Two-core optical fibers for distributed fiber sensors and systems
09574911 ยท 2017-02-21
Assignee
Inventors
- Brett Jason Hoover (Middlebury Center, PA)
- Ming-Jun Li (Horseheads, NY)
- Shenping Li (Painted Post, NY)
Cpc classification
G01D5/35383
PHYSICS
G01K11/32
PHYSICS
G01N21/636
PHYSICS
G02B6/0281
PHYSICS
G01D5/35364
PHYSICS
G01K11/3206
PHYSICS
International classification
G01K11/32
PHYSICS
G01D5/353
PHYSICS
Abstract
A two-core optical fiber is provided for use in Brillouin distributed fiber sensor applications and systems. The two-core fiber includes a first and second core. Each core is configured to exhibit a Brillouin frequency shift greater than 30 Mhz relative to the other core. Further, each core possesses temperature and strain coefficients that differ from the other core. The cores can be configured to produce Brillouin frequency shift levels of at least 30 Mhz relative to one another. These differences in shift levels may be effected by adjustment of the material compositions, doping concentrations and/or refractive index profiles of each of the cores. These optical fibers may also be used in BOTDR- and BOTDA-based sensor systems and arrangements.
Claims
1. An optical fiber comprising: a first core, a second core, and a cladding surrounding both of the cores, wherein at least one of the following conditions is satisfied: (i) each core is configured with a refractive index profile that is substantially uniform along its length and differs from the refractive index profile of the other core; (ii) each core is configured with a doping concentration that differs from the doping concentration of the other core; (iii) each core has a different composition than the other core; (iv) the optical fiber further comprises a refractive index ring configured to surround at least one of the cores; (v) the cores are configured such that the distance between the center of the cores is at least 25 m; and (vi) the cores are configured such that the distance between the center of the cores is at least 25 m and each core is surrounded by a low refractive index ring; wherein each core is configured to exhibit a single Brillouin frequency shift peak (BFS peak) when light is launched into the core, and further wherein the BFS peak of each core differs from the BFS peak of the other core in terms of frequency and each core is configured to exhibit a Brillouin frequency shift of at least 30 Mhz relative to the other core.
2. The fiber according to claim 1, wherein each core is configured to exhibit a Brillouin frequency shift of at least 80 Mhz relative to the other core.
3. The fiber according to claim 1, wherein the optical fiber further comprises a refractive index ring configured to surround at least one of the cores.
4. The fiber according to claim 1, wherein the cores are configured such that the relative refractive index of the cores to the cladding is between about 0.2% to 2%.
5. The fiber according to claim 1, wherein the refractive index profile for each core is selected from the group consisting of step-shaped and graded index profiles.
6. The fiber according to claim 1, wherein each core is doped with germania.
7. The fiber according to claim 6, wherein each core is doped with approximately 1 to 10 mol % germania.
8. The fiber according to claim 3, wherein a trench separates the refractive index ring from the at least one of the cores.
9. The fiber according to claim 1, wherein the cores are further configured such that the distance between the center of the cores is at least 25 m.
10. The fiber according to claim 6, wherein each core is doped with a different concentration of germania such that the absolute difference in dopant concentration between the cores is about 0.5 mol % or greater.
11. The fiber according to claim 10, wherein each core is doped with a different concentration of germania such that the absolute difference in dopant concentration between the cores is about 1.2 mol % or greater.
12. The fiber according to claim 10, wherein each core is doped with a different concentration of germania such that the absolute difference in dopant concentration between the cores is about 1.6 mol % or greater, and further wherein the cores are configured such that the distance between the center of the cores is about 55 m and the cladding has an outer diameter of about 125 m.
13. An optical fiber comprising: a first core, a second core, and a cladding surrounding both of the cores, wherein at least one of the following conditions is satisfied: (i) each core is configured with a refractive index profile that is substantially uniform along its length and differs from the refractive index profile of the other core; (ii) each core is configured with a doping concentration that differs from the doping concentration of the other core; (iii) each core has a different composition than the other core; (iv) the optical fiber further comprises a refractive index ring configured to surround at least one of the cores; (v) the cores are configured such that the distance between the center of the cores is at least 25 m; and (vi) the cores are configured such that the distance between the center of the cores is at least 25 m and each core is surrounded by a low refractive index ring; wherein each core is doped with a different concentration of germania such that the absolute difference in dopant concentration between the cores is about 0.5 mol % or greater.
14. An optical fiber comprising: a first core, a second core, and a cladding surrounding both of the cores, wherein at least one of the following conditions is satisfied: (i) each core is configured with a refractive index profile that is substantially uniform along its length and differs from the refractive index profile of the other core; (ii) each core is configured with a doping concentration that differs from the doping concentration of the other core; (iii) each core has a different composition than the other core; (iv) the optical fiber further comprises a refractive index ring configured to surround at least one of the cores; (v) the cores are configured such that the distance between the center of the cores is at least 25 m; and (vi) the cores are configured such that the distance between the center of the cores is at least 25 m and each core is surrounded by a low refractive index ring; wherein each core is doped with a different concentration of germania such that the absolute difference in dopant concentration between the cores is about 1.2 mol % or greater.
15. An optical fiber comprising: a first core, a second core, and a cladding surrounding both of the cores, wherein at least one of the following conditions is satisfied: (i) each core is configured with a refractive index profile that is substantially uniform along its length and differs from the refractive index profile of the other core; (ii) each core is configured with a doping concentration that differs from the doping concentration of the other core; (iii) each core has a different composition than the other core; (iv) the optical fiber further comprises a refractive index ring configured to surround at least one of the cores; (v) the cores are configured such that the distance between the center of the cores is at least 25 m; and (vi) the cores are configured such that the distance between the center of the cores is at least 25 m and each core is surrounded by a low refractive index ring; wherein each core is doped with a different concentration of germania such that the absolute difference in dopant concentration between the cores is about 1.6 mol % or greater, and further wherein the cores are configured such that the distance between the center of the cores is about 55 m and the cladding has an outer diameter of about 125 m.
16. An optical fiber comprising: a first core, a second core, and a cladding surrounding both of the cores, wherein at least one of the following conditions is satisfied: (i) each core is configured with a refractive index profile that is substantially uniform along its length and differs from the refractive index profile of the other core; (ii) each core is configured with a doping concentration that differs from the doping concentration of the other core; (iii) each core has a different composition than the other core; (iv) the optical fiber further comprises a refractive index ring configured to surround at least one of the cores; (v) the cores are configured such that the distance between the center of the cores is at least 25 m; and (vi) the cores are configured such that the distance between the center of the cores is at least 25 m and each core is surrounded by a low refractive index ring; wherein the fiber is further configured such that crosstalk between the cores is 20 dB/km or less.
17. The fiber according to claim 1, wherein the distance between the center of the cores is at least 40 m.
18. The fiber according to claim 16, wherein each core is configured to exhibit a single Brillouin frequency shift peak (BFS peak) when light is launched into the core, and further wherein the BFS peak of each core differs from the BFS peak of the other core in terms of frequency.
19. An optical fiber comprising: a first core, a second core, and a cladding surrounding both of the cores, wherein at least one of the following conditions is satisfied: (i) each core is configured with a refractive index profile that is substantially uniform along its length and differs from the refractive index profile of the other core; (ii) each core is configured with a doping concentration that differs from the doping concentration of the other core; (iii) each core has a different composition than the other core; (iv) the optical fiber further comprises a refractive index ring configured to surround at least one of the cores; (v) the cores are configured such that the distance between the center of the cores is at least 25 m; and the cores are configured such that the distance between the center of the cores is at least 25 m and each core is surrounded by a low refractive index ring, wherein each core is configured to exhibit a single Brillouin frequency shift peak (BFS peak) when light is launched into the core, and further wherein the BFS peak of each core differs from the BFS peak of the other core in terms of frequency; wherein each core is configured to exhibit a Brillouin frequency shift of at least 30 Mhz relative to the other core.
20. The optical fiber according to claim 19, wherein the cores are single mode cores at a 1550 nm wavelength.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
DETAILED DESCRIPTION
(9) Reference will now be made in detail to the present preferred embodiments, examples of which are illustrated in the accompanying drawings. Whenever possible, the same reference numerals will be used throughout the drawings to refer to the same or like parts.
(10) A two-core optical fiber-based approach has been developed to remedy the foregoing problems and BFS-related measurement errors. By properly designing the fiber profiles, choosing certain material compositions, and/or doping concentrations of the two fiber cores, each core can be configured with very different Brillouin properties. These modifications can produce Brillouin frequency shift differences of at least 30 Mhz between the cores. As a result of the different temperature and strain coefficients between the two fiber cores, it is possible to make simultaneous temperature and strain measurements by measuring the BFSs of the two fiber cores. The net result is an approach that allows for the simultaneous measurement of strain and temperature with high spatial resolution and sensing accuracy.
(11) In the discussion below, the following definitions and terminology as commonly used in the art are employed.
(12) Refractive index profile: the refractive index profile is the relationship between the relative refractive index percent (%) and the optical fiber radius r (as measured from the centerline of the optical fiber) over a selected segment of the fiber.
(13) Relative refractive index percent (%) or : the term represents a relative measure of refractive index defined by the equation: (%)=100(n.sub.i.sup.2n.sub.c.sup.2)/2n.sub.i.sup.2 where n.sub.i is the maximum refractive index of the index profile segment denoted as i, and n.sub.c, the reference refractive index. Every point in the segment has an associated relative refractive index measured relative to the reference refractive index.
(14) In a single mode optical fiber, the BFS, .sub.B, is temperature and strain dependent as a result of the thermal expansion and deformation experienced by the fiber. As such, the BFS, .sub.B, changes with temperature and strain. The change of BFS (.sub.B) as a function of strain variation () and temperature variation (T) can be written as:
.sub.B=K.sub.+K.sub.TT(1)
where K.sub.and K.sub.T are the strain and temperature coefficients of the fiber, respectively. Therefore, if temperature (or strain) is fixed, strain (or temperature) at different locations can be evaluated by measuring the change in BFS, .sub.B, at the corresponding locations. However, as shown in Equation (1), it is impossible to distinguish either temperature or strain from the BFS if both temperature and strain changes at a sensing location. This is because the change in BFS, .sub.B, depends on both strain and temperature.
(15) According to one embodiment, a two-core optical fiber 10 is used as a sensing fiber in a Brillouin effect-based distributed fiber sensor. Each fiber core 20, 30 within the fiber 10 is configured in a single mode at the operation wavelength of the Brillouin sensor. Further, each core 20, 30 possesses a single BFS peak. The two fiber cores 20, 30, however, possess different Brillouin frequency shifts. These shifts can be produced by modifying the fiber refractive index profiles, material compositions, and/or doping concentration of the two fiber cores 20, 30. In particular, the BFS dependencies of each fiber core with respect to strain variation () and temperature variation (T) can be written as, respectively:
.sub.B.sup.c1=K.sub..sup.c1+K.sub.T.sup.c1T(2)
.sub.B.sup.c2=K.sub..sup.c2+K.sub.T.sup.c2T(3)
where K.sub..sup.c1 and K.sub.T.sup.c1 are the strain and temperature coefficients of the fiber core 1 (e.g., core 20), respectively, and K.sub..sup.c2 and K.sub.T.sup.c2 are the strain and temperature coefficients of the fiber core 2 (e.g., core 30), respectively.
(16) By solving Equations (2) and (3), the strain and temperature variations are given by Equation (4) below:
(17)
(18) According to one embodiment, a two-core fiber (e.g., fiber 10) can be designed to let K.sub..sup.c1K.sub.T.sup.c2K.sub..sup.c2K.sub.T.sup.c1. A solution therefore exists for the matrix Equation (4) with such a fiber. With this fiber, it is therefore possible to obtain simultaneous measurements of strain and temperature by monitoring the BFSs of the two fiber cores (e.g., cores 20, 30).
(19) As shown in
(20)
(21) The core radius 24 and 34 (for cores 20 and 30) are selected in the range of 3 to 10 m. This ensures that core 20 and 30 are in a single mode at an operating wavelength, for example 1550 nm. The low refractive index ring 28, 38 has a relative refractive index, .sub.2, in the range of 0.7% to 0.1%, and a width 28w, 38w in the range of 1 to 6 m. This low index trench can be offset by a distance 28d, 38d from the outer diameter of core 20 and/or 30. Preferably, the offset 28d, 38d is between 0 to 5 m.
(22) The distance 16 between the two cores 20 and 30 is greater than 25 m to minimize the cross talk between them. More preferably, distance 16 is greater than 30 m. Even more preferably, distance 16 exceeds 40 m. The diameter of fiber 10 may be 1000 m or less (i.e., radius 14 is 500 m or less). Preferably, the diameter of fiber 10 is 200 m or less (i.e., radius 14 is 100 m or less). More preferably, the diameter of fiber 10 is 150 m or less. For example, the diameter of fiber 10 may be set at 125 m.
(23) For practical sensing applications, it is desirable to ensure low crosstalk between two neighboring cores (e.g., cores 20 and 30) to ensure good system performance. The crosstalk may be 20 dB/km or less. Preferably, the crosstalk is less than 30 dB/km. More preferably, the amount of crosstalk is less than 35 dB/km. Even more preferably, the crosstalk is less than 40 dB/km.
(24) A two-core fiber 10 according to one embodiment can be designed by calculating the optical and acoustic properties of the two cores 20 and 30. The optical field and longitudinal acoustic fields are governed by similar types of scalar wave equations. Accordingly, Equations (5) and (6) can be written in the same form for the fundamental optical mode and the acoustic mode with no azimuthal variations:
(25)
where the subscript o stands for the optical field, subscript a stands for the acoustic field, and r corresponds to the radius of fiber 10. For an optical mode, f.sub.o(r) is the optical field distribution, n.sub.o(r) describes the refractive index as a function of the radial position, and k.sub.o is the optical wave number, which is linked to the optical wavelength by 2/. For an acoustic mode, f.sub.a(r) is the acoustic field distribution, n.sub.a(r) describes the refractive index as a function of radial position, r, and k.sub.a is the acoustic wave number. In addition, n.sub.oeff and n.sub.aeff are the effective optical refractive index and effective longitudinal acoustic refractive index, respectively.
(26) The acoustic refractive index is thus defined according to Equations (7) and (8) as:
(27)
where is the acoustic wavelength. In Equation (7), V.sub.clad is the longitudinal acoustic velocity in the cladding, and V.sub.L(r) describes the longitudinal acoustic velocity as a function of radial position r. Further, the effective longitudinal acoustic index n.sub.aeff is related to the effective longitudinal velocity V.sub.eff and the longitudinal acoustic velocity in the cladding V.sub.clad by Equation (8a) below:
n.sub.aeff=V.sub.clad/V.sub.eff(8a)
(28) In practice, the (optical) refractive index profile, n.sub.o(r), is often described by the optical delta profile (optical refractive index delta profile), .sub.o. Similarly, it is possible to define the delta (relative refractive index) for the acoustic refractive index, .sub.a, such that each optical refractive index profile, n.sub.o(r), is also associated with a corresponding acoustic delta profile, n.sub.a(r), that describes the acoustic behavior of the longitudinal acoustic field. Using the index definitions for the optical and acoustic waves, the optical delta profile, .sub.o, and acoustic delta profiles, .sub.a, can be described using Equations (9) and (10) as follows:
(29)
where subscript o stands for optical wave, subscript a stands for acoustic wave, and subscript c denotes the refractive index for the cladding.
(30) The optical refractive index of Ge- and F-doped silica glass, n.sub.o(w.sub.Ge, w.sub.F), as a function of the Ge and F doping concentration, is described by Equation (11):
n.sub.o(w.sub.Ge,w.sub.F)=n.sub.o(1+1.010.sup.3w.sub.Ge3.310.sup.3w.sub.F)(11)
where w.sub.Ge is the mole percent of the GeO.sub.2 dopant, and w.sub.F is the mole percent of the F dopant. The GeO.sub.2 dopant contributes to an increase in the refractive index from that of pure silica, and the F dopant contributes to a decrease in the refractive index from that of the pure silica.
(31) Similarly, the role of the Ge and F doping on the acoustic refractive index n.sub.a(w.sub.Ge, w.sub.F), can be expressed by Equation (12):
n.sub.a(w.sub.Ge,w.sub.F)=1+7.210.sup.3w.sub.Ge+2.710.sup.3w.sub.F)(12)
As such, Equations (11) and (12) demonstrate that the Ge dopant increases both the optical and acoustic refractive index in the cores 20 and 30 of fiber 10. For example, cores 20 and 30 may be doped with 1 to 10 mol % GeO.sub.2 to produce this effect. On the other hand, the F dopant decreases the optical index, while increasing the acoustic index.
(32) For a given dopant profile, an effective refractive index n.sub.oeff of a guided optical mode and an effective longitudinal velocity V.sub.eff of a guided acoustic mode can be obtained by solving Equations (5) through (8a). The relationship between the effective longitudinal acoustic index n.sub.aeff and the effective longitudinal velocity V.sub.eff is described earlier. Accordingly, the Brillouin frequency shift, V.sub.B, is thus calculated by Equation (13) below:
(33)
(34) Table One below outlines various, modeled parameters for two-core fiber 10 in five design examples. Using the equations discussed above, Brillouin frequency shift values are calculated and listed in Table One for these five two-core fiber design examples. Example 1 has two cores, each with a step index (see, e.g.,
(35) In Example 2, core 1 is the same as core 1 from Example 1. However, the core 2 in Example 2 has a higher GeO.sub.2 doping level of 5.5 mol %. As a result, the difference in Brillouin frequency shift between these cores is 111.8 Mhz, larger than that estimated in Example 1. Because of larger core delta differences (i.e., differences in relative refractive index) between the cores in Example 2, the cores can be placed closer together.
(36) The two-core fibers simulated in Examples 3 and 4 have graded index profiles (see, e.g.,
(37) The two-core fiber outlined in Example 5 in Table One possesses cores with step index profiles comparable to the cores in the fiber exhibited by Example 1. However, the two-core fiber of Example 5 also has a low index ring 28, 38 in the cladding encapsulating the cores. This low index ring improves the light confinement, thereby reducing the bending loss. Further, it allows the cores to be placed closer together in the fiber. In Example 5, the core spacing is reduced to 40 m. Finally, it should be noted that for all Examples, the difference in Brillouin frequency shift between the cores is at least 30 Mhz.
(38) TABLE-US-00001 TABLE ONE Example 1 Example 2 Example 3 Example 4 Example 5 Core 1 Core 2 Core 1 Core 2 Core 1 Core 2 Core 1 Core 2 Core 1 Core 2 Core spacing (m) 50 45 55 47 40 Core GeO.sub.2 (mol %) 3.41 4.6 3.41 5.5 4.1 4.6 4.1 5.5 3.41 5.5 Optical core delta (%) 0.34 0.46 0.34 0.55 0.41 0.46 0.41 0.55 0.34 0.55 Acoustic core delta (%) 2.4 3.21 2.4 3.81 2.87 3.21 2.87 3.81 2.4 3.81 Core radius (m) 4.2 4.2 4.2 3.9 5.8 6.2 5.8 5.6 4.5 4 Core alpha 200 200 200 200 2 2 2 2 200 200 Ring F (mol %) 0 0 0 0 0 0 0 0 1.51 0.91 Optical ring delta (%) 0 0 0 0 0 0 0 0 0.5 0.3 Acoustic ring delta (%) 0 0 0 0 0 0 0 0 0.41 0.25 Ring offset d (m) na na na na na na na na 5.4 4.8 Ring width (m) na na na na na na na na 3.7 5.28 Cutoff (nm) 1322 1532 1322 1516 1354 1531 1354 1513 1336 1519 MFD (m) 10.3 9.2 10.3 8.4 10.4 10.1 10.4 9.2 10.2 8.5 Effective area (m.sup.2) 81.8 67.4 81.8 55.9 81 76.9 81 63.9 82.3 57.9 Dispersion (ps/nm/km) 16.5 17.5 16.5 16.4 16.7 17.7 16.7 16.7 19.5 18.2 Brillouin frequency shift 10816.7 10744.2 10816.7 10704.9 10795.7 10765.2 10795.7 10729 10816.9 10705 (Mhz) Delta Brillouin 72.5 111.8 30.5 66.7 111.9 frequency shift, .sub.B (Mhz)
(39) The foregoing two-core optical fibers can be employed in various Brillouin fiber sensor system configurations for the purpose of simultaneous measurement of temperature and strain effects. Exemplar configurations are depicted in
(40) In a further embodiment,
(41) In another embodiment, a BOTDA fiber sensor system 200a is depicted schematically in
(42) A still further embodiment is depicted in
(43) As outlined below in Table Two, a two-core fiber 10 has been manufactured with two cores, each with a measured radius of 4.65 m and a fiber diameter of 125 m. Both cores have a step-shaped refractive index profile (see, e.g.,
(44) TABLE-US-00002 TABLE TWO Manufactured Dual-Core Fiber Core 1 Core 2 Core spacing (m) 55.5 Core GeO.sub.2 (mol %) 5.0 3.4 Optical core delta (%) 0.46 0.34 Core radius (m) 4.65 4.65 Fiber diameter (m) 125 Ring F (mol %) 0 0 Optical ring delta (%) 0 0 Cutoff (nm) 1520 1320 MFD (m) 9.3* 10.4* Effective area (m.sup.2) 68* 84* Loss @1550 nm (dB/km) 0.43 0.33 Brillouin frequency shift (Mhz) 10727 10845 Delta Brillouin frequency shift, .sub.B 118 (Mhz) Note: Values denoted in the table above with an asterisk (*) are calculated, not measured
(45) The two-core fiber approach can thus be used to improve the accuracy of simultaneous strain and temperature measurements in both BOTDA and BOTDR regimes. Among other benefits, the two-core fiber approach is expected to reduce the installation cost of distributed Brillouin fiber sensors. Further, it will be apparent to those skilled in the art that various modifications and variations can be made without departing from the spirit or scope of the claims.