Abstract

A combination of the plane-wave expansion method with the effective-index approximation is presented, which allows vectorial properties of electromagnetic field in three-dimensional structures to be considered. I formulate mathematical equations that are the basis of this combined approach, and then I show the simulation of the optical properties of oxide-confined vertical-cavity surface-emitting lasers (VCSELs). The results are compared with the ones obtained with the classical effective-index method and with the fully vectorial plane-wave admittance method. Next the semivectorial properties of the new model are utilized to analyze a birefringent VCSEL structure.

© 2009 Optical Society of America

Theoretical optimization of transverse waveguiding in oxide-confined VCSELs with internal photonic crystals

Pavel Ivanov and Judy Rorison
J. Opt. Soc. Am. B 26(12) 2461-2468 (2009)

Comprehensive theory of plane-wave expansion based eigenmode method for scattering-matrix analysis of photonic structures

Vivek Krishnamurthy and Benjamin Klein
J. Opt. Soc. Am. B 26(7) 1341-1350 (2009)

Convergence analysis of various factorization rules in the Fourier-Bessel basis for solving Maxwell equations using modal methods

Maciej Dems
Opt. Express 29(3) 4378-4391 (2021)

Numerical Methods for modeling Photonic-Crystal VCSELs

Maciej Dems, Il-Sug Chung, Péter Nyakas, Svend Bischoff, and Krassimir Panajotov
Opt. Express 18(15) 16042-16054 (2010)

Semivectorial H-field analysis of rib waveguides by a modified beam-propagation method based on the generalized Douglas scheme

Junji Yamauchi, Toshiyuki Murata, and Hisamatsu Nakano
Opt. Lett. 25(24) 1771-1773 (2000)