Analysis of vector LP modes in VCSELs using the effective frequency method

The effective frequency method (EFM) is generalized to the case of vector analysis of LP modes in VCSELs and applied to proton-implanted and oxide-confined VCSEL structures. Resonant wavelengths and mode profiles of a number of vector LP modes are calculated for different values of active region radius. The vector EFM is shown to provide important information about the vertical and radial components of the energy flux inside the laser structure. The maximum values for 'weak' Ez and 'strong' Ex components of the electrical field within the laser structure are calculated. Their intensity ratio in the 'near-cutoff' situation is suggested as a quantitative verification of weak-guiding assumption in VCSELs, on which the derivation of the EFM was based.

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