelength competition in the current complex network, improve the wavelength reuse rate, and perform flexible network configuration. As optical transmission develops towards ultra-high speed and ultra-large capacity, network survivability, network protection switching and recovery issues have become key network issues, especially network confidentiality, which is the most important issue in related fields.

關於液晶的電光效應部分,因為液晶的電控雙折射效應;對液晶施加電場可使液晶的排列方向發生變化。因此,按照一定的偏振方向入射的光,會在液晶中發生雙折射的現象。一般來說液晶在未加電場時的呈現出的折射率為no。加上電場時的呈現出的折射率為ne。兩者的差異△n=ne-no會是本發明使用的主要物理原理。 Regarding the electro-optical effect of liquid crystal, due to the electrically controlled birefringence effect of liquid crystal, applying an electric field to liquid crystal can change the arrangement direction of the liquid crystal. Therefore, light incident in a certain polarization direction will undergo birefringence in the liquid crystal. Generally speaking, the refractive index of liquid crystal when no electric field is applied is no. The refractive index when an electric field is applied is ne. The difference between the two, △n=ne-no, is the main physical principle used in this invention.

而本發明作為該領域的研究下,針對光開關具有多個可選擇的傳輸端,可對光傳輸線路或集成光路中的光信號進行相互轉換或邏輯操作的特性下,進一步研究出一種具有保密技術的光開關結構。 As a research in this field, the present invention further studies a structure of optical switch with confidentiality technology based on the characteristics of optical switch having multiple selectable transmission ends and being able to mutually convert or perform logical operations on optical signals in optical transmission lines or integrated optical circuits.

本發明主要是提供光開關的通信傳輸上具有保密功能之4x4光開關結構,其中:該光開關內建二輸入2X2單元、二輸出2X2單元及二橋接2X2單元。總共有6個2X2單元。該二輸入2X2單元總共具有四個光信號輸入端,及該二輸出2X2單元四個輸出端,每個單元具有一個開關控制信號,我們稱為控制碼。其作用是:加上電壓代表開啟產生信號交換,不加電壓代表關閉,不產生信號交換。在本發明設計的網路交叉下,可形成該四個輸入端與四個輸入端的各種搭配的控制碼結果,加上數學理論上的同構效應,進而達到網路信號傳輸上的保密;其中,將該二輸入2X2單元定義為

Figure 111147867-A0305-02-0004-5
、該二輸出2X2單元定義為
Figure 111147867-A0305-02-0004-6
、該二橋接2X2單元定義為
Figure 111147867-A0305-02-0004-3
,前述該光開關的光信號傳輸下可得
Figure 111147867-A0305-02-0004-1
:,其中
Figure 111147867-A0305-02-0004-4
為一個4X4單元,具有6個控制碼。 The present invention mainly provides a 4x4 optical switch structure with a confidentiality function in the communication transmission of an optical switch, wherein: the optical switch has two built-in input 2X2 units, two output 2X2 units and two bridge 2X2 units. There are a total of 6 2X2 units. The two input 2X2 units have a total of four optical signal input terminals, and the two output 2X2 units have four output terminals. Each unit has a switch control signal, which we call a control code. Its function is: adding voltage represents opening and generating signal exchange, and not adding voltage represents closing and generating no signal exchange. Under the network crossover designed by the present invention, the control code results of various combinations of the four input terminals and the four input terminals can be formed, and the isomorphism effect in mathematical theory can be added to achieve the confidentiality of network signal transmission; wherein, the two-input 2X2 unit is defined as
Figure 111147867-A0305-02-0004-5
, the two output 2X2 unit is defined as
Figure 111147867-A0305-02-0004-6
The two bridged 2X2 units are defined as
Figure 111147867-A0305-02-0004-3
, the optical signal transmission of the optical switch can be obtained
Figure 111147867-A0305-02-0004-1
:,in
Figure 111147867-A0305-02-0004-4
It is a 4X4 unit with 6 control codes.

100:光開關 100: Light switch

10:輸入2X2單元 10: Input 2X2 unit

11、11A、11B、11C、11D:第一輸入端 11, 11A, 11B, 11C, 11D: First input terminal

12、12A、12B、12C、12D:第一輸出端 12, 12A, 12B, 12C, 12D: first output terminal

20:輸出2X2單元 20: Output 2X2 unit

21、21A,21B,21C,21D:第二輸入端 21, 21A, 21B, 21C, 21D: Second input terminal

22、22A,22B,22C,22D:第二輸出端 22, 22A, 22B, 22C, 22D: Second output terminal

30:橋接2X2單元 30: Bridge 2X2 units

31、31A,31B,31C,31D:橋接單元輸入端 31, 31A, 31B, 31C, 31D: bridge unit input terminal

32、32A,32B,32C,32D:橋接單元輸出端 32, 32A, 32B, 32C, 32D: Bridge unit output terminal

40:控制碼信號輸入單元 40: Control code signal input unit

60:透鏡單元 60: Lens unit

第一圖為本發明光開關結構之內部及連結網路立體示意圖。 The first figure is a three-dimensional schematic diagram of the internal structure and connection network of the optical switch of the present invention.

第二圖為本發明光開關結構之光透鏡單元及連結放大立體示意圖。 The second figure is an enlarged three-dimensional schematic diagram of the optical lens unit and connection of the optical switch structure of the present invention.

第三圖為一個2X2光單元在施加電壓與不施加電壓時的導通運作示意圖。 The third figure is a schematic diagram of the conduction operation of a 2X2 optical unit when voltage is applied and when no voltage is applied.

第四圖為一個2X2光單元,在施加電壓下,未切割前之光路立體圖。 The fourth figure is a 3D diagram of the optical path of a 2X2 optical unit before cutting under applied voltage.

第五圖為一個2X2光單元,在施加電壓下,切割成平板型之光路立體圖。 The fifth figure is a 3D diagram of the optical path of a 2X2 optical unit cut into a flat plate under applied voltage.

第六圖為一個2X2光單元之演算示意圖。 The sixth figure is a schematic diagram of the calculation of a 2X2 optical unit.

第七圖為兩個2X2光輸入單元之演算示意圖。 Figure 7 is a schematic diagram of the calculation of two 2X2 optical input units.

第八圖為兩個2X2光橋接單元之演算示意圖。 Figure 8 is a schematic diagram of the calculation of two 2X2 optical bridge units.

第九圖為本發明運用到的六個2X2光單元之演算示意圖。 Figure 9 is a schematic diagram of the calculation of six 2X2 optical units used in the present invention.

第十圖為本發明運用到的六個控制碼與四個輸入,四個輸出之演算示意圖。 Figure 10 is a schematic diagram of the calculation of the six control codes, four inputs, and four outputs used in the present invention.

第十一圖光開關在通電狀況下之設計數據。 Figure 11 shows the design data of the optical switch when powered on.

第十二圖光開關在不通電狀況下之設計數據。 Figure 12 shows the design data of the light switch when it is not powered.

第十三圖三層2維2X2光學交換網路各層的交換結果。 Figure 13 shows the switching results of each layer of the three-layer 2D 2X2 optical switching network.

第十四圖三層2維2X2光學交換網路層與層運算後不重覆的結果。 Figure 14 shows the non-repetitive results after layer-by-layer operations on a three-layer 2D 2X2 optical switching network.

第十五圖三層2維2X2光學交換網路層與層的計算過程之一。 Figure 15 shows one of the layer-by-layer calculation processes of a three-layer 2D 2X2 optical switching network.

第十六圖三層2維2X2光學交換網路層與層的計算過程之二,簡化記號。 Figure 16. The second part of the calculation process of the three-layer 2D 2X2 optical switching network layer by layer, simplified notation.

第十七圖三層2維2X2光學交換網路層與層的計算過程之三,結果對應控制碼之一。 Figure 17 shows the third layer-by-layer calculation process of the three-layer 2D 2X2 optical switching network, and the result corresponds to one of the control codes.

第十八圖三層2維2X2光學交換網路層與層的計算過程之四,轉換成實際運算。 Figure 18: The fourth part of the calculation process of the three-layer 2D 2X2 optical switching network layer by layer, converted into actual calculation.

第十九圖三層2維2X2光學交換網路層與層的計算過程之五,略去層記號。 Figure 19 shows the fifth layer-by-layer calculation process of a three-layer 2D 2X2 optical switching network, with layer labels omitted.

第二十圖三層2維2X2光學交換網路層與層的計算過程之六,結果對應控制碼之二。 Figure 20 shows the sixth calculation process of the three-layer 2D 2X2 optical switching network layer-by-layer, and the result corresponds to the second control code.

第二十一圖三層2維2X2光學交換網路層與層的計算過程之七,找出同構結果。 Figure 21: The seventh calculation process of the three-layer 2D 2X2 optical switching network layer by layer, finding the isomorphic results.

第二十二圖三層2維2X2光學交換網路層與層的計算過程之八,同構結果列表。 Figure 22: The eighth calculation process of the three-layer 2D 2X2 optical switching network layer by layer, and the list of isomorphic results.

第二十三圖控制碼同構表。 Figure 23: Control code isomorphism table.

第二十四圖控制碼同構表中,最簡控制碼。 Figure 24 shows the simplest control code in the control code isomorphism table.

為了清楚說明本創作所能達成上述之目的及功效,茲搭配圖示就本創作的實施例加以詳細說明其特徵與功效。請參閱第一至二十四圖所示,本發明一種具有保密功能之4x4光開關結構,如圖一其中:該4X4光開關100,含有六個2X2光信號交換單元;包含二輸入2X2單元10,(x,y)、二輸出2X2單元20,(p,q)及二橋接2X2單元30,(u,v),定義(x,y,p,q,u,v)為一控制碼信號輸入單元40。該二輸入2X2單元10,(x,y):具四第一輸入端11各為,11A,11B,11C,11D。及四第一輸出端12各為,12A,12B,12C,12D。該二輸出2X2單元20,(p,q):具四第一輸入端21各為,21A,21B,21C,21D。及四第一輸出端22各為,22A,22B,22C,22D。該二橋接2X2單元10,(u,v):具四第一輸入端31各為,31A,31B,31C,31D。及四第一輸出端32各為,32A,32B,32C,32D。其中,12A與31C連結,12B與31A連結,12C與31B連結,12D與31D連結。32A與21B連結,32B與21C連結,32C與21A連結,32D與21D連結。以上的連結都是光信號的連結。 In order to clearly illustrate that the invention can achieve the above-mentioned purpose and effect, the invention is described in detail with diagrams for its features and effects. Please refer to the first to twenty-fourth figures, the invention is a 4x4 optical switch structure with a confidentiality function, as shown in Figure 1: the 4x4 optical switch 100, contains six 2x2 optical signal exchange units; including two input 2x2 units 10, (x, y), two output 2x2 units 20, (p, q) and two bridge 2x2 units 30, (u, v), defining (x, y, p, q, u, v) as a control code signal input unit 40. The two input 2x2 units 10, (x, y): have four first input terminals 11, 11A, 11B, 11C, 11D respectively. The four first output terminals 12 are 12A, 12B, 12C, and 12D. The two output 2X2 units 20 (p, q) have four first input terminals 21, 21A, 21B, 21C, and 21D. The four first output terminals 22 are 22A, 22B, 22C, and 22D. The two bridge 2X2 units 10 (u, v) have four first input terminals 31, 31A, 31B, 31C, and 31D. The four first output terminals 32 are 32A, 32B, 32C, and 32D. Among them, 12A is connected to 31C, 12B is connected to 31A, 12C is connected to 31B, and 12D is connected to 31D. 32A is connected to 21B, 32B is connected to 21C, 32C is connected to 21A, and 32D is connected to 21D. All the above connections are optical signal connections.

另外,將該二輸入2X2單元10之控制碼定義為(x,y)、該二輸出2X2單元20之控制碼定義為(p,q)、該二橋接2X2單元30之控制碼定義為(u,v),前述該光 開關100的光信號傳輸下可得

Figure 111147867-A0305-02-0007-8
,其中輸入層單元可得運算式為
Figure 111147867-A0305-02-0007-9
中間層橋接單元30,可得運算式為
Figure 111147867-A0305-02-0007-10
輸出層輸出2X2單元20,可得運算式為
Figure 111147867-A0305-02-0007-7
經由本發明的光學信號連接方法及控制碼組合結果,可以得到完整的信號交換傳輸及保密功能。 In addition, the control codes of the two input 2X2 units 10 are defined as (x, y), the control codes of the two output 2X2 units 20 are defined as (p, q), and the control codes of the two bridge 2X2 units 30 are defined as (u, v). The optical signal transmission of the optical switch 100 can be obtained as follows:
Figure 111147867-A0305-02-0007-8
, where the input layer unit can be expressed as
Figure 111147867-A0305-02-0007-9
The middle layer bridge unit 30, the equation is
Figure 111147867-A0305-02-0007-10
The output layer outputs 2X2 units 20, and the expression is
Figure 111147867-A0305-02-0007-7
Through the optical signal connection method and control code combination results of the present invention, a complete signal exchange transmission and confidentiality function can be obtained.

此處描述,2X2的光信號交換單元的具體運作方法,如圖二;透鏡單元60之介紹:本發明使用了一群透鏡單元60(由聚焦形液晶透鏡組與另一群反向的聚焦液晶透鏡組在焦點處相結合),形成一個2X2信號交換器。當兩個透鏡單元60加上電壓,兩個信號交換對調;當兩個透鏡單元60不加上電壓,兩個信號直通而過,不對調,請見第三圖之光路圖。 Here, the specific operation method of the 2X2 optical signal exchange unit is described, as shown in Figure 2; Introduction of the lens unit 60: The present invention uses a group of lens units 60 (a focusing liquid crystal lens group and another group of reverse focusing liquid crystal lens groups are combined at the focal point) to form a 2X2 signal exchanger. When the two lens units 60 are applied with voltage, the two signals are exchanged and swapped; when the two lens units 60 are not applied with voltage, the two signals pass directly and are not swapped. Please see the optical path diagram in Figure 3.

透鏡單元60做為4X4光開關100中之一個2X2模組,其具體實施例如下:Merck公司生產的E7液晶材料;其特性為,no(d)=1.5224,Vd=30.023,ne(d)=1.7394,Vd=14.788。光信號部份我們採用532nm波長半導體雷射,光束的直徑約1mm,輸入端對應的光信號與其透鏡單元60立體圖。請參考圖十一是加上電壓(控制碼為1)後,整個透鏡單元的設計參數。其中帶有非球面係數的模造玻璃,以消除光學像差之影響。此時因為加上的電壓使得液晶層折射率改變,產生了聚焦效果,進而產生信號交換。 The lens unit 60 is a 2X2 module in the 4X4 optical switch 100. The specific implementation example is as follows: E7 liquid crystal material produced by Merck; its characteristics are no(d)=1.5224, Vd=30.023, ne(d)=1.7394, Vd=14.788. For the optical signal part, we use a 532nm wavelength semiconductor laser, and the diameter of the beam is about 1mm. The optical signal corresponding to the input end and its three-dimensional diagram of the lens unit 60. Please refer to Figure 11 for the design parameters of the entire lens unit after adding voltage (control code is 1). The molded glass with aspheric coefficient is used to eliminate the influence of optical aberration. At this time, the applied voltage changes the refractive index of the liquid crystal layer, producing a focusing effect, which in turn generates signal exchange.

請參考圖十二是不加上電壓(控制碼為0)後,整個透鏡單元60的設計參數。此時信號直通而過,不產生信號交換。 Please refer to Figure 12 for the design parameters of the entire lens unit 60 when no voltage is applied (the control code is 0). At this time, the signal passes directly and no signal exchange occurs.

透鏡單元60,原始是圓盤形狀的如圖四,依軸線次序排列。考慮其使用的範圍,我們把液晶透鏡模組切割成盒形,方塊狀,以利其縮小體積。如圖五。 The lens unit 60 is originally in the shape of a disk as shown in Figure 4, and is arranged in axial order. Considering the scope of its use, we cut the liquid crystal lens module into a box shape or a block shape to facilitate its reduction in size. See Figure 5.

抽象代數中的群論計算方法:使用了一些群論數學的記號方法;比如S 2表示兩個成員排列組合構成的群,S 4表示四個成員排列組合構成的群。成員S 2可以有編號,有控制碼;記號為

Figure 111147867-A0305-02-0008-13
(1,2);x是控制碼,控制碼只能有1,0。x=1代表執行交換,x=0代表不執行交換。(1,2)是其成員編號。T 2,一樣也是兩個成員排列組合構成的群。S 4的成員一樣可以有編號,有控制碼;
Figure 111147867-A0305-02-0008-11
稱為二維S 2
Figure 111147867-A0305-02-0008-12
其成員數目是兩個S 2之成員為4個。本發明主要是解決了S 4S 2關聯性的問題。 Group theory calculation methods in abstract algebra: some notation methods of group theory are used; for example, S 2 represents a group composed of two member permutations and combinations, and S 4 represents a group composed of four member permutations and combinations. Member S 2 can have a number and a control code; the notation is
Figure 111147867-A0305-02-0008-13
(1,2); x is the control code, which can only be 1 or 0. x=1 means to execute the exchange, and x=0 means not to execute the exchange. (1,2) is the member number. T 2 is also a group composed of two member combinations. The members of S 4 can also have numbers and control codes;
Figure 111147867-A0305-02-0008-11
It is called two-dimensional S 2 ;
Figure 111147867-A0305-02-0008-12
The number of its members is 4 for two S2 members. The present invention mainly solves the problem of the relevance between S4 and S2 .

在基本的2X2光學交叉網路上,主要成員有兩個

Figure 111147867-A0305-02-0008-16
(1,2),
Figure 111147867-A0305-02-0008-15
(2,1)。右上角的(0)代表控制信號為0,(1)代表控制信號為1。(1,2)是成員的狀態,當控制信號為0,其原始狀態不改變,標記為
Figure 111147867-A0305-02-0008-17
(1,2)。當控制信號為1,產生交換的狀態,標記為
Figure 111147867-A0305-02-0008-18
(2,1)。可以參考圖六。 In a basic 2X2 optical cross-connect network, there are two main members:
Figure 111147867-A0305-02-0008-16
(1,2),
Figure 111147867-A0305-02-0008-15
(2,1). The (0) in the upper right corner represents the control signal is 0, and (1) represents the control signal is 1. (1,2) is the member state. When the control signal is 0, its original state does not change and is marked as
Figure 111147867-A0305-02-0008-17
(1,2). When the control signal is 1, the state of exchange occurs, marked as
Figure 111147867-A0305-02-0008-18
(2,1). Please refer to Figure 6.

兩組2X2光學交叉網路,

Figure 111147867-A0305-02-0008-19
的意思為兩組2X2網路稱為二維的S2群,可以用以下符號表示
Figure 111147867-A0305-02-0008-62
(1,2)+
Figure 111147867-A0305-02-0008-63
(3,4),我們可以註記為:
Figure 111147867-A0305-02-0008-20
,其中成員狀態總共有4個:
Figure 111147867-A0305-02-0008-21
Figure 111147867-A0305-02-0008-22
Figure 111147867-A0305-02-0008-23
Two sets of 2X2 optical cross-connect networks,
Figure 111147867-A0305-02-0008-19
The meaning of this is that two groups of 2X2 networks are called two-dimensional S2 groups, which can be represented by the following symbols:
Figure 111147867-A0305-02-0008-62
(1,2)+
Figure 111147867-A0305-02-0008-63
(3,4), we can annotate it as:
Figure 111147867-A0305-02-0008-20
, of which there are 4 member states:
Figure 111147867-A0305-02-0008-21
,
Figure 111147867-A0305-02-0008-22
,
Figure 111147867-A0305-02-0008-23

另一種性質的兩組2X2光學交叉網路,

Figure 111147867-A0305-02-0008-24
的意思為對於成員狀態有4個(1,2,3,4)的二維群
Figure 111147867-A0305-02-0008-25
x只對(1,2)做交換、y只對(3,4)做交換;我們另外定義一個
Figure 111147867-A0305-02-0008-26
;u只對(1,4)做交換、v只對(2,3)做交換。二維群
Figure 111147867-A0305-02-0008-29
類似於
Figure 111147867-A0305-02-0008-27
;P只對(1,2)做交換、q只對(3,4)做交換,如圖七、八。 Another type of two 2X2 optical crossbar networks,
Figure 111147867-A0305-02-0008-24
means that there are four (1, 2, 3, 4) two-dimensional groups for member states
Figure 111147867-A0305-02-0008-25
; x only swaps (1, 2), y only swaps (3, 4); we also define a
Figure 111147867-A0305-02-0008-26
; u only commutes (1, 4), and v only commutes (2, 3). Two-dimensional group
Figure 111147867-A0305-02-0008-29
Similar to
Figure 111147867-A0305-02-0008-27
; P only swaps (1, 2), and q only swaps (3, 4), as shown in Figures 7 and 8.

三層2維2X2光學交叉網路與層運算如圖九、十,註記如下:

Figure 111147867-A0305-02-0008-28
The three-layer 2D 2X2 optical cross network and layer operations are shown in Figures 9 and 10, with the following annotations:
Figure 111147867-A0305-02-0008-28

Figure 111147867-A0305-02-0009-33
Figure 111147867-A0305-02-0009-33

進行層運算的時候,我們用X號來表式;單層

Figure 111147867-A0305-02-0009-32
有4個成員如圖十三,兩層運算
Figure 111147867-A0305-02-0009-34
×
Figure 111147867-A0305-02-0009-35
就有16個成員,兩層運算
Figure 111147867-A0305-02-0009-36
×
Figure 111147867-A0305-02-0009-37
×
Figure 111147867-A0305-02-0009-38
就有64個成員。 When performing layer operations, we use X to represent the expression; single layer
Figure 111147867-A0305-02-0009-32
There are 4 members as shown in Figure 13, two-level operation
Figure 111147867-A0305-02-0009-34
×
Figure 111147867-A0305-02-0009-35
There are 16 members, two levels of operation
Figure 111147867-A0305-02-0009-36
×
Figure 111147867-A0305-02-0009-37
×
Figure 111147867-A0305-02-0009-38
There are 64 members.

4X4光學交叉網路,S 4的成員按照排列組合理論,4!=24,總共有24個不重複的成員,請參考圖十四。控制碼的解經証明:三層二維2X2光學交叉網路構成,其一般控制碼的形式為:(xy,uv,pq)。總共有64種結果,但只有24個不重覆的解,如圖十五,控制碼的形式經過簡化後進而形成最簡控制碼為(x,uv,pq)。4X4光學交叉網路等於三層2組2X2光學交叉網路之數學形式為

Figure 111147867-A0305-02-0009-31
其中(xy,uv,pq)有64種結果;但是只有24個同構群。 4X4 optical cross network, S 4 members according to the arrangement and combination theory, 4! = 24, a total of 24 non-repeating members, please refer to Figure 14. The interpretation of the control code proves that: three layers of two-dimensional 2X2 optical cross network, its general control code form is: (xy, uv, pq). There are 64 results in total, but there are only 24 non-repeating solutions, as shown in Figure 15. The form of the control code is simplified to form the simplest control code (x, uv, pq). The mathematical form of the 4X4 optical cross network is equivalent to the three layers of 2 groups of 2X2 optical cross networks.
Figure 111147867-A0305-02-0009-31
There are 64 results for (xy,uv,pq); but there are only 24 isomorphism groups.

証明過程:如圖十五至圖二十二,我們把完整的層運算列出來,總共有64個控制碼結果;圖十六是把圖十五之記號做簡化,圖十七是把圖十六之記號做簡化,圖十八是把圖十九之記號做簡化。圖二十是最後64個運算結果。圖二十一是把重複的結果核對刪除;我們把圖十七中間的

Figure 111147867-A0305-02-0009-39
寫成另一種格式以方便運算:記號成:
Figure 111147867-A0305-02-0009-40
;不做交換。 Proof process: As shown in Figures 15 to 22, we list the complete layer operation, with a total of 64 control code results; Figure 16 simplifies the notation of Figure 15, Figure 17 simplifies the notation of Figure 16, and Figure 18 simplifies the notation of Figure 19. Figure 20 is the final 64 operation results. Figure 21 checks and deletes the duplicate results; we remove the middle of Figure 17.
Figure 111147867-A0305-02-0009-39
Write it in another format for easier calculation: Notation:
Figure 111147867-A0305-02-0009-40
; No exchange.

Figure 111147867-A0305-02-0009-41
;表示為(21)(34),交換(34);
Figure 111147867-A0305-02-0009-42
;表示為(12)(43),交換(34);
Figure 111147867-A0305-02-0009-43
;表示為(21)(43),(12)(43)都交換; 層與層發生運算時,比如說
Figure 111147867-A0305-02-0010-44
;第一層運算是
Figure 111147867-A0305-02-0010-45
;第二層是
Figure 111147867-A0305-02-0010-46
;第三層是
Figure 111147867-A0305-02-0010-47
;層與層中間的運算,用l來區隔表示。但這個記號在圖十八到十九的運算中被消除,我們表達為:
Figure 111147867-A0305-02-0010-48
;運算過程是:
Figure 111147867-A0305-02-0010-49
。圖十八是用(1)(21)(43)(32)(41)表達的列表。圖二十二是算出所有的結果,把所有的控制碼結果與成員形成對應。從裡面我們發現,控制碼與成員是多對1的結果,最終我們發現64個控制碼,只有24個成員對應,如圖二十二。多對1的結果,我們列表稱為同構。
Figure 111147867-A0305-02-0009-41
; expressed as (21)(34), exchange (34);
Figure 111147867-A0305-02-0009-42
; expressed as (12)(43), exchange (34);
Figure 111147867-A0305-02-0009-43
; (21)(43), (12)(43) are swapped; When operations occur between layers, for example
Figure 111147867-A0305-02-0010-44
; The first level operation is
Figure 111147867-A0305-02-0010-45
; The second layer is
Figure 111147867-A0305-02-0010-46
; The third layer is
Figure 111147867-A0305-02-0010-47
; The operations between layers are separated by l . However, this symbol is eliminated in the operations from Figures 18 to 19, and we express it as:
Figure 111147867-A0305-02-0010-48
; The calculation process is:
Figure 111147867-A0305-02-0010-49
Figure 18 is a list expressed by (1)(21)(43)(32)(41). Figure 22 calculates all the results, and matches all the control code results with the members. From it, we find that the control code and the member are many-to-1 results. Finally, we find that there are 64 control codes and only 24 members corresponding to them, as shown in Figure 22. The many-to-1 result is called an isomorphism in our list.

建立同構表成為保密表的基礎下,如圖二十二,我們把24個成員跟對應的控制碼列出來;每個成員對應的控制碼數量不同,我們再將其重新整理成同構表,如圖二十三。這個同構的控制碼表形成保密表的基礎,我們可以選擇同構的控制碼表其中任何一組做成完整的24個成員結果,這樣的控制碼選擇方式總共有:6*2*42*28*44*28=3,221225472*109,3億多種選擇方法。這對於保密性來說,是一個非常堅實的基礎。 The isomorphic table is established as the basis of the confidentiality table. As shown in Figure 22, we list the 24 members and the corresponding control codes. The number of control codes corresponding to each member is different, so we reorganize them into an isomorphic table, as shown in Figure 23. This isomorphic control code table forms the basis of the confidentiality table. We can choose any group of isomorphic control code tables to make a complete 24-member result. There are a total of 6*2*4 2 *2 8 *4 4 *2 8 =3,221225472*10 9 , more than 300 million selection methods. This is a very solid foundation for confidentiality.

以下用一個實施例做保密表的說明,從圖二十三中,我們可以看到密碼表的形成。同一個交換結果可以有好幾個控制碼可以對應。比如說從24個同構群選擇的密碼為:(52132,11212,21123,41221,2122),總共24碼。其中5代表從同構表(圖二十三)的第一個同構中(有6個),選擇第5個控制碼。其中2代表從同構表(圖二十三)的第二個同構中(有2個),選擇第2個控制碼。後面依此類推。此密碼表代表了光開關100網路只能接受以上密碼,才能找到對應的控制碼,才有24個成員結果都是正確的完整對應;又執行保密功能時,如果輸入的控制碼與預先存在保密器內的控制碼不吻合時,則不會執行光信號變換功能。 The following is an example of a confidentiality table. From Figure 23, we can see the formation of the password table. The same exchange result can correspond to several control codes. For example, the password selected from 24 isomorphism groups is: (52132, 11212, 21123, 41221, 2122), a total of 24 codes. 5 represents the selection of the 5th control code from the first isomorphism of the isomorphism table (Figure 23) (there are 6). 2 represents the selection of the 2nd control code from the second isomorphism of the isomorphism table (Figure 23) (there are 2). And so on. This password table means that the optical switch 100 network can only accept the above passwords to find the corresponding control code, and only then can the 24 members have a correct and complete correspondence; when executing the confidentiality function, if the input control code does not match the control code pre-stored in the security device, the optical signal conversion function will not be executed.

最簡控制碼:參考圖二十四,我們觀察控制碼表裡的第一組;可以發現(xy,uv,pq)裡的y永遠為0。如圖二十四的黑色框框所示。因此存在一組最簡控制方法;同構表中的第一列,原來的(xy,uv,pq)六個碼,可以簡化為(x,uv,pq)五個碼。 The simplest control code: Referring to Figure 24, we observe the first group in the control code table; we can find that y in (xy, uv, pq) is always 0. As shown in the black box in Figure 24. Therefore, there is a set of simplest control methods; the first column in the isomorphism table, the original six codes (xy, uv, pq), can be simplified to five codes (x, uv, pq).

100:光開關 100: Light switch

10:輸入2X2單元 10: Input 2X2 unit

11、11A、11B、11C、11D:第一輸入端 11, 11A, 11B, 11C, 11D: First input terminal

12、12A、12B、12C、12D:第一輸出端 12, 12A, 12B, 12C, 12D: first output terminal

20:輸出2X2單元 20: Output 2X2 unit

21、21A,21B,21C,21D:第二輸入端 21, 21A, 21B, 21C, 21D: Second input terminal

22、22A,22B,22C,22D:第二輸出端 22, 22A, 22B, 22C, 22D: Second output terminal

30:橋接2X2單元 30: Bridge 2X2 units

31、31A,31B,31C,31D:橋接單元輸入端 31, 31A, 31B, 31C, 31D: bridge unit input terminal

32、32A,32B,32C,32D:橋接單元輸出端 32, 32A, 32B, 32C, 32D: Bridge unit output terminal

40:控制碼信號輸入單元 40: Control code signal input unit

Claims (6)

一種具有保密功能之4x4光開關結構,其應用於光開關的通信傳輸,其中:該光開關內建二輸入2X2單元、二輸出2X2單元及二橋接2X2單元,總共有6個2X2單元;該二輸入2X2單元總共具有四個光信號輸入端,及該二輸出2X2單元四個輸出端,每個單元具有一個開關控制信號;其作用是:加上電壓代表開啟產生信號交換,不加電壓代表關閉,不產生信號交換;在網路交叉下,可形成該四個輸入端與四個輸入端的數種搭配的控制碼結果,加上數學理論上的同構效應,進而達到網路信號傳輸上的保密;其中,將該二輸入2X2單元定義為
Figure 111147867-A0305-02-0012-50
、該二輸出2X2單元定義為
Figure 111147867-A0305-02-0012-51
、該二橋接2X2單元定義為
Figure 111147867-A0305-02-0012-53
,前述該光開關的光信號傳輸下可得:
Figure 111147867-A0305-02-0012-54
,其中
Figure 111147867-A0305-02-0012-55
為一個4X4單元,具有6個控制碼。
A 4x4 optical switch structure with a confidentiality function is applied to optical switch communication transmission, wherein: the optical switch has two built-in input 2X2 units, two output 2X2 units and two bridge 2X2 units, with a total of 6 2X2 units; the two input 2X2 units have a total of four optical signal input terminals, and the two output 2X2 units have four output terminals, and each unit has a switch control signal; its function is: adding voltage represents opening to generate signal exchange, and not adding voltage represents closing, and no signal exchange is generated; under network crossover, the control code results of several combinations of the four input terminals and the four input terminals can be formed, and the isomorphism effect in mathematical theory is added to achieve confidentiality in network signal transmission; wherein, the two input 2X2 units are defined as
Figure 111147867-A0305-02-0012-50
, the two output 2X2 unit is defined as
Figure 111147867-A0305-02-0012-51
The two bridged 2X2 units are defined as
Figure 111147867-A0305-02-0012-53
, the above optical signal transmission of the optical switch can be obtained:
Figure 111147867-A0305-02-0012-54
,in
Figure 111147867-A0305-02-0012-55
It is a 4X4 unit with 6 control codes.
如請求項1所述具有保密功能之4x4光開關結構,其中該二輸入2X2單元為同水平並排設置,該二輸出2X2單元為同水平並排設置,而該二橋接2X2單元則位於該二輸入2X2單元、該二輸出2X2單元之間,且該二橋接2X2單元為上下間距層疊排列。 The 4x4 optical switch structure with a confidentiality function as described in claim 1, wherein the two input 2X2 units are arranged side by side at the same level, the two output 2X2 units are arranged side by side at the same level, and the two bridge 2X2 units are located between the two input 2X2 units and the two output 2X2 units, and the two bridge 2X2 units are arranged in layers with upper and lower spacing. 如請求項2所述之具有保密功能之4x4光開關結構,其中:該二輸出2X2單元10,(x,y):具四第一輸入端11各為,11A,11B,11C,11D;及四第一輸出端12各為,12A,12B,12C,12D;該二輸出2X2單元20,(p,q):具四第二輸入端21各為,21A,21B,21C,21D;及四第二輸出端22各為,22A,22B,22C,22D; 該二橋接2X2單元30,(u,v):具四橋接單元輸入端31各為,31A,31B,31C,31D;及四橋接單元輸出端32各為,32A,32B,32C,32D;其中,12A與31C連結,12B與31A連結,12C與31B連結,12D與31D連結;32A與21B連結,32B與21C連結,32C與21A連結,32D與21D連結;以上的連結都是光信號的連結。 The 4x4 optical switch structure with a confidentiality function as described in claim 2, wherein: the two output 2X2 units 10, (x, y): have four first input terminals 11, 11A, 11B, 11C, 11D respectively; and four first output terminals 12, 12A, 12B, 12C, 12D respectively; the two output 2X2 units 20, (p, q): have four second input terminals 21, 21A, 21B, 21C, 21D respectively; and four second output terminals 22, 22A, 22B, 22C, 22D respectively; The two bridge 2X2 units 30, (u, v): have four bridge unit input terminals 31, 31A, 31B, 31C, 31D; and four bridge unit output terminals 32, 32A, 32B, 32C, 32D; wherein, 12A is connected to 31C, 12B is connected to 31A, 12C is connected to 31B, 12D is connected to 31D; 32A is connected to 21B, 32B is connected to 21C, 32C is connected to 21A, 32D is connected to 21D; the above connections are all optical signal connections. 如請求項1至3中任一項所述之具有保密功能之4x4光開關結構,其中該二輸入2X2單元、二輸出2X2單元及該二橋接2X2單元之內部進一步分別內建透鏡單元(由聚焦形液晶透鏡組與另一群反向的聚焦液晶透鏡組在焦點處相結合),形成一個2X2信號交換器;當兩個透鏡單元加上電壓,兩個信號交換對調;當兩個透鏡單元不加上電壓,兩個信號直通而過,不對調。 A 4x4 optical switch structure with a security function as described in any one of claims 1 to 3, wherein the two input 2X2 units, the two output 2X2 units and the two bridge 2X2 units further have built-in lens units (a focusing liquid crystal lens group and another group of reverse focusing liquid crystal lens groups combined at the focal point) to form a 2X2 signal exchanger; when voltage is applied to the two lens units, the two signals are exchanged and swapped; when no voltage is applied to the two lens units, the two signals pass directly and are not swapped. 如請求項4所述之具有保密功能之4x4光開關結構,其中在該光開關的該二輸入2X2單元、該二輸出2X2單元及該二橋接2X2單元進一步分別形成兩個2X2單元及二控制碼,且以
Figure 111147867-A0305-02-0013-56
運算後產生64個交換結果,其中不重複的有24個同構群,24個同構群可形成4X4完整的交換,又24個同構群可進一步形成控制碼表格(x,y,u,v,p,q),又每個同構群可以選擇對應的控制碼群中的一個碼,並以構成一個24字的密碼;又執行保密功能時,如果輸入的控制碼與預先存在保密器內的控制碼不吻合時,則不會執行光信號變換功能。
The 4x4 optical switch structure with a security function as described in claim 4, wherein the two input 2X2 units, the two output 2X2 units and the two bridge 2X2 units of the optical switch further form two 2X2 units and two control codes respectively, and
Figure 111147867-A0305-02-0013-56
After the operation, 64 exchange results are generated, of which 24 are non-repeating isomorphism groups. The 24 isomorphism groups can form a 4X4 complete exchange, and the 24 isomorphism groups can further form a control code table (x, y, u, v, p, q). Each isomorphism group can select a code from the corresponding control code group to form a 24-word password. When executing the security function, if the input control code does not match the control code pre-stored in the security device, the optical signal conversion function will not be executed.
如請求項5所述之具有保密功能之4x4光開關結構,其中,(xy,uv,pq)六個碼,可以簡化為(x,uv,pq)五個碼,(xy,uv,pq)裡的y永遠為0存在一組最簡控制方法。 As described in claim 5, the 4x4 optical switch structure with a confidentiality function, wherein the six codes (xy, uv, pq) can be simplified to the five codes (x, uv, pq), and the y in (xy, uv, pq) is always 0. There exists a set of simplest control methods.
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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6347168B1 (en) * 1999-01-28 2002-02-12 Nec Corporation Optical switch and optical switch system
TWI483016B (en) * 2013-09-10 2015-05-01 Univ Nat Taiwan Science Tech Optical switch
US9612412B2 (en) * 2013-10-31 2017-04-04 The United States Of America As Represented By The Secretary Of The Army Optical device for beam combining and/or routing and method
CN113409498B (en) * 2021-07-21 2022-11-22 叶斌 Light-operated lock
CN115380507A (en) * 2020-03-26 2022-11-22 唯景公司 Access and messaging in a multi-client network

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6347168B1 (en) * 1999-01-28 2002-02-12 Nec Corporation Optical switch and optical switch system
TWI483016B (en) * 2013-09-10 2015-05-01 Univ Nat Taiwan Science Tech Optical switch
US9612412B2 (en) * 2013-10-31 2017-04-04 The United States Of America As Represented By The Secretary Of The Army Optical device for beam combining and/or routing and method
CN115380507A (en) * 2020-03-26 2022-11-22 唯景公司 Access and messaging in a multi-client network
CN113409498B (en) * 2021-07-21 2022-11-22 叶斌 Light-operated lock

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