We study the lasing eigenvalue problems for a periodic open optical resonator made of an infinite grating of circular dielectric cylinders standing in free space, in the E- and H-polarization modes. If possessing a “negative-absorption” refractive index, such cylinders model a chain of quantum wires made of the gain material under pumping. The initial-guess values for the lasing frequencies are provided by the plane-wave scattering problems. We demonstrate a new effect: the existence of specific grating eigenmodes that have a low threshold of lasing even if the wires are optically very thin.
© 2010 Optical Society of America
Lasers and Laser Optics
Original Manuscript: January 26, 2010
Revised Manuscript: June 25, 2010
Manuscript Accepted: July 14, 2010
Published: October 26, 2010
Volodymyr O. Byelobrov, Jiri Ctyroky, Trevor M. Benson, Ronan Sauleau, Ayhan Altintas, and Alexander I. Nosich, "Low-threshold lasing eigenmodes of an infinite periodic chain of quantum wires," Opt. Lett. 35, 3634-3636 (2010)