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Storage of ultrashort optical pulses in a resonantly absorbing Bragg reflector

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Abstract

A practical method of slowing and stopping an incident ultra-short light pulse with a resonantly absorbing Bragg reflector is demonstrated numerically. It is shown that an incident laser pulse with suitable pulse area evolves from a given pulse waveform into a stable, spatially-localized oscillating or standing gap soliton. We show that multiple gap solitons can be simultaneously spatially localized, resulting in efficient optical energy conversion and storage in the resonantly absorbing Bragg structure as atomically coherent states.

©2003 Optical Society of America

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Figures (4)

Fig. 1.
Fig. 1. Contour plot for the inversion n(x, t) for varying pulse amplitudes Ω0+. Time t is on vertical axis, position in the structure x is on the axis, and n is out of the page. The black corresponds to n=1, i.e. population inversion, and the white to n=-1, two-level systems in ground state. Thus the dark line tracks the localized excitation through the structure in spacetime. (a) Ω0+=1.5;(b) Ω0+=3.6; (c) Ω0+=4.3; (d) Ω0+=8.4.τ 0=0.5 for all plots. The incident pulses all have sech profiles.
Fig. 2.
Fig. 2. Distributions for n(x), P(x), Ω0±(x) at t=90 within the structure in Fig. 1(b).
Fig. 3.
Fig. 3. (a):Stability of a decelerating soliton against an added stochastic perturbation. Plot layout is the same as described in Fig. 1. All parameters are the same as in Fig. 1 except for the added stochastic perturbation. (b)The effects of the transverse and longitude relaxations on the existence of a decelerating soliton; here T 1=T 2=100τc and initial conditions are the same as in Fig. 1 except that Ω0+=4.0.
Fig. 4.
Fig. 4. Collisions of two serially incident sech pulses. Plot layout is the same as described in Fig. 1. (a): Ω +(t)=3.6sech[(t-10)/0.5]+3.6sech[(t-30)/0.5]; (b): Ω +(t)=3.6sech[(t-10)/0.5]+4.5sech[(t-50)/0.5].

Equations (5)

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P ( x , t ) = Ω t ± ( x , t ) ± Ω x ± ( x , t ) ,
P t ( x , t ) = n ( x , t ) ( Ω + ( x , t ) + Ω ( x , t ) ) ,
n t ( x , t ) = Re ( P * ( x , t ) ( Ω + ( x , t ) + Ω ( x , t ) ) ) ,
Ω + ( x = 0 , t ) = Ω 0 + ( t ) , Ω ( x = l , t ) = 0 ,
Ω ± ( x , t = 0 ) = 0 , P ( x , t = 0 ) = 0 , n ( x , t = 0 ) = 1 .
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