#################### Two-level #################### ************************************* Linear Absorption & Beer-Lambert Law ************************************* Weak probe pulses and continuous-wave fields in a two-level absorber. Demonstrates Beer-Lambert attenuation, the role of spontaneous decay, and how increasing optical depth reshapes the transmitted pulse. .. toctree:: :maxdepth: 1 mbs-linear-absorption *************************************************** Self-Induced Transparency & Optical Solitons *************************************************** Strong resonant pulses whose area exceeds π can form area-conserving solitons via self-induced transparency (McCall–Hahn). 2π solitons propagate without loss; larger areas break up into multiple solitons. Odd-π inputs are unstable fixed points of the area theorem. .. toctree:: :maxdepth: 1 mbs-sit-area-theorem *************************************************** Photon Echo & Coherence Time ($T_2$) Measurement *************************************************** A π/2 pulse followed by a π pulse creates a photon echo at $t = +\tau$ in an inhomogeneously broadened (Doppler-broadened) medium. The echo amplitude decays as $e^{-2\tau/T_2}$, allowing the **homogeneous** coherence time $T_2$ to be measured even when the lineshape is dominated by inhomogeneous broadening. .. toctree:: :maxdepth: 1 mbs-two-photon-echo