Abstract

We report on spectral characterization technique of self-organized dynamical distributed feedback (DDFB) in a self-sweeping Yb-doped fiber laser. The DDFB is originated from gain and refraction index gratings formed (recorded by standing waves) in the laser’s active medium and dynamically changes during frequency self-sweeping operation. Dynamic nature of the feedback requires fast characterization (reading) of corresponding reflection spectrum. The reading process can be separated from the recording one in time due to sufficiently long characteristic time of the dynamical gratings. The DDFB spectra are measured during off-state of the self-sweeping laser with a tunable probe radiation near the dynamical grating reflection maximum. The spectra reconstructed in a range of ~1 GHz from a sequence of shorter probe wave scans have narrow sharp peak with width of ~50 MHz and reflectivity of about 0.1%. A good agreement between theory and experimental results is demonstrated.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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    [Crossref]
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    [Crossref]
  3. S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
    [Crossref]
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    [Crossref]
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    [Crossref]
  7. T. Sjodin, H. Petek, and H. Dai, “Ultrafast carrier dynamics in silicon: a two-color transient reflection grating study on a (111) surface,” Phys. Rev. Lett. 81(25), 5664–5667 (1998).
    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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  20. P. Peterka, P. Koška, and J. Čtyroký, “Reflectivity of superimposed Bragg gratings induced by longitudinal mode instabilities in fiber lasers,” IEEE J. Sel. Top. Quantum Electron. 24(3), 1–8 (2018).
    [Crossref]
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    [Crossref] [PubMed]

2019 (1)

2018 (2)

A. Y. Tkachenko, A. D. Vladimirskaya, I. A. Lobach, and S. I. Kablukov, “Michelson mode selector for spectral range stabilization in a self-sweeping fiber laser,” Opt. Lett. 43(7), 1558–1561 (2018).
[Crossref] [PubMed]

P. Peterka, P. Koška, and J. Čtyroký, “Reflectivity of superimposed Bragg gratings induced by longitudinal mode instabilities in fiber lasers,” IEEE J. Sel. Top. Quantum Electron. 24(3), 1–8 (2018).
[Crossref]

2017 (2)

P. Gan, P. Xu, J. Wang, Z. Hu, and Y. Hu, “Study on time-frequency characteristics of transient response of the dynamic gratings in erbium-doped fiber,” Proc. SPIE 10462, 104623Z (2017).

I. A. Lobach, R. V. Drobyshev, A. A. Fotiadi, E. V. Podivilov, S. I. Kablukov, and S. A. Babin, “Open-cavity fiber laser with distributed feedback based on externally or self-induced dynamic gratings,” Opt. Lett. 42(20), 4207–4210 (2017).
[Crossref] [PubMed]

2016 (1)

S. R. Abdullina, A. A. Vlasov, I. A. Lobach, O. V. Belai, D. A. Shapiro, and S. A. Babin, “Single-frequency Yb-doped fiber laser with distributed feedback based on a random FBG,” Laser Phys. Lett. 13(7), 075104 (2016).
[Crossref]

2014 (1)

I. A. Lobach, S. I. Kablukov, E. V. Podivilov, and S. A. Babin, “Self-scanned single-frequency operation of a fiber laser driven by a self-induced phase grating,” Laser Phys. Lett. 11(4), 045103 (2014).
[Crossref]

2012 (1)

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

2011 (1)

A. V. Kir’yanov and N. N. Il’ichev, “Self-induced laser line sweeping in an ytterbium fiber laser with non-resonant Fabry-Perot cavity,” Laser Phys. Lett. 8(4), 305–312 (2011).
[Crossref]

2010 (1)

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

2009 (1)

2008 (2)

2007 (2)

S. Stepanov, A. Fotiadi, and P. Mégret, “Effective recording of dynamic phase gratings in Yb-doped fibers with saturable absorption at 1064nm,” Opt. Express 15(14), 8832–8837 (2007).
[Crossref] [PubMed]

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and M. A. Nikulin, “Single frequency single polarization DFB fiber laser,” Laser Phys. Lett. 4(6), 428–432 (2007).
[Crossref]

2001 (2)

P. Peterka and J. Kanka, “Erbium-doped twin-core fibre narrow-band filter for fibre lasers,” Opt. Quantum Electron. 33(4/5), 571–581 (2001).
[Crossref]

O. L. Antipov, D. V. Chausov, A. S. Kuzhelev, V. A. Vorob’ev, and A. P. Zinoviev, “250-W average-power Nd:YAG laser with self-adaptive cavity completed by dynamic refractive-index gratings,” IEEE J. Quantum Electron. 37(5), 716–724 (2001).
[Crossref]

1999 (2)

M. Løbel, P. M. Petersen, and P. M. Johansen, “Physical origin of laser frequency scanning induced by photorefractive phase-conjugate feedback,” J. Opt. Soc. Am. B 16(2), 219–227 (1999).
[Crossref]

S. A. Boothroyd, A. Skirtach, L. Chan, and A. Akmaloni, “Measurement of real-time gain gratings in erbium-doped fiber,” IEEE J. Quantum Electron. 35(1), 39–46 (1999).
[Crossref]

1998 (1)

T. Sjodin, H. Petek, and H. Dai, “Ultrafast carrier dynamics in silicon: a two-color transient reflection grating study on a (111) surface,” Phys. Rev. Lett. 81(25), 5664–5667 (1998).
[Crossref]

1973 (1)

V. V. Antsiferov, V. S. Pivtsov, V. D. Ugozhaev, and K. G. Folin, “Spike structure of the emission of solid-state lasers,” Sov. J. Quantum Electron. 3(3), 211–215 (1973).
[Crossref]

1972 (1)

H. Kogelnik and C. V. Shank, “Coupled‐wave theory of distributed feedback lasers,” J. Appl. Phys. 43(5), 2327–2335 (1972).
[Crossref]

Abdullina, S. R.

S. R. Abdullina, A. A. Vlasov, I. A. Lobach, O. V. Belai, D. A. Shapiro, and S. A. Babin, “Single-frequency Yb-doped fiber laser with distributed feedback based on a random FBG,” Laser Phys. Lett. 13(7), 075104 (2016).
[Crossref]

Akmaloni, A.

S. A. Boothroyd, A. Skirtach, L. Chan, and A. Akmaloni, “Measurement of real-time gain gratings in erbium-doped fiber,” IEEE J. Quantum Electron. 35(1), 39–46 (1999).
[Crossref]

Ania-Castañón, J. D.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Antipov, O. L.

O. L. Antipov, D. V. Chausov, A. S. Kuzhelev, V. A. Vorob’ev, and A. P. Zinoviev, “250-W average-power Nd:YAG laser with self-adaptive cavity completed by dynamic refractive-index gratings,” IEEE J. Quantum Electron. 37(5), 716–724 (2001).
[Crossref]

Antsiferov, V. V.

V. V. Antsiferov, V. S. Pivtsov, V. D. Ugozhaev, and K. G. Folin, “Spike structure of the emission of solid-state lasers,” Sov. J. Quantum Electron. 3(3), 211–215 (1973).
[Crossref]

Babin, S. A.

I. A. Lobach, R. V. Drobyshev, A. A. Fotiadi, E. V. Podivilov, S. I. Kablukov, and S. A. Babin, “Open-cavity fiber laser with distributed feedback based on externally or self-induced dynamic gratings,” Opt. Lett. 42(20), 4207–4210 (2017).
[Crossref] [PubMed]

S. R. Abdullina, A. A. Vlasov, I. A. Lobach, O. V. Belai, D. A. Shapiro, and S. A. Babin, “Single-frequency Yb-doped fiber laser with distributed feedback based on a random FBG,” Laser Phys. Lett. 13(7), 075104 (2016).
[Crossref]

I. A. Lobach, S. I. Kablukov, E. V. Podivilov, and S. A. Babin, “Self-scanned single-frequency operation of a fiber laser driven by a self-induced phase grating,” Laser Phys. Lett. 11(4), 045103 (2014).
[Crossref]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and M. A. Nikulin, “Single frequency single polarization DFB fiber laser,” Laser Phys. Lett. 4(6), 428–432 (2007).
[Crossref]

Belai, O. V.

S. R. Abdullina, A. A. Vlasov, I. A. Lobach, O. V. Belai, D. A. Shapiro, and S. A. Babin, “Single-frequency Yb-doped fiber laser with distributed feedback based on a random FBG,” Laser Phys. Lett. 13(7), 075104 (2016).
[Crossref]

Boothroyd, S. A.

S. A. Boothroyd, A. Skirtach, L. Chan, and A. Akmaloni, “Measurement of real-time gain gratings in erbium-doped fiber,” IEEE J. Quantum Electron. 35(1), 39–46 (1999).
[Crossref]

Chaikina, E. I.

Chan, L.

S. A. Boothroyd, A. Skirtach, L. Chan, and A. Akmaloni, “Measurement of real-time gain gratings in erbium-doped fiber,” IEEE J. Quantum Electron. 35(1), 39–46 (1999).
[Crossref]

Chausov, D. V.

O. L. Antipov, D. V. Chausov, A. S. Kuzhelev, V. A. Vorob’ev, and A. P. Zinoviev, “250-W average-power Nd:YAG laser with self-adaptive cavity completed by dynamic refractive-index gratings,” IEEE J. Quantum Electron. 37(5), 716–724 (2001).
[Crossref]

Churkin, D. V.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and M. A. Nikulin, “Single frequency single polarization DFB fiber laser,” Laser Phys. Lett. 4(6), 428–432 (2007).
[Crossref]

Ctyroký, J.

P. Peterka, P. Koška, and J. Čtyroký, “Reflectivity of superimposed Bragg gratings induced by longitudinal mode instabilities in fiber lasers,” IEEE J. Sel. Top. Quantum Electron. 24(3), 1–8 (2018).
[Crossref]

Dai, H.

T. Sjodin, H. Petek, and H. Dai, “Ultrafast carrier dynamics in silicon: a two-color transient reflection grating study on a (111) surface,” Phys. Rev. Lett. 81(25), 5664–5667 (1998).
[Crossref]

Drobyshev, R. V.

Dussardier, B.

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

Eichler, H. J.

H. J. Eichler, P. Günter, and D. W. Pohl, Laser-Induced Dynamic Gratings, (Springer, 2013).

El-Taher, A. E.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Fan, X.

Folin, K. G.

V. V. Antsiferov, V. S. Pivtsov, V. D. Ugozhaev, and K. G. Folin, “Spike structure of the emission of solid-state lasers,” Sov. J. Quantum Electron. 3(3), 211–215 (1973).
[Crossref]

Fotiadi, A.

Fotiadi, A. A.

Gan, P.

P. Gan, P. Xu, J. Wang, Z. Hu, and Y. Hu, “Study on time-frequency characteristics of transient response of the dynamic gratings in erbium-doped fiber,” Proc. SPIE 10462, 104623Z (2017).

Günter, P.

H. J. Eichler, P. Günter, and D. W. Pohl, Laser-Induced Dynamic Gratings, (Springer, 2013).

Harper, P.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

He, Z.

Honzatko, P.

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

Hotate, K.

Hu, Y.

P. Gan, P. Xu, J. Wang, Z. Hu, and Y. Hu, “Study on time-frequency characteristics of transient response of the dynamic gratings in erbium-doped fiber,” Proc. SPIE 10462, 104623Z (2017).

Hu, Z.

P. Gan, P. Xu, J. Wang, Z. Hu, and Y. Hu, “Study on time-frequency characteristics of transient response of the dynamic gratings in erbium-doped fiber,” Proc. SPIE 10462, 104623Z (2017).

Il’ichev, N. N.

A. V. Kir’yanov and N. N. Il’ichev, “Self-induced laser line sweeping in an ytterbium fiber laser with non-resonant Fabry-Perot cavity,” Laser Phys. Lett. 8(4), 305–312 (2011).
[Crossref]

Ismagulov, A. E.

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and M. A. Nikulin, “Single frequency single polarization DFB fiber laser,” Laser Phys. Lett. 4(6), 428–432 (2007).
[Crossref]

Johansen, P. M.

Kablukov, S. I.

E. K. Kashirina, I. A. Lobach, and S. I. Kablukov, “Single-frequency self-sweeping Nd-doped fiber laser,” Opt. Lett. 44(9), 2252–2255 (2019).
[Crossref] [PubMed]

A. Y. Tkachenko, A. D. Vladimirskaya, I. A. Lobach, and S. I. Kablukov, “Michelson mode selector for spectral range stabilization in a self-sweeping fiber laser,” Opt. Lett. 43(7), 1558–1561 (2018).
[Crossref] [PubMed]

I. A. Lobach, R. V. Drobyshev, A. A. Fotiadi, E. V. Podivilov, S. I. Kablukov, and S. A. Babin, “Open-cavity fiber laser with distributed feedback based on externally or self-induced dynamic gratings,” Opt. Lett. 42(20), 4207–4210 (2017).
[Crossref] [PubMed]

I. A. Lobach, S. I. Kablukov, E. V. Podivilov, and S. A. Babin, “Self-scanned single-frequency operation of a fiber laser driven by a self-induced phase grating,” Laser Phys. Lett. 11(4), 045103 (2014).
[Crossref]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and M. A. Nikulin, “Single frequency single polarization DFB fiber laser,” Laser Phys. Lett. 4(6), 428–432 (2007).
[Crossref]

Kanka, J.

P. Peterka and J. Kanka, “Erbium-doped twin-core fibre narrow-band filter for fibre lasers,” Opt. Quantum Electron. 33(4/5), 571–581 (2001).
[Crossref]

Karalekas, V.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Kashirina, E. K.

Kir’yanov, A. V.

A. V. Kir’yanov and N. N. Il’ichev, “Self-induced laser line sweeping in an ytterbium fiber laser with non-resonant Fabry-Perot cavity,” Laser Phys. Lett. 8(4), 305–312 (2011).
[Crossref]

Kogelnik, H.

H. Kogelnik and C. V. Shank, “Coupled‐wave theory of distributed feedback lasers,” J. Appl. Phys. 43(5), 2327–2335 (1972).
[Crossref]

Koška, P.

P. Peterka, P. Koška, and J. Čtyroký, “Reflectivity of superimposed Bragg gratings induced by longitudinal mode instabilities in fiber lasers,” IEEE J. Sel. Top. Quantum Electron. 24(3), 1–8 (2018).
[Crossref]

Kubecek, V.

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

Kuzhelev, A. S.

O. L. Antipov, D. V. Chausov, A. S. Kuzhelev, V. A. Vorob’ev, and A. P. Zinoviev, “250-W average-power Nd:YAG laser with self-adaptive cavity completed by dynamic refractive-index gratings,” IEEE J. Quantum Electron. 37(5), 716–724 (2001).
[Crossref]

Leskova, T. A.

Lizárraga, N.

Lobach, I. A.

Løbel, M.

Maria, J.

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

Mégret, P.

Méndez, E. R.

Navrátil, P.

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

Nikulin, M. A.

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and M. A. Nikulin, “Single frequency single polarization DFB fiber laser,” Laser Phys. Lett. 4(6), 428–432 (2007).
[Crossref]

Petek, H.

T. Sjodin, H. Petek, and H. Dai, “Ultrafast carrier dynamics in silicon: a two-color transient reflection grating study on a (111) surface,” Phys. Rev. Lett. 81(25), 5664–5667 (1998).
[Crossref]

Peterka, P.

P. Peterka, P. Koška, and J. Čtyroký, “Reflectivity of superimposed Bragg gratings induced by longitudinal mode instabilities in fiber lasers,” IEEE J. Sel. Top. Quantum Electron. 24(3), 1–8 (2018).
[Crossref]

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

P. Peterka and J. Kanka, “Erbium-doped twin-core fibre narrow-band filter for fibre lasers,” Opt. Quantum Electron. 33(4/5), 571–581 (2001).
[Crossref]

Petersen, P. M.

Pivtsov, V. S.

V. V. Antsiferov, V. S. Pivtsov, V. D. Ugozhaev, and K. G. Folin, “Spike structure of the emission of solid-state lasers,” Sov. J. Quantum Electron. 3(3), 211–215 (1973).
[Crossref]

Podivilov, E. V.

I. A. Lobach, R. V. Drobyshev, A. A. Fotiadi, E. V. Podivilov, S. I. Kablukov, and S. A. Babin, “Open-cavity fiber laser with distributed feedback based on externally or self-induced dynamic gratings,” Opt. Lett. 42(20), 4207–4210 (2017).
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I. A. Lobach, S. I. Kablukov, E. V. Podivilov, and S. A. Babin, “Self-scanned single-frequency operation of a fiber laser driven by a self-induced phase grating,” Laser Phys. Lett. 11(4), 045103 (2014).
[Crossref]

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Pohl, D. W.

H. J. Eichler, P. Günter, and D. W. Pohl, Laser-Induced Dynamic Gratings, (Springer, 2013).

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H. Kogelnik and C. V. Shank, “Coupled‐wave theory of distributed feedback lasers,” J. Appl. Phys. 43(5), 2327–2335 (1972).
[Crossref]

Shapiro, D. A.

S. R. Abdullina, A. A. Vlasov, I. A. Lobach, O. V. Belai, D. A. Shapiro, and S. A. Babin, “Single-frequency Yb-doped fiber laser with distributed feedback based on a random FBG,” Laser Phys. Lett. 13(7), 075104 (2016).
[Crossref]

Sjodin, T.

T. Sjodin, H. Petek, and H. Dai, “Ultrafast carrier dynamics in silicon: a two-color transient reflection grating study on a (111) surface,” Phys. Rev. Lett. 81(25), 5664–5667 (1998).
[Crossref]

Skirtach, A.

S. A. Boothroyd, A. Skirtach, L. Chan, and A. Akmaloni, “Measurement of real-time gain gratings in erbium-doped fiber,” IEEE J. Quantum Electron. 35(1), 39–46 (1999).
[Crossref]

Slavik, R.

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

Stepanov, S.

Tkachenko, A. Y.

Turitsyn, S. K.

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Ugozhaev, V. D.

V. V. Antsiferov, V. S. Pivtsov, V. D. Ugozhaev, and K. G. Folin, “Spike structure of the emission of solid-state lasers,” Sov. J. Quantum Electron. 3(3), 211–215 (1973).
[Crossref]

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Vlasov, A. A.

S. R. Abdullina, A. A. Vlasov, I. A. Lobach, O. V. Belai, D. A. Shapiro, and S. A. Babin, “Single-frequency Yb-doped fiber laser with distributed feedback based on a random FBG,” Laser Phys. Lett. 13(7), 075104 (2016).
[Crossref]

Vorob’ev, V. A.

O. L. Antipov, D. V. Chausov, A. S. Kuzhelev, V. A. Vorob’ev, and A. P. Zinoviev, “250-W average-power Nd:YAG laser with self-adaptive cavity completed by dynamic refractive-index gratings,” IEEE J. Quantum Electron. 37(5), 716–724 (2001).
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Wang, J.

P. Gan, P. Xu, J. Wang, Z. Hu, and Y. Hu, “Study on time-frequency characteristics of transient response of the dynamic gratings in erbium-doped fiber,” Proc. SPIE 10462, 104623Z (2017).

Xu, P.

P. Gan, P. Xu, J. Wang, Z. Hu, and Y. Hu, “Study on time-frequency characteristics of transient response of the dynamic gratings in erbium-doped fiber,” Proc. SPIE 10462, 104623Z (2017).

Zinoviev, A. P.

O. L. Antipov, D. V. Chausov, A. S. Kuzhelev, V. A. Vorob’ev, and A. P. Zinoviev, “250-W average-power Nd:YAG laser with self-adaptive cavity completed by dynamic refractive-index gratings,” IEEE J. Quantum Electron. 37(5), 716–724 (2001).
[Crossref]

IEEE J. Quantum Electron. (2)

O. L. Antipov, D. V. Chausov, A. S. Kuzhelev, V. A. Vorob’ev, and A. P. Zinoviev, “250-W average-power Nd:YAG laser with self-adaptive cavity completed by dynamic refractive-index gratings,” IEEE J. Quantum Electron. 37(5), 716–724 (2001).
[Crossref]

S. A. Boothroyd, A. Skirtach, L. Chan, and A. Akmaloni, “Measurement of real-time gain gratings in erbium-doped fiber,” IEEE J. Quantum Electron. 35(1), 39–46 (1999).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

P. Peterka, P. Koška, and J. Čtyroký, “Reflectivity of superimposed Bragg gratings induced by longitudinal mode instabilities in fiber lasers,” IEEE J. Sel. Top. Quantum Electron. 24(3), 1–8 (2018).
[Crossref]

J. Appl. Phys. (1)

H. Kogelnik and C. V. Shank, “Coupled‐wave theory of distributed feedback lasers,” J. Appl. Phys. 43(5), 2327–2335 (1972).
[Crossref]

J. Opt. Soc. Am. B (1)

J. Phys. D Appl. Phys. (1)

S. Stepanov, “Dynamic population gratings in rare-earth-doped optical fibres,” J. Phys. D Appl. Phys. 41(22), 224002 (2008).
[Crossref]

Laser Phys. Lett. (5)

A. V. Kir’yanov and N. N. Il’ichev, “Self-induced laser line sweeping in an ytterbium fiber laser with non-resonant Fabry-Perot cavity,” Laser Phys. Lett. 8(4), 305–312 (2011).
[Crossref]

P. Peterka, P. Navrátil, J. Maria, B. Dussardier, R. Slavik, P. Honzatko, and V. Kubeček, “Self-induced laser line sweeping in double-clad Yb-doped fiber-ring lasers,” Laser Phys. Lett. 9(6), 445–450 (2012).
[Crossref]

I. A. Lobach, S. I. Kablukov, E. V. Podivilov, and S. A. Babin, “Self-scanned single-frequency operation of a fiber laser driven by a self-induced phase grating,” Laser Phys. Lett. 11(4), 045103 (2014).
[Crossref]

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and M. A. Nikulin, “Single frequency single polarization DFB fiber laser,” Laser Phys. Lett. 4(6), 428–432 (2007).
[Crossref]

S. R. Abdullina, A. A. Vlasov, I. A. Lobach, O. V. Belai, D. A. Shapiro, and S. A. Babin, “Single-frequency Yb-doped fiber laser with distributed feedback based on a random FBG,” Laser Phys. Lett. 13(7), 075104 (2016).
[Crossref]

Nat. Photonics (1)

S. K. Turitsyn, S. A. Babin, A. E. El-Taher, P. Harper, D. V. Churkin, S. I. Kablukov, J. D. Ania-Castañón, V. Karalekas, and E. V. Podivilov, “Random distributed feedback fibre laser,” Nat. Photonics 4(4), 231–235 (2010).
[Crossref]

Opt. Express (2)

Opt. Lett. (4)

Opt. Quantum Electron. (1)

P. Peterka and J. Kanka, “Erbium-doped twin-core fibre narrow-band filter for fibre lasers,” Opt. Quantum Electron. 33(4/5), 571–581 (2001).
[Crossref]

Phys. Rev. Lett. (1)

T. Sjodin, H. Petek, and H. Dai, “Ultrafast carrier dynamics in silicon: a two-color transient reflection grating study on a (111) surface,” Phys. Rev. Lett. 81(25), 5664–5667 (1998).
[Crossref]

Proc. SPIE (1)

P. Gan, P. Xu, J. Wang, Z. Hu, and Y. Hu, “Study on time-frequency characteristics of transient response of the dynamic gratings in erbium-doped fiber,” Proc. SPIE 10462, 104623Z (2017).

Sov. J. Quantum Electron. (1)

V. V. Antsiferov, V. S. Pivtsov, V. D. Ugozhaev, and K. G. Folin, “Spike structure of the emission of solid-state lasers,” Sov. J. Quantum Electron. 3(3), 211–215 (1973).
[Crossref]

Other (1)

H. J. Eichler, P. Günter, and D. W. Pohl, Laser-Induced Dynamic Gratings, (Springer, 2013).

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Figures (5)

Fig. 1
Fig. 1 A scheme for forming (black frame) and characterization (blue frame) of DDFB in doped fiber.
Fig. 2
Fig. 2 (a) The typical reflected signal for resonance (red line) and non-resonance (black line) cases. (b) Normalized reflected signal. Inset: the zoom of Fig. 2(a).
Fig. 3
Fig. 3 The schematic description for reconstruction of broadband reflection spectrum using a series of narrow-band spectra. (a) The temporal dynamics of reflection spectrum during wavelength sweeping. (b) The measured series of reflected spectra with different central wavelengths (c) The reconstructed broad-band reflection spectrum.
Fig. 4
Fig. 4 (a) The experimental series of three normalized reflected spectra with different central wavelengths. (b) The experimental reconstructed broad-band reflection spectrum.
Fig. 5
Fig. 5 The reflection spectrum for the system consisting of DDFB and cleaved output end for different output passive fiber lengths shown in legends of figures (a)-(d): points are experimental results; red lines are results of theoretical approximation.

Equations (10)

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d a + dz =( g 2 +i k p ) a + ,
d a dz =( g 2 +i k p ) a +i δ n ˜ n k s cos( 2 k s ( zLl ) ) a + ,
a ( 0 )= a + ( 0 )[ 0 L iδ n ˜ k s n cos( 2 k s z ) e gz+i2 k p z dz+ R 1 e gL+i φ m ] e i2 k p ( L+l ) ,
0 L cos( 2 k s z ) e gz+i2 k p z dz e gLi2Δkl 2 ( 1 e ( g+2iΔk )L ) g+i2Δk
R r ( Δk )= e 2gL | i πδ n ˜ L λ ( 1 e (g+i2Δk)L ) ( g+i2Δk )L e i2Δkl + R 1 | 2 .
S( Δk,t ) | 1+iδ n 0 e iα π λ R 1 e i2Δkl ( g 0 e t/ τ 0 +i2Δk ) e t/ τ 0 | 2 .
S( Δk,0 ) | 1+ R DDFB R 1 g 0 g 0 +i2Δk e i2Δkl+iα+iπ/2 | 2 = =1+ R DDFB R 1 g 0 2 g 0 2 +4Δ k 2 +2 R DDFB R 1 g 0 g 0 2 +4Δ k 2 cos[ Φ( Δk ) ],
Φ( Δk )= π 2 +α2Δklarctan( 2Δk g 0 )
S max ( Δk,0 ) ( 1+ R DDFB R 1 g 0 2 g 0 2 +4Δ k 2 ) 2 ,
Δ k FWHM π/2 l+ l g .

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