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Optical Bistability and Stimulated Brillouin Scattering in a Nonlinear Fiber Resonator

洪譜李

Published Mar 24, 2000• 0 citations

Abstract

an。ptical pulse with an arbitrary． temP・ral pr・釦e is incident・n it・Fu「therm。re， a linear stability analysis has been perf・rmed t・examine whether Ikeda instab皿ty唖ects b輌stable device apPhcati・n・r n・t・Nearly thf sapne resUlts as that・fChapter 3 have been・b垣ned・ In chapteエ5， the・retic訓and expe㎜e皿tal results f・r the dynamics・fSBS in a sin． 91e-m・dゆゆave been 9iven・Itis麺n雄at SBS can°ccu「evenln the nan・Sec・ゆe亘・n．and steady state，・f SBS can be・bt氾nedwh叫he pulse width，・fthe血Cident h酔t is…-f・ld 9reater than thqtr・fthe「°und-t畑廿me within the丘be正F・U・Wing the pr・cess・fthe transient SBS・pulse 興r・wing楓he transmitted pulse is証s・・bse魎M・re・ver・ it is．f°皿d that SBS instab丑ity can occur when the nonhnear refractive in(lex is one ・rderρ麺a騨itude．larger， than that・fthe fused二s蝉c輌er・」n、、chapter 6， the・retical．results翻he t騨ient SBS、 a輌rans輌ent mte叩1ay between Kerr e艶ct叫熱・嚥琴輪e興cゆ・a日』・血9 res。nat・r have been 9iVen． lt⊇輌購0柳g t・・the mte綱・n㎡the nψe訂，refracti

DOI: 10.11501/3171864

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an。ptical pulse with an arbitrary． temP・ral pr・釦e is incident・n it・Fu「therm。re， a linear stability analysis has been perf・rmed t・examine whether Ikeda instab皿ty唖ects b輌stable device apPhcati・n・r n・t・Nearly thf sapne resUlts as that・fChapter 3 have been・b垣ned・ In chapteエ5， the・retic訓and expe㎜e皿tal results f・r the dynamics・fSBS in a sin． 91e-m・dゆゆave been 9iven・Itis麺n雄at SBS can°ccu「evenln the nan・Sec・ゆe亘・n．and steady state，・f SBS can be・bt氾nedwh叫he pulse width，・fthe血Cident h酔t is…-f・ld 9reater than thqtr・fthe「°und-t畑廿me within the丘be正F・U・Wing the pr・cess・fthe transient SBS・pulse 興r・wing楓he transmitted pulse is証s・・bse魎M・re・ver・ it is．f°皿d that SBS instab丑ity can occur when the nonhnear refractive in(lex is one ・rderρ麺a騨itude．larger， than that・fthe fused二s蝉c輌er・」n、、chapter 6， the・retical．results翻he t騨ient SBS、 a輌rans輌ent mte叩1ay between Kerr e艶ct叫熱・嚥琴輪e興cゆ・a日』・血9 res。nat・r have been 9iVen． lt⊇輌購0柳g t・・the mte綱・n㎡the nψe訂，refracti

We numerically investigate the transient interaction between optical Kerr bistability and stimulated Brillouin scattering (SBS) when an intense optical pulse is incident in a short fiber ring resonator. An initial phase detuning of the ring resonator and the difference in the phase shift between the pump wave and the created Stokes wave are taken into account in the three-wave SBS model. The ratio of the Brillouin gain coefficient to the nonlinear refractive index of the fiber, which is termed the relative Brillouin gain coefficient, is used as a key parameter for examining the conditions for obtaining optical Kerr bistability in a fiber ring resonator. The numerical results show that optical Kerr bistability cannot be obtained in a ring resonator made from a conventional fused-silica fiber because of the generation of SBS. However, if other fibers with relative Brillouin gain coefficients at least 1 order smaller than that of fused-silica fibers are used, we can suppress SBS and hence obtain optical Kerr bistability. Moreover, we investigate theoretically and experimentally the dynamics of SBS in a fused-silica fiber ring resonator irradiated by a Gaussian pulse. The relaxation and pulsation in the Stokes signal depend strongly on the initial phase detuning of the ring resonator. The experimental results obtained with a single-frequency pulsed YAG laser agree qualitatively with theoretical predictions.

We have experimentally demonstrated superluminal propagation through a 500 m optical fiber using stimulated Brillouin scattering (SBS), which is the longest superluminal propagating distance reported so far, to the best of our knowledge. Brillouin-induced loss resonance for fast light generation of pump signals is achieved in a single frequency Brillouin lasing oscillator with a highly nonlinear fiber as the SBS medium. The single frequency operation is realized by embedding the saturable absorber fiber loop with an unpumped erbium-doped fiber. Consequently, signals with a pulse width of 710 ns experience a maximum advancement of 1330 ns. Furthermore, the effects of pulse width and the duty cycle of pump signals are also investigated.

We present an analysis of the dynamic behavior of a nonlinear fiber ring resonator when an optical pulse with an arbitrary shape envelope is incident into it through a fiber directional coupler. The transient analysis is based on the extension of a well-known multiple-beam interference method to non-linear transmission problems. The steady-state analyses reported so far predict that the ring resonator exhibits reflection optical bistability in the input-output characteristics under appropriate conditions. But, our transient analysis shows that a nearly periodical oscillation of the transmitted power always takes place at a suitable initial detuning when the resonator has no loss or a small loss. It seems that the present instability is caused by the repetition of accumulation and release of the power in the ring resonator. We can obtain a bistable hysteresis loop by introducing a loss to the directional coupler. The dynamic behavior of bistability in a nonlinear fiber ring resonator with coupler loss is then investigated. It is found that a remarkable undershoot and overshoot occur in the switch-off curve and switch-on curve, respectively.