Area theorem in a ring laser cavity
arXiv:2305.16515 · doi:10.1103/PhysRevA.108.023506
Abstract
The generalization of the area theorem is derived for the case of a pulse circulating inside a ring laser cavity. In contrast to the standard area theorem, which is valid for a single pass of a traveling pulse through a resonant medium, the obtained generalized area theorem takes into account the medium-assisted nonlinear self-action effects through the medium excitation left by the pulse at the previous round-trip in the cavity. The generalized area theorem was then applied to the theoretical description of the dynamics of a single-section ring-cavity laser and the steady solutions for the pulse area and for the medium parameters were found both in the limit of a lumped model and for a spatially-extended system. The derived area theorem can be used for the convenient analytical description of different coherent photonic devices, like coherently mode-locked lasers or pulse compressors, as well as for the analysis of the photon echo formation in cavity-based setups.
References in corpus (12)
- Studying ultrafast Rabi dynamics with a short-wavelength seeded free-electron laser
- Advent of a gigawatt-class, tabletop, isolated-attosecond-pulse light source
- Propagation of subcycle pulses in a two-level medium: Area-theorem breakdown and pulse shape
- Self-induced transparency mode-locking, and area theorem
- Self-starting stable coherent mode-locking in a two-section laser
- Ultrashort self-induced transparency plasmon solitons
- Analytic solution and pulse area theorem for three-level atoms
- Self-induced transparency mode-locking in a Ti:sapphire laser with an intracavity rubidium cell
- Photon echoes in optically dense media
- Strong excitation of emitters in an impedance matched cavity: the area theorem, π-pulse and self-induced transparency
- Vector-soliton storage and three-pulse-area theorem
- Pulse area theorem in a single mode waveguide and its application to photon echo and optical memory in Tm3+:Y3Al5O12