A Self-Consistent Quantum Field Theory for Random Lasing

Abstract

The spatial formation of coherent random laser modes in strongly scattering disordered random media is a central feature in the understanding of the physics of random lasers. We derive a quantum field theoretical method for random lasing in disordered samples of complex amplifying Mie resonators which is able to provide self-consistently and free of any fit p arameter t he full set of transport characteristics at and above the laser phase transition. The coherence length and the correlation volume respectively is derived as an experimentally measurable scale of the phase transition at the laser threshold. We find t hat t he p rocess o f s timulated e mission i n extended disordered arrangements of active Mie resonators is ultimately connected to time-reversal symmetric multiple scattering in the sense of photonic transport while the diffusion coefficient is finite. A power law is found for the random laser mode diameters in stationary state with increasing pump intensity.

Electromagnetic Scattering by Networks of High-Permittivity Thin Wires

“…It also enucleates the connection between the current modes, resonances, radiative corrections, and the topology of the underlying graph. It may also help the comprehension of lasing in complex photonic graphs and networks [18][19][20][21].…”