Regular, quasi-periodic, and chaotic behavior in continuous-wave solid-state Kerr-lens mode-locked lasers

Калашников, В. Л.; Poloyko, I. G.; Mikhailov, V. P.; Linde, D. von der

doi:10.1364/josab.14.002691

Cited by 17 publications

(5 citation statements)

References 7 publications

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“…17 We neglect the thermal lens effect because it may simply shift the cavity configuration and play a minor role in the ultrashort-pulse dynamics. 11 Our numerical results confirm the theoretical prediction that the multiple periods of pulse trains in a KLM cavity depend on the cavity configuration, even if spatial-temporal coupling is considered. The evolution of the system will become irregular if the nonlinear effect is further increased.…”

Section: Introductionsupporting

confidence: 83%

“…10. Besides the dynamics that involves the phase locking of both transverse and longitudinal modes, the dynamic behavior based on the propagation of a single Gaussian beam, including self-focusing and loss effects, 11 was numerically investigated. By use of geometric (spot size and curvature) and energetic (gain and intensity) variables in a KLM system, regular, quasi-periodic, and chaotic behaviors were obtained in a KLM laser whose configuration was close to the limit of the stable region.…”

Section: Introductionmentioning

confidence: 99%

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Cavity-configuration-dependent nonlinear dynamics in Kerr-lens mode-locked lasers

Wei

Hsieh

2000

J. Opt. Soc. Am. B

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We determined theoretically that the nonlinear dynamics of a Gaussian beam is configuration dependent in a general cavity. This prediction was confirmed by numerical simulation in a Kerr-lens mode-locked cavity for which the self-focusing effect is considered the nonlinear source in both the spatial and the temporal domains. Period doubling, tripling, and quadrupling can occur in these configurations with the products of generalized cavity G parameters equal to 1/2, 1/4 (or 3/4), and (2 Ϯ ͱ2)/4, respectively. The dynamic behavior of the cavity beam will become irregular if the nonlinear effect is further increased.

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Section: Introductionsupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Cavity-configuration-dependent nonlinear dynamics in Kerr-lens mode-locked lasers

Wei

Hsieh

2000

J. Opt. Soc. Am. B

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“…Mode-locked oscillators are known to demonstrate a variety of the dynamical scenarios including chaotic [5,[24][25][26][27]. As was demonstrated, the nonlinear gain and loss can result per se in a chaotic pulse dynamics [28].…”

Section: Resultsmentioning

confidence: 96%

Chaotic chirped-pulse oscillators

Sorokin¹,

Tolstik²,

Калашников³

et al. 2013

Opt. Express

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Abstract:We present results of experimental investigation of the chaotic and quasi-periodic regime in the chirped-pulsed (dissipative soliton) Cr:ZnS and Cr:ZnSe mid-IR oscillators with significant third-order dispersion. The instability develops when the spectrum edge approaches resonance with a linear wave either due to power increase or by dispersion adjustment. In practice, this occurs when the spectrum edge reaches zero dispersion wavelength. The analysis suggests a three-oscillator chaos model, which is confirmed by numerical simulations. The regime is long-term stable and can be easily overlooked in similar systems. We show that chaotic regime is accompanied by a characteristic spectral shape and can be reliably recognized by using wavelength-skewed filters and by second-harmonic or two-photon absorption detectors.

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“…where W 2 is the 1/e 2 -radius of the intensity transmission function of the Gaussian aperture [31,32]. This simple behavior of a Gaussian aperture acting on a Gaussian beam (TEM00-mode) can be captured into an ABCD-matrix for Gaussian optics as [33,31,34,35,36,30]:…”

Section: Thermal Lens and Aperture Effectsmentioning

confidence: 99%

“…The active medium itself (vertical lines at z = 0 and z = 1) acts as focusing element of the telescopes with focal length f AM . The defocusing elements (cyan vertical lines) of the telescopes have focal length f ′ given by Eq (36). and are placed at a distance 0.25L from the active medium, where L is the distance between the two passes in the active medium.…”

mentioning

confidence: 99%

Multipass amplifiers with self-compensation of the thermal lens

Schuhmann¹,

Kirch²,

Marszałek³

et al. 2018

Appl. Opt.

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We present a novel architecture for a multi-pass amplifier based on a succession of optical Fourier transforms and short propagations that shows a superior stability for variations of the thermal lens compared to state-of-the-art 4fbased amplifiers. We found that the proposed multi-pass amplifier is robust to variations of the active medium dioptric power. The superiority of the proposed architecture is demonstrated by analyzing the variations of the size and divergence of the output beam in form of a Taylor expansion around the design value for variations of the thermal lens in the active medium. The dependence of the output beam divergence and size is investigated also for variations of the number of passes, for aperture effects in the active medium and as a function of the size of the beam on the active medium. This architecture makes efficient use of the transverse beam filtering inherent in the active medium to deliver a beam with excellent quality (TEM00).

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Regular, quasi-periodic, and chaotic behavior in continuous-wave solid-state Kerr-lens mode-locked lasers

Cited by 17 publications

References 7 publications

Cavity-configuration-dependent nonlinear dynamics in Kerr-lens mode-locked lasers

Cavity-configuration-dependent nonlinear dynamics in Kerr-lens mode-locked lasers

Chaotic chirped-pulse oscillators

Multipass amplifiers with self-compensation of the thermal lens

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