Modeling of three-dimensional photonic crystal lasers in a frequency domain: A scattering matrix solution

TitleModeling of three-dimensional photonic crystal lasers in a frequency domain: A scattering matrix solution
Publication TypeJournal Article
Year of Publication2008
AuthorsHu XH, Cao JR, Li M, Ye Z, Miyawaki M, Ho KM
Journal TitlePhysical Review B
Volume77
Pages205104
Date PublishedMay
Type of ArticleArticle
ISBN Number1098-0121
Accession NumberISI:000256971800021
KeywordsAMPLIFICATION, light, LOCALIZATION, media, NANOCAVITY, SPONTANEOUS EMISSION, system
Abstract

We derive a light-intensity-dependent dielectric constant for a gain medium based on the conventional rate equation model. A scattering-matrix method in conjunction with an efficient iteration procedure is proposed to simulate photonic crystal lasers (PCLs). The light output vs pumping (L-I) curve, lasing mode profile, and chirping effect of the lasing wavelength XL can be calculated. We check our method in a one dimensional distributed Bragg reflector laser and simulate a complex three dimensional woodpile PCL to test the capabilities of our model. We found that PCLs with a more uniform field distribution in the gain media will have higher L-I slope efficiencies as well as more stable lasing wavelengths lambda(L).

DOI10.1103/PhysRevB.77.205104
Alternate JournalPhys. Rev. B