Abstract

The nonlinear dynamics of a streamer discharge in semiconductors have been analyzed with allowance for the processes of impact, tunnel, and photoelectric ionization and the processes of radiative spontaneous and stimulated recombination. It is shown that under these conditions various self-oscillations can arise, and spatially inhomogeneous dissipative structures can be formed as a result of discharge self-organization. The dynamic regimes considered provide a means for the formation of an indestructible streamer that has a space–time structure and propagates with a high velocity comparable with the phase velocity of light.

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  1. N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
    [CrossRef]
  2. V. P. Gribkovskii, A. A. Gladyshchuk, V. V. Zubritskii, V. V. Parashchuk, and G. P. Yablonskii, "Streamer discharges in semiconductors," Phys. Status Solidi A 77, 765-774 (1983).
    [CrossRef]
  3. V. P. Gribkovskii, "Streamers in semiconductors as the self-organized cooperative processes," Dokl. Akad. Nauk BSSR 29, 896-898 (1985).
  4. V. P. Gribkovskii, "Streamer emission in semiconductors," Zh. Prikl. Spektrosk. 40, 709-718 (1984).
  5. V. V. Parashchuk, V. P. Gribkovskii, K. I. Rusakov, and A. N. Prokopenya, "Radiative processes at discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 43-47 (1997).
  6. V. P. Gribkovskii, A. N. Prokopenya, K. I. Rusakov, and V. V. Parashchuk, "Interaction of an electric field--light and directivity of streamer discharges," Zh. Prikl. Spektrosk. 60, 362-368 (1994).
  7. V. V. Parashchuk and V. P. Gribkovskii, "On light self-channelling at streamer discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 44-47 (1997).
  8. V. V. Vladimirov, V. N. Gorshkov, O. V. Konstantinov, and N. I. Kuskova, "Excitation of the high-frequency auto-oscillations in semiconductor streamer lasers," Dokl. Akad. Nauk USSR 305, 586-588 (1989).
  9. V. V. Parashchuk and V. P. Gribkovskii, "Auto-oscillations of electron-photon system in conditions of streamer discharge," Dokl. Akad. Nauk Belarusi 45, 56-59 (2001).
  10. A. Z. Obidin, A. N. Pechenov, Yu. M. Popov, and V. A. Frolov, "Research of light generation in a direction of streamer channel in semiconductors A2B6," Quantum Electron. 10, 1165-1170 (1983).

2001 (1)

V. V. Parashchuk and V. P. Gribkovskii, "Auto-oscillations of electron-photon system in conditions of streamer discharge," Dokl. Akad. Nauk Belarusi 45, 56-59 (2001).

1997 (2)

V. V. Parashchuk, V. P. Gribkovskii, K. I. Rusakov, and A. N. Prokopenya, "Radiative processes at discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 43-47 (1997).

V. V. Parashchuk and V. P. Gribkovskii, "On light self-channelling at streamer discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 44-47 (1997).

1994 (1)

V. P. Gribkovskii, A. N. Prokopenya, K. I. Rusakov, and V. V. Parashchuk, "Interaction of an electric field--light and directivity of streamer discharges," Zh. Prikl. Spektrosk. 60, 362-368 (1994).

1989 (1)

V. V. Vladimirov, V. N. Gorshkov, O. V. Konstantinov, and N. I. Kuskova, "Excitation of the high-frequency auto-oscillations in semiconductor streamer lasers," Dokl. Akad. Nauk USSR 305, 586-588 (1989).

1985 (1)

V. P. Gribkovskii, "Streamers in semiconductors as the self-organized cooperative processes," Dokl. Akad. Nauk BSSR 29, 896-898 (1985).

1984 (1)

V. P. Gribkovskii, "Streamer emission in semiconductors," Zh. Prikl. Spektrosk. 40, 709-718 (1984).

1983 (2)

V. P. Gribkovskii, A. A. Gladyshchuk, V. V. Zubritskii, V. V. Parashchuk, and G. P. Yablonskii, "Streamer discharges in semiconductors," Phys. Status Solidi A 77, 765-774 (1983).
[CrossRef]

A. Z. Obidin, A. N. Pechenov, Yu. M. Popov, and V. A. Frolov, "Research of light generation in a direction of streamer channel in semiconductors A2B6," Quantum Electron. 10, 1165-1170 (1983).

1977 (1)

N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
[CrossRef]

Basov, N. G.

N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
[CrossRef]

Frolov, V. A.

A. Z. Obidin, A. N. Pechenov, Yu. M. Popov, and V. A. Frolov, "Research of light generation in a direction of streamer channel in semiconductors A2B6," Quantum Electron. 10, 1165-1170 (1983).

Gladyshchuk, A. A.

V. P. Gribkovskii, A. A. Gladyshchuk, V. V. Zubritskii, V. V. Parashchuk, and G. P. Yablonskii, "Streamer discharges in semiconductors," Phys. Status Solidi A 77, 765-774 (1983).
[CrossRef]

Gorshkov, V. N.

V. V. Vladimirov, V. N. Gorshkov, O. V. Konstantinov, and N. I. Kuskova, "Excitation of the high-frequency auto-oscillations in semiconductor streamer lasers," Dokl. Akad. Nauk USSR 305, 586-588 (1989).

Gribkovskii, V. P.

V. V. Parashchuk and V. P. Gribkovskii, "Auto-oscillations of electron-photon system in conditions of streamer discharge," Dokl. Akad. Nauk Belarusi 45, 56-59 (2001).

V. V. Parashchuk and V. P. Gribkovskii, "On light self-channelling at streamer discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 44-47 (1997).

V. V. Parashchuk, V. P. Gribkovskii, K. I. Rusakov, and A. N. Prokopenya, "Radiative processes at discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 43-47 (1997).

V. P. Gribkovskii, A. N. Prokopenya, K. I. Rusakov, and V. V. Parashchuk, "Interaction of an electric field--light and directivity of streamer discharges," Zh. Prikl. Spektrosk. 60, 362-368 (1994).

V. P. Gribkovskii, "Streamers in semiconductors as the self-organized cooperative processes," Dokl. Akad. Nauk BSSR 29, 896-898 (1985).

V. P. Gribkovskii, "Streamer emission in semiconductors," Zh. Prikl. Spektrosk. 40, 709-718 (1984).

V. P. Gribkovskii, A. A. Gladyshchuk, V. V. Zubritskii, V. V. Parashchuk, and G. P. Yablonskii, "Streamer discharges in semiconductors," Phys. Status Solidi A 77, 765-774 (1983).
[CrossRef]

Konstantinov, O. V.

V. V. Vladimirov, V. N. Gorshkov, O. V. Konstantinov, and N. I. Kuskova, "Excitation of the high-frequency auto-oscillations in semiconductor streamer lasers," Dokl. Akad. Nauk USSR 305, 586-588 (1989).

Kuskova, N. I.

V. V. Vladimirov, V. N. Gorshkov, O. V. Konstantinov, and N. I. Kuskova, "Excitation of the high-frequency auto-oscillations in semiconductor streamer lasers," Dokl. Akad. Nauk USSR 305, 586-588 (1989).

Molchanov, A. G.

N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
[CrossRef]

Nasibov, A. S.

N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
[CrossRef]

Obidin, A. Z.

A. Z. Obidin, A. N. Pechenov, Yu. M. Popov, and V. A. Frolov, "Research of light generation in a direction of streamer channel in semiconductors A2B6," Quantum Electron. 10, 1165-1170 (1983).

N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
[CrossRef]

Parashchuk, V. V.

V. V. Parashchuk and V. P. Gribkovskii, "Auto-oscillations of electron-photon system in conditions of streamer discharge," Dokl. Akad. Nauk Belarusi 45, 56-59 (2001).

V. V. Parashchuk and V. P. Gribkovskii, "On light self-channelling at streamer discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 44-47 (1997).

V. V. Parashchuk, V. P. Gribkovskii, K. I. Rusakov, and A. N. Prokopenya, "Radiative processes at discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 43-47 (1997).

V. P. Gribkovskii, A. N. Prokopenya, K. I. Rusakov, and V. V. Parashchuk, "Interaction of an electric field--light and directivity of streamer discharges," Zh. Prikl. Spektrosk. 60, 362-368 (1994).

V. P. Gribkovskii, A. A. Gladyshchuk, V. V. Zubritskii, V. V. Parashchuk, and G. P. Yablonskii, "Streamer discharges in semiconductors," Phys. Status Solidi A 77, 765-774 (1983).
[CrossRef]

Pechenov, A. N.

A. Z. Obidin, A. N. Pechenov, Yu. M. Popov, and V. A. Frolov, "Research of light generation in a direction of streamer channel in semiconductors A2B6," Quantum Electron. 10, 1165-1170 (1983).

N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
[CrossRef]

Popov, Yu. M.

A. Z. Obidin, A. N. Pechenov, Yu. M. Popov, and V. A. Frolov, "Research of light generation in a direction of streamer channel in semiconductors A2B6," Quantum Electron. 10, 1165-1170 (1983).

N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
[CrossRef]

Prokopenya, A. N.

V. V. Parashchuk, V. P. Gribkovskii, K. I. Rusakov, and A. N. Prokopenya, "Radiative processes at discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 43-47 (1997).

V. P. Gribkovskii, A. N. Prokopenya, K. I. Rusakov, and V. V. Parashchuk, "Interaction of an electric field--light and directivity of streamer discharges," Zh. Prikl. Spektrosk. 60, 362-368 (1994).

Rusakov, K. I.

V. V. Parashchuk, V. P. Gribkovskii, K. I. Rusakov, and A. N. Prokopenya, "Radiative processes at discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 43-47 (1997).

V. P. Gribkovskii, A. N. Prokopenya, K. I. Rusakov, and V. V. Parashchuk, "Interaction of an electric field--light and directivity of streamer discharges," Zh. Prikl. Spektrosk. 60, 362-368 (1994).

Vladimirov, V. V.

V. V. Vladimirov, V. N. Gorshkov, O. V. Konstantinov, and N. I. Kuskova, "Excitation of the high-frequency auto-oscillations in semiconductor streamer lasers," Dokl. Akad. Nauk USSR 305, 586-588 (1989).

Yablonskii, G. P.

V. P. Gribkovskii, A. A. Gladyshchuk, V. V. Zubritskii, V. V. Parashchuk, and G. P. Yablonskii, "Streamer discharges in semiconductors," Phys. Status Solidi A 77, 765-774 (1983).
[CrossRef]

Zubritskii, V. V.

V. P. Gribkovskii, A. A. Gladyshchuk, V. V. Zubritskii, V. V. Parashchuk, and G. P. Yablonskii, "Streamer discharges in semiconductors," Phys. Status Solidi A 77, 765-774 (1983).
[CrossRef]

Dokl. Akad. Nauk Belarusi (3)

V. V. Parashchuk, V. P. Gribkovskii, K. I. Rusakov, and A. N. Prokopenya, "Radiative processes at discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 43-47 (1997).

V. V. Parashchuk and V. P. Gribkovskii, "On light self-channelling at streamer discharge in semiconductors," Dokl. Akad. Nauk Belarusi 41, 44-47 (1997).

V. V. Parashchuk and V. P. Gribkovskii, "Auto-oscillations of electron-photon system in conditions of streamer discharge," Dokl. Akad. Nauk Belarusi 45, 56-59 (2001).

Dokl. Akad. Nauk BSSR (1)

V. P. Gribkovskii, "Streamers in semiconductors as the self-organized cooperative processes," Dokl. Akad. Nauk BSSR 29, 896-898 (1985).

Dokl. Akad. Nauk USSR (1)

V. V. Vladimirov, V. N. Gorshkov, O. V. Konstantinov, and N. I. Kuskova, "Excitation of the high-frequency auto-oscillations in semiconductor streamer lasers," Dokl. Akad. Nauk USSR 305, 586-588 (1989).

IEEE J. Quantum Electron. (1)

N. G. Basov, A. G. Molchanov, A. S. Nasibov, A. Z. Obidin, A. N. Pechenov, and Yu. M. Popov, "Semiconductor streamer lasers," IEEE J. Quantum Electron. QE-13, 699-704 (1977).
[CrossRef]

Phys. Status Solidi A (1)

V. P. Gribkovskii, A. A. Gladyshchuk, V. V. Zubritskii, V. V. Parashchuk, and G. P. Yablonskii, "Streamer discharges in semiconductors," Phys. Status Solidi A 77, 765-774 (1983).
[CrossRef]

Quantum Electron. (1)

A. Z. Obidin, A. N. Pechenov, Yu. M. Popov, and V. A. Frolov, "Research of light generation in a direction of streamer channel in semiconductors A2B6," Quantum Electron. 10, 1165-1170 (1983).

Zh. Prikl. Spektrosk. (2)

V. P. Gribkovskii, "Streamer emission in semiconductors," Zh. Prikl. Spektrosk. 40, 709-718 (1984).

V. P. Gribkovskii, A. N. Prokopenya, K. I. Rusakov, and V. V. Parashchuk, "Interaction of an electric field--light and directivity of streamer discharges," Zh. Prikl. Spektrosk. 60, 362-368 (1994).

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Figures (4)

Fig. 1
Fig. 1

Self-oscillations in the system accounting for the (a) spontaneous and (b) stimulated recombination. (a) A 1 = 10 3 , (b) A 1 = 1 ; (a) τ = 10 , n inv = 10 2 ; (a) t 3 × 10 4 ; (b) τ 2 × 10 3 ; (b) τ f = 1 , æ = 1 ; (a) n 0 = 10 10 , (b) n 0 = 10 3 ; (b) n f 0 = 10 3 ; (a) E 0 = 10 6 , (b) E 0 = 10 1 ; C 1 = 0 .

Fig. 2
Fig. 2

(a) Space–time dynamics of the nonequilibrium carrier concentration, (b) photon density, (c) electric field. A 1 = 1 , n inv = 10 2 , æ = 1 , C 1 = 0 ; τ f = 1 , n 0 = 10 3 , n f 0 = 10 3 , E 0 = 10 1 .

Fig. 3
Fig. 3

Formation of regular regimes and dissipative structures (a–d). (a) A 1 = 1 ; (b)–(d) A 1 = 2 ; n inv = 10 2 ; æ = 1 ; C 1 = 0 ; C 0 C 0 2 ; (a) τ f = 1 ; (b)–(d) τ f = 0.08 ; (a) n 0 = 10 3 ; (b)–(d) n 0 = 0 ; (a) n f 0 = 10 3 ; (b)–(d) n f 0 = 10 5 ; (a) E 0 = 10 1 ; (b)–(d) E 0 = 10 2 ; (a) υ 0 = 10 3 ; (b)–(d) υ 0 = 10 3 .

Fig. 4
Fig. 4

(a)–(c) Chaos and dissipative structures in electron–photon system (d) Estimation of the velocity ( V ) of travel of structures. A 1 = 5 , n inv = 10 2 , τ f = 1 , η = 1 ; n 0 = 0 , n f 0 = 10 5 , E 0 = 10 2 , C 1 = 0 , υ 0 = 0.001 ; V Δ x Δ t = 5 × 10 4 10 13 = 5 × 10 9 cm s , Δ n = 5 × 10 18 cm 3 .

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

n t = W + 1 e div j e δ n τ æ ( n n inv ) n f ,
n f t = n f τ f + æ ( n n inv ) n f ,
t div E = t div E 1 τ M div E .
E = A 1 t ( R + x ) 2 .
E t = E t E n C 0 + C 1 ,
W t = A v N v E 10 3 exp ( E c E ) ,
α ( z ) = α 0 exp { ( E i E 0 ) [ ( z r 0 ) r 0 ] } ,
W f ( z ) = ( k I 0 ω ) exp ( k z ) ,
V = ( n t ) ( n x ) ,
V υ 0 + υ 0 α 0 r 0 = υ 0 ( 1 + α 0 r 0 ) .
V υ 0 + æ n f s r 0 = υ 0 ( 1 + æ n f s r 0 υ 0 ) 10 2 υ 0 .

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