Cold-cavity vectorial eigenmodes of VCSEL's

D. Burak; R. Binder

doi:10.1109/3.594886

Cold-cavity vectorial eigenmodes of VCSEL's

D. Burak, R. Binder

Research output: Contribution to journal › Article › peer-review

86 Scopus citations

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 language	English (US)
Pages (from-to)	1205-1215
Number of pages	11
Journal	IEEE Journal of Quantum Electronics
Volume	33
Issue number	7
DOIs	https://doi.org/10.1109/3.594886
State	Published - Jul 1997

Keywords

Distributed Bragg reflector lasers
Optical fiber polarization
Semiconductor lasers

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1109/3.594886

Cite this

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title = "Cold-cavity vectorial eigenmodes of VCSEL's",

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.",

keywords = "Distributed Bragg reflector lasers, Optical fiber polarization, Semiconductor lasers",

author = "D. Burak and R. Binder",

note = "Funding Information: Manuscript received November 8, 1996; revised February 24, 1997. This work was supported in part by the Joint Services Optics Program (JSOP), the Airforce Research Office (ARO), the Kosciuszko Foundation, Rome Research Laboratory through the State University of New York, and from COEDIP (University of Arizona).",

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T1 - Cold-cavity vectorial eigenmodes of VCSEL's

AU - Burak, D.

AU - Binder, R.

N1 - Funding Information: Manuscript received November 8, 1996; revised February 24, 1997. This work was supported in part by the Joint Services Optics Program (JSOP), the Airforce Research Office (ARO), the Kosciuszko Foundation, Rome Research Laboratory through the State University of New York, and from COEDIP (University of Arizona).

PY - 1997/7

Y1 - 1997/7

N2 - 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.

AB - 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.

KW - Distributed Bragg reflector lasers

KW - Optical fiber polarization

KW - Semiconductor lasers

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Cold-cavity vectorial eigenmodes of VCSEL's

Abstract

Keywords

ASJC Scopus subject areas

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