Active-cavity vertical-cavity surface-emitting laser eigenmodes with simple analytic representation

Citation
S. Riyopoulos et al., Active-cavity vertical-cavity surface-emitting laser eigenmodes with simple analytic representation, J OPT SOC B, 18(9), 2001, pp. 1268-1284
Citations number
15
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
ISSN journal
0740-3224 → ACNP
Volume
18
Issue
9
Year of publication
2001
Pages
1268 - 1284
Database
ISI
SICI code
0740-3224(200109)18:9<1268:AVSLEW>2.0.ZU;2-P
Abstract
Gain-guided eigenmodes in open vertical-cavity surface-emitting laser cavit ies are constructed by superposition of paraxial (i.e., Gauss-Laguerre) mod es employing the unfolded-cavity hard-mirror equivalent to distributed Brag g reflectors. The round-trip matrix is obtained analytically for simple gai n profiles, including finite-mirror-size losses, diffraction spreading, and gain-confinement effects. Diagonalization. yields the full range of stable , unstable, and steady-state complex eigenmodes and gain eigenvalues, in te rms of the cavity parameters. More importantly, it is demonstrated that in cases of interest the lower-order cavity eigenmodes can be approximated by pure Gauss-Laguerre modes with optimum waist size prescribed through a simp le variational principle. The Gaussian nature of the cavity modes is confir med by comparison with experiments. Finally, the new eigenmode properties s elf-consistently account for wavelength blueshifting and reduction in the m ode waist with increasing bias current, without invoking index guiding. (C) 2001 Optical Society of America.