We have designed and made an optical fibre that guides an approximate Airy
pattern as one of its guided modes. The fibre's attenuation was 11.0 dB/km at
1550 nm wavelength, the match between the fibre's mode and the ideal infinite
Airy pattern was 93.7%, and the far field resembled a top-hat beam. The
guidance mechanism has strong similarities to photonic bandgap guidance.Comment: 11 page

Birks, T. A.

Gris-Sánchez, I.

Van Ras, D.

English

arXiv

data used in the preparation of the paperThe methodology for this study is described in the paper

Birks, Tim

Gris Sanchez, Itandehui

van Ras, Dennis

University of Bath Research Data Archive

Data underlying the results presented in The Airy fibre: an optical fibre that guides light diffracted by a circular aperture by I. Gris-Sánchez et al as stored in the repository at http://doi.org/10.15125/BATH-00173  These data files were prepared on a PC running Microsoft Windows 8.1.  t1_design_constants.txt (list of (N, i, PN,i, CN,i, AN,i) in text form) constants used to define the mode profile in Eqs. 7 and 8 for N from 0 to 8, presented in Table 1 for N  3  02a_exact_profile.txt (list of (R, (R)) in text form) normalised index profile calculated using Eq. 3 and the exact Airy pattern of Eq. 5, presented in Fig. 2(a)  02b_approx_profile.txt (list of (R, (R)) in text form) normalised index profile calculated using Eq. 3 and the approximate Airy mode of Eq. 8, presented in Figs. 2(b) and 5(b)  03a_basis functions.txt (list of (R, f1,1(R), f1,2(R), f1,3(R), f1,4(R)) in text form) basis functions fN,i(R) defined by Eq. 7, presented in Fig. 3(a)  03b_airy_mode.txt (list of (R, (R)) in text form) Airy mode from Eq. 8, presented as the dashed black curve in Fig. 3(b)  04a_truncated_cladding_index.txt (list of (Rc, c) in text form) Normalised index c of uniform cladding required if the profile is truncated at Rc, presented in Fig. 4(a)  04b_truncated_modes.txt (list of (R, (R), (R), (R), (R)) in text form) Airy modes untruncated and truncated at Rc = 3.05, 3.2 and 3.35 respectively, presented in Fig. 4(b)  05a_truncated_mode.txt (list of (R, (R)) in text form) Airy mode truncated at Rc = 3.2, presented in Fig. 5(a)  05b_truncated_profile.txt (list of (R, (R)) in text form) normalised index profile for the truncated Airy mode, presented in Fig. 5(b) and Fig. 6  06_other_modes.txt (list of (R, 0,1(R), 1,1(R), 2,1(R), 0,2(R), 0,3(R), 0,4(R)) in text form) radial distributions of LPl,m modes l,m of Airy fibre, all but LP0,3 presented in Fig. 6 with sin(l) angular variation  07a_other_wavelengths.txt (list of (R, (R), (R), (R)) in text form) Airy modes at wavelengths /0 = 0.8, 1.0 and 1.2 (left to right along each data row), presented in Fig. 7(a)  07ai_overlap.txt (list of (/0, ) in text form) overlap of Airy mode with Airy pattern versus wavelength, presented in Fig. 7(a) inset  07b_dispersions.txt (list of (0/, then 12 values of modal v) in text form) normalised effective indices  versus frequency for the first 12 l = 0 modes, presented in Fig. 7(b)  07bi_anticrossing.txt (list of (R, 1(R), 2(R), 3(R)) in text form) modes of the Airy fibre: LP04 at 0/, = 1.3, LP04 at 0/, = 1.9 and LP05 at 0/, = 1.9 (left to right along each data row), presented in Fig. 7(b) insets  08_approx_profile_adjusted.txt (list of (r/a, n) in text form) index profile (relative to undoped silica) of the final design adjusted as described in section 3A, presented as the red curve in Fig 8(a)  (the measured refractive index profile data in Fig. 8 are proprietary to Draka Comteq Fiber BV)  09a_micrograph.JPG (jpg image) micrograph image of endface of Airy fibre, presented as Fig. 9(a)   09b_micrograph_profile.txt (list of (pixel intensity values) in text form) pixel values across the cross-section of a micrograph of the fibre endface, presented as Fig. 9(b)  10a_airy_saturated.png (png image) near-field image of light in the Airy mode, presented as Fig. 10(a)   10a_airy_unsaturated.png (png image) near-field image of light in the Airy mode with higher ND filtering, presented as Fig. 10(a) inset  10a_airy_dark.png (png image) dark image, which was subtracted from Airy mode images to produce Fig. 10(a) and hence the data for Fig. 10(b), and to identify stuck pixels  10b_airy_mode_field.xlsx (2D array of pixel values in an Excel file) field distribution in the Airy mode calculated from the near-field images, with the saturated image data scaled down to compensate for differential ND filtering, presented as Fig. 10(b)   11_other_left.tif (tiff image) near-field image of light in other modes, presented as left panel of Fig. 11  11_other_middle.tif (tiff image) near-field image of light in other modes, presented as middle panel of Fig. 11  11_other_right.tif (tiff image) near-field image of light in other modes, presented as right panel of Fig. 11  12a_far_field_ideal.txt (list of (k, (k)) in text form) radial Fourier transform for the ideal untruncated Airy pattern, presented as Fig. 12(b)  12b_far_field_truncated.txt (list of (k, (k)) in text form) radial Fourier transform for the Airy pattern truncated to the first three rings, presented as Fig. 12(b)  12c_far_field_expt.png (png image) far field image of light emerging from Airy fibre, presented as Fig. 12(c) 

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The Airy fibre: an optical fibre that guides light diffracted by a circular aperture

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