Hollow-core photonic bandgap fibers and methods of manufacturing the same
09904008 ยท 2018-02-27
Assignee
Inventors
- Eric Rodrigue Numkam Fokoua (Southampton, GB)
- Francesco Poletti (Southampton, GB)
- David John Richardson (Southampton, GB)
Cpc classification
G02B6/02357
PHYSICS
International classification
Abstract
A hollow-core photonic bandgap fiber having a hollow core and a cladding which surrounds the core at a core boundary and comprises a lattice or network of struts and interstitial nodes which together define an array of cavities, wherein a ratio between a difference in a length of a longest and shortest pitch spacing of the nodes at the core boundary to an average pitch spacing at the core boundary is less than about 0.3.
Claims
1. A hollow-core photonic bandgap fiber having a hollow core and a cladding which surrounds the core at a core boundary and comprises a lattice or network of struts and interstitial nodes which together define an array of cavities, wherein the nodes at the core boundary have different pitch spacings and a a ratio between a difference in a length of a longest and shortest pitch spacing of the nodes at the core boundary to an average pitch spacing at the core boundary is less than about 0.3.
2. The fiber of claim 1, wherein a ratio between a difference in a length of a longest and shortest pitch spacing of the nodes at the core boundary to an average pitch spacing at the core boundary is (i) less than about 0.25, (ii) less than about 0.2, (iii) less than about 0.1, (iv) less than about 0.05, (v) less than about 0.02, or (vi) less than about 0.01.
3. The fiber of claim 1, wherein the core is gas filled, wherein the gas is one of air, argon, xeon, helium or hydrogen, or the core is a vacuum.
4. The fiber of claim 1, wherein the core is substantially circular in section.
5. The fiber of claim 1, wherein the network is formed of glass.
6. The fiber of claim 1, wherein the cavities comprise gas-filled holes, wherein the gas is one of air, argon, xeon, helium or hydrogen, or the cavities comprise a vacuum.
7. The fiber of claim 1, wherein the cavities are arranged in triangular-packed relation, square-packed relation or hexagonal-packed relation.
8. The fiber of claim 1, wherein a ratio of the average cross-sectional area of the nodes at the core boundary to the average cross-sectional area of the nodes within a body of the cladding is (i) from about 0.8 to about 1.2, (ii) from about 0.9 to about 1.1, (iii) from about 0.95 to about 1.05, or (iv) the nodes at the core boundary and the nodes within a body of the cladding are substantially equi-sized.
9. The fiber of claim 1, wherein a ratio of the average cross-sectional area of the nodes at the core boundary to the average cross-sectional area of the nodes within a body of the cladding is from about 1.4 to about 2.0.
10. The fiber of claim 1, wherein the struts at the core boundary have substantially equal thickness.
11. The fiber of claim 1, wherein a ratio of a thickness of the struts at the core boundary to a thickness of the struts within a body of the cladding is (i) from about 0.4 to about 3.5, (ii) from about 0.4 to about 1.0, (iii) from about 0.6 to about 1.0, (iv) from about 0.7 to about 1.0, or (v) from about 0.8 to about 1.0.
12. The fiber of claim 1, wherein an average spacing of the cavities has a variance outside of the range of from 0.98 to 1.02.
13. The fiber of claim 1, wherein the fiber has a three cell (3c) core defect, a seven cell (7c) core defect, a nineteen cell (19c) core defect, a thirty-seven cell (37c) core defect or a sixty-one cell (61c) core defect.
14. The fiber of claim 1, wherein the effective diameter of the core is (i) greater than about 1.05 n, (ii) from about 1.05 n to about 1.35 n, (iii) from about 1.1 n to about 1.35 n, (iv) from about 1.15 n to about 1.30 n, or (v) from about 1.05 n to about 1.25 n, where n is the number of cells removed to form the core along the diagonal and is the average spacing of the cavities.
15. The fiber of claim 1, wherein a ratio of a thickness of the struts to an average spacing of the nodes is (i) less than about 0.05, or (ii) less than about 0.02.
16. The fiber of claim 1, wherein a ratio of a cross-sectional area of the struts to a cross-sectional area of the nodes is (i) from about 1 to about 30, (ii) from about 1 to about 20, (iii) from about 2 to about 20, (iv) from about 4 to about 13, (v) from about 4 to about 10, or (vi) from about 6 to about 10.
17. The fiber of claim 1, wherein a ratio of the effective diameter of the core to the effective diameter of the cladding is (i) at least about 0.33 when five rings of cavities surround the core, (ii) at least about 0.3 when six rings of cavities surround the core, (iii) at least about 0.35 when six rings of cavities surround the core, or (iv) at least about 0.27 when seven rings of cavities surround the core.
18. A hollow-core photonic bandgap fiber having a hollow core and a cladding which surrounds the core at a core boundary and comprises a lattice or network of struts and interstitial nodes which together define an array of cavities, wherein the nodes at the core boundary have different pitch spacings, and: (i) a ratio of the average cross-sectional area of the nodes at the core boundary to the average cross-sectional area of the nodes within a body of the cladding is (i) from 0.8 to 1.2, or (ii) from 1.4 to 2.0; or (ii) a ratio of a thickness of the struts at the core boundary to a thickness of the struts within a body of the cladding is from 0.4 to 1.0.
19. A hollow-core photonic bandgap fiber having a hollow core and a cladding which surrounds the core at a core boundary and comprises a lattice or network of struts and interstitial nodes which together define an array of cavities, wherein the nodes at the core boundary have different pitch spacings and the effective diameter of the core is greater than 1.05 n, where n is the number of cells removed to form the core along the diagonal and is the average spacing of the cavities.
20. A hollow-core photonic bandgap fiber having a hollow core and a cladding which surrounds the core at a core boundary and comprises a lattice or network of struts and interstitial nodes which together define an array of cavities, wherein the nodes at the core boundary have different pitch spacings, and: (i) a ratio of a thickness of the struts to an average spacing of the nodes is less than 0.05; (ii) a ratio of a cross-sectional area of the struts to a cross-sectional area of the nodes is from 1 to 30; (iii) a ratio of the effective diameter of the core to the effective diameter of the cladding is at least 0.33 when five rings of cavities surround the core; (iv) a ratio of the effective diameter of the core to the effective diameter of the cladding is at least 0.3 when six rings of cavities surround the core; or (v) a ratio of the effective diameter of the core to the effective diameter of the cladding is at least 0.27 when seven rings of cavities surround the core.
Description
(1) Preferred embodiments of the present invention will now be described hereinbelow by way of example only with reference to the accompanying drawings, in which:
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(16) In the present embodiments the fiber loss accounts for contributions from both leakage (or confinement) loss and scattering from surface roughness. The latter is known to impose a fundamental limit on the achievable attenuation in HC-PBGFs, and as recently shown, is the major loss contribution in fibers with dB/km loss levels with six or more rings of air holes outside the core defect [3, 4]. For computation purposes, but without loss of generality, the scattering loss is computed here not by the rigorous treatment formulated in [4], but through the simplified method of calculating the normalized interface field intensity of the fiber on the air-glass interfaces [3]:
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where E and H are the electric and magnetic field vectors of the fundamental mode. In addition, the scattering loss is calibrated by comparing multiple measurements and simulations so that a loss value of 3.5 dB/km around a wavelength of 1.5 m corresponds to an interface field intensity (F) of 0.0116 m.sup.1.
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(19) The HC-PBGF comprises an elongate fiber body having a hollow core 103 and a cladding 105 which surrounds the core 103 at a boundary 107.
(20) In this embodiment the core 103 is gas filled, here air filled. In other embodiments the core 103 could be filled with any of argon, xeon, helium or hydrogen.
(21) In an alternative embodiment the core 103 could be a vacuum.
(22) In another alternative embodiment the core 103 could contain a liquid.
(23) In this embodiment the core 103 is substantially circular in section.
(24) The cladding 105 comprises a lattice or network 108 of struts 109, 109 and interstitial nodes 111, 111, which together define a plurality of cavities 115, in this embodiment extending along the length of the fiber body, which are arranged in packed relation around the core 103.
(25) In this embodiment the network 108 is formed of glass, such as silicate glasses, fluoride glasses, telluride glasses or chalcogenicide glasses.
(26) In an alternative embodiment the network 108 could be formed of a polymer.
(27) In one embodiment different materials, glasses or polymers, may be used in the cladding 105 for an inner region at the core boundary 107 and for an outer region.
(28) In one embodiment different materials, glasses or polymers, can be used in regions across the cross-section of the cladding 105.
(29) In this embodiment the cavities 115 comprise gas-filled holes, here air-filed holes.
(30) In other embodiments the cavities 115 could be filled with any of argon, xeon, helium or hydrogen.
(31) In an alternative embodiment the cavities 115 could be a vacuum.
(32) In another alternative embodiment the cavities 115 could contain a liquid.
(33) In this embodiment the cavities 115 are arranged in triangular-packed relation.
(34) In alternative embodiments the cavities 115 could be packed in other relation, such as square-packed or hexagonal-packed.
(35) In this embodiment the struts 109 at the core boundary 107 have substantially equal length, and the nodes 111 at the core boundary 107 are substantially equi-spaced at a pitch p.
(36) The present inventors have established that surprisingly, and contrary to the understanding in the art which requires an exact periodicity of the structure of the cladding 103, as illustrated in the ideal fiber of
(37) The present inventors postulate that the broader operational bandwidth is provided by improved uniformity of the core struts 109 in terms of length and mass, arising from equi-spacing of the core nodes 111, and that the reduction in fiber loss arises as a result of the field being equally prevented from overlapping each of the core struts 109.
(38) In one embodiment the core nodes 111 have substantially the same size as the nodes 111 within the body of the cladding 105 which arrangement yields the lowest fiber loss.
(39) In this embodiment the core struts 109 have an average thickness (t.sub.c) of about 23 nm, the cladding struts 109 have an average thickness (t.sub.c) of 47 nm, the average cladding node area is 0.47 m.sup.2 and the overall effective fiber diameter (D.sub.cladding) is 80 m, which are the same as for the ideal fiber of
(40) In this embodiment the fiber is a nineteen cell (19c) fiber, having an effective core diameter of 5, where is the average spacing of the cavities 115, which is the same size as the ideal fiber of
(41) In an alternative embodiment the fiber could have a different core size, for example, a thirty-seven cell (37c) fiber, having an effective core diameter of 7, or a sixty-one cell (61c) having an effective core diameter of 9.
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(43) The fiber of this embodiment is quite similar to the fiber of the first-described embodiment, and thus, in order to avoid unnecessary duplication of description, only the differences will be described in detail, with like parts being designated by like reference signs.
(44) In this embodiment the fiber has an enlarged core 103 as compared both to the ideal fiber of
(45) In this embodiment the core 103 has an effective diameter of 1.26 times greater than that of the ideal fiber of
(46) In one embodiment the average cavity spacing is from about 3 m to about 6 m in fibers operating at a wavelength of 1.55 m.
(47) In another embodiment the average cavity spacing is from about 4 m to about 8 m in fibers operating at the minimum loss wavelength of 2 m.
(48) As illustrated in
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(50) In addition, as illustrated in
(51) Furthermore, as illustrated in
(52) For the purposes of calculation, the area of each strut 109 is the area over which the strut 109 has a substantially uniform thickness, and the area of each node 111 is the area enclosed between three adjoining struts 109 of substantially uniform thickness.
(53) In the present invention, loss is minimized by providing that the ratio of the average area of the nodes 111 to the average area of the struts 109 is from about 1 to about 30, preferably from about 1 to about 20, still more preferably from about 2 to about 20, yet more preferably from about 4 to about 13, yet still more preferably from about 4 to about 10, and still yet more preferably from about 6 to about 10.
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(55) In the first fiber (Fiber A1), the core 115 has an effective core radius (R.sub.core) of 13 m, the ratio of the effective core diameter (D.sub.core) to the effective cladding diameter (D.sub.cladding) is 0.31, whereby the thickness of the microstructured cladding in the radial direction is 28.93 m, the average strut thickness (t.sub.c) is 110 nm, the fillet radius (r.sub.c/W) is 0.21, where W is the average diameter of the cavities 115, and the photonic bandgap is centered around a wavelength of 1.7 m.
(56) In the second fiber (Fiber A2), the core 115 has an effective core radius (R.sub.core) of 13 m, the thickness of the microstructured cladding in the radial direction is 26.84 m (95% of that of Fiber A1), the average strut thickness (t.sub.c) is 110 nm, the fillet radius (r.sub.c/W) is 0.21, and the photonic bandgap is centered around a wavelength of 1.65 m.
(57) In the third fiber (Fiber A3), the core 115 has an effective core radius (R.sub.c) of 13 m, the thickness of the microstructured cladding in the radial direction is 24.74 m (90% of that of Fiber A1), the average strut thickness (t.sub.c) is 110 nm, the fillet radius (r.sub.c/W) is 0.21, and the photonic bandgap is centered around a wavelength of 1.625 m.
(58) As can be seen from
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(60) These oversized corner cavities arise as a natural consequence of surface tension trying to create a circular core surround from an original hexagonal structure, and in an alternative embodiment could be undersized.
(61) In this embodiment the fiber has an effective core diameter (D.sub.core) of 26 m, the ratio of the core diameter (D.sub.core=2R.sub.c) to the cladding diameter (D.sub.cladding) is 0.36 (which compares to 0.31 for the embodiment of
(62) In this embodiment the length uniformity (Q) of the pitches of the adjacent core nodes 109 for each of the Fibers B1 to B6, which is given by a ratio between the length difference between the longest and shortest pitches (I) and the average length of the pitches of the core nodes 109 (mean(I)), is 0.01, 0.15, 0.29, 0.45, 0.57 and 0.74, which compares to a length uniformity (Q) of 0.536 for the ideal fiber of
(63) In addition, conservation of the glass volume in the struts 109, 109 was imposed, resulting in struts 111, 111 longer than average being thinner than and vice-versa for shorter struts 109, 109.
(64) In Fibers B1 to B6, the size of the corner holes was increased in incremental steps from 2.8R.sub.c/(53) to 4.8R.sub.c/(53), and the mode profiles and loss computed for all wavelengths across the bandgap.
(65) As before, the scattering loss contribution remains dominant for the six ring structures. Although the leakage loss contribution in the fiber with the most enlarged corner holes 115 (Fiber B6) is twice as much as for the fiber with the least enlarged corner holes 115 (Fiber B1), this still only amounts to 0.035 dB/km, which is a small fraction of the total loss.
(66) As can be seen from
(67) It is striking to note that the structure considered to date to be the ideal fiber design, as illustrated in
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(69) As will be seen, when mass conservation is applied to the wall at the core boundary 107 in the absence of core tube in the preform (Fiber C1), the fundamental mode bandwidth is wide and loss remains low. Additionally, the effective indices of all the guided modes are clearly separated.
(70) When the core wall thickness is increased by, for example, introducing a core tube as thick as the cladding capillaries (Fiber C2), there is only a small bandwidth or loss penalty for fundamental mode transmission, with the minimum loss increasing from 2 to 2.4 dB/km, with a 10 nm reduction in the bandwidth.
(71) In this embodiment the surface modes introduced cross the fundamental mode near the short wavelength edge of the photonic bandgap, ensuring that the bandwidth for the fundamental mode remains largely unaffected. Higher order modes, however, interact with these surface modes near the center of the bandgap and therefore suffer a severe reduction in bandwidth. This also confirms that the design with equal node spacing on the core boundary 107 not only provides the lowest loss but is also more tolerant to thicker in core wall.
(72) Further increasing the core wall thickness (Fiber C3) has limiting effects on performance. As can be seen, when a core tube which is 1.25 times thicker than the capillaries is used, surface modes anti-cross with the fundamental mode near the middle of the bandgap, resulting in higher losses and severe reduction in bandwidth.
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(74) As will be seen, the reduction in bandwidth and increase in loss is clearly more noticeable for fibers with oversized corner holes 115, increasing from a minimum of 2.9 dB/km over a bandwidth of 230 nm (Fiber D1) to 4.6 dB/km over a bandwidth of 160 nm (Fiber D2).
(75) Similarly to Fiber C3, further increasing the core wall thickness (Fiber D3) has significant limiting effects on performance.
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(77) In this embodiment the pitch of the cavities 115 () is 3.03 m, d/ is 0.987 and D.sub.c/W is 0.6, where W is the average effective internal diameter of the cavities 115.
(78) As can be seen, the fiber of the present invention allows readily for engineered dispersion through adjustment of the size of the core nodes 111 at the core boundary 107.
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(80) As regards application, the HC-PBGF of the present invention has diverse application, including optical fiber communication systems, in particular ultrahigh capacity, ultralong haul systems and low latency short haul systems (such as of interest to financial trading firms/banks), datacomms, in particular low latency fiber links in datacentres and supercomputers, large scale high-energy physics (HEP), in particular use for low latency data transfer in detector arrays and for timing synchronisation, high-power laser delivery, in particular continuous-wave and pulsed radiation formats at diverse wavelengths, and gas sensing, in particular compact gas cells for environmental sensing/laser stabilisation.
(81) Finally, it will be understood that the present invention has been described in its preferred embodiments and can be modified in many different ways without departing from the scope of the invention as defined by the appended claims.
REFERENCES
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