Figure 1

Schematic of the coherently mode-locked laser. Amplifier and absorber are implemented within the same sample, as used in the numerical model. If necessary, the gain and absorbing media can be placed in different locations inside the cavity.Reuse & Permissions

Figure 2

Electric field and its spectrum. (a) Electric field in the steady-state regime (after 130 round-trips) at the out-coupling mirror (at point 1 in Fig. 1). (b) The seed (input) pulse is shown. (c) Spectrum of the pulse from (a) (medium thin line), spectrum of the seed pulse (thick line), spectrum of the pulse after 75 round-trips (thin line). Spectra of the pulses after 75 and 130 round-trips are almost undistinguishable, demonstrating that a true steady state is achieved. The spectral amplitude of the pulse on the vertical axis is defined as $20\ln \left(\sqrt{F\left(\omega \right)}\right)$, where $F\left(\omega \right)$ is the $\omega$ component of the Fourier power spectrum. Variables on the vertical and horizontal axes are both dimensional: time and frequency are normalized to ${\omega }_{12}$; electric field is the normalized Rabi frequency $d_{p}E/\hslash {\omega }_{21}$. $R=0.92$, other parameters are as explained in the text.Reuse & Permissions

Figure 3

Temporal evolution of the intracavity energy. Simulation conditions are as for Fig. 1. (b) An exploded view of three round-trips. Numbers indicate those points in time when the pulse crosses the characteristic points in the cavity, as introduced in Fig. 1. $T$ is the round-trip time. Energy is the dimensionless quantity, namely ${\omega }_{12}{\int }_{-\infty }^{\infty }dt{(d_{p}E/\hslash {\omega }_{21})}^2$.Reuse & Permissions