Surface plasmon-polariton enhanced lasing: numerical studies

The study of subwavelength behavior of light and nanoscale lasing has broad

potential applications in various forms of computation i.e. optical and quantum, as well as

in energy engineering. Although this field has been under active research, there has been

little work done on describing the behaviors of threshold and saturation. Particularly, how

the gain-molecule behavior affects the lasing behavior has yet to be investigated.

In this work, the interaction of surface-plasmon-polaritons (SPPs) and molecules is

observed in lasing. Various phenomenologies are observed related to the appearance of the

threshold and saturation regions. The lasing profile, as a visual delimiter of lasing threshold

and saturation, is introduced and used to study various parametrical dependencies of lasing,

including the number-density of molecules, the molecular thickness and the frequency

detuning between the molecular transition frequency and the SPP resonant frequency. The

molecular population distributions are studied in terminal and dynamical methods and are

found to contain unexpected and theoretically challenging properties. Using an average

dynamical analysis, the simulated spontaneous emission cascade can be clearly seen.

Finally, theoretical derivations of simple 1D strands of dipoles are presented in both

the exact and mean-field approximation, within the density matrix formalism. Some

preliminary findings are presented, detailing the observed behaviors of some simple

systems.