A New Interpretation of Laser Instabilities

Explore a groundbreaking lecture on laser instabilities that challenges conventional understanding of laser dynamics. Delve into a comprehensive reexamination of the 50-year-old mathematical model, uncovering why atomic polarization resists adiabatic elimination even with rapid relaxation processes. Follow the speaker's innovative approach, transforming the original model into a delay equation and implementing a multi-scale perturbative method to reintroduce space-time representation. Discover the unexpected near-Hamiltonian nature of laser dynamics, revealed as a nonlinear Klein-Gordon wave equation with a Toda potential. Gain insights into the singularity of the original model and the complexities surrounding polarization elimination, offering a fresh perspective on this long-standing puzzle in laser physics.