Effect of beam ellipticity on self-mode locking in lasers

Bridges, Robert E.; Boyd, Robert W.; Agrawal, Govind P.

doi:10.1364/ol.18.002026

Cited by 29 publications

(8 citation statements)

References 7 publications

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“…where a is a correction factor, assumed to have a value of 4 [43], n is the refractive index and n 2 the nonlinear index coefficient of the medium. In fused silica this critical power is approximately 3.7 MW for a wavelength of λ 0 ≈ 1 µm, corresponding to a pulse energy of 3.7 mJ at a stretched pulse duration of 1 ns.…”

Section: Energy-scaling Considerationsmentioning

confidence: 99%

Ultrashort Pulse Fiber Lasers and Amplifiers

Tünnermann¹,

Limpert²,

Nolte³

2004

Topics in Applied Physics

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Abstract. Reliable turn-key high-power ultrafast laser sources are required for a variety of applications in science, industry, and medicine. Fiber-based laser systems have the potential to fulfill this requirement. In this Chapter the possibilities of rare-earth doped fibers for the amplification of ultrashort pulses are discussed. Novel concepts to overcome limitations due to nonlinear effects are presented.Micromachining with ultrafast lasers has grown into an intensive research topic during the past ten years. Various applications have been explored and several advantages of this technology have been demonstrated, however, for the majority of real-world applications the achieved process throughput is still too low. Thus, one key element for a successful implementation of ultrafast laser technology in an industrial environment is a significant power increase of the laser sources.Fiber-based laser systems are appropriate candidates for power scaling since they are, in general, immune against any thermo-optical problems due to their geometry. The excellent heat dissipation is due to the large ratio of surface-to-active volume. In addition, the beam quality of the guided mode is determined by the fiber-core design and is therefore power independent.Moreover, due to the confinement of both the laser and pump radiation, a high intensity is maintained over the entire fiber length. As a consequence the product of pump-light intensity and interaction length with the laser radiation in the gain medium, which determines the gain, can be orders of magnitude higher in fibers [1] than in other bulk solid-state lasers. This leads to a highly efficient operation of fiber-laser systems, with very high gain and low pump threshold values. Additionally, the complete integration of the laser process leads to the inherent compactness and long-term stability of fiber lasers, because no components are necessary in a long free-space cavity.Ytterbium-doped fiber-laser systems are especially interesting for highpower ultrashort pulse generation and amplification. The fundamental requirement for broad-bandwidth short-pulse amplification, a broad emission spectrum, is fulfilled. In ytterbium-doped glass fibers the amplification bandwidth is approximately 40 nm [2,3], which supports pulses of durations as low as 30 fs. Due to the low quantum defect level of less than 10% Yb-doped fibers can provide optical-to-optical efficiencies well above 80% [4] and have an inherent low thermal load. Moreover, excited-state absorption of pump

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Section: Energy-scaling Considerationsmentioning

confidence: 99%

Ultrashort Pulse Fiber Lasers and Amplifiers

Tünnermann¹,

Limpert²,

Nolte³

2004

Topics in Applied Physics

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show abstract

“…It is possible to recast the second-moment equations (I.28) -(I.30) as ABCD matrices. 5,6 This approach permits the easy integration of optical elements whose actions on the beam can also be treated through the appropriate ABCD matrices. 7 However, this approach becomes cumbersome when additional physical effects, such as thermal lensing and saturated gain, are considered.…”

Section: Propagation Through Optical Elementsmentioning

confidence: 99%

“…When using the BPM, we use Eqs. (6) and (8) to account for the action of optical elements; when using the SME's, we use Eqs. (6) and (7).…”

Section: Propagation Through Optical Elementsmentioning

confidence: 99%

“…Figures 9(a) and 9(b) show the corresponding magnified views in the vicinity of the crystal. In a previous paper 6 we considered the same cavity discussed in this section, but in that paper we did not notice the existence of the second stable cavity solution.…”

Section: A Mode-locked Case: Nonlinear Coupling Neglectedmentioning

confidence: 99%

“…5 It was also shown previously that a nonlinear cavity can have multiple solutions if nonlinear coupling is included. 6…”

Section: A Mode-locked Case: Nonlinear Coupling Neglectedmentioning

confidence: 99%

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Multidimensional coupling owing to optical nonlinearities II Results

1996

Self Cite

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We compare three computational techniques developed in the preceding paper [J. Opt. Soc. Am. 13, 553 (1996)] that account for the effects of nonlinear coupling on light propagating through nonlinear, dispersive media. We demonstrate that all three techniques give reasonable accuracy under conditions typical of a self-modelocked laser. We further show that these techniques are greatly superior to techniques that neglect nonlinear coupling in that they give results that are more accurate and, in some cases, qualitatively different. We demonstrate such a qualitative difference by using the example of a self-mode-locked (Kerr-lens mode-locked) Ti:sapphire laser that has only one cavity solution when nonlinear coupling is included yet two cavity solutions when nonlinear coupling is neglected.

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2008

Ultrafast Optics

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Effect of beam ellipticity on self-mode locking in lasers

Cited by 29 publications

References 7 publications

Ultrashort Pulse Fiber Lasers and Amplifiers

Ultrashort Pulse Fiber Lasers and Amplifiers

Multidimensional coupling owing to optical nonlinearities II Results

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