title: Exactly solvable toy model for surface plasmon amplification by stimulated emission of radiation.
abstract: We propose an exactly solvable electrodynamical model for surface plasmon amplification by stimulated emission of radiation (spaser). The gain medium is described in terms of the nonlinear permittivity with negative losses. The model demonstrates the main feature of a spaser: a self-oscillating state (spasing) arising without an external driving field if the pumping exceeds some threshold value. In addition, it properly describes synchronization of a spaser by an external field within the Arnold tongue and the possibility of compensating for Joule losses when the pumping is below threshold. The model also gives correct qualitative dependencies of spaser characteristics on pumping.
authors.affiliation: Moscow Institute of Physics and Technology, 9 Institutskiy per, Dolgoprudny 141701, Moscow Reg, Russia.
authors.forename: D G
authors.initials: DG
authors.lastname: Baranov
authors.forename: E S
authors.initials: ES
authors.lastname: Andrianov
authors.forename: A P
authors.initials: AP
authors.lastname: Vinogradov
authors.forename: A A
authors.initials: AA
authors.lastname: Lisyansky
mesh_terms: D000669:Amplifiers, Electronic; D003198:Computer Simulation; D004735:Energy Transfer; D004867:Equipment Design; D019544:Equipment Failure Analysis; D008029:Lighting / Q000295:instrumentation*; D008962:Models, Theoretical; D020349:Surface Plasmon Resonance / Q000295:instrumentation*