Numerical methods for modeling photonic-crystal VCSELs

Maciej Dems; Il-Sug Chung; Peter Nyakas; Svend Bischoff; Krassimir Panajotov

doi:10.1364/OE.18.016042

Numerical methods for modeling photonic-crystal VCSELs

Maciej Dems
, Il-Sug Chung
, Peter Nyakas
, Svend Bischoff
, Krassimir Panajotov

Lodz University of Technology
Furukawa Electric Institute of Technology Ltd.
Vrije Universiteit Brussel

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

We show comparison of four different numerical methods for simulating Photonic-Crystal (PC) VCSELs. We present the theoretical basis behind each method and analyze the differences by studying a benchmark VCSEL structure, where the PC structure penetrates all VCSEL layers, the entire top-mirror DBR, a fraction of the top-mirror DBR or just the VCSEL cavity. The different models are evaluated by comparing the predicted resonance wavelengths and threshold gains for different hole diameters and pitches of the PC. The agreement between the models is relatively good, except for one model, which corresponds to the effective index method. The simulation results elucidate the strength and weaknesses of the analyzed methods; and outline the limits of applicability of the different models.

Original language	English
Journal	Optics Express
Volume	18
Issue number	15
Pages (from-to)	16042-16054
ISSN	1094-4087
DOIs	https://doi.org/10.1364/OE.18.016042
Publication status	Published - 2010

Bibliographical note

This paper was published in Optics Express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-18-15-16042. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

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title = "Numerical methods for modeling photonic-crystal VCSELs",

abstract = "We show comparison of four different numerical methods for simulating Photonic-Crystal (PC) VCSELs. We present the theoretical basis behind each method and analyze the differences by studying a benchmark VCSEL structure, where the PC structure penetrates all VCSEL layers, the entire top-mirror DBR, a fraction of the top-mirror DBR or just the VCSEL cavity. The different models are evaluated by comparing the predicted resonance wavelengths and threshold gains for different hole diameters and pitches of the PC. The agreement between the models is relatively good, except for one model, which corresponds to the effective index method. The simulation results elucidate the strength and weaknesses of the analyzed methods; and outline the limits of applicability of the different models.",

author = "Maciej Dems and Il-Sug Chung and Peter Nyakas and Svend Bischoff and Krassimir Panajotov",

note = "This paper was published in Optics Express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-18-15-16042. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.",

year = "2010",

doi = "10.1364/OE.18.016042",

language = "English",

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T1 - Numerical methods for modeling photonic-crystal VCSELs

AU - Dems, Maciej

AU - Chung, Il-Sug

AU - Nyakas, Peter

AU - Bischoff, Svend

AU - Panajotov, Krassimir

N1 - This paper was published in Optics Express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-18-15-16042. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

PY - 2010

Y1 - 2010

N2 - We show comparison of four different numerical methods for simulating Photonic-Crystal (PC) VCSELs. We present the theoretical basis behind each method and analyze the differences by studying a benchmark VCSEL structure, where the PC structure penetrates all VCSEL layers, the entire top-mirror DBR, a fraction of the top-mirror DBR or just the VCSEL cavity. The different models are evaluated by comparing the predicted resonance wavelengths and threshold gains for different hole diameters and pitches of the PC. The agreement between the models is relatively good, except for one model, which corresponds to the effective index method. The simulation results elucidate the strength and weaknesses of the analyzed methods; and outline the limits of applicability of the different models.

AB - We show comparison of four different numerical methods for simulating Photonic-Crystal (PC) VCSELs. We present the theoretical basis behind each method and analyze the differences by studying a benchmark VCSEL structure, where the PC structure penetrates all VCSEL layers, the entire top-mirror DBR, a fraction of the top-mirror DBR or just the VCSEL cavity. The different models are evaluated by comparing the predicted resonance wavelengths and threshold gains for different hole diameters and pitches of the PC. The agreement between the models is relatively good, except for one model, which corresponds to the effective index method. The simulation results elucidate the strength and weaknesses of the analyzed methods; and outline the limits of applicability of the different models.

U2 - 10.1364/OE.18.016042

DO - 10.1364/OE.18.016042

M3 - Journal article

SN - 1094-4087

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SP - 16042

EP - 16054

JO - Optics Express

JF - Optics Express

IS - 15

ER -

Numerical methods for modeling photonic-crystal VCSELs

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