Abstract

We present fiber Bragg gratings (FBGs) fabricated using adaptive optics aberration compensation for the first time to the best of our knowledge. The FBGs are fabricated with a femtosecond laser by the point-by-point method using an air-based objective lens, removing the requirement for immersion oil or ferrules. We demonstrate a general phase correction strategy that can be used for accurate fabrication at any point in the fiber cross-section. We also demonstrate a beam-shaping approach that nullifies the aberration when focused inside a central fiber core. Both strategies give results which are in excellent agreement with coupled-mode theory. An extremely low wavelength polarization sensitivity of 4 pm is reported.

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References

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Albert, J.

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Ams, M.

Appelfelder, M.

Atkin, D. M.

Bennion, I.

K. Zhou, M. Dubov, C. Mou, L. Zhang, V. K. Mezentsev, and I. Bennion, IEEE Photon. Technol. Lett. 22, 1190 (2010).
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Beresna, M.

Bilodeau, F.

B. Malo, K. O. Hill, F. Bilodeau, D. C. Johnson, and J. Albert, Electron. Lett. 29, 1668 (1993).
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Birks, T. A.

Booth, M. J.

Canning, J.

Chen, K. P.

Chen, Y.

Cheng, Y.

Cheong, M. W. O.

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Dubov, M.

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Jewart, C. M.

Johnson, D. C.

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Jung, Y.

Kawachi, M.

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Zhou, K.

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Appl. Opt. (1)

Appl. Phys. Lett. (1)

K. O. Hill, B. Malo, F. Bilodeau, D. C. Johnson, and J. Albert, Appl. Phys. Lett. 62, 1035 (1993).
[Crossref]

Electron. Lett. (1)

B. Malo, K. O. Hill, F. Bilodeau, D. C. Johnson, and J. Albert, Electron. Lett. 29, 1668 (1993).
[Crossref]

IEEE Photon. Technol. Lett. (1)

K. Zhou, M. Dubov, C. Mou, L. Zhang, V. K. Mezentsev, and I. Bennion, IEEE Photon. Technol. Lett. 22, 1190 (2010).
[Crossref]

J. Lightwave Technol. (1)

T. Erdogan, J. Lightwave Technol. 15, 1277 (1997).
[Crossref]

J. Microsc. (1)

M. Schwertner, M. J. Booth, and T. Wilson, J. Microsc. 215, 271 (2004).
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Opt. Express (7)

Opt. Lett. (8)

Sensors (1)

S. J. Mihailov, Sensors 12, 1898 (2012).
[Crossref]

Supplementary Material (2)

NameDescription
» Data File 1       Underlying data for Figure 4.
» Data File 2       Underlying data for Figure 5.

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Figures (5)

Fig. 1.
Fig. 1. Diagrammatic illustration of the aberration incurred when focusing inside an optical fiber. (a) Ray paths of writing beam for axial plane (z-x) and radial plane (z-y) of optical fiber. Refraction at the fiber interface causes a focal splitting between components of rays propagating parallel and perpendicular to the fiber axis. (b) By considering a cross-section through the fiber at an angle ϕ to the fiber axis, it is possible to determine the pupil phase aberration that needs to be corrected to focus inside the fiber core, as shown in (c) for a typical SMF with a 0.5 NA air objective.
Fig. 2.
Fig. 2. Illumination of the objective lens pupil with a slit intensity distribution as shown in (a) reduces the dimensionality and can effectively remove the phase aberration. (b) The phase profile plotted along each of the slits indicated in (a) as well as the theoretical defocus. (c) Schematic of the focal intensity distribution in the fiber core with different illumination profiles of the objective lens.
Fig. 3.
Fig. 3. Microscope images of structures fabricated inside SMF. A series of 5 points, each fabricated by a single pulse at 5 μm spacing with (a) and without (b) aberration correction. The laser was incident along the z direction. FBGs fabricated with (c) and without (d) correction.
Fig. 4.
Fig. 4. Measured and theoretical reflection spectra for fabricated FBGs with 3 mm length, (ol-43-24-5993-i001 red) experimental measurement, (ol-43-24-5993-i002 blue) fit to coupled-mode theory, (a) using aberration correction (b) using beam-shaping, for coupling coefficent, κ and reflectivity R, (i) κ=1  cm1, R=8.5%, (ii) κ=2  cm1, R=28.8% and (iii) κ=3  cm1, R=51.3%. See Data File 1 for the underlying data.
Fig. 5.
Fig. 5. Measured polarization sensitivity of FBGs, fabricated with (a) the aberration correction technique and (b) the beam-shaping technique. The two lines represent the two extreme polarization states. See Data File 2 for the underlying data.

Equations (2)

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ψ=2πΔnRλ1ρ2NA2cos2ϕ,
ψ2πΔnRλ(1+ρ2NA24+ρ2NA2cos2ϕ4)=aZ00+bZ20+cZ22,