Hollow-core optical fibers
A hollow-core optical fiber may include a hollow core extending along a central longitudinal axis of the fiber; a substrate; a plurality of first cladding elements spaced apart from each other and positioned between the hollow core and the substrate, each of the first cladding elements extending in a direction parallel to the central longitudinal axis of the fiber, each of the first cladding elements including a first capillary; and a plurality of second cladding elements spaced apart from each other and positioned between the hollow core and the substrate, each of the second cladding elements extending in a direction parallel to the central longitudinal axis of the fiber, each of the second cladding elements including a second capillary. Each of the first cladding elements directly contacts the inner surface of the substrate, and none of the second cladding elements directly contacts the inner surface of the substrate.
1. A hollow-core optical fiber comprising:
a hollow core extending along a central longitudinal axis of the hollow-core optical fiber;
a substrate, the substrate comprising a tubular shape and an inner surface surrounding the central longitudinal axis of the hollow-core optical fiber;
a plurality of first cladding elements spaced apart from one another and positioned between the hollow core and the substrate, each of the plurality of first cladding elements extending in a direction parallel to the central longitudinal axis of the hollow-core optical fiber, each of the plurality of first cladding elements comprising a first capillary, the first capillary comprising an inner surface defining a first cavity, the first cavity having a first diameter and being occupied solely by a gas; and
a plurality of second cladding elements spaced apart from one another and positioned between the hollow core and the substrate, each of the second cladding elements extending in a direction parallel to the central longitudinal axis of the hollow-core optical fiber, each of the second cladding elements comprising a second capillary, the second capillary comprising an inner surface defining a second cavity, the second cavity having a second diameter and being occupied solely by the gas, the second diameter differing from the first diameter, wherein:
each of the plurality of first cladding elements directly contacts the inner surface of the substrate;
none of the second cladding elements directly contacts the inner surface of the substrate;
each first cladding element is spaced apart from adjacent first cladding elements in a circumferential direction by one of the second cladding elements in an alternating manner, and
the second diameter is greater than the first diameter.
2. The hollow-core optical fiber of claim 1 , wherein each second capillary directly contacts at least one first capillary.
3. The hollow-core optical fiber of claim 1 , wherein each second cladding element is spaced apart from the inner surface of the substrate in a radial direction.
4. The hollow-core optical fiber of claim 1 , wherein each second cladding element is spaced apart from adjacent second cladding elements in a circumferential direction.
5. The hollow-core optical fiber of claim 1 , wherein each first capillary is directly connected to two second capillaries.
6. The hollow-core optical fiber of claim 1 , wherein:
each first capillary comprises a first capillary central longitudinal axis parallel to the central longitudinal axis of the hollow-core optical fiber and the first capillary central longitudinal axis is a first radial distance from the central longitudinal axis;
each second capillary comprises a second capillary central longitudinal axis parallel to the central longitudinal axis of the hollow-core optical fiber and the second capillary central longitudinal axis is a second radial distance from the central longitudinal axis; and
the first radial distance is greater than the second radial distance.
7. The hollow-core optical fiber of claim 1 , wherein each first capillary has an inner diameter from 12 μm to 54 μm.
8. The hollow-core optical fiber of claim 1 , wherein each first capillary has a wall thickness from 0.1 μm to 4.0 μm.
9. The hollow-core optical fiber of claim 1 , wherein each second capillary has an inner diameter from 16 μm to 65 μm.
10. The hollow-core optical fiber of claim 1 , wherein each second capillary has a wall thickness from 0.1 μm to 4.0 μm.
11. The hollow-core optical fiber of claim 1 , wherein the plurality of first cladding elements and the plurality of second cladding elements are configured to provide an anti-resonant effect operable to confine an optical signal having a wavelength from 350 nm to 8000 nm in the hollow core.
12. The hollow-core optical fiber of claim 1 , wherein the hollow-core optical fiber has a confinement loss that varies with wavelength and the hollow-core optical fiber has a minimum confinement loss of a fundamental mode of an optical signal propagating in the hollow-core optical fiber less than or equal to 0.50 dB/km within a wavelength range from 350 nm to 8000 nm.
13. A hollow-core optical fiber, comprising:
a hollow core extending along a central longitudinal axis of the hollow-core optical fiber;
a substrate, the substrate comprising a tubular shape and an inner surface surrounding the central longitudinal axis of the hollow-core optical fiber;
a plurality of first cladding elements spaced apart from one another and positioned between the hollow core and the substrate, each of the plurality of first cladding elements extending in a direction parallel to the central longitudinal axis of the hollow-core optical fiber, each of the plurality of first cladding elements comprising a first capillary, the first capillary comprising an inner surface defining a first cavity, the first cavity having a first diameter and being occupied solely by a gas; and
a plurality of second cladding elements spaced apart from one another and positioned between the hollow core and the substrate, each of the second cladding elements extending in a direction parallel to the central longitudinal axis of the hollow-core optical fiber, each of the second cladding elements comprising a second capillary, the second capillary comprising an inner surface defining a second cavity, the second cavity having a second diameter and being occupied solely by the gas, the second diameter differing from the first diameter; and
a plurality of third cladding elements spaced apart from one another and positioned between the plurality of second cladding elements and the hollow core, each of the plurality of third cladding elements extending in a direction parallel to the central longitudinal axis of the hollow-core optical fiber, wherein each of the plurality of third cladding elements comprises a third capillary, the third capillary comprising an inner surface defining a third cavity having a third diameter and being occupied solely by the gas, wherein:
each of the plurality of first cladding elements directly contacts the inner surface of the substrate;
none of the second cladding elements directly contacts the inner surface of the substrate; and
each first cladding element is spaced apart from adjacent first cladding elements in a circumferential direction by one of the second cladding elements in an alternating manner, and
the second diameter is greater than the first diameter; and
each third cladding element is spaced apart from adjacent third cladding elements in a circumferential direction by one of the second cladding elements in an alternating matter; and
none of the third cladding elements directly contacts the inner surface of the substrate.
14. The hollow-core optical fiber of claim 13 , wherein the third diameter differs from the first diameter and the second diameter.
15. A hollow-core optical fiber comprising:
a hollow core extending along a central longitudinal axis of the hollow-core optical fiber;
a substrate, the substrate comprising a tubular shape and an inner surface surrounding the central longitudinal axis of the hollow-core optical fiber;
a plurality of first cladding elements spaced apart from one another and positioned between the hollow core and the substrate, each of the plurality of first cladding elements extending in a direction parallel to the central longitudinal axis of the hollow-core optical fiber, each of the plurality of first cladding elements comprising a first capillary, the first capillary comprising an inner surface defining a first cavity, the first cavity having a first diameter, wherein each of the plurality of first cladding elements directly contacts the inner surface of the substrate; and
a plurality of second cladding elements spaced apart from one another and positioned between the hollow core and the substrate, each of the second cladding elements extending in a direction parallel to the central longitudinal axis of the hollow-core optical fiber, each of the second cladding elements comprising a second capillary, the second capillary comprising an inner surface defining a second cavity, the second cavity having a second diameter, the second diameter differing from the first diameter, wherein none of the second cladding elements directly contacts the inner surface of the substrate; and
wherein each second capillary comprises a nested capillary, each nested capillary directly contacting the inner surface of the second capillary; and
wherein each first cladding element is spaced apart from adjacent first cladding elements in a circumferential direction by one of the second cladding elements in an alternating manner, and
wherein the second diameter is greater than the first diameter.
16. The hollow-core optical fiber of claim 15 , wherein each nested capillary has an inner diameter from 6 μm to 25 μm.
17. The hollow-core optical fiber of claim 15 , wherein each nested capillary has a wall thickness from 0.1 μm to 4.0 μm.