We explain how to construct tables of quartic fields of discriminant less than or equal to a given bound in an efficient manner using Kummer theory, instead of the traditional (and much lessâ€¦ (More)

A simple analytical model of the mechanism responsible for the formation of bound states of pulses in the stretched-pulse fiber laser is given. The proposed model is based on a noncoherentâ€¦ (More)

Erbium-doped mode-locked fiber lasers with repetition rates comparable to those of solid-state lasers and generating nJ pulses are required for many applications. Our goal was to design a fiber laserâ€¦ (More)

Using the explicit class field theory developed in [3] and tables of number fields in low degree, we construct totally complex number fields having a degree smaller than 80 and a root discriminantâ€¦ (More)

We report the observation of a new regime of operation in the stretched-pulse fiber laser in which two groups of bound pulses travel in the cavity at different velocities. The pulse groups collideâ€¦ (More)

We describe in detail the implementation of an algorithm which computes the class group and the unit group of a general number field, and solves the principal ideal problem. The basic ideas of thisâ€¦ (More)

The development of compact and reliable ultrafast sources operating in the mid-infrared region could lead to major advances in both fundamental and applied sciences. In this Letter, we report on aâ€¦ (More)