Amplifying properties of two-dimensional photonic-crystal structures that contain active media

Козина О.Н., Мельников Л.А. Усиливающие свойства двумерных фотонно-кристаллических структур, содержащих активные среды // Оптический журнал. 2009. Т. 76. № 11. С. 17–21.

Kozina O.N., Melnikov L.A. Amplifying properties of two-dimensional photonic-crystal structures that contain active media [in Russian] // Opticheskii Zhurnal. 2009. V. 76. № 11. P. 17–21.

O. N. Kozina and L. A. Mel’nikov, "Amplifying properties of two-dimensional photonic-crystal structures that contain active media," Journal of Optical Technology. 76 (11), 685-688 (2009). https://doi.org/10.1364/JOT.76.000685

This paper theoretically investigates and numerically models the optical properties of an artificial two-dimensional photonic crystal formed by glass nanofilaments doped with Nd ions and periodically ordered in a dielectric matrix. This investigation is based on two different methods: the method of transfer matrices, and the method of expanding the field in plane waves. The main optical characteristics that make it possible to judge the amplifying properties of a photonic crystal--the transmission and reflection spectra--are studied in detail. It is shown that the lasing-threshold conditions of the structures investigated here are achieved by choosing their optical characteristics.