Wideband multimode co-doped optical fiber employing GeO.SUB.2 .and Al.SUB.2.O.SUB.3 .dopants
11287568 · 2022-03-29
Assignee
Inventors
Cpc classification
C03C3/083
CHEMISTRY; METALLURGY
International classification
Abstract
The wideband multimode co-doped optical fiber has a silica core co-doped with GeO.sub.2 and Al.sub.2O.sub.3. The GeO.sub.2 concentration is maximum at the fiber centerline and monotonically decreases radially out to the core radius. The Al.sub.2O.sub.3 concentration is minimum at the centerline and monotonically increases radially out to maximum concentration at the core radius. The cladding has an inner cladding region of relative refractive index Δ2, an intermediate cladding region having a relative refractive index Δ3, and an outer cladding region having a relative refractive index Δ4, wherein Δ3<Δ2, Δ4. The optical fiber has a bandwidth BW≥5 GHz.Math.km with a peak wavelength λ.sub.P within a wavelength range of 800 nm to 1200 nm and over a wavelength band Δλ of at least 100 nm.
Claims
1. A method of forming a wideband multimode co-doped optical fiber, comprising: a) forming a preform, the preform comprising: i) a preform co-doped core having a preform core outer edge and comprising silica and co-doped with a first radially varying concentration of GeO.sub.2 that decreases with the radial coordinate r out to the preform core outer edge and a second radially varying concentration of Al.sub.2O.sub.3 that increases with the radial coordinate r out to the preform core outer edge; ii) a preform cladding immediately surrounding the preform co-doped core and comprising silica, the preform cladding having an inner preform cladding region of relative refractive index Δ2, an intermediate preform cladding region having a relative refractive index Δ3 with a minimum value Δ3.sub.MIN, and an outer preform cladding region having a relative refractive index Δ4, wherein the intermediate cladding region comprises a moat and wherein Δ3.sub.MIN<Δ2, Δ4; and b) drawing the preform to form the wideband multimode co-doped optical fiber comprising a co-doped fiber core defined by the preform co-doped core and having a fiber core outer edge and a diameter in a range from 20 microns to 70 microns and having the first and second radially varying concentrations of GeO.sub.2 and Al.sub.2O.sub.3 out to the fiber core outer edge, and a fiber cladding surrounding the co-doped fiber core and defined by the preform cladding and having a fiber inner cladding region having the relative refractive index Δ2, a fiber intermediate cladding region having the relative refractive index Δ3 with the minimum value Δ3.sub.MIN, and a fiber outer cladding region having the relative refractive index Δ4, wherein the fiber intermediate cladding region comprises a moat and wherein Δ3.sub.MIN<Δ2, Δ4; and c) wherein the wideband multimode co-doped optical fiber has a wavelength band Δλ of at least 100 nm having a peak wavelength λ.sub.P in a wavelength range from 800 nm to 1200 nm and a bandwidth BW≤5 GHz.Math.km.
2. The method according to claim 1, further comprising forming the preform using a deposition process selected from the group of deposition processes comprising: outside vapor deposition, modified chemical vapor deposition, and plasma chemical vapor deposition.
3. The method according to claim 1, wherein the co-doped fiber core has a radial concentration of GeO.sub.2 defined by a first alpha value α.sub.1 in the range from 2.0≤α.sub.1≤2.2 and a radial concentration of Al.sub.2O.sub.3 defined by a second alpha value α.sub.2 in the range from 2.0≤α.sub.2≤2.6.
4. The method according to claim 1, wherein the wavelength band Δλ is a range from 100 nm to 300 nm.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The accompanying drawings are included to provide a further understanding, and are incorporated in and constitute a part of this specification. The drawings illustrate one or more embodiment(s), and together with the Detailed Description explain the principles and operation of the various embodiments. As such, the disclosure will become more fully understood from the following Detailed Description, taken in conjunction with the accompanying Figures.
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DETAILED DESCRIPTION
(12) Reference is now made in detail to various embodiments of the disclosure, examples of which are illustrated in the accompanying drawings. Whenever possible, the same or like reference numbers and symbols are used throughout the drawings to refer to the same or like parts. The drawings are not necessarily to scale, and one skilled in the art will recognize where the drawings have been simplified to illustrate the key aspects of the disclosure.
(13) The claims as set forth below are incorporated into and constitute part of this Detailed Description.
Definitions and Terms
(14) Any relative terms like top, bottom, side, horizontal, vertical, etc., are used for convenience and ease of explanation and are not intended to be limiting as to direction or orientation.
(15) The limits on any ranges cited herein are considered to be inclusive and thus to lie within the range, unless otherwise specified.
(16) The expression “A/B/C microns” such as “50/125/250 microns is shorthand notation to describe the configuration of an optical fiber, where A is the diameter of the core in microns, B is the diameter of the core and cladding (i.e., glass section, as described below) of the optical fiber in micron, and C is the diameter of the coated optical fiber (i.e., core and cladding and non-glass protective coating) in microns.
(17) The term “bandwidth” is denoted BW and as the term is used herein is the effective modal bandwidth (EMB) and is expressed as the bandwidth-distance product and is a measure of the amount of data (e.g., Gbit/s) that can be carried by an optical fiber over a given distance and is expressed herein in units of either GHz.Math.km or MHz.Math.km and is typically measured at a given transmission wavelength.
(18) The “wavelength band” is denoted Δλ and is the wavelength range or span over which a select minimum bandwidth BW is maintained. For example, it can be said that a wavelength band Δλ for a given bandwidth BW extends from a lower wavelength λ.sub.L=800 nm to an upper wavelength λ.sub.U=1000 nm or it can be said that the same wavelength band Δλ=λ.sub.U−λ.sub.L=200 nm, and it will be apparent by the context of the discussion as to which use of this terminology applies. In an example, the select minimum bandwidth BW can be a standard bandwidth known in the art for the given application (e.g., 2.47 GHz.Math.km for example SWDM applications).
(19) The peak wavelength λ.sub.P is the wavelength at which the optical fiber has the greatest (highest) bandwidth within a wavelength band.
(20) The coordinate r is a radial coordinate, where r=0 corresponds to the centerline of the optical fiber.
(21) The term “ramp up” with respect to dopant concentration in the core section of the co-doped fiber means a monotonically increasing concentration from the centerline and moving radially outward to the core edge. Likewise, the term “ramp down” means a monotonically decreasing concentration from the centerline and moving radially outward to the core edge. The ramp up and ramp down of dopant concentrations are illustrated schematically by an up arrow and a down arrow, respectively, in the plots of
(22) A transmission wavelength is a wavelength that is used for transmission of optical signals in an optical fiber and is not necessarily the peak wavelength but falls within a range of transmission wavelengths having a sufficiently high bandwidth for a given application (i.e., fall within the wavelength band).
(23) The “relative refractive index” as used herein is defined as:
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where n(r) is the refractive index of the fiber at the radial distance r from the fiber's centerline (r=0) at a wavelength of 1550 nm, unless otherwise specified, and n.sub.cl is the index of the outer cladding at a wavelength of 1550 nm. When the outer cladding is essentially pure silica, n.sub.cl=1.444 at a wavelength of 1550 nm. As used herein, the relative refractive index percent (also referred herein as the relative refractive index) is represented by Δ(or “delta”), Δ% (or “delta %”), or %, all of which can be used interchangeably, and its values are given in units of percent or %, unless otherwise specified. Relative refractive index may also be expressed as Δ(r) or Δ(r) %.
(25) The parameter a (also called the “profile parameter” or “alpha parameter”) as used herein relates to the relative refractive Δ(%) where r is the radius (radial coordinate), and which is defined by:
Δ(r)=Δ.sub.0{1−[(r−r.sub.m)/(r.sub.0−r.sub.m)].sup.α}
where r.sub.m is the point where Δ(r) is the maximum Δ.sub.0, r.sub.0 is the point at which Δ(r)=0 and r is in the range r.sub.i to r.sub.f, where Δ(r) is defined above, r.sub.i is the initial point of the α-profile, r.sub.f is the final point of the α-profile and a is an exponent that is a real number. For a step index profile, α>10, and for a gradient-index profile, α<5.
(26) The maximum relative refractive index Δ.sub.0 is also called the “core delta,” and these terms are used interchangeably herein. For a practical fiber, even when the target profile is an alpha profile, some level of deviation from the ideal profile can occur. Therefore, the alpha value for a practical fiber is the best-fit alpha from the measured index profile.
(27) The term “dopant” as used herein refers to a substance that changes the relative refractive index of glass relative to pure undoped SiO.sub.2. One or more other substances that are not dopants may be present in a region of an optical fiber (e.g., the core) having a positive relative refractive index Δ. The dopants used to form the core of the optical fiber disclosed herein include GeO.sub.2 (germania) and Al.sub.2O.sub.3 (alumina).
(28) Examples of the co-doped wideband multimode optical fiber disclosed herein meet the Telecommunications Industry Association (TIA) Standard TIA-492AAAE, entitled “Detail Specification for 50-μm Core Diameter/125-μm Cladding Diameter Class 1a Graded-Index Multimode Optical Fibers with Laser-Optimized Bandwidth Characteristics Specified for Wavelength Division Multiplexing,” (2016)), and in particular the fibers have an effective modal bandwidth (EMB) of at least 4700 MHz.Math.km at 850 nm and 2470 MHz.Math.km at 953 nm.
(29) In the discussion below, the core of the co-doped wideband multimode optical fiber disclosed herein may be referred to as the “fiber core” and the cladding and its inner, intermediate and outer regions may be referred to as the fiber cladding, fiber inner cladding region, fiber intermediate cladding region and fiber outer cladding region to distinguish from corresponding regions or sections of a preform used to form the co-doped wideband multimode optical fiber.
(30) General Co-Doped Fiber Configuration
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(34) Co-Doped Fiber Core
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(36) Unfortunately, the bandwidth curve of
(37) The co-doped fiber 10 disclosed herein forms the core 20 using two core dopants, namely GeO.sub.2 and Al.sub.2O.sub.3, i.e., the core is made of silica and is co-doped. As discussed in greater detail below, the co-doped fiber 10 can be made using a co-doped preform fabricated using either an outside vapor deposition (OVD) process, a modified chemical vapor deposition (MCVD) process, or a plasma chemical vapor deposition (PCVD) using GeO.sub.2 and Al.sub.2O.sub.3 dopants and then drawing the preform to form the co-doped fiber.
(38) For the co-doped fiber 10 formed using the two dopants GeO.sub.2 (dopant 1) and Al.sub.2O.sub.3 (dopant 2), the refractive index profile can be described by the following equation
n.sub.1.sup.2(r)=n.sub.0.sup.2(1−2Δ.sub.1r.sup.α.sup.
where Δ.sub.1 and Δ.sub.2 are the relative refractive index changes for two profiles corresponding to α.sub.1 and α.sub.2, respectively, and r is the radial coordinate. The parameters α.sub.1 and α.sub.2 are parameters used to describe the refractive index profile and each can depend on the concentration of the GeO.sub.2 dopant and the Al.sub.2O.sub.3 dopant.
(39) For an optimized profile, α.sub.1 and α.sub.2 satisfy the following conditions:
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for i=1, 2 and where
Δ=Δ.sub.1+Δ.sub.2
and where each of Δ.sub.1 and Δ.sub.2 can have contributions from both dopants.
(41) Two adjustable parameters x.sub.1 and x.sub.2 are introduced to describe the relative index changes such that
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where
δ.sub.11=n.sub.11.sup.2−n.sub.8.sup.2
δ.sub.12=n.sub.12.sup.2−n.sub.8.sup.2
δ.sub.21=n.sub.21.sup.2−n.sub.8.sup.2
δ.sub.22=n.sub.22.sup.2−n.sub.8.sup.2
and where n.sub.11 and n.sub.21 are the refractive indices in the center of the core 20 (r=0) corresponding to dopants 1 and 2, respectively, n.sub.12 and n.sub.22 are the refractive indices at the edge of fiber core (r=r1) corresponding to dopants 1 and 2, respectively, while n.sub.s is the refractive index of pure silica, and
n.sub.0.sup.2=n.sub.11.sup.2+n.sub.21.sup.2−n.sub.8.sup.2.
(43) Using the definitions above, the dopant concentration profiles in the co-doped core 20 can be expressed as
C.sub.1(r)=C.sub.11−(C.sub.11−C.sub.12)(1−x.sub.1)r.sup.α.sup.
C.sub.2(r)=C.sub.21−(C.sub.21−C.sub.22)x.sub.2r.sup.α.sup.
where C.sub.11 and C.sub.21 are the dopant concentrations in the center of the core 20 (r=0) corresponding to dopants 1 and 2, respectively, while C.sub.12 and C.sub.22 are the dopant concentrations at the edge of core 20 (r=r1) corresponding to dopants 1 and 2, respectively. Note that the above equations C.sub.1 and C.sub.2 depend on x.sub.1 and x.sub.2, which also relate to the relative refractive index in the equations above. Wavelength values can be taken as the same as for the definition of δ.sub.11, δ.sub.12, δ.sub.21 and δ.sub.22 for the corresponding refractive index values of n.sub.11, n.sub.21, n.sub.12 and n.sub.22 (e.g., 1550 nm).
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(46) TABLE-US-00001 TABLE 1 GeO.sub.2 (wt %) Al.sub.2O.sub.3 (wt %) Curve (r = 0) (r = r1) α.sub.GeO2 α.sub.Al2O3 REF 15.5 0 2.057 2.057 EX1 16.4 1 2.060 2.060 EX2 18.4 3 2.046 2.046 EX3 19.6 4 2.029 2.029 EX4 20.8 5 2.005 2.005
(47) In generating the results for
(48) The enlargement of the wavelength band Δλ seen in curves 1 thorough 4 in
(49) With reference again to the idealized relative refractive index profile of
(50) The bend performance of the proposed GeO.sub.2 and Al.sub.2O.sub.3 co-doped MMF can be improved by the intermediate cladding region 34 being in the form of a trench or moat as shown. The bend performance of the co-doped fiber 10 has been observed to scale with the moat volume V, which is defined for a moat with Δ3 as a constant Δ3.sub.MIN:
V=Δ3.sub.MIN.Math.[(r3).sup.2−(r2).sup.2].
(51) In an example where the relative refractive index Δ3 varies with radial coordinate (i.e., Δ3(r)), then the moat volume is given by
V=2∫Δ3(r)rdr
with the limits on the integration being from r2 to r3.
(52) Preferably, the minimum relative refractive index Δ3.sub.MIN of the intermediate cladding region (moat) 34 is between −0.1 to −0.7%, and the moat width W3=r3−r2 is between 2 and 10 microns, and the moat volume V is between 60 to 180 μm.sup.2-%. The preferred moat volume V can be achieved in one embodiment by having the moat 34 made using pure silica and by having updoped inner and outer cladding layers 32 and 36.
(53) In an example, the relative refractive index Δ2 of the inner cladding region 32 is that of undoped silica and is preferably matched to the relative refractive index Δ1 at the edge of core, i.e., Δ1(r1)=Δ2(r1). The relative refractive index Δ4 of the outer cladding region 36 can be the same or slightly higher than the relative refractive index Δ2 of the inner cladding region.
(54) In an example, the updoped inner and outer cladding regions 32 and 36 can be made by doping the silica glass with an updopant, such as GeO.sub.2, Al.sub.2O.sub.3, TiO.sub.2, Cl, etc. In a separate embodiment, the moat of the intermediate cladding region 34 can also be constructed using fluorine downdoping. In this embodiment, the Al.sub.2O.sub.3 dopant concentration drops continuously to zero from the maximum doping level following the overall core alpha profile. The inner and outer cladding regions 32 and 36 can be pure silica in this case.
(55) Example Co-Doped Fibers
(56) Modeled examples EX1 through EX7 of GeO.sub.2 and Al.sub.2O.sub.3 co-doped fibers 10 are set forth in Table 2 below. All the examples in Table 2 have a core delta of about 1% relative to the last point of the alpha profile. The cladding 30 can be a uniform cladding with the delta the same as the last point of the alpha profile. The cladding 30 can include a low index trench 34 to improve the bending performance as described above. The core radius r1 is about 25 μm. Other core radii can be used without affecting the bandwidth window significantly as the bandwidth is determined by the core delta. The wavelength units are in nanometers. The parameters λ.sub.L and λ.sub.U stand for the upper and lower wavelengths around the peak wavelength λ.sub.P that have a bandwidth BW of 5 GHz.Math.km, while the Δλ is wavelength band (in nanometers) over which the bandwidth BW is 5 GHz.Math.km or greater, and is defined by the wavelength range between λ.sub.L and λ.sub.U. The example fibers 10 EX1 through EX7 have the Al.sub.2O.sub.3 ramping up in concentration from the fiber centerline AC outwards while the GeO.sub.2 concentration ramps downward, as illustrated in
(57) TABLE-US-00002 TABLE 2 EX Profile α.sub.1 α.sub.2 α.sub.GeO2 α.sub.Al2O3 λ.sub.P λ.sub.L λ.sub.U Δλ EX1 GeO.sub.2 = 16.4 wt % 2.06 2.06 2.15 2.05 880 839 927 88 Al.sub.2O.sub.3 = 1 wt %, (x1 = 0.5, x2 = 0.5) EX2 GeO.sub.2 = 18.5 wt % 2.05 2.05 2.15 2.05 880 822 974 152 Al.sub.2O.sub.3 = 3 wt %, (x1 = 0.5, x2 = 0.5) EX3 GeO.sub.2 = 19.6 wt % 2.03 2.03 2.15 2.02 880 794 >1200 >400 Al.sub.2O.sub.3 = 4 wt %, (x1 = 0.5, x2 = 0.5) EX4 GeO.sub.2 = 20.8 wt % 2.01 2.01 2.11 2.01 880 720 1116 396 Al.sub.2O.sub.3 = 5 wt %, (x1 = 0.5, x2 = 0.5) EX5 GeO.sub.2 = 18.5 wt % 2.17 2.09 2.17 2.25 850 784 948 164 Al.sub.2O.sub.3 = 3 wt %, (x1 = 1, x2 = 2) EX6 GeO.sub.2 = 18.5 wt % 2.10 1.67 1.95 1.3 850 792 943 151 Al.sub.2O.sub.3 = 3 wt %, (x1 = 0.5, x2 = 1.23) EX7 GeO.sub.2 = 18.5 wt % 2.10 2.57 2.33 3.4 850 798 930 132 Al.sub.2O.sub.3 = 3 wt %, (x1 = 0.33, x2 = 1.25) CE1 GeO.sub.2 = 15.5 wt % 2.06 2.06 2.15 na 880 843 923 80 Al.sub.2O.sub.3 = 0 wtl % CE2 GeO.sub.2 = 12.1 wt % 2.07 2.07 2.14 na 850 812 892 60 Al.sub.2O.sub.3 = 3 wt %
(58) The plots of
(59) In some embodiments, the peak wavelength λ.sub.P is in the range from about 800 nm to 1200 nm. In some embodiments, the peak wavelength λ.sub.P is in the range from about 800 to 1000 nm. In some embodiments, peak wavelength λ.sub.P is in the range from about 800 to 900 nm. In some embodiments, the peak wavelength λ.sub.P is in the range from about 820 to 900 nm. In some embodiments, the peak wavelength λ.sub.P is in the range from about 840 to 890 nm.
(60) The comparative examples CE1 and CE2 wherein the Al.sub.2O.sub.3 ramps down in concentration from the centerline outwards show that the wavelength band Δλ of the high BW decreases (e.g., BW≥5 GHz-km drops to 57 nm or lower).
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(62) Summary of Example Fiber Parameters
(63) In an example, the co-doped core 20 is doped with GeO.sub.2 having maximum concentration in the range from 5 wt % to 25 wt % and is doped with Al.sub.2O.sub.3 having a maximum concentration in the range from 1 wt % to 12 wt % or 1 wt % to 10 wt % or 2 wt % to 10 wt % or 2 wt % to 8 wt % or 3 wt % to 6 wt %.
(64) In another example, the co-doped core 20 is doped with GeO.sub.2 having maximum concentration in the range from 8 wt % to 20 wt % and is doped with Al.sub.2O.sub.3 having a maximum concentration in the range from 3 wt % to 8 wt %.
(65) In another example, the co-doped core 20 is doped with GeO.sub.2 having maximum concentration in the range from 8 wt % to 20 wt % and is doped with Al.sub.2O.sub.3 having a maximum concentration in the range from 3 wt % to 10 wt %.
(66) In another example, the co-doped core 20 is doped with GeO.sub.2 having maximum concentration in the range from 10 wt % to 12 wt % and is doped with Al.sub.2O.sub.3 having a maximum concentration in the range from 1 wt % to 3 wt %, and a peak wavelength λ.sub.P in the range from 800 nm to 1100 nm and wherein the wavelength band is in the range from 100 nm to 150 nm.
(67) In another example, the GeO.sub.2 concentration is a first concentration defined by a first alpha value α.sub.1 and the Al.sub.2O.sub.3 concentration is a second concentration defined by a second alpha value α.sub.2, wherein 2.0≤α.sub.1≤2.2 and 2.0≤α.sub.2≤2.6.
(68) In an example, the co-doped core 10 has a maximum relative refractive index Δ1.sub.MAX in the range from 0.5%≤Δ1.sub.MAX≤2% and an intermediate cladding region 34 that comprises a mote and that has a minimum relative refractive index Δ3.sub.MIN, wherein −0.7%≤Δ3.sub.MIN≤−0.1% and a moat width of between 2 microns and 10 microns. Also in an example, the moat has a moat volume V in the range 60 μm.sup.2≤V≤180 μm.sup.2-%.
(69) In an example, the co-doped fiber 10 has a bandwidth BW≥5 GHz.Math.km with a peak wavelength λ.sub.P that is within a wavelength range of 800 nm to 1200 nm and over a wavelength band Δλ of at least 100 nm.
(70) In various examples, the co-doped fiber 10 has a wavelength band Δλ of at least 130 nm, or at least 135 nm, or at least 200 nm or at least 300 nm, or between 100 nm and 300 nm. In another example, the wavelength band Δλ is defined by the wavelength interval between the following lower and upper wavelengths λ.sub.L and λ.sub.U: between λ.sub.L=850 nm and λ.sub.U=980 nm or the wavelength interval between λ.sub.L=850 nm and λ.sub.U=985 nm, or the wavelength interval between λ.sub.L=850 nm and λ.sub.U=1050 nm or the wavelength interval between 4=850 nm and λ.sub.U=1150 nm.
(71) In various examples, the peak wavelength λ.sub.P is within a wavelength range of 800 nm to 1000 nm or 800 nm to 900 nm, or 840 nm to 890 nm.
(72) In various examples, the co-doped core 20 has a diameter of between 20 microns and 70 microns, and the cladding 30 has a diameter of 125 microns.
(73) Fabricating the Co-Doped Fiber
(74) The co-doped fiber 10 can be fabricated using standard optical fiber fabrication drawing techniques using a suitably fabricated glass co-doped preform.
(75) The drawing system 10 also includes a preform holder 160 located adjacent the top side of the draw furnace 102 and that holds the co-doped preform 10P used to form the co-doped fiber 10. The close-up inset of
(76) The glass co-doped preform 10P has generally the same relative configuration as co-doped fiber 10 (e.g., the same profile shape as shown in
(77) The inner and outer preform cladding regions 32P and 36P can be updoped using for example GeO.sub.2, Al.sub.2O.sub.3, TiO.sub.2, Cl, etc. In a separate embodiment, the intermediate preform cladding region 34P can also be constructed by down doping, e.g., using a down dopant such as fluorine. In this embodiment, the Al.sub.2O.sub.3 dopant concentration drops continuously to zero from the maximal doping level in the preform core 20P following an overall core alpha profile. The inner and outer preform cladding regions 32P and 36P can be pure silica in this case or can be updoped.
(78) After the co-doped preform 10P is formed, it is operably supported in the preform holder 160 and relative to the draw furnace 102, as shown in
(79) In the fabrication process, the glass co-doped fiber 10 drawn from co-doped preform 10P exits the draw furnace 102, with tension applied by the tensioner 120. The dimensions (e.g., the diameter) of the co-doped fiber 10 are measured by the non-contact sensors 104A and 104B and the measured dimensions are used to control the draw process. The co-doped fiber 10 can then pass through the cooling mechanism 106, which can be filled with a gas that facilitates cooling at a rate slower than air at ambient temperatures. The coating device 110 then applies the non-glass protective coating material 50M to form the non-glass protective coating 50.
(80) The coated co-doped fiber 10 passes from the tensioner 120 to the guide wheels 130, then through the guide wheels to the spool 150, where the fiber is taken up and stored. The configuration of the glass co-doped preform 10P and the various drawing parameters (draw speed, temperature, tension, cooling rate, etc.) dictate the final form of the co-doped fiber 10.
(81) It will be apparent to those skilled in the art that various modifications to the preferred embodiments of the disclosure as described herein can be made without departing from the spirit or scope of the disclosure as defined in the appended claims. Thus, the disclosure covers the modifications and variations provided they come within the scope of the appended claims and the equivalents thereto.