Effective index model predicts modal frequencies of verticalcavity lasers
Abstract
Previously, an effective index optical model was introduced for the analysis of lateral waveguiding effects in verticalcavity surfaceemitting lasers. The authors show that the resultant transverse equation is almost identical to the one typically obtained in the analysis of dielectric waveguide problems, such as a stepindex optical fiber. The solution to the transverse equation yields the lateral dependence of the optical field and, as is recognized in this paper, the discrete frequencies of the microcavity modes. As an example, they apply this technique to the analysis of verticalcavity lasers that contain thinoxide apertures. The model intuitively explains the experimental data and makes quantitative predictions in good agreement with a highly accurate numerical model.
 Authors:
 Publication Date:
 Research Org.:
 Sandia National Labs., Albuquerque, NM (US)
 Sponsoring Org.:
 US Department of Energy (US)
 OSTI Identifier:
 754323
 Report Number(s):
 SAND20000985J; 0000035160000
0000035160000; TRN: AH200016%%216
 DOE Contract Number:
 AC0494AL85000
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Applied Physics Letters; Other Information: Submitted to Applied Physics Letters; PBD: 18 Apr 2000
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; SEMICONDUCTOR LASERS; MATHEMATICAL MODELS; LASER CAVITIES; LASER MATERIALS; OSCILLATION MODES
Citation Formats
SERKLAND,DARWIN K., HADLEY,G. RONALD, CHOQUETTE,KENT D., GEIB,KENT M., and ALLERMAN,ANDREW A. Effective index model predicts modal frequencies of verticalcavity lasers. United States: N. p., 2000.
Web. doi:10.1063/1.126864.
SERKLAND,DARWIN K., HADLEY,G. RONALD, CHOQUETTE,KENT D., GEIB,KENT M., & ALLERMAN,ANDREW A. Effective index model predicts modal frequencies of verticalcavity lasers. United States. doi:10.1063/1.126864.
SERKLAND,DARWIN K., HADLEY,G. RONALD, CHOQUETTE,KENT D., GEIB,KENT M., and ALLERMAN,ANDREW A. 2000.
"Effective index model predicts modal frequencies of verticalcavity lasers". United States.
doi:10.1063/1.126864. https://www.osti.gov/servlets/purl/754323.
@article{osti_754323,
title = {Effective index model predicts modal frequencies of verticalcavity lasers},
author = {SERKLAND,DARWIN K. and HADLEY,G. RONALD and CHOQUETTE,KENT D. and GEIB,KENT M. and ALLERMAN,ANDREW A.},
abstractNote = {Previously, an effective index optical model was introduced for the analysis of lateral waveguiding effects in verticalcavity surfaceemitting lasers. The authors show that the resultant transverse equation is almost identical to the one typically obtained in the analysis of dielectric waveguide problems, such as a stepindex optical fiber. The solution to the transverse equation yields the lateral dependence of the optical field and, as is recognized in this paper, the discrete frequencies of the microcavity modes. As an example, they apply this technique to the analysis of verticalcavity lasers that contain thinoxide apertures. The model intuitively explains the experimental data and makes quantitative predictions in good agreement with a highly accurate numerical model.},
doi = {10.1063/1.126864},
journal = {Applied Physics Letters},
number = ,
volume = ,
place = {United States},
year = 2000,
month = 4
}

Previously, an effectiveindex optical model was introduced for the analysis of lateral waveguiding effects in verticalcavity surfaceemitting lasers. We show that the resultant transverse equation obtained in that model is almost identical to the one typically obtained in the analysis of dielectric waveguide problems, such as a stepindex optical fiber. In this letter, we extend the effectiveindex model to obtain predictions of the discrete frequencies of the microcavity modes. As an example, we apply the analysis to verticalcavity lasers that contain thinoxide apertures. The model intuitively explains our experimental data and makes quantitative predictions in good agreement with a highlymore »

Effective index model for verticalcavity surfaceemitting lasers
A new effective index optical model is presented for the analysis of lateral waveguiding effects in verticalcavity surfaceemitting lasers. In addition to providing a concise formalism for reducing the dimensionality of the Maxwell equations describing the lasing mode, this model also provides new insights into waveguiding phenomena in verticalcavity lasers. In particular, it is shown that the effective index responsible for waveguiding is dependent only on lateral changes in the FabryPerot resonance frequency. This concept leads naturally to new design methods for these lasers that are expected to result in more efficient devices with superior modal characteristics. {copyright} 1995 Opticalmore » 
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