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Transient regime in a nth-order cascaded CW Raman fiber laser

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Abstract

The transient regime of a nth-order CW Raman fiber laser is simulated from switch-on to the steady-state and from the steady-state to switch-off. The Stokes waves exhibit high-power spikes during the switch-on transition. We find that the high order Stokes fields reach steady-state faster than the low order ones and the pump.

©2004 Optical Society of America

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Figures (5)

Figure 1.
Figure 1. Scheme for a nth-order cascaded Raman fiber laser. λ j represents the wavelength of the jth Stokes wave. Only the output coupler (OC) is not highly reflective. The vertical lines represent the Bragg gratings used as reflectors with reflectivity R± j .
Figure 2.
Figure 2. Evolution through time of Stokes power in the middle of the cavity at z=L/2 during switch-on. The laser is a 6 th -order cascade with a 150 m long cavity and 96.7% mirrors except for the 50% output coupler. The curves are offset by 10 W for comparison.
Figure 3.
Figure 3. Evolution through the first 20 µs of Stokes power in the middle of the cavity during switch-on. The Stokes waves’ power levels are shown superimposed so as to highlight the transfer from one wave to the other.
Figure 4.
Figure 4. Evolution of Stokes power in the cavity during switch-on. The colors white, red, green, blue, cyan, magenta and yellow stand for the pump and Stokes waves from n=1 to n=6. Note that the vertical scales change at t=20, 25, and 32 µs (2.6 MB).
Figure 5.
Figure 5. Evolution of Stokes power in the cavity during switch-off. The colors white, red, green, blue, cyan, magenta and yellow stand for the pump and Stokes waves from n=1 to n=6. Note that the vertical scales change at t=8, 23, and 36 µs (1.8 MB).

Tables (1)

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Table 1. Fiber characteristics.

Equations (12)

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P 0 ± ( z , t ) z ± 1 v g 0 P 0 ± ( z , t ) z = g 0 [ P 1 + ( z , t ) + P 1 ( z , t ) + 4 h f 0 B 0 , + ] P 0 ± ( z , t )
α 0 P 0 ± ( z , t )
P j ± ( z , t ) z ± 1 v gj P j ± ( z , t ) t = ± g j [ P j 1 + ( z , t ) + P j 1 ( z , t ) ] [ P j ± ( z , t ) + 2 h f j B j , ]
g j [ P j + 1 + ( z , t ) + P j + 1 ( z , t ) + 4 h f j B j , + ] P j ± ( z , t )
α j P j ± ( z , t ) for j = 1 to n 1
P n ± ( z , t ) z ± 1 v gn P n ± ( z , t ) t = ± g n [ P n 1 + ( z , t ) + P n 1 ( z , t ) ] [ P n ± ( z , t ) + 2 h f n B n , ]
α n P n ± ( z , t )
B j , ± = 1 + 1 exp ± h ( f j ± 1 f j ) k B T 1
P 0 + ( 0 ) = P in P 0 ( L ) = R 0 + P 0 + ( L )
P j + ( 0 ) = R j P j ( 0 ) P j ( L ) = R j + P j + ( L ) for j = 1 to n
P j ± ( z , 0 ) = 0 except for P 0 + ( 0 , t ) = P in for t 0
τ = 2 L v g 300 m 2 · 10 8 m s = 1.5 μ s
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