The Chaotic Oscillation of the Single-Mode He-Ne(6328 Å) Class A Laser

Kuwashima, Fumiyoshi; Kitazima, Iwao; Iwasawa, Hiroshi

doi:10.1143/jjap.37.l325

Cited by 17 publications

(18 citation statements)

References 15 publications

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“…Recently, similar studies have successfully demonstrated experimentally the occurrence of LFFs in a class-A He -Ne laser. 3,4 These results were confirmed by numerical simulations of the class-A laser equations. 5 However, few lasers can be described by a field equation only.…”

supporting

confidence: 53%

Low-frequency pulsations in class-B solid-state lasers with delayed feedback

Pieroux

Mandel

2002

Opt. Lett.

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We report on the numerical observation of short-duration low-frequency pulsations in class-B solid-state lasers subject to delayed feedback. The period of these pulsations is much larger than either the delay induced by the feedback or the relaxation oscillation period of the laser without feedback. A link is established between the low-frequency pulsations and the low-frequency f luctuations observed in semiconductor lasers subject to coherent optical feedback. © 2002 Optical Society of America OCIS codes: 140.0140, 140.3430, 190.3100. Most studies on the dynamics of lasers subject to delayed feedback have focused on the Lang-Kobayashi (LK) rate equation model. 1This model describes in a simple way the dynamics of a single-mode semiconductor laser subject to a weak coherent optical feedback. In particular, a large amount of research has been devoted to the study of the low-frequency f luctuations (LFFs). LFFs consist of sudden and irregular drop-offs that are best observed in the low-passfiltered time trace of the laser intensity. 2The unf iltered time trace also displays this phenomenon but with high-frequency modulation superimposed. One of the most intriguing properties of LFFs is that the typical duration between consecutive drop-offs is much larger than the delay. Recently, similar studies have successfully demonstrated experimentally the occurrence of LFFs in a class-A He -Ne laser. 3,4These results were confirmed by numerical simulations of the class-A laser equations. 5However, few lasers can be described by a field equation only. A much larger class of lasers are those that are ruled by rate equations that couple the complex field amplitude and the population inversion (here referred to as class-B lasers). In this Letter we focus on the dynamics of solid-state class-B lasers subject to either an optoelectronic 6 -8 or an incoherent optical feedback loop. 9 We demonstrate that these lasers can also sustain regimes featuring regular pulses with a typical period much larger than the time delay. Because these regimes are more regular than what is commonly observed with LFFs, we call them low-frequency pulsations (LFPs). We also establish the relation between LFFs and LFPs.We consider f irst a single-mode solid-state homogeneously broadened class-B laser subject to optoelectronic feedback acting on the losses. In the simplest model the intensity I and the population inversion N verify the two dimensionless rate equations 8 :Time is measured in units of the photon lifetime t ph , P is the pump level above threshold, and T . . 1 is the ratio between the inversion population lifetime and the photon lifetime. The feedback loop is characterized by its strength k and its delay t. All variables are evaluated at time t except for I ͑t 2 t͒. The dynamics of the feedback loop is not taken into account. Above threshold ͑P . 0͒ and in the absence of feedback, Eqs. (1) and (2) have a single stable steady state I P and N 1. If the feedback k is weak enough, the solution remains close to this steady state. In that cas...

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supporting

confidence: 53%

Low-frequency pulsations in class-B solid-state lasers with delayed feedback

Pieroux

Mandel

2002

Opt. Lett.

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“…In our second paper, 17) chaotic oscillation from a class A laser is first demonstrated in a single-mode He-Ne (6328 Å) standing-wave laser which has an external mirror without the PZT. The threshold value of a control parameter for the chaos is approximately 16% of the external mirror reflectivity (power).…”

Section: Experiments Imentioning

confidence: 99%

“…In §2, we summarize the results of experiments I, 17) in which chaotic oscillation in a class A He-Ne (6328 Å) single-mode laser was observed by means of delayed feedback by tilting the external mirror. Section 3 is devoted to improved experiments (experiments II), in which we use a ND filter instead of tilting the external mirror; we also study the effect of the pumping parameter on the chaotic behavior of a class A laser.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Oscillation in a Single-Mode Class A He–Ne Laser (6328 Å) II

Kuwashima¹,

Ichikawa²,

Kitazima³

et al. 1999

Jpn. J. Appl. Phys.

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Chaotic oscillation in a single-mode He-Ne laser (6328 Å), which belongs to a class A laser, is investigated through experiments I which were reported in our previous paper [F. Kuwashima, I. Kitazima and H. Iwasawa: Jpn. J. Appl. Phys. 37 (1998) L325.], and the improved experiments II. The results of experiments II, which were conducted using a neutral density (ND) filter instead of the tilted mirror used in experiments I, demonstrate the effect of the tilted mirror and a pumping parameter on the chaotic behavior of this laser. We also confirm and discuss the threshold value for chaos vs control parameters from the estimated Lyapunov exponents. The route to chaos in this laser is also discussed. Lastly, the laser equation of the class A laser with delayed feedback is introduced and numerical results which reveal chaotic oscillations are reported.

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“…Additionally, this also affects the introduction of optical chaos in the devices, since a nonlinear system exhibiting deterministic chaos must be described by at least three dynamical variables; 5 therefore, in a class B laser, the imposition of only one external variable is required, whereas two are needed to observe the same effect in a class A device. 6 We present here the results of time-resolved studies of the stimulated emission photocurrent, which were carried out using the Dutch free-electron laser FELIX. These show g ϳ 50 ps and indicate that class B dynamics should be expected from these structures.…”

Section: Introductionmentioning

confidence: 99%

Gain recovery dynamics of a terahertz quantum cascade laser

et al. 2009

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The gain recovery time of a bound-to-continuum terahertz quantum cascade laser is measured using a stimulated emission photocurrent technique. At low temperatures a value ϳ50 ps is found. This tends to decrease with rising temperature, and suggests that class B laser dynamics should be expected from these devices. Both the value and the trend in the gain recovery time are found to be consistent with hopping transport through the miniband. Power-dependent measurements of the photocurrent clearly show the effects of inhomogeneous broadening of the gain transition.

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The Chaotic Oscillation of the Single-Mode He-Ne(6328 Å) Class A Laser

Cited by 17 publications

References 15 publications

Low-frequency pulsations in class-B solid-state lasers with delayed feedback

Low-frequency pulsations in class-B solid-state lasers with delayed feedback

Chaotic Oscillation in a Single-Mode Class A He–Ne Laser (6328 Å) II

Gain recovery dynamics of a terahertz quantum cascade laser

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