Optical cable laying method
By embedding optical cables in serpentine patterns or using installation belts with cuts or grooves on road or wall surfaces, the method addresses the challenge of securing excess cable length, enabling efficient and economical cable connections.
Patent Information
- Application Number
- JP2023528837
- Authority / Receiving Office
- JP · JP
- Patent Type
- Patents
- Current Assignee / Owner
- Filing Date
- 2021-06-16
- Publication Date
- 2025-09-02
- Estimated Expiration
- 2041-06-16
AI Technical Summary
Securing an excess length of optical cable is difficult when laying it on road surfaces or walls, which lack the wide space available underground or in the air, making connections challenging and economically undesirable.
The optical cable laying method involves embedding or laying the cable in a serpentine manner or using installation belts with cuts or grooves on road or wall surfaces to ensure a length longer than the shortest distance between two points, allowing for excess cable length to be created or relocated as needed.
This method ensures an excess length of optical cable can be secured on road or wall surfaces, facilitating easy connections and reducing the need for additional cable laying, thus enhancing economic efficiency and speed.
Smart Images

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Abstract
Description
[Technical Field]
[0001] The present disclosure relates to an optical cable installation method. [Background technology]
[0002] Currently, optical cables are laid underground and in the air to bring them to users' homes. When connecting an optical cable to another optical cable (see, for example, Patent Document 1), or when cutting back and connecting a faulty section of an optical cable when it breaks down, the excess cable length is used to provide a connection point. When laying optical cables underground, the optical cables are routed in places where a certain amount of space is secured, such as communication tunnels, manholes, and handholes. On the other hand, when laying optical cables in the air, the optical cables are strung between utility poles. Whether underground or in the air, there is a large amount of space, and efforts have been made to secure excess cable length by utilizing this space.
[0003] Meanwhile, in recent years, in order to meet the ever-increasing demand for optical communications, in addition to the above-mentioned cases of laying optical cables underground or in the air, optical cables are also sometimes laid on road surfaces in order to lay optical cables more economically and quickly (see, for example, Non-Patent Document 1). [Prior art documents] [Patent documents]
[0004] [Patent Document 1] Patent No. 5015083 (NTT) [Non-patent literature]
[0005] [Non-Patent Document 1] Strain Sensing of an In-Road FTTH Field Trial and Implications for Network Reliability, Proc. of IWCS (2019) Summary of the Invention [Problem to be solved by the invention]
[0006] However, when laying optical cables on road surfaces or walls, there is no wide space like underground or in the air, making it difficult to ensure an excess length.
[0007] On the other hand, if the excess length of the optical cable cannot be secured, even if a connection becomes necessary after the optical cable has been laid, it will be difficult to carry out the connection. In this case, it will be necessary to lay an additional optical cable, which is undesirable from the viewpoints of economy and speed of laying the optical cable. Therefore, it is necessary to secure the excess length of the optical cable.
[0008] The present disclosure is intended to solve the above-mentioned problem, and aims to ensure an excess length of an optical cable when laying the optical cable on a road surface or a wall surface. [Means for solving the problem]
[0009] To achieve the above object, the optical cable laying method of the present disclosure lays an optical cable on a road surface or a wall surface so that the optical cable passes between two points over a distance longer than the shortest distance.
[0010] For example, the optical cable laying method according to the present disclosure includes: A laying belt for embedding an optical cable is installed on the road surface or the wall surface; One or more cuts are formed in the installed laying belt so that the distance between two points is longer than the shortest distance, An optical cable is embedded in one of the formed notches.
[0011] For example, the optical cable laying method according to the present disclosure includes: A laying strip having one or more cuts formed in advance so that the strip passes between two points over a distance longer than the shortest distance is installed on the road surface or the wall surface; An optical cable is embedded in one of the notches in the installed installation strip.
[0012] For example, the optical cable laying method according to the present disclosure includes: a laying belt for laying an optical cable is installed on the road surface or the wall surface; Forming a strip-shaped notch in the installed laying strip; An optical cable is laid so that it passes between two points within the formed band-shaped cut at a distance longer than the shortest distance.
[0013] For example, the optical cable laying method according to the present disclosure includes: A laying strip having a strip-shaped cut formed in advance is installed on the road surface or the wall surface; An optical cable is laid so that it passes between two points within the strip-shaped notch of the installed laying strip over a distance longer than the shortest distance.
[0014] For example, the optical cable laying method according to the present disclosure includes: The optical cable and the two laying strips are laid on the road surface or the wall surface so that the optical cable is sandwiched between the side surfaces of the two laying strips, which have an uneven shape with interlocking sides.
[0015] For example, the optical cable laying method according to the present disclosure includes: Two installation belts are laid with a space between them, and an optical cable is laid on the road surface or the wall surface so as to pass through the space between two points over a distance longer than the shortest distance.
[0016] For example, the optical cable laying method according to the present disclosure includes: One or more grooves are formed on the road surface or the wall surface so that the distance between two points is longer than the shortest distance; An optical cable is embedded in one of the formed grooves.
[0017] For example, the optical cable laying method according to the present disclosure includes: forming a band-shaped groove on the road surface or the wall surface; An optical cable is laid in the formed belt-shaped groove so that it passes between two points over a distance longer than the shortest distance.
[0018] For example, in the optical cable laying method according to the present disclosure, Passing between the two points over a distance longer than the shortest distance means passing between the two points in a meandering manner.
[0019] The above inventions can be combined as much as possible. [Effects of the Invention]
[0020] According to the present disclosure, when laying an optical cable on a road surface or a wall surface, an excess length of the optical cable can be secured. [Brief explanation of the drawings]
[0021] [Figure 1] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 2] 10A and 10B are diagrams illustrating the formation of an excess length of an optical cable. [Figure 3] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 4] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 5] 10A and 10B are diagrams illustrating the formation of an excess length of an optical cable. [Figure 6] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 7] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 8] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 9] 1A and 1B are diagrams illustrating a method for protecting an optical cable. [Figure 10] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 11] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 12] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 13] 1A and 1B are diagrams illustrating a method for protecting an optical cable. [Figure 14] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 15] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 16]10A and 10B are diagrams illustrating the formation of an excess length of an optical cable. [Figure 17] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 18] 1A and 1B are diagrams illustrating a method for laying an optical cable. [Figure 19] 1A and 1B are diagrams illustrating a method for protecting an optical cable. DETAILED DESCRIPTION OF THE INVENTION
[0022] Hereinafter, embodiments of the present disclosure will be described in detail with reference to the drawings. Note that the present disclosure is not limited to the embodiments shown below. These implementation examples are merely illustrative, and the present disclosure can be implemented in various forms with various modifications and improvements based on the knowledge of those skilled in the art. Note that components with the same reference numerals in this specification and drawings indicate the same components.
[0023] In the drawings of the following embodiment, 1 represents a road surface, 2 an optical cable, 4 a notch, and 5 a groove. In the following embodiment, a case where an optical cable 2 is laid on a road surface 1 will be described, but the same applies when the optical cable 2 is laid on a wall surface (not shown).
[0024] (Embodiment 1) An example of an optical cable laying method of the present disclosure will be described with reference to Fig. 1. In the optical cable laying method of this embodiment, an optical cable 2 is laid in a serpentine manner so as not to pass between two points on a road surface 1 in the shortest distance. The laying shape of the optical cable 2 is not limited to the laying shape shown in Fig. 1, as long as the cable length of the laid optical cable 2 is longer than the shortest possible distance for the optical cable 2 to be laid. Furthermore, the road surface 1 as the location where the cable is installed is one example, and the cable may also be installed on a wall surface, etc.
[0025] The laid optical cable 2 is fixed in a serpentine state onto the road surface 1. Any fixing method can be used as long as it allows the fixing to be removed when forming an excess length of the optical cable 2. For example, the optical cable 2 may be fixed to the road surface 1 using a fixture such as a wiring fastener, or may be bonded to the road surface 1 with an adhesive.
[0026] It is preferable to cover the laid optical cable 2 with any protective equipment. For example, a laying belt may be installed on the road surface 1 so as to cover the optical cable 2. This makes it possible to protect the optical cable 2.
[0027] A method for creating an excess length of the optical cable 2 will be explained with reference to Figure 2. As shown in Figure 2, the length of the laid optical cable 2 between any two points A and B (hereinafter, "between A and B" will be abbreviated as "between AB") is defined as Lc, and the linear distance between AB is defined as L. By unfastening the optical cable 2 between AB and then re-laying the unfastened optical cable 2 in a straight line between AB, an excess length of up to Lc - L can be created. Alternatively, the unfastened optical cable 2 may be re-laid between AB in a meandering pattern with a small amplitude.
[0028] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface.
[0029] (Embodiment 2) An example of the optical cable laying method of the present disclosure will be described with reference to Figures 3 and 4. 3 denotes the laying belt. The laying belt 3 is preferably made of an elastic material such as rubber or resin so that it can smoothly conform to the unevenness of the road surface 1 and absorb lateral pressure from above the laying belt. If the laying belt 3 is long, it can be wound up in a roll to facilitate transportation to the laying site. If the laying belt 3 is shortened and made into tiles, it can be stacked for transportation.
[0030] Fig. 3 shows the laying belt 3 with the cut 4 formed therein. The cut 4 for laying the optical cable 2 is formed in a meandering manner at the position on the laying belt 3 where the optical cable 2 is expected to be laid, so as not to pass between two points on the road surface 1 in the shortest distance. The shape of the cut 4 may be any shape as long as the length of the optical cable 2 laid in the cut 4 is longer than the shortest possible distance for the optical cable 2 to be laid, and is not limited to the shape of the cut shown in Fig. 3.
[0031] The laying strip 3 may be installed on the road surface 1 or a wall surface (not shown) before the incision 4 is formed, or it may be installed after the incision 4 is formed. If the laying strip 3 is installed on the road surface 1 or a wall surface (not shown) and then the incision 4 is formed, the incision 4 can be formed in a desired position and with a desired shape depending on the environment in which the laying strip 3 is to be installed. When installing the laying strip 3 on the road surface 1, fixing it to the road surface 1 with adhesive will stabilize the laying strip 3. The same applies when installing the laying strip 3 not only on the road surface 1 but also on a wall surface (not shown).
[0032] Fig. 4 shows the situation in which the optical cable 2 is embedded in the installation belt 3. As shown in Fig. 4, the optical cable 2 is embedded in the meandering slit 4. It is preferable that the installation belt 3 be made of an elastic material so that the cut end of the slit 4 closes after the optical cable 2 is embedded.
[0033] A method for forming an excess length of the optical cable 2 will be described with reference to Figure 5. As shown in Figure 5, a new slit 4 is formed in the laying band 3 so as to connect any two points A and B (hereinafter, "between A and B" will be abbreviated as "between AB") in a straight line. Here, the optical cable length between AB is defined as Lc, and the linear distance between AB is defined as L. By re-laying the optical cable 2 in the newly formed slit 4, an excess length of up to Lc - L can be formed. Alternatively, the newly formed slit 4 may be formed so as to connect between AB in a meandering pattern with a small amplitude, and the optical cable 2 may be re-laid in the newly formed slit 4.
[0034] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface.
[0035] (Embodiment 3) An example of the optical cable laying method of the present disclosure will be described with reference to Figures 6 and 7. Reference numeral 3 denotes a laying belt. The laying belt 3 according to this embodiment has the same configuration and installation method as in the second embodiment, except for the incision 4.
[0036] FIG. 6 shows a laying belt 3 in which a plurality of incisions 4 are formed. A plurality of serpentine incisions 4 are formed in the laying belt 3 for laying the optical cable 2. The method for forming each of the plurality of incisions 4 is the same as in embodiment 2. Furthermore, as shown in FIG. 4, a plurality of incisions 4 may be formed so that they intersect with each other. When the plurality of incisions 4 intersect, the plurality of incisions 4 are connected to each other, allowing the optical cable 2 to be laid more freely.
[0037] Fig. 7 shows the state in which the optical cable 2 is embedded in the laying belt 3. The optical cable 2 can be laid in any of the multiple notches 4 shown in Fig. 7. Furthermore, the optical cable 2 can be moved to any of the notches 4 depending on the required extra length.
[0038] Furthermore, the notch 4 can be freely formed later depending on the required extra length. For example, as described in the second embodiment, a new notch 4 may be formed so as to connect any two points of the embedded optical cable 2 in a straight line or in a meandering pattern with a small amplitude. In this case, the extra length can be formed by relocating the optical cable 2, as in the second embodiment.
[0039] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface.
[0040] (Embodiment 4) An example of the optical cable laying method of the present disclosure will be described with reference to Fig. 8. Reference numeral 3 denotes a laying belt. The laying belt 3 according to this embodiment has the same configuration and installation method as in the second embodiment, except for the incision 4.
[0041] FIG. 8 shows the laying of an optical cable 2 in a laying strip 3 with a cut 4 formed therein. A strip-shaped cut 4 for laying the meandering optical cable 2 is formed in the laying strip 3 at a position where the optical cable 2 is expected to be laid. The width and thickness of the strip-shaped cut 4 are at least larger than the diameter of the optical cable 2. The laying strip 3 may be installed on the road surface 1 before the strip-shaped cut 4 is formed, or it may be installed after the cut 4 is formed. It is preferable to form the strip-shaped cut 4 before installing the laying strip 3 on the road surface 1 or a wall surface (not shown). When installing the laying strip 3 on the road surface 1, fixing it to the road surface 1 with adhesive will stabilize the laying strip 3. The same applies when installing the laying strip 3 not only on the road surface 1 but also on a wall surface (not shown).
[0042] In the optical cable laying method of this embodiment, as shown in Fig. 8, the optical cable 2 is laid in a serpentine manner within the slit 4 so as not to pass between any two points in the shortest distance. The laying shape and fixing method of the optical cable 2 are the same as those of the first embodiment. Furthermore, the optical cable 2 can be freely moved within the strip-shaped slit 4 depending on the required extra length. Furthermore, the extra length can also be formed using the same method as in the first embodiment.
[0043] Fig. 9 shows a state in which another installation belt 13 is placed over the installation belt 3. As shown in Fig. 9, another installation belt 13 may be placed over the installation belt 3 so as to cover at least the strip-shaped cut 4. This makes it possible to protect the optical cable 2.
[0044] The shape of the strip-like notch 4 shown in FIGS. 8 and 9 is an example, and other shapes may be used as long as the optical cable 2 can be laid in a serpentine manner within the notch 4.
[0045] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface.
[0046] (Embodiment 5) An example of the optical cable laying method of the present disclosure will be described with reference to Figures 10 and 11. Reference numerals 31 and 32 denote laying belts. The laying belts 31 and 32 have the same configuration as the laying belt 3 of the second embodiment except for the shape of the notches and side surfaces.
[0047] 10 shows the laying belts 31, 32, and the state of laying the optical cable 2. As shown in FIG. 10, the laying belts 31 and 32 have an uneven shape with their side surfaces interlocking with each other.
[0048] The laying belt 31 is laid on the road surface 1. The optical cable 2 is laid along the uneven side surface of the laid laying belt 31. The laying belt 32 is laid on the road surface 1 so that the optical cable 2 is sandwiched between the interlocking uneven side surfaces of the laying belts 31 and 32. When laying the laying belts 31 and 32 on the road surface 1, the two laying belts 31 and 32 are stabilized by fixing them to the road surface 1 with adhesive. The same applies when laying the laying belts 31 and 32 not only on the road surface 1 but also on a wall surface (not shown). The order of laying the laying belts 31 and 32 may be reversed.
[0049] 10, the laying belt 31 is laid on the road surface 1 or a wall surface, then the optical cable 2 is laid, the laying belt 32 is laid, and the optical cable 2 is sandwiched between them, but the optical cable 2 may be laid after the laying belts 31 and 32 are laid. With the optical cable 2 sandwiched between the laying belts 31 and 32, they may be laid together on the road surface 1 or a wall surface.
[0050] 11 shows the state in which the optical cable 2 is sandwiched between the side surfaces of the laying belts 31 and 32. By aligning the optical cable 2 with the uneven shapes on the side surfaces of the two laying belts 31 and 32, the optical cable 2 can be laid in a serpentine manner so that the cable length is longer than the shortest possible laying distance.
[0051] As in embodiment 2, a new cut can be made in the two laying strips 31 and 32 so as to connect any two points of the embedded optical cable 2 in a straight line or in a serpentine pattern with a small amplitude, and the optical cable 2 can be re-installed to create excess length.
[0052] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface.
[0053] (Embodiment 6) An example of the optical cable laying method of the present disclosure will be described with reference to Fig. 12. Reference numerals 31 and 32 denote laying belts. The laying belts 31 and 32 have the same configuration as the laying belt 3 of the second embodiment except for the cuts.
[0054] FIG. 12 shows the state in which the laying belts 31, 32, and optical cable 2 have been laid. As shown in FIG. 12, the two laying belts 31 and 32 are laid with a space 6 between them, and the optical cable 2 is laid in a serpentine manner on the road surface 1 within the space 6. The laying belts 31, 32, and optical cable 2 may be laid in any order. Specifically, the optical cable 2 may be laid in a serpentine manner, and then the laying belts 31 and 32 may be laid one by one on either side of the optical cable 2, or simultaneously. Alternatively, the laying belts 31 and 32 may be laid with a space 6 between them, and at the same time the optical cable 2 may be laid in a serpentine manner on the road surface 1 within the space 6.
[0055] When laying the construction belts 31 and 32 on the road surface 1, the construction belts 31 and 32 can be stabilized by fixing them to the road surface 1 with adhesive. The same applies when laying the construction belts 31 and 32 not only on the road surface 1 but also on a wall surface (not shown).
[0056] The laying shape and fixing method of the optical cable 2 are the same as those in the first embodiment. Furthermore, the optical cable 2 can be freely moved within the space 6 depending on the required extra length. Furthermore, the extra length can be formed in the same way as in the first embodiment.
[0057] 13 shows a state in which another installation belt 13 is placed over the installation belts 31 and 32. Another installation belt 13 may be placed over the installation belts 31 and 32 so as to cover at least the space 6. This makes it possible to protect the optical cable 2.
[0058] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface.
[0059] (Embodiment 7) An example of the optical cable laying method of the present disclosure will be described with reference to FIGS.
[0060] Fig. 14 shows a road surface 1 with a groove 5 formed therein. The groove 5 for laying the optical cable 2 is formed in a meandering manner at the position on the road surface 1 where the optical cable 2 is expected to be laid, so as not to pass through the shortest distance between two points on the road surface 1. The shape of the groove 5 may be any shape that makes the cable length of the optical cable 2 laid in the groove 5 longer than the shortest distance that the optical cable 2 can be laid, and is not limited to the shape of the groove shown in Fig. 14.
[0061] Fig. 15 shows the situation where the optical cable 2 is embedded in the groove 5. The optical cable 2 is laid so as to be embedded in the meandering groove 5. The road surface 1 as the location where the cable is installed is one example, and the cable may be installed on a wall surface, for example.
[0062] A method for forming an excess length of the optical cable 2 will be described with reference to FIG. 16. As shown in FIG. 16, a new groove 5 is formed in the road surface 1 so as to connect any two points A and B (hereinafter, "between A and B" will be abbreviated as "between AB") in a straight line. Here, the optical cable length between AB is defined as Lc, and the linear distance between AB is defined as L. By re-laying the optical cable 2 in the newly formed groove 5, an excess length of up to Lc-L can be formed. Alternatively, the newly formed groove 5 may be formed so as to connect between AB in a meandering manner with a small amplitude, and the optical cable 2 may be re-laid in the newly formed groove 5.
[0063] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface.
[0064] (Embodiment 8) FIG. 17 shows a road surface 1 on which a plurality of grooves 5 are formed. A plurality of serpentine grooves 5 for laying optical cables 2 are formed on the road surface 1. The method for forming each of the plurality of grooves 5 is the same as in embodiment 7. Also, as shown in FIG. 17, a plurality of grooves 5 may be formed so that they intersect with each other. By intersecting the plurality of grooves 5, the plurality of grooves 5 are connected to each other, allowing the optical cables 2 to be laid more freely.
[0065] The optical cable 2 can be laid in any of the grooves 5 shown in Fig. 17. Furthermore, the optical cable 2 can be freely moved to any of the grooves 5 depending on the required extra cable length.
[0066] The groove 5 can also be freely formed later depending on the required extra length. For example, as described in the seventh embodiment, a new groove 5 can be formed so as to connect any two points of the embedded optical cable 2 in a straight line or in a meandering pattern with a small amplitude. In this case, the extra length can be formed by relocating the optical cable 2, as in the seventh embodiment.
[0067] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface.
[0068] (Embodiment 9) 18 illustrates the situation in which an optical cable 2 is laid on a road surface 1 in which a groove 5 has been formed. A strip-shaped groove 5 for laying the meandering optical cable 2 is formed on the road surface 1 at a position where the optical cable 2 is expected to be laid. The width and thickness of the strip-shaped groove 5 are at least larger than the diameter of the optical cable 2.
[0069] In the optical cable laying method of this embodiment, as shown in Fig. 18, the optical cable 2 is laid in a groove 5 in a meandering manner so as not to pass between any two points in the shortest distance. The laying shape and fixing method of the optical cable 2 are the same as those of the first embodiment. Furthermore, the optical cable 2 can be freely moved within the band-shaped groove 5 depending on the required slack length. Furthermore, slack length can also be formed in the same manner as in the first embodiment.
[0070] Fig. 19 shows a state in which another laying belt 13 is laid over the road surface 1. As shown in Fig. 19, another laying belt 13 may be laid over the road surface 1 so as to cover at least the strip-shaped groove 5. This makes it possible to protect the optical cable 2.
[0071] The shape of the strip-shaped groove 5 shown in FIGS. 18 and 19 is an example, and other shapes may be used as long as the optical cable 2 can be laid in the groove 5 in a meandering manner.
[0072] According to the optical cable laying method of this embodiment, it is possible to ensure an excess length of the optical cable when laying the optical cable on a road surface or a wall surface. [Industrial Applicability]
[0073] The optical cable laying method according to the present disclosure can be applied to the information and communications industry. [Explanation of symbols]
[0074] 1: Road surface 2: Optical cable 3, 31, 32: Construction zone 4: Cutting 5: Groove 6: Space 13: Other construction zones
Claims
1. A laying strip for embedding the optical cable is installed on the road surface or wall surface, One or more cuts are formed in the installed laying belt so that the distance between two points is longer than the shortest distance; An optical cable is embedded in one of the formed notches. Optical cable installation method.
2. A laying belt for laying optical cables is installed on the road surface or wall surface, Forming a strip-shaped notch in the installed laying strip; An optical cable is laid so that it passes between two points within the formed band-shaped cut at a distance longer than the shortest distance. Optical cable installation method.
3. A strip-shaped groove is formed on a road surface or wall surface so that the distance between two points is longer than the shortest distance, An optical cable is laid so as to pass between two points in the formed belt-shaped groove over a distance longer than the shortest distance and to be movable within the belt-shaped groove. Optical cable installation method.
4. 4. The optical cable laying method according to claim 1, wherein the optical cable passes between the two points over a distance longer than the shortest distance by passing between the two points in a meandering manner.
Citation Information
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