Cold-cavity vectorial eigenmodes of VCSEL's

D. Burak, Rudolf Binder

Research output: Contribution to journalArticle

78 Citations (Scopus)

Abstract

An analytical approximate solution of Maxwell's equations for the cold-cavity eigenmodes of cylindrical etched air-post vertical-cavity surface-emitting lasers (VCSEL's) is presented. In radial and azimuthal directions, the modes correspond to the hybrid modes of cylindrical optical waveguides. A vectorial transform matrix approach is derived which takes into account coupling of bound eigenmodes in VCSEL structures. The method is illustrated for the case of noncoupled modes and the corresponding simplified transform matrix approach is used to calculate the field profiles in longitudinal direction and predict the resonance wavelengths for the VCSEL eigenmodes. Although approximate, the resulting eigenmodes may be viewed as a useful alternative to full numerical solutions, especially with regard to future more comprehensive modeling of VCSEL's.

Original languageEnglish (US)
Pages (from-to)1205-1215
Number of pages11
JournalIEEE Journal of Quantum Electronics
Volume33
Issue number7
DOIs
StatePublished - Jul 1997

Fingerprint

Surface emitting lasers
surface emitting lasers
cavities
Circular waveguides
Maxwell equations
Optical waveguides
matrices
optical waveguides
Maxwell equation
Wavelength
Air
air
profiles
wavelengths

Keywords

  • Distributed Bragg reflector lasers
  • Optical fiber polarization
  • Semiconductor lasers

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Physics and Astronomy (miscellaneous)

Cite this

Cold-cavity vectorial eigenmodes of VCSEL's. / Burak, D.; Binder, Rudolf.

In: IEEE Journal of Quantum Electronics, Vol. 33, No. 7, 07.1997, p. 1205-1215.

Research output: Contribution to journalArticle

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