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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 18, Iss. 9 — Sep. 1, 2001
  • pp: 1268–1284

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

S. Riyopoulos, D. Dialetis, J. Inman, and A. Phillips  »View Author Affiliations


JOSA B, Vol. 18, Issue 9, pp. 1268-1284 (2001)
http://dx.doi.org/10.1364/JOSAB.18.001268


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Abstract

Gain-guided eigenmodes in open vertical-cavity surface-emitting laser cavities are constructed by superposition of paraxial (i.e., Gauss–Laguerre) modes employing the unfolded-cavity hard-mirror equivalent to distributed Bragg reflectors. The round-trip matrix is obtained analytically for simple gain 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 terms 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 simple variational principle. The Gaussian nature of the cavity modes is confirmed by comparison with experiments. Finally, the new eigenmode properties self-consistently account for wavelength blueshifting and reduction in the mode waist with increasing bias current, without invoking index guiding.

© 2001 Optical Society of America

OCIS Codes
(230.3670) Optical devices : Light-emitting diodes
(250.7260) Optoelectronics : Vertical cavity surface emitting lasers
(260.2110) Physical optics : Electromagnetic optics

Citation
S. Riyopoulos, D. Dialetis, J. Inman, and A. Phillips, "Active-cavity vertical-cavity surface-emitting laser eigenmodes with simple analytic representation," J. Opt. Soc. Am. B 18, 1268-1284 (2001)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-18-9-1268


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References

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