Abstract

We investigate numerically and experimentally an all-fiber, bandwidth tunable spectral filter comprising birefringent fibers. The spectral bandwidth tunability of the filter is based on the compensation of birefringence in polarization maintaining fibers. This unique filter allows mode-locked operation of a fiber oscillator with the ability to generate distinct laser modes with different output spectral shapes and pulse evolutions.

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  1. A. Chong, W. H. Renninger, and F. W. Wise, J. Opt. Soc. Am. B 25, 140 (2008).
    [Crossref]
  2. W. Renninger, A. Chong, and F. Wise, Phys. Rev. A 77, 023814 (2008).
    [Crossref]
  3. O. Prochnow, A. Ruehl, M. Schultz, D. Wandt, and D. Kracht, Opt. Express 15, 6889 (2007).
    [Crossref]
  4. C. K. Nielsen and S. R. Keiding, Opt. Lett. 32, 1474 (2007).
    [Crossref]
  5. K. Kieu and F. Wise, Opt. Express 16, 11453 (2008).
    [Crossref]
  6. M. Schultz, H. Karow, O. Prochnow, D. Wandt, U. Morgner, and D. Kracht, Opt. Express 16, 19562 (2008).
    [Crossref]
  7. J. Fekete, A. Cserteg, and R. Szipöcs, Laser Phys. Lett. 6, 49 (2008).
    [Crossref]
  8. K. Özgören and F. Ö. İlday, Opt. Lett. 35, 1296 (2010).
    [Crossref]
  9. B. Lyot, C. R. Acad. Sci 197, 1593 (1933).
  10. Y. Fedotov, S. Kobtsev, R. Arif, A. Rozhin, C. Mou, and S. Turitsyn, Opt. express 20, 17797 (2012).
    [Crossref]
  11. Y. S. Fedotov, S. M. Kobtsev, A. G. Rozhin, S. K. Turitsyn, and C. Mou, Advanced Photonics Congress (Optical Society of America, 2012), paper JM5A.25.
  12. Z. Wang, L. Zhan, X. Fang, and H. Luo, J. Opt. Soc. Am. B 34, 2325 (2017).
    [Crossref]
  13. J. Szczepanek, T. M. Kardaś, C. Radzewicz, and Y. Stepanenko, Opt. Express 26, 13590 (2018).
    [Crossref]
  14. J. Berthold and L. Thompson, Proc. SPIE 478, 63 (1984).
    [Crossref]
  15. D.-H. Kim and J. U. Kang, Opt. Eng. 46, 075003 (2007).
    [Crossref]
  16. N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
    [Crossref]
  17. P. Ma, N. Song, J. Jin, J. Song, and X. Xu, Opt. Laser Technol. 44, 1829 (2012).
    [Crossref]
  18. W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 82, 021805 (2010).
    [Crossref]

2018 (1)

2017 (1)

2012 (2)

Y. Fedotov, S. Kobtsev, R. Arif, A. Rozhin, C. Mou, and S. Turitsyn, Opt. express 20, 17797 (2012).
[Crossref]

P. Ma, N. Song, J. Jin, J. Song, and X. Xu, Opt. Laser Technol. 44, 1829 (2012).
[Crossref]

2010 (2)

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 82, 021805 (2010).
[Crossref]

K. Özgören and F. Ö. İlday, Opt. Lett. 35, 1296 (2010).
[Crossref]

2008 (6)

K. Kieu and F. Wise, Opt. Express 16, 11453 (2008).
[Crossref]

M. Schultz, H. Karow, O. Prochnow, D. Wandt, U. Morgner, and D. Kracht, Opt. Express 16, 19562 (2008).
[Crossref]

J. Fekete, A. Cserteg, and R. Szipöcs, Laser Phys. Lett. 6, 49 (2008).
[Crossref]

A. Chong, W. H. Renninger, and F. W. Wise, J. Opt. Soc. Am. B 25, 140 (2008).
[Crossref]

W. Renninger, A. Chong, and F. Wise, Phys. Rev. A 77, 023814 (2008).
[Crossref]

N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
[Crossref]

2007 (3)

1984 (1)

J. Berthold and L. Thompson, Proc. SPIE 478, 63 (1984).
[Crossref]

1933 (1)

B. Lyot, C. R. Acad. Sci 197, 1593 (1933).

Arif, R.

Berthold, J.

J. Berthold and L. Thompson, Proc. SPIE 478, 63 (1984).
[Crossref]

Boudrioua, A.

N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
[Crossref]

Boudrioua, N.

N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
[Crossref]

Chong, A.

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 82, 021805 (2010).
[Crossref]

A. Chong, W. H. Renninger, and F. W. Wise, J. Opt. Soc. Am. B 25, 140 (2008).
[Crossref]

W. Renninger, A. Chong, and F. Wise, Phys. Rev. A 77, 023814 (2008).
[Crossref]

Cserteg, A.

J. Fekete, A. Cserteg, and R. Szipöcs, Laser Phys. Lett. 6, 49 (2008).
[Crossref]

Dandache, A.

N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
[Crossref]

Fang, X.

Fedotov, Y.

Fedotov, Y. S.

Y. S. Fedotov, S. M. Kobtsev, A. G. Rozhin, S. K. Turitsyn, and C. Mou, Advanced Photonics Congress (Optical Society of America, 2012), paper JM5A.25.

Fekete, J.

J. Fekete, A. Cserteg, and R. Szipöcs, Laser Phys. Lett. 6, 49 (2008).
[Crossref]

Ilday, F. Ö.

Jin, J.

P. Ma, N. Song, J. Jin, J. Song, and X. Xu, Opt. Laser Technol. 44, 1829 (2012).
[Crossref]

Kang, J. U.

D.-H. Kim and J. U. Kang, Opt. Eng. 46, 075003 (2007).
[Crossref]

Kardas, T. M.

Karow, H.

Keiding, S. R.

Kieu, K.

Kim, D.-H.

D.-H. Kim and J. U. Kang, Opt. Eng. 46, 075003 (2007).
[Crossref]

Kobtsev, S.

Kobtsev, S. M.

Y. S. Fedotov, S. M. Kobtsev, A. G. Rozhin, S. K. Turitsyn, and C. Mou, Advanced Photonics Congress (Optical Society of America, 2012), paper JM5A.25.

Kracht, D.

Kremer, R.

N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
[Crossref]

Losson, E.

N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
[Crossref]

Luo, H.

Lyot, B.

B. Lyot, C. R. Acad. Sci 197, 1593 (1933).

Ma, P.

P. Ma, N. Song, J. Jin, J. Song, and X. Xu, Opt. Laser Technol. 44, 1829 (2012).
[Crossref]

Monteiro, F.

N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
[Crossref]

Morgner, U.

Mou, C.

Y. Fedotov, S. Kobtsev, R. Arif, A. Rozhin, C. Mou, and S. Turitsyn, Opt. express 20, 17797 (2012).
[Crossref]

Y. S. Fedotov, S. M. Kobtsev, A. G. Rozhin, S. K. Turitsyn, and C. Mou, Advanced Photonics Congress (Optical Society of America, 2012), paper JM5A.25.

Nielsen, C. K.

Özgören, K.

Prochnow, O.

Radzewicz, C.

Renninger, W.

W. Renninger, A. Chong, and F. Wise, Phys. Rev. A 77, 023814 (2008).
[Crossref]

Renninger, W. H.

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 82, 021805 (2010).
[Crossref]

A. Chong, W. H. Renninger, and F. W. Wise, J. Opt. Soc. Am. B 25, 140 (2008).
[Crossref]

Rozhin, A.

Rozhin, A. G.

Y. S. Fedotov, S. M. Kobtsev, A. G. Rozhin, S. K. Turitsyn, and C. Mou, Advanced Photonics Congress (Optical Society of America, 2012), paper JM5A.25.

Ruehl, A.

Schultz, M.

Song, J.

P. Ma, N. Song, J. Jin, J. Song, and X. Xu, Opt. Laser Technol. 44, 1829 (2012).
[Crossref]

Song, N.

P. Ma, N. Song, J. Jin, J. Song, and X. Xu, Opt. Laser Technol. 44, 1829 (2012).
[Crossref]

Stepanenko, Y.

Szczepanek, J.

Szipöcs, R.

J. Fekete, A. Cserteg, and R. Szipöcs, Laser Phys. Lett. 6, 49 (2008).
[Crossref]

Thompson, L.

J. Berthold and L. Thompson, Proc. SPIE 478, 63 (1984).
[Crossref]

Turitsyn, S.

Turitsyn, S. K.

Y. S. Fedotov, S. M. Kobtsev, A. G. Rozhin, S. K. Turitsyn, and C. Mou, Advanced Photonics Congress (Optical Society of America, 2012), paper JM5A.25.

Wandt, D.

Wang, Z.

Wise, F.

W. Renninger, A. Chong, and F. Wise, Phys. Rev. A 77, 023814 (2008).
[Crossref]

K. Kieu and F. Wise, Opt. Express 16, 11453 (2008).
[Crossref]

Wise, F. W.

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 82, 021805 (2010).
[Crossref]

A. Chong, W. H. Renninger, and F. W. Wise, J. Opt. Soc. Am. B 25, 140 (2008).
[Crossref]

Xu, X.

P. Ma, N. Song, J. Jin, J. Song, and X. Xu, Opt. Laser Technol. 44, 1829 (2012).
[Crossref]

Zhan, L.

C. R. Acad. Sci (1)

B. Lyot, C. R. Acad. Sci 197, 1593 (1933).

J. Opt. Soc. Am. B (2)

Laser Phys. Lett. (1)

J. Fekete, A. Cserteg, and R. Szipöcs, Laser Phys. Lett. 6, 49 (2008).
[Crossref]

Opt. Commun. (1)

N. Boudrioua, A. Boudrioua, F. Monteiro, E. Losson, A. Dandache, and R. Kremer, Opt. Commun. 281, 4870 (2008).
[Crossref]

Opt. Eng. (1)

D.-H. Kim and J. U. Kang, Opt. Eng. 46, 075003 (2007).
[Crossref]

Opt. Express (4)

Opt. Laser Technol. (1)

P. Ma, N. Song, J. Jin, J. Song, and X. Xu, Opt. Laser Technol. 44, 1829 (2012).
[Crossref]

Opt. Lett. (2)

Phys. Rev. A (2)

W. Renninger, A. Chong, and F. Wise, Phys. Rev. A 77, 023814 (2008).
[Crossref]

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 82, 021805 (2010).
[Crossref]

Proc. SPIE (1)

J. Berthold and L. Thompson, Proc. SPIE 478, 63 (1984).
[Crossref]

Other (1)

Y. S. Fedotov, S. M. Kobtsev, A. G. Rozhin, S. K. Turitsyn, and C. Mou, Advanced Photonics Congress (Optical Society of America, 2012), paper JM5A.25.

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Figures (8)

Fig. 1.
Fig. 1. Schematic of fiber-based spectral filter. P, polarizer; PC, polarization controller; PM, polarization maintaining fiber; SMF, single-mode fiber.
Fig. 2.
Fig. 2. Calculated transmission spectra of the filter for different angles of rotation of polarization inside the SMF, namely, $\Theta = 45.8^\circ$ (red curve) and $\Theta = 10^\circ$ (blue curve). The values of the assumed birefringence are $\Delta {n_1} = \Delta {n_3} = 3.6 \times {10^{- 4}}$ and $\Delta {n_2} = 3.8 \times {10^{- 6}}$ for the PM fibers and the SMF, respectively.
Fig. 3.
Fig. 3. Calculated transmission spectra of (a) a wideband filter and (b) a narrowband filter as a function of temperature. Black, red, and blue curves denote the transmission spectra at room temperature, 1°C, and 2°C rise in temperature, respectively.
Fig. 4.
Fig. 4. Calculated transmission spectra of the PM1-SMF1-PM2-SMF2-PM3 filter.
Fig. 5.
Fig. 5. Experimental setup of the fiber laser.
Fig. 6.
Fig. 6. Experimental (a) ASE. (b) Transmission spectra of wideband (red curve) and narrowband (blue curve) filters at different settings of PC1. (c) Theoretical (dashed line) and experimental (solid line) transmittance of wideband filter. (d) Theoretical (dashed line) and experimental (solid line) transmittance of narrowband filter.
Fig. 7.
Fig. 7. Experimental (a) spectrum at the PBS at 350 mW input pump power. (b) Spectrum at the 20% port. (c) Radio frequency spectrum; ${f_R}$, repetition frequency; RBW, resolution bandwidth. (d) Interferometric AC.
Fig. 8.
Fig. 8. Experimental (a) spectrum at the PBS at 220 mW input pump power. (b) Spectrum at the 20% port. (c) AC for the spectrum in (a). (d) RF spectrum showing sidebands as evidence of multi-pulsing. (e) Spectrum at the PBS at 350 mW input pump power. (f) AC for the spectrum in (e).

Equations (2)

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Δ λ λ 2 2 L Δ n ,
T = ( cos 2 θ 2 1 2 sin 2 θ 2 1 2 sin 2 θ 2 sin 2 θ 2 ) ( e i Δ ϕ 3 2 0 0 e i Δ ϕ 3 2 ) × R ( Θ ) ( e i Δ ϕ 2 2 0 0 e i Δ ϕ 2 2 ) R ( Θ ) × ( e i Δ ϕ 1 2 0 0 e i Δ ϕ 1 2 ) ( cos 2 θ 1 1 2 sin 2 θ 1 1 2 sin 2 θ 1 sin 2 θ 1 ) ,

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