The present disclosure relates to an optical fiber.
The present application claims the benefit of the priority based on Japanese Patent Application No. 2019-074782, filed on Apr. 10, 2019, the entire contents disclosed in the application is incorporated herein by reference.
An optical fiber for long-distance optical communication is made of silica glass and is manufactured through a drawing process. In the drawing process, a glass preform (preform) as the source of the optical fiber is simultaneously heated and fibrously stretched such that a tensile tension of 50 gf (0.49 N) or more is applied to the glass. An optical fiber in which an alkali metal element has been added to a core portion is known as an optical fiber for long-distance optical communication requiring transmission loss reduction (see, for example, Patent Literature 1 and Patent Literature 2).
Patent Literature 1: Japanese Unexamined Patent Publication No. 2015-157726
Patent Literature 2: Japanese Unexamined Patent Publication No. 2013-107792
An optical fiber of the present disclosure has a structure uniform in a longitudinal direction. The optical fiber includes: a core that includes a silica glass containing an alkali metal element; and a cladding that includes a silica glass and surrounds the core in a cross-section perpendicular to the longitudinal direction. A refractive index of the cladding is lower than a refractive index of the core. The cladding includes, in the cross-section, an inner cladding layer having a circular ring shape and including an inner circumferential surface of the cladding, and an outer cladding layer having a circular ring shape and including an outer circumferential surface of the cladding. The inner cladding layer contains fluorine. The inner and outer cladding layers have refractive indexes different from each other. The outer cladding layer includes a local maximum portion where a residual stress, which is a tensile stress, becomes local maximum. A radial distance between the local maximum portion and an inner circumferential surface of the outer cladding layer is 10 μm or less. It should be noted that the optical fiber is assumed to be axisymmetric around a longitudinally extending central axis unless otherwise noted in this specification.
In the drawing process, the viscosity of the optical fiber has non-uniformity attributable to the composition or temperature distribution in the cross-section, and thus tensile tension is more likely to be generated in the high-viscosity region than in the low-viscosity region in the cross-section of the optical fiber. In some cases, this tensile tension results in strain in the molecular structure of the glass and strain-derived scattering and glass defect loss. The transmission performance of the optical fiber declines when such scattering and glass defect loss occur in the core or the cladding near the core. Methods for suppressing such a decline in transmission performance include suppressing the occurrence of strain by adding an alkali metal element which lowers the viscosity to the core portion. However, in some cases, scattering loss attributable to strain occurs even in an optical fiber having an alkali metal element-added core portion. For example, in an optical fiber in which transmission loss attributable to GeO2 addition is suppressed by adding fluorine (F), which decreases a refractive index, to a cladding instead of adding GeO2, which increase the refractive index, to a core, F added to the cladding also lowers the viscosity, and thus tensile tension and strain may occur in the core or the cladding near the core.
Therefore, an object of the present disclosure is to provide an optical fiber capable of reducing transmission loss.
According to the present disclosure, an optical fiber capable of reducing transmission loss can be provided.
First, an embodiment of the present disclosure will be listed and described. The optical fiber according to the embodiment has a structure uniform in the longitudinal direction. The optical fiber includes: a core that includes a silica glass containing an alkali metal element; and a cladding that includes a silica glass and surrounds the core in a cross-section perpendicular to the longitudinal direction. A refractive index of the cladding is lower than a refractive index of the core. The cladding has, in the cross-section, an inner cladding layer having a circular ring shape and including an inner circumferential surface of the cladding, and an outer cladding layer having a circular ring shape and including an outer circumferential surface of the cladding. The inner cladding layer contains fluorine. The inner and outer cladding layers have refractive indexes different from each other. The outer cladding layer includes a local maximum portion where a residual stress, which is a tensile stress, becomes local maximum. A radial distance between the local maximum portion and an inner circumferential surface of the outer cladding layer is 10 μm or less.
In the optical fiber according to the above embodiment, a glass defect can be actively generated and environment-derived hydrogen and the glass defect are capable of reacting to each other in the local maximum portion. As a result, transmission loss deterioration attributable to hydrogen which is generated by the reaction between the environment-derived hydrogen and the glass defect is suppressed in the core. Accordingly, the transmission loss can be reduced. Hereinafter, the transmission loss deterioration attributable to the hydrogen is abbreviated as “hydrogen deterioration”.
An increase in transmission loss at a wavelength of 1380 nm resulting from 24-hour exposure to an atmosphere containing hydrogen gas 1 kPa in partial pressure at a temperature of 80° C. may be 0.0001 dB/km or more and 0.1 dB/km or less. In this case, the hydrogen deterioration is suppressed, and thus the transmission loss can be reliably reduced. In addition, the optical fiber can be used without causing loss deterioration even in hydrogen of higher concentration, and thus more cable material options are given in terms of the amount of hydrogen generation. As a result, cable costs can be reduced.
The residual stress in the local maximum portion may be a tensile stress of 5 MPa or more and 30 MPa or less. In this case, the transmission loss is further reduced.
The outer cladding layer may have a first region including the inner circumferential surface of the outer cladding layer. The first region may have a radial thickness of 10 μm. The first region may have an OH concentration of 5 ppm or less. In this case, the local maximum portion with tensile tension is reliably formed in the first region, and thus the transmission loss can be reliably reduced.
The outer cladding layer may have a second region including the inner circumferential surface of the outer cladding layer. The second region may have a radial thickness of 0.1 μm or more and less than 3 μm. A fluorine concentration in the second region may be lower by 100 ppm or more and 10000 ppm or less than a fluorine concentration in a region of the outer cladding layer other than the second region. In this case as well, the local maximum portion with tensile tension is reliably formed in the second region or a region including the second region, and thus the transmission loss can be reliably reduced. It should be noted that a region including the inner circumferential surface of the outer cladding layer may be the first region and the second region in the outer cladding layer.
A value obtained by integrating a residual stress expressed as a function of a radial distance from a central axis of the optical fiber over the radial distance in a section between an upper limit position and a lower limit position sandwiching the local maximum portion may be 20 MPa·μm or more and less than 120 MPa·μm, a distance from the inner circumferential surface of the outer cladding layer being 10 μm at the upper limit position and a residual stress equal to a residual stress at the upper limit position being given at the lower limit position. In this case, the transmission loss is further reduced.
Specific examples of the optical fiber of the present disclosure will be described below with reference to the drawings. It should be noted that the present invention is not limited to these exemplifications, is indicated by the claims, and is intended to include every change within the meaning and scope equivalent to the claims. The same elements in the description of the drawings are denoted by the same reference numerals with redundant description omitted.
The main component (base material) of the core 10 is silica glass containing an alkali metal element. Examples of the alkali metal element include sodium (Na), potassium (K), cesium (Cs), and rubidium (Rb). The core 10 is provided in, for example, a region including the central axis of the optical fiber 1. The core 10 has an outer circumferential surface 10a. The central axis of the core 10 is, for example, coincident with the central axis of the optical fiber 1. The outer diameter (core diameter) of the core 10 is, for example, 8 μm or more and 15 μm or less.
The main component (base material) of the cladding 20 is silica glass. The cladding 20 surrounds the core 10 and covers the outer circumferential surface 10a of the core 10 in the cross-section perpendicular to the central axis direction (longitudinal direction) of the optical fiber 1. The cladding 20 has an outer circumferential surface 20a and an inner circumferential surface 20b. The outer circumferential surface 20a constitutes the outer circumferential surface of the optical fiber 1. The inner circumferential surface 20b is in contact with the outer circumferential surface 10a of the core 10. The outer diameter (cladding diameter) of the cladding 20 is equal to the outer diameter (fiber diameter) of the optical fiber 1 and is, for example, 124 μm or more and 126 μm or less. The radial length (thickness) of the cladding 20 is, for example, 55 μm or more and 59 μm or less. Although the outer circumferential surface of the optical fiber 1 may be coated with an ultraviolet curable resin, the coating is omitted in the present specification and the accompanying drawings unless otherwise noted. As is known to those skilled in the art, with the coating, the occurrence of a scratch on the outer circumferential surface of the optical fiber 1 can be prevented and the rigidity of the optical fiber 1 can be optimized.
The cladding 20 has an inner cladding layer 21 and an outer cladding layer 22. In the cross-section perpendicular to the central axis direction (longitudinal direction) of the optical fiber 1, both the inner cladding layer 21 and the outer cladding layer 22 have a circular ring shape. The inner cladding layer 21 and the outer cladding layer 22 have refractive indexes different from each other. It should be noted that the cladding 20 may have a cladding layer other than the inner cladding layer 21 and the outer cladding layer 22 between the inner cladding layer 21 and the outer cladding layer 22 although the inner cladding layer 21 and the outer cladding layer 22 in the present embodiment are in contact with each other as will be described below.
The inner cladding layer 21 surrounds the core 10 and covers the outer circumferential surface 10a in the cross-section perpendicular to the central axis direction (longitudinal direction) of the optical fiber 1. The inner cladding layer 21 has an outer circumferential surface 21a and an inner circumferential surface 21b. The outer circumferential surface 21a is in contact with the outer cladding layer 22. The inner circumferential surface 21b of the inner cladding layer 21 constitutes the inner circumferential surface 20b of the cladding 20. In other words, the inner cladding layer 21 includes the inner circumferential surface 20b. The inner cladding layer 21 is the innermost cladding layer. The outer diameter of the inner cladding layer 21 is, for example, 20 μm or more and 70 μm or less. The radial thickness of the inner cladding layer 21 is, for example, 5 μm or more and 30 μm or less. In one example, the outer diameter of the inner cladding layer 21 is 35 μm and the radial thickness thereof is 12.5 μm.
The outer cladding layer 22 surrounds the inner cladding layer 21 and covers the outer circumferential surface 21a of the inner cladding layer 21 in the cross-section perpendicular to the central axis direction (longitudinal direction) of the optical fiber 1. The outer cladding layer 22 has an outer circumferential surface 22a and an inner circumferential surface 22b. The outer circumferential surface 22a constitutes the outer circumferential surface 20a of the cladding 20. In other words, the outer cladding layer 22 includes the outer circumferential surface 20a. The outer cladding layer 22 is the outermost cladding layer. The inner circumferential surface 22b of the outer cladding layer 22 is in contact with the outer circumferential surface 21a of the inner cladding layer 21. The outer diameter of the outer cladding layer 22 is equal to the outer diameter of the cladding 20. The radial thickness of the outer cladding layer 22 is, for example, 27 μm or more and 53 μm or less. In one example, the outer diameter of the inner cladding layer 21 is 35 μm and the thickness of the outer cladding layer 22 is 45 μm.
The outer cladding layer 22 has a first region including the inner circumferential surface 22b. The first region surrounds the inner cladding layer 21. The radial thickness of the first region is 10 μm. The residual stress in the first region is tensile stress. Unless particularly described, the residual stress in the present specification is the component in the central axis direction of the stress remaining after the fiber has been cooled to room temperature after drawing and acting on the cross-section perpendicular to the central axis direction (drawing direction of the fiber). The residual stress is represented by a positive sign in the case of tension and a negative sign in the case of compression. Although the residual stress is a radial-position function, unless otherwise noted, a value obtained by averaging in a region with a diameter of 1 μm, which is a typical residual stress measurement resolution, is defined as the value of the residual stress. Further, in a case where the direction of the residual stress is tension, the absolute value thereof is referred to as the tensile stress unless otherwise noted. The residual stress in the outer cladding layer 22 becomes local maximum in the first region. In other words, the outer cladding layer 22 includes a local maximum portion 30, where the residual stress is tensile stress and becomes local maximum, in the first region. The radial distance between the local maximum portion 30 and the inner circumferential surface 22b is 10 μm or less.
The residual stress in the local maximum portion 30 is, for example, a tensile stress of 5 MPa or more and 30 MPa or less. As will be described later, a deterioration of the transmission loss of the optical fiber 1 is suppressed by the local maximum portion 30 having a residual stress of 30 MPa or less. In addition, as will be described later, the hydrogen deterioration of the core 10 is suppressed by the local maximum portion 30 having a residual stress of 5 MPa or more. As a result of the hydrogen deterioration suppression, in the optical fiber 1, the increase in transmission loss at a wavelength of 1380 nm resulting from 24-hour exposure to an atmosphere containing hydrogen gas 1 kPa in partial pressure at a temperature of 80° C. is 0.1 dB/km or less. Although an increase in transmission loss of 0.0001 dB/km or more can occur, it is not an obstacle in many applications.
Hydrogen deterioration is known as a factor that exacerbates the transmission loss of an optical fiber. The hydrogen deterioration results from a reaction between a glass defect and an environment-derived hydrogen molecule. The environment-derived hydrogen molecule is hydrogen derived from an environment outside glass such as resin. The glass defect is generated by the glass undergoing tensile stress and the binding of glass molecules being cut as a result. The glass defect is known as a factor that exacerbates the transmission loss of an optical fiber over time in particular. The peak of the transmission loss at a wavelength of 1380 nm derived from the absorption of the OH group generated by the glass defect increases with time.
In the core 10, the tensile stress may increase the transmission loss due to a glass defect. Therefore, in the optical fiber 1, the local maximum portion 30 is provided as a stressed portion to which tensile stress has been applied and a glass defect is actively generated in the local maximum portion 30. As a result, the reaction between environment-derived hydrogen and the glass defect increases in the local maximum portion 30. It is conceivable that the outer cladding layer 22 provided with the local maximum portion 30 plays the role of a barrier layer with respect to the hydrogen deterioration of the core 10 and is capable of suppressing the hydrogen deterioration of the core 10. The local maximum portion 30 is provided at a position separated from the core 10 sufficiently to the extent that signal light is not affected even in view of the spread of the signal light, examples of which include a position where the radial distance from the center of the core 10 is 30 μm or more. In addition, in order to avoid thickening the outer diameter of the optical fiber 1 more than necessary, the local maximum portion 30 is provided at a position where the radial distance from the outer circumferential surface 10a of the core 10 is 60 μm or less.
In general, in order to confine and propagate light using a core, the refractive index of a cladding needs to be lower than the refractive index of the core. Conceivable to this end are a configuration in which the core contains a dopant that increases the refractive index, such as germanium (Ge), and a configuration in which the cladding contains a dopant that decreases the refractive index, such as fluorine (F). The latter configuration can also be applied to, for example, a pure silica core optical fiber containing no dopant in the core. A relative refractive index difference is defined by Expression (1), where no denotes a refractive index of the pure silica glass and ni denotes a refractive index of the cladding.
[Expression 1]
Δ%=(N12−n02)/2n02×100 (1)
The optical fiber 1 of the present embodiment has the latter configuration described above, and F is contained in the entire cladding 20 by 1000 ppm or more and 100000 ppm or less. As a result, the refractive index of the cladding 20 is lower than the refractive index of the core 10. In the cladding 20, at least the inner cladding layer 21 contains F. The F concentration in the cladding 20 is the highest in the inner cladding layer 21. It should be noted that the F concentration in the present disclosure is expressed as a mass fraction of F, that is, the ratio of the mass of F to the total mass. The relative refractive index difference between the core 10 and the inner cladding layer 21 is 0.2% or more. It should be noted that the refractive index of the core 10 is equivalent to the refractive index of the pure silica core.
The OH concentration in the first region is 5 ppm or less. It should be noted that the OH concentration in the present disclosure is expressed as a mass fraction of OH, that is, the ratio of the mass of OH to the total mass. As a result, the local maximum portion 30 can be formed in the first region as will be described later. The OH concentration in the first region is, for example, the average OH concentration in the first region.
The outer cladding layer 22 has a second region including the inner circumferential surface 22b. The radial thickness of the second region is 0.1 μm or more and less than 3 μm. The F concentration in the second region is lower by 100 ppm or more and 10000 ppm or less than the F concentration in the region of the outer cladding layer 22 other than the second region. As a result, the local maximum portion 30 capable of suppressing the transmission loss of the optical fiber 1 can be formed as will be described later. It should be noted that the F concentration in the second region is, for example, the minimum value (lowest value) of the F concentration in the second region. The F concentration in the region of the outer cladding layer 22 other than the second region is, for example, the minimum value (lowest value) of the F concentration in the region of the outer cladding layer 22 other than the second region.
The value obtained by integrating the residual stress expressed as a function of the radial distance from the central axis of the optical fiber 1 over the radial distance in the section between the upper limit position and the lower limit position sandwiching the local maximum portion 30 is 20 MPa·μm or more and less than 120 MPa·μm. The integrated value is represented by the following Expression (2) where r denotes the radial distance from the central axis of the optical fiber 1, P(r) denotes the residual stress, and the integration section is from r1 to r2 in radial distance. r1 is the lower limit value of the radial distance, and r2 is the upper limit value of the radial distance.
[Expression 2]
∫r1r2P(r)dr (2)
Here, the upper limit position of the integration section coincides with the outer edge of the first region and the radial distance between the upper limit position of the integration section and the inner circumferential surface 22b is 10 μm. In addition, the residual stresses at the lower limit position and the upper limit position of the integration section are equal to each other. In other words, P(r1) is equal to P(r2). By the integrated value in the integration section set in such a range being 20 MPa·μm or more and less than 120 MPa·μm, the local maximum portion 30 capable of suppressing the transmission loss of the optical fiber 1 can be formed as will be described later.
Expected from the graphs shown in
The following is conceivable as to why the residual stress in the core jumps out to the tensile stress side. In other words, the alkali metal element diffuses to the cladding portion depending on manufacturing conditions such as the speed of drawing and the addition concentration of the alkali metal element. As a result, the inner cladding layer contains both the alkali metal element and the maximum concentration of F. The viscosity becomes lowest in such an inner cladding layer. The core portion is relatively hard, and thus it is conceivable that tensile stress may be applied in the process of fiber cooling in the drawing process.
Next, the relationship between the first residual stress difference and the transmission loss was examined by changing the first residual stress difference by changing alkali concentration. The alkali concentration is the average alkali metal element concentration in the core. It should be noted that the alkali metal element concentration in the present disclosure is expressed as a mass fraction of the alkali metal element, that is, the ratio of the mass of the alkali metal element to the total mass.
The synthesis of the core portion to which the alkali metal element has been added is carried out by, for example, a diffusion method with reference to the method of Patent Literature 1. The diffusion method is a method for diffusing and adding an alkali metal element into glass by performing heating from the outside while supplying alkali vapor to a glass pipe prepared in advance. The addition diameter can be adjusted by, for example, applying glass containing no alkali metal element, which becomes a second core portion, to the outside of the core portion by the collapse method. The addition diameter can also be adjusted by scraping the core portion to which the alkali metal element has been added.
Here, K was added as an alkali metal element. In a case where an alkali metal element other than K is added, the first residual stress difference can be made almost equal to that in a case where K has been added by changing the addition diameter in accordance with the diffusion rate of the alkali metal element. For example, in a case where an optical fiber was manufactured by adding Rb as an alkali metal element with the addition diameter at 80%, the first residual stress difference reached 15 MPa and the transmission loss also became equal to that in a case where K was added. From this, it is conceivable that there is a correlation between the first residual stress difference and the transmission loss regardless of the added element.
From the table and graph shown in
For example, a method for keeping drawing tension low is conceivable as a method for preventing tensile stress from being applied to the core as described above.
From the table and graph shown in
However, it is necessary to raise the heating temperature of the preform or reduce the drawing speed in order to carry out the drawing process at such a low drawing tension. Accordingly, a decline in production efficiency may arise. In this regard, in the optical fiber 1 according to the present embodiment, the plurality of cladding layers constitute the cladding 20 and the outer cladding layer 22, which is the outermost cladding layer, functions as a stressed layer to which tensile stress has been applied. For example, the viscosity of the outer cladding layer 22 can be increased and the outer cladding layer 22 is capable of functioning as the stressed layer by lowering the F concentration in the outer cladding layer 22. In addition, the outer cladding layer 22 has an interface with a different viscosity, and thus alkali metal element diffusion can be suppressed (see Patent Literature 2).
The occurrence of strain in the core can be suppressed in a case where the residual stress in the outer cladding layer is uniform (flat) over the entire outer cladding layer (for example, in a case where the difference between the maximum value and the minimum value of the residual stress in the outer cladding layer is 5 MPa or less). However, a barrier layer cannot be formed against the glass defect loss to be described later. Accordingly, the transmission loss increases due to the glass defect.
For example, in a case where F-free pure silica forms the outer cladding layer, the residual stress becomes tensile stress in the entire outer cladding layer. Accordingly, tensile force dispersion occurs over the entire outer cladding layer and the tensile stress per cross-sectional area decreases. Accordingly, in the outer cladding layer, the residual stress becomes a low tensile stress, the peak (local maximum) of the residual stress is not formed, and the barrier layer effect is not obtained. Accordingly, it is considered necessary to provide a stress peak by adding some additive to the outer cladding layer as well and giving a viscosity difference in the layer.
Examples of the additive include chlorine (Cl) and F. Cl increases the refractive index of the cladding, and thus the refractive index of the cladding may exceed the refractive index of the core and light may leak to the cladding. In a case where the amount of Cl addition (that is, the Cl concentration in the cladding) exceeds 5000 ppm, the viscosity of the outer cladding layer decreases and tensile stress is applied to the core. Accordingly, the amount of Cl addition can be set to 5000 ppm or less. It should be noted that the Cl concentration in the present disclosure is expressed as a mass fraction of Cl, that is, the ratio of the mass of Cl to the total mass. The amount of Cl addition may also be 3000 ppm or less. In this case, a stressed portion to which a higher tensile stress has been applied can be formed on the outer cladding layer. However, as will be described later, a stressed portion capable of transmission loss reduction can be formed by providing a concentration difference of 100 ppm or more in the outer cladding layer.
In some cases, a heating process of reheating a fiber in a heating furnace after the fiber is discharged out of a drawing furnace in the drawing process is carried out for the purpose of transmission loss reduction (see Japanese Unexamined Patent Publication No. 2014-114195). According to such a heating process, the stressed portion may be melted again and tensile stress may be applied to the core particularly in a case where the stressed portion is formed only outside the radial middle of the outer cladding layer. Accordingly, the stressed portion can be formed inside the radial middle of the outer cladding layer.
As shown in
The thickness of the outer cladding layer is a value optimized by the thickness and the refractive index of the inner cladding layer and is not limited to 50 μm. However, as the thickness of the outer cladding layer increases, the region where the concentration of F as an additive is low widens and thus low-cost fiber production is possible. Meanwhile, in a case where the cladding outer diameter is fixed at 125 μm with the thickness of the outer cladding layer exceeding 60 μm, the stressed portion approaches the core, and thus the spread of the signal light propagating in the core partially reaches the stressed portion. Accordingly, the transmission loss may deteriorate by being affected by the glass defect loss generated in the stressed portion. The stressed portion is melted again by the heating process in a case where the thickness of the outer cladding layer is less than 10 μm. Accordingly, the thickness of the outer cladding layer needs to be 10 μm or more.
In a case where the same study was conducted with the thickness of the outer cladding layer at 60 μm, the transmission loss did not deteriorate until the radial distance between the stressed portion and the inner circumferential surface of the outer cladding layer was 15 μm. From this, it is presumed that transmission loss deterioration can be suppressed regardless of the thickness of the outer cladding layer in a case where the radial distance is less than 10 μm.
As shown in
A cladding layer having a plurality of different refractive indexes is formed by, for example, performing sintering after forming a soot body by spraying glass fine particles onto a glass rod of an inner cladding layer including a core. However, in this method, moisture derived from the burner flame used during the soot body formation is added to the surface of the glass rod after preform synthesis. In the drawing process, this moisture is diffused in the direction of the outer cladding layer as well, and thus the OH concentration near the interface between the inner cladding layer and the outer cladding layer may increase. In a case where such a preform is drawn, the viscosity near the interface decreases locally. Accordingly, the residual stress on the inner circumferential surface side decreases in the outer cladding layer.
The optical fiber of
In the optical fiber of
As shown in
As shown in
F is a dopant that reduces the viscosity of glass. Accordingly, a stressed portion cannot be formed in the first region of the outer cladding layer in a case where the F concentration in the cladding has a monotonically increasing distribution toward the central axis of the optical fiber. In order to form a stressed portion in the first region, the F concentration needs to be lower in the first region than in the other regions of the outer cladding layer. In a case where the diameter of the region where the F concentration is low exceeds 3 μm, it is conceivable that not only the residual stress but also the peak of the relative refractive index difference itself shows a signal confinement action as in the case of the core and signal transmission characteristics are affected in the form of an increase in cutoff wavelength, bending loss deterioration, and so on. Accordingly, the diameter of the region where the F concentration is low needs to be 3 μm or less. In addition, the minimum value of the F concentration in the region where the F concentration is low needs to be lower by at least 100 ppm than the minimum value of the F concentration in the region outside the region.
Assuming that the graph of the residual stress P(r) in the above integration section (r1≤r≤r2) is formed into a triangular shape connecting P(r1), a peak value P of P(r), and P(r2) with a straight line, and the peak value is 30 MPa, the integrated value calculated is 150 MPa·μm and 120 MPa·μm or more. It should be noted that r2 represents a position 10 μm away from the inner surface of the outer cladding layer and r1 is a position where P(r1) is equal to P(r2).
It is presumed that the integrated value is 120 MPa·μm or more as described above because there is no sudden change in stress and the stressed portion is insufficient in the event of an exponent α that is 1 or more and a distribution in which the integrated value exceeds the area of the triangle in a case where the residual stress distribution around a radius rmax giving a local maximum value Pmax of the residual stress is approximated by the following Expression (3). Accordingly, α can be less than 1 as the distribution shape of the stressed portion. As described above, the stressed portion needs to define not only a value such as the peak value but also the distribution of the exponent α and the area value (that is, the integrated value). It should be noted that a in Expression (3) is the radial distance 10 (μm) between the upper limit position of the integration section and the inner circumferential surface 22b and b is represented by the following Expression (4).
[Expression 3]
P(r′)=Pmax·(1−b·[(r−rmax)a]α) (3)
[Expression 4]
b=(1−[P(r1)/Pmax])·[a/(r1−rmax)]α (4)
1: optical fiber, 10: core, 10a: outer circumferential surface, 20: cladding, 20a: outer circumferential surface, 20b: inner circumferential surface, 21: inner cladding layer, 21a: outer circumferential surface, 21b: inner circumferential surface, 22: outer cladding layer, 22a: outer circumferential surface, 22b: inner circumferential surface, 30: local maximum portion.
Number | Date | Country | Kind |
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2019-074782 | Apr 2019 | JP | national |
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PCT/JP2020/015564 | 4/6/2020 | WO |
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WO2020/209229 | 10/15/2020 | WO | A |
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