Optical fiber coil winding device and method for optical fiber guidance unmanned aerial vehicle

Abstract

The invention provides an optical fiber coil winding device and method for an optical fiber guidance unmanned aerial vehicle, and the device comprises an optical fiber feeding device which is used for providing an optical fiber coil to be wound, the optical fiber feeding device comprises an optical fiber feeding coil and an optical fiber feeding coil support, and the optical fiber feeding coil sleeves a fixed shaft of the optical fiber feeding coil support; the outgoing line guiding device comprises a gear and a rotation driving device, one end of the gear is connected with the side face of the optical fiber feeding roll support, the other end of the gear is connected with the rotation driving device, and the rotation driving device drives the gear to rotate. And the rotation direction of the gear is perpendicular to the rotation direction of the optical fiber feeding coil during wire outgoing. The ring-shaped retention effect of the optical fiber in the releasing process can be reduced, the optical fiber is more smoothly and linearly released, the stability and smoothness of the optical fiber releasing process are achieved, and the durability of the optical fiber and the flight stability and task execution efficiency of the optical fiber guided unmanned aerial vehicle are remarkably improved.

Description

Technical Field

[0001] The present invention relates to the field of optical fiber guidance technology, and in particular to an optical fiber winding device and method for an optical fiber guided unmanned aerial vehicle. Background Art

[0002] Fiber-optic guided drones use optical fiber as the transmission medium for data transmission and control signals, which has the obvious advantages of strong resistance to electromagnetic interference and high link security. However, in the process of fiber winding and releasing, the traditional winding method has certain technical bottlenecks, which affects the stability and reliability of the fiber output, and may further affect the flight stability of the drone and the fiber transmission performance.

[0003] At present, the winding of optical fiber usually adopts a layer-by-layer winding method, that is, the optical fiber is arranged in circles (concentric circle structure) and wound on the take-up reel (optical fiber reel) in sequence, such as the optical fiber winding method and device for optical fiber drones disclosed in patent application number 202411502140.9. However, when the drone is performing a mission, the optical fiber needs to be gradually and continuously released from the reel. During the line-out process, the optical fiber will retain a ring structure when it is released due to the stacked structure of the winding and the influence of the winding method. That is, after the release of the optical fiber, it still presents a naturally curved circle shape, rather than a straight line shape, and it will inevitably undergo a certain degree of bending deformation. This phenomenon may bring the following problems:

[0004] (1) Fiber bending loss: The signal transmission performance of optical fiber is greatly affected by the bending radius. Excessive bending may cause signal attenuation or even interruption.

[0005] (2) Risk of fracture due to structural fatigue: The optical fiber is in a state of repeated circular bending for a long time, which is prone to form a minimum bending radius effect, causing excessive stress on the local optical fiber. Due to stress concentration, the optical fiber may be deformed or damaged, and its mechanical strength may be reduced, increasing the risk of optical fiber deformation, signal loss, and even fracture during use, affecting the reliability of the UAV mission.

[0006] (3) The optical fiber path is uncontrollable: After the optical fiber is released, it may swing, intertwine or entangle due to its ring shape, affecting the flight stability of the UAV.

[0007] (4) Increased resistance during the release process: Since the optical fiber still retains a ring structure during the release process, the optical fibers may be entangled with each other or rub against the edge of the optical fiber disk, increasing the release resistance and affecting the smoothness of the UAV movement.

[0008] In view of the above problems, it is necessary to propose an improved optical fiber winding device and method.

[0009] After searching, it was found that the Chinese invention patent with application publication number CN108675045A discloses a rewinding device for manufacturing twist-free polarization-maintaining optical fiber, including a fiber release system, a first steering guide wheel, a back-twist device and a fiber collection disk arranged in sequence along the optical fiber delivery direction; a second optical fiber torsion sensing device for measuring the second torsion information during fiber collection is provided next to the fiber collection disk, and a first optical fiber torsion sensing device for measuring the first torsion information during fiber release is provided next to the fiber release system; the rewinding device also includes a control system connected to the fiber release system, the first optical fiber torsion sensing device, the second optical fiber torsion sensing device, the back-twist device and the fiber collection disk, which is used to receive the first torsion information and the second torsion information and control the back-twist device to back-twist the optical fiber according to the first torsion information and the second torsion information, and control the fiber release system to release the fiber and the fiber collection disk to collect the fiber. It actually monitors the torsion angle and torsion direction of the optical fiber in real time; according to the measured torsion direction and torsion angle, the back-twist device back-twists, thereby realizing efficient, fast and high-quality twist-free rewinding of the entire optical fiber. The fiber twist in the prior art mainly refers to the fact that during the fiber rewinding process, the fiber may twist itself due to uneven tension, winding method or mechanical movement, thereby affecting the polarization stability of the polarization-maintaining fiber. If the fiber twists during the manufacturing or rewinding process, its polarization characteristics will change, thereby affecting its performance in high-precision optical applications (such as fiber gyroscopes, fiber sensors, etc.). This technology cannot solve the problem of the fiber remaining in a coiled shape after winding. Summary of the invention

[0010] In view of the defects in the prior art, the purpose of the present invention is to provide a fiber optic winding device and method for a fiber optic guided UAV, so as to reduce the entanglement and deformation problems caused by the optical fiber maintaining a loop structure during the release process.

[0011] The objective of the present invention is achieved through the following technical solutions:

[0012] According to one aspect of the present invention, there is provided an optical fiber winding device for an optical fiber guided unmanned aerial vehicle, comprising:

[0013] An optical fiber feeding device, used for providing an optical fiber coil to be wound, the optical fiber feeding device comprising an optical fiber feeding coil and an optical fiber feeding coil support, the optical fiber feeding coil being sleeved on a fixed shaft of the optical fiber feeding coil support;

[0014] The outgoing line guiding device includes a gear and a rotating drive device, one end of the gear is connected to the side of the optical fiber supply reel support, and the other end of the gear is connected to the rotating drive device. The rotating drive device drives the gear to rotate, and the rotation direction of the gear is perpendicular to the rotation direction of the optical fiber supply reel when the line is outgoing.

[0015] Optionally, the optical fiber feeding device further comprises a tension adjusting device, through which the outgoing optical fiber of the optical fiber feeding reel passes, and the tension adjusting device is used to adjust the tension of the outgoing optical fiber of the optical fiber feeding reel.

[0016] Optionally, the tension adjustment device adopts a damping ring device.

[0017] Optionally, the damping ring device comprises:

[0018] A fixing base, used to provide support and installation foundation;

[0019] A damping ring, wherein the outgoing optical fiber of the optical fiber supply reel is closely attached to the inner top of the damping ring and passes through the damping ring;

[0020] A connecting wire, one end of which is connected to the upper surface of the fixing seat, and the other end of which is connected to the bottom end of the damping ring. During the optical fiber winding process, the outgoing optical fiber of the optical fiber supply reel pulls the damping ring, thereby straightening the connecting wire.

[0021] Optionally, the tension adjustment device is located 0.1m to 0.2m in front of the outgoing optical fiber of the optical fiber supply reel.

[0022] Optionally, the rotation drive device adopts an electric motor.

[0023] According to another aspect of the present invention, a method for winding an optical fiber of an optical fiber-guided unmanned aerial vehicle is provided, which is implemented by using the above-mentioned optical fiber-guided unmanned aerial vehicle optical fiber winding device, and the method comprises:

[0024] Providing a roll of optical fiber to be wound;

[0025] During the optical fiber output process of the optical fiber reel to be wound, a lateral rotational force is applied to the output optical fiber, so that the output optical fiber generates axial rotational motion before entering the winding area, and the rotation direction of the rotational motion is perpendicular to the rotation direction of the optical fiber supply reel when it is output.

[0026] Optionally, providing the optical fiber roll to be wound includes: adjusting the tension of the outgoing optical fiber of the optical fiber roll to be wound.

[0027] Optionally, the tension of the outgoing optical fiber of the optical fiber roll to be wound is adjusted, including: setting a damping ring device in front of the outgoing optical fiber of the optical fiber roll to be wound, and the outgoing optical fiber passes through the top inner part of the damping ring of the damping ring device.

[0028] Optionally, the angular velocity ω of the rotational motion satisfies Wherein, v is the linear velocity of the optical fiber release, and r is the radius of the optical fiber supply reel.

[0029] Compared with the prior art, the present invention has at least one of the following beneficial effects:

[0030] The present invention drives the gear to rotate through a rotary drive device, and then drives the optical fiber supply reel bracket to rotate the optical fiber supply reel, so that the outlet optical fiber forms a lateral rotation. On the one hand, the lateral rotation outlet technology can achieve the purpose of generating opposite deformation during the optical fiber winding process, and solves the problem of the ring structure being too obvious during the optical fiber winding, thereby effectively reducing the bending and winding of the optical fiber caused by the ring structure during the release process; on the other hand, through deformation compensation during the winding process, smooth outlet of the optical fiber can be achieved when it is released, and the problem of increased resistance of the optical fiber caused by the ring structure in the traditional winding method is solved, thereby improving the durability of the optical fiber and the signal transmission quality.

[0031] The present invention can reduce the loop retention effect of the optical fiber during the release process, make the optical fiber be released more smoothly and linearly, achieve stability and smoothness in the optical fiber release process, and significantly improve the durability of the optical fiber as well as the flight stability and mission execution efficiency of the optical fiber-guided UAV. BRIEF DESCRIPTION OF THE DRAWINGS

[0032] Other features, objects and advantages of the present invention will become more apparent from the detailed description of non-limiting embodiments made with reference to the following drawings:

[0033] Figure 1 It is a partial structural schematic diagram of an optical fiber winding device for an optical fiber-guided UAV in one embodiment of the present invention;

[0034] Figure 2 It is a schematic structural diagram of a damping ring device in one embodiment of the present invention;

[0035] In the figure: 1 is the optical fiber supply reel, 2 is the optical fiber supply reel bracket, 3 is the output optical fiber, 4 is the gear, 5 is the rotation drive device, 6 is the fixed bracket, 7 is the fixed seat, 8 is the connecting line, and 9 is the damping ring. DETAILED DESCRIPTION

[0036] The present invention is described in detail below in conjunction with specific embodiments. The following embodiments will help those skilled in the art to further understand the present invention, but are not intended to limit the present invention in any form. It should be noted that, for those of ordinary skill in the art, several variations and improvements may be made without departing from the concept of the present invention. These all belong to the protection scope of the present invention.

[0037] Traditional fiber optic winding methods easily cause the optical fiber to present a ring-shaped structure when released, resulting in uncontrollable fiber optic path, increased release resistance, local stress concentration, and may even cause the optical fibers to become entangled with each other, affecting the flight stability of the drone and the service life of the optical fiber.

[0038] In order to solve the problem that the fiber optic cable of the fiber optic guided UAV still remains in a loop due to the looped structure during the fiber optic release process, refer to Figure 1 As shown, an optical fiber winding device for an optical fiber guided unmanned aerial vehicle provided by an embodiment of the present invention includes an optical fiber feeding device and an outlet guiding device, wherein the optical fiber feeding device is used to provide an optical fiber roll to be wound, the optical fiber feeding device includes an optical fiber feeding roll 1 and an optical fiber feeding roll holder 2, and the optical fiber feeding roll 1 is sleeved on a fixed shaft of the optical fiber feeding roll holder 2; the outlet guiding device includes a gear 4 and a rotating drive device 5, one end of the gear 4 is connected to the side of the optical fiber feeding roll holder 2, and the other end of the gear 4 is connected to the rotating drive device 5, and the rotating drive device 5 drives the gear 4 to rotate, and the rotation direction of the gear 4 is perpendicular to the rotation direction of the optical fiber feeding roll 1 when the line is discharged, that is, the lateral rotation force is orthogonal to the optical fiber outlet direction.

[0039] The optical fiber in the prior art is directly led out from the supply reel. When the optical fiber is released, the optical fiber still remains in a loop due to the structure of the loop. The embodiment of the present invention provides an output guide device, which drives the gear 4 to rotate through the rotating drive device 5, and then drives the optical fiber supply reel bracket 2 to rotate the optical fiber supply reel 1, so that the output optical fiber 3 forms a lateral rotation. The supply reel output method in which the lateral rotation force is applied to the output optical fiber 3 by the output guide device solves the problem that the output optical fiber still remains in a loop, and can achieve the purpose of generating opposite deformation during the optical fiber winding process, thereby effectively reducing the bending and entanglement of the optical fiber caused by the loop structure during the release process; moreover, the deformation compensation design during the winding process can achieve smooth output of the optical fiber when released, and solves the problem of increased resistance of the optical fiber caused by the loop structure in the traditional winding method, thereby improving the durability of the optical fiber and the signal transmission quality.

[0040] Specifically, in the process of deformation compensation by lateral rotation of the wire, the lateral rotation speed should be consistent with the rotation speed (line speed) during the winding process, and the rotation directions of the two should be kept perpendicular, for example, Figure 1 The optical fiber supply reel 1 discharges the wire clockwise, and the gear 4 rotates counterclockwise.

[0041] The embodiments of the present invention can reduce the loop retention effect of the optical fiber during the release process, enable the optical fiber to be released more smoothly and linearly, achieve stability and smoothness in the optical fiber release process, and significantly improve the durability of the optical fiber as well as the flight stability and mission execution efficiency of the optical fiber-guided UAV.

[0042] Taking into account winding problems such as fiber stretching or relaxation caused by uneven tension when the optical fiber is output, in some embodiments, the above-mentioned optical fiber feeding device also includes a tension adjustment device, and the output optical fiber 3 of the optical fiber supply reel 1 passes through the tension adjustment device, and the tension of the output optical fiber 3 of the optical fiber supply reel 1 is adjusted by the tension adjustment device.

[0043] In some embodiments, the tension adjustment device uses a damping ring device, which keeps the tension of the optical fiber stable when it is output. The embodiment of the present invention uses a damping ring device with a simple structure, which does not require complex circuit design and mechanical structure, and is conducive to reducing manufacturing costs.

[0044] Reference Figure 2 As shown, in some embodiments, the damping ring device includes a fixing seat 7, a connecting line 8 and a damping ring 9, wherein: the fixing seat 7 is used to provide support and installation foundation to ensure the stability of the device; the outlet optical fiber 3 of the optical fiber supply reel 1 passes through the damping ring 9 close to the inner top of the damping ring 9; one end of the connecting line 8 is connected to the upper surface of the fixing seat 7, and the other end is connected to the bottom end of the damping ring 9. During the optical fiber winding process, the outlet optical fiber 3 of the optical fiber supply reel 1 pulls the damping ring 9, thereby straightening the connecting line 8. In order to adjust the tension of the optical fiber, the connecting line 8 is a soft wire, and the position of the damping ring 9 is adjusted by stretching the soft wire, thereby accurately controlling the tension of the optical fiber.

[0045] In the above embodiment of the present invention, the damping ring device generates an elastic tension on the wound optical fiber, and the tension can be adjusted according to the actual effect. The elastic tension can make the optical fiber receive a stable tension during the winding process. In the absence of the elastic tension, a sudden change in speed during the winding process may cause a sudden change in the tension on the optical fiber, thereby causing the optical fiber to break.

[0046] According to the elastic tension provided by the damping ring device, its position is determined according to the parameters of the winding machine and the raw material disk, etc. In some embodiments, the tension adjustment device is located 0.1m to 0.2m in front of the output optical fiber 3 of the optical fiber supply reel 1 (i.e., the corresponding position after the optical fiber supply reel 1 is output).

[0047] The above-mentioned embodiment of the present invention, by providing a tension adjustment device, can achieve uniform distribution of tension during the optical fiber winding process, solve the problem of optical fiber stretching or relaxation caused by uneven tension during optical fiber winding, thereby ensuring the winding quality and the stability of the subsequent release process.

[0048] In some embodiments, the rotary drive device 5 is fixed on a fixed bracket 6. For example, the rotary drive device 5 uses a motor, which can accurately adjust the rotation speed and torque, efficiently transmit power, reduce energy loss, and improve the overall efficiency of the system. It has a simple and compact structure and has significant advantages in precise control, efficiency, reliability, and applicability.

[0049] like Figure 1 As shown, the optical fiber supply reel holder is fixed on the gear 4 in front of the rotary drive device 5. When the rotary drive device 5 rotates, the gear 4 is driven to rotate, thereby driving the optical fiber supply reel holder and the optical fiber supply reel 1 to rotate, so that the optical fiber generates additional axial rotational movement before entering the winding area.

[0050] The above embodiment of the present invention optimizes the winding method through the outlet guide device, so that the outlet optical fiber 3 forms a lateral rotation, reduces the loop retention effect of the optical fiber when it is outlet, reduces the risk of the optical fibers being entangled with each other, and enables the optical fiber to be released more smoothly and in a straight line. Using the device of the above embodiment of the present invention, it is possible to effectively reduce the deformation loss during the release of the optical fiber, improve the durability and signal transmission quality of the optical fiber, and enhance the flight stability and mission execution efficiency of the optical fiber-guided UAV.

[0051] Based on the same concept, another embodiment of the present invention provides a fiber-guided UAV fiber winding method, which is implemented by using the above-mentioned fiber-guided UAV fiber winding device, and the method includes: providing a fiber roll to be wound; in the process of fiber outlet of the fiber roll to be wound, applying a lateral rotation force to the outlet optical fiber 3, so that the outlet optical fiber 3 generates axial rotational motion before entering the winding area, and the rotation direction of the rotational motion is perpendicular to the rotation direction of the optical fiber supply roll 1 when it is out. The winding area is a part of the winding machine, and the optical fiber is wound into a roll in this area.

[0052] The fiber supply preparation is achieved by providing a fiber optic coil to be wound. Specifically, a fiber optic supply coil is provided, which is the starting source for fiber optic winding, ensuring that the fiber can be stably and evenly discharged. Figure 1 As shown, the center of the optical fiber supply reel 1 is hollow and is fixed on the optical fiber supply reel holder 2 through a fixed shaft (solid tube) of the optical fiber supply reel holder 2.

[0053] In order to avoid uneven tension during the winding process causing the optical fiber to stretch or relax, thereby affecting the final winding effect, in some embodiments, a fiber optic coil to be wound is provided, including: adjusting the tension of the outgoing optical fiber 3 of the fiber optic coil to be wound.

[0054] In some embodiments, the tension of the outgoing optical fiber 3 of the optical fiber roll to be wound is adjusted, including: a damping ring device is set in front of the outgoing optical fiber 3 of the optical fiber roll to be wound, such as 0.1m to 0.2m in front of the outgoing optical fiber 3 of the optical fiber roll, and the outgoing optical fiber 3 passes through the top of the damping ring 9 of the damping ring device.

[0055] In the above-mentioned embodiment of the present invention, in order to achieve optical fiber outlet guidance, a lateral rotational force is applied during the optical fiber outlet process to cause the optical fiber to produce additional axial rotational movement before entering the winding area. The rotation direction should be compatible with the subsequent winding direction to form a compensating deformation.

[0056] It should be noted that the motor speed must match the fiber release speed. The angular velocity ω of the above rotational motion (lateral rotation) satisfies Where v is the fiber release linear velocity, and r is the fiber supply reel radius, so that the fiber produces sufficient rotational deformation compensation within a unit length. The angular velocity of gear 4 is controlled by the motor and is consistent with the motor speed. The rotation direction of gear 4 ensures that the lateral rotation force is orthogonal to the fiber outlet direction, offsetting the ring retention effect.

[0057] In one specific embodiment, the light winding process is as follows: Figure 1 As shown in FIG. 1 , before starting the optical fiber winding process, a solid tube is first used to pass through the hollow structure in the middle of the optical fiber supply reel 1, and then the solid tube and the optical fiber supply reel 1 are fixed together on the optical fiber supply reel support. The optical fiber is led out from the optical fiber supply reel 1, and the optical fiber passes through the hollow structure in the middle of the optical fiber supply reel 1. Figure 2 In the damping ring device shown, the connecting line 8 below the damping ring 9 is not tightened at this time. After the optical fiber is fixed on the optical fiber roll to be wound (the optical fiber winding process can refer to the prior art with application number 202411502140.9), the motor is started, and the motor drives the gear 4 to rotate, and then the optical fiber supply roll bracket 2 drives the supply roll to rotate, so that the output optical fiber forms a lateral rotation. During the optical fiber winding process, the optical fiber is always tightened. When the optical fiber passes through the damping ring 9, the tension of the optical fiber can be kept uniform, avoiding the stretching or relaxation of the optical fiber due to uneven tension during the winding process, thereby effectively improving the final optical fiber winding effect.

[0058] The optical fiber winding method in the above-mentioned embodiment of the present invention introduces lateral rotation when winding the optical fiber, so that the optical fiber produces deformation in the opposite direction during the winding process, which can reduce the entanglement and deformation problems caused by the optical fiber maintaining a loop structure during the release process, thereby reducing the retention effect of the loop structure when the line is released, achieving smooth release, and further significantly improving the durability of the optical fiber as well as the flight stability and mission execution efficiency of the optical fiber-guided UAV.

[0059] In the description of the present invention, it should be understood that the terms "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside" and "outside" etc., indicating orientations or positional relationships, are based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as a limitation on the present invention.

[0060] The above describes the specific embodiments of the present invention. It should be understood that the present invention is not limited to the above specific embodiments, and those skilled in the art can make various modifications or variations within the scope of the claims, which does not affect the essence of the present invention. The above preferred features can be used in any combination without conflicting with each other.

Claims

1. An optical fiber winding device for an optical fiber guided UAV, characterized in that: include: An optical fiber feeding device, used for providing an optical fiber coil to be wound, the optical fiber feeding device comprising an optical fiber feeding coil and an optical fiber feeding coil support, the optical fiber feeding coil being sleeved on a fixed shaft of the optical fiber feeding coil support; The outgoing line guiding device includes a gear and a rotating drive device, one end of the gear is connected to the side of the optical fiber supply reel support, and the other end of the gear is connected to the rotating drive device. The rotating drive device drives the gear to rotate, and the rotation direction of the gear is perpendicular to the rotation direction of the optical fiber supply reel when the line is outgoing.

2. The optical fiber winding device for optical fiber-guided UAV according to claim 1 is characterized in that: The optical fiber feeding device also includes a tension adjusting device, through which the outgoing optical fiber of the optical fiber feeding reel passes, and the tension adjusting device is used to adjust the tension of the outgoing optical fiber of the optical fiber feeding reel.

3. The optical fiber winding device for optical fiber-guided UAV according to claim 1 is characterized in that: The tension adjusting device adopts a damping ring device.

4. The optical fiber winding device for optical fiber-guided UAV according to claim 3 is characterized in that: The damping ring device comprises: A fixing base, used to provide support and installation foundation; A damping ring, wherein the outgoing optical fiber of the optical fiber supply reel is closely attached to the inner top of the damping ring and passes through the damping ring; A connecting wire, one end of which is connected to the upper surface of the fixing seat, and the other end of which is connected to the bottom end of the damping ring. During the optical fiber winding process, the outgoing optical fiber of the optical fiber supply reel pulls the damping ring, thereby straightening the connecting wire.

5. The optical fiber winding device for optical fiber-guided UAV according to claim 1 is characterized in that: The tension adjustment device is located 0.1m to 0.2m in front of the outgoing optical fiber of the optical fiber supply reel.

6. The optical fiber winding device for optical fiber-guided UAV according to claim 1 is characterized in that: The rotary drive device adopts an electric motor.

7. A method for winding optical fiber for optical fiber-guided unmanned aerial vehicle, implemented by using the optical fiber-guided unmanned aerial vehicle optical fiber winding device according to any one of claims 1 to 6, characterized in that: include: Providing a roll of optical fiber to be wound; During the optical fiber output process of the optical fiber reel to be wound, a lateral rotational force is applied to the output optical fiber, so that the output optical fiber generates axial rotational motion before entering the winding area, and the rotation direction of the rotational motion is perpendicular to the rotation direction of the optical fiber supply reel when it is output.

8. The optical fiber winding method for an optical fiber-guided UAV according to claim 7 is characterized in that: The providing of the optical fiber coil to be wound includes: adjusting the tension of the outgoing optical fiber of the optical fiber coil to be wound.

9. The optical fiber winding method for an optical fiber-guided UAV according to claim 8, characterized in that: The tension of the outgoing optical fiber of the optical fiber coil to be wound is adjusted, including: a damping ring device is arranged in front of the outgoing optical fiber of the optical fiber coil to be wound, and the outgoing optical fiber passes through the top of the damping ring inside the damping ring device.

10. The optical fiber winding method for an optical fiber-guided UAV according to claim 7, characterized in that: The angular velocity ω of the rotational motion satisfies Wherein, v is the linear velocity of the optical fiber release, and r is the radius of the optical fiber supply reel.

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