Paper
12 June 2002 Improved effective index method for oxide-confined VCSEL mode analysis
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Abstract
We propose a novel treatment that enhances the accuracy of the Effective Index Method (EIM) when used for gain-guided oxide-confined VCSELs. If a thin oxide is placed at or near a z-field null position, the diffraction caused by the oxide becomes negligible. Gain-guiding subsequently dominates and causes the EIM to break down. To circumvent this problem, we propose to use an artificial index-guided diffraction effect to simulate the gain-guided diffraction effect. This is achieved by increasing the oxide thickness and making a correction to the oxide index by taking a weighted sum between the original oxide index and the center region index at the oxide layer position. The weight is specifically chosen to be the mean z-field (normalized to its local z-field variation) at the position of the oxide. We show that this simple correction to the EIM successfully simulates the gain-guided diffraction effect and produces the correct transverse phase variation for oxide-apertured VCSELs when gain-guiding becomes the dominant mechanism. Therefore, the improved EIM is able to produce resonant wavelengths which are in excellent agreement to those of the vector Green's function method for the COST-268 VCSEL model, both in the gain-guided and index-guided regimes. Comparisons with an experimental model have also been made and excellent agreement is shown.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Wei-Choon Ng, Yang Liu, Benjamin Daniel Klein, and Karl Hess "Improved effective index method for oxide-confined VCSEL mode analysis", Proc. SPIE 4646, Physics and Simulation of Optoelectronic Devices X, (12 June 2002); https://doi.org/10.1117/12.470513
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Cited by 6 scholarly publications.
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KEYWORDS
Oxides

Vertical cavity surface emitting lasers

Electroluminescent displays

Quantum wells

Cladding

Gallium arsenide

Aluminum

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