Pulsating instabilities and chaos in lasers

Harrison, Robert G.; Biswas, Dhruba J.

doi:10.1016/0079-6727(85)90005-9

Cited by 42 publications

(11 citation statements)

References 208 publications

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“…Several reviews of spontaneouspulsation instabilities are available. [3][4][5][6][7][8][9] Although many of the basic concepts in this subject have been well established for many years, research continues. Recent devel-opments have included pulsations in fiber lasers 10 and new multilevel effects.…”

Section: Introductionmentioning

confidence: 99%

Spontaneous coherent pulsations in 339-m He–Ne standing-wave laser oscillators

Chenkosol

Casperson

2003

J. Opt. Soc. Am. B

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Spontaneous pulsations similar to the type discovered in 3.51-m Xe laser oscillators were reported several years ago in 3.39-m He-Ne lasers, but no numerical interpretation of the He-Ne data has been given. The model for the Xe laser instability is adapted here to the He-Ne system, and the results include direct comparisons between theoretical calculations and published experimental data. Good agreement is obtained for the instability threshold, the pulsation frequencies, and many other features; and unmeasured but potentially useful pulsation characteristics are also readily obtained from the model.

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Section: Introductionmentioning

confidence: 99%

Spontaneous coherent pulsations in 339-m He–Ne standing-wave laser oscillators

Chenkosol

Casperson

2003

J. Opt. Soc. Am. B

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“…The equations of motion are derived using a semi-classical approach, considering the resonant field inside the laser cavity as a macroscopic variable interacting with a two-level system. Assuming exact resonance between the atomic line and the cavity mode, and after adequate approximations, one obtains three coupled non-linear differential equations for the field, polarization, and population inversion of the medium, the so-called Lorenz-Haken model [8,14,16]:…”

Section: Haken-lorenz Equations: Periodone Oscillationsmentioning

confidence: 99%

The Lorenz model for single-mode homogeneously broadened laser: analytical determination of the unpredictable zone

Ayadi

Haeberlé

2014

Open Physics

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Abstract:We have applied harmonic expansion to derive an analytical solution for the Lorenz-Haken equations. This method is used to describe the regular and periodic self-pulsing regime of the single mode homogeneously broadened laser. These periodic solutions emerge when the ratio of the population decay rate ℘ is smaller than 0 11. We have also demonstrated the tendency of the Lorenz-Haken dissipative system to behave periodic for a characteristic pumping rate "2C P " [7], close to the second laser threshold "2C 2 "(threshold of instability). When the pumping parameter "2C " increases, the laser undergoes a period doubling sequence. This cascade of period doubling leads towards chaos. We study this type of solutions and indicate the zone of the control parameters for which the system undergoes irregular pulsing solutions. We had previously applied this analytical procedure to derive the amplitude of the first, third and fifth order harmonics for the laser-field expansion [7,17]. In this work, we extend this method in the aim of obtaining the higher harmonics. We show that this iterative method is indeed limited to the fifth order, and that above, the obtained analytical solution diverges from the numerical direct resolution of the equations. PACS

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“…can be ignored from the general set, because Eq. (39) becomes independent of the parameter M 2 j 4. ' This simplification reduces the number of equations involved in the computation, and Eqs.…”

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confidence: 99%

Spontaneous coherent pulsations in standing-wave laser oscillators: stability criteria for homogeneous broadening

Chenkosol

Casperson

1993

J. Opt. Soc. Am. B

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The stability criteria for single-mode standing-wave laser oscillators in the homogeneously broadened limit are reported, and two types of criteria are distinguished. The first type (type 1) corresponds to the minimum value of the threshold parameter for which an infinitesimal perturbation away from steady state grows into an oscillatory solution. A second type (type 2) corresponds to the minimum value of threshold parameter for which large-amplitude oscillations do not decay to the steady-state solution. Undamped pulsations in singlemode homogeneously broadened standing-wave laser oscillators are found to occur at a much higher excitation level than in ring-laser oscillators with homogeneous broadening. The effects of detuning on the stability criteria are also investigated.

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Pulsating instabilities and chaos in lasers

Cited by 42 publications

References 208 publications

Spontaneous coherent pulsations in 339-m He–Ne standing-wave laser oscillators

Spontaneous coherent pulsations in 339-m He–Ne standing-wave laser oscillators

The Lorenz model for single-mode homogeneously broadened laser: analytical determination of the unpredictable zone

Spontaneous coherent pulsations in standing-wave laser oscillators: stability criteria for homogeneous broadening

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