Byelobrov, V. O.Benson, T. M.Sewell, P.Altıntaş, AyhanNosich, A. I.2016-02-082016-02-082009-06-07http://hdl.handle.net/11693/28682Date of Conference: 28 June-2 July 2009Conference name: 11th International Conference on Transparent Optical Networks, 2009In this paper, we study the scattering and eigenvalue problems for a periodic open optical resonator that is an infinite chain of active circular cylindrical quantum wires standing in free space. The scattering problem is solved by the method of partial separation of variables. The eigenvalue problem differs from the first one by the absence of the incident field and presence of "active properties" of cylinders and yields the frequencies and thresholds of lasing. ©2009 IEEE.EnglishEigenproblemFloquet seriesLaserMicrocavityQuantum wireScatteringThresholdEigenvalue problemFree spaceIncident fieldsInfinite chainsLasing modesPartial separationPeriodic chainsQuantum wiresScattering problemsEigenvalues and eigenfunctionsIndium compoundsMicrocavitiesNanowiresOptical materialsSemiconductor quantum wiresSwitching systemsWireTransparent optical networksConference Paper10.1109/ICTON.2009.5185155