### Abstract

The empty-cavity electromagnetic eigenmodes of vertical- cavity surface-emitting lasers, including light-vector polarization properties, are calculated from Maxwell equations in cylindrical symmetry. The electromagnetic field in each layer is expanded into local modes of the corresponding cylindrical waveguide and the vectorial transform matrix method is used to calculate the light propagation through the structure. A simplified approach for the case of uncoupled modes is also formulated. For the cavity geometry under consideration the resonant frequencies of eigenmodes predicted within the CMA agree very well with results of exact calculations. The presented method for the empty-cavity eigenmode determination may be useful for future calculations of a steady-state laser models with semiconductor material gain parameters and carriers and temperature diffusion processes taken into account.

Original language | English (US) |
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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Publisher | Society of Photo-Optical Instrumentation Engineers |

Pages | 159-167 |

Number of pages | 9 |

Volume | 2994 |

ISBN (Print) | 0819424056 |

State | Published - 1997 |

Event | Physics and Simulation of Optoelectronic Devices V - San Jose, CA, USA Duration: Feb 10 1997 → Feb 14 1997 |

### Other

Other | Physics and Simulation of Optoelectronic Devices V |
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City | San Jose, CA, USA |

Period | 2/10/97 → 2/14/97 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Condensed Matter Physics

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*(Vol. 2994, pp. 159-167). Society of Photo-Optical Instrumentation Engineers.

**Theoretical study of electromagnetic eigenmodes of VCSELs.** / Burak, Dariusz; Binder, Rudolf.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of SPIE - The International Society for Optical Engineering.*vol. 2994, Society of Photo-Optical Instrumentation Engineers, pp. 159-167, Physics and Simulation of Optoelectronic Devices V, San Jose, CA, USA, 2/10/97.

}

TY - GEN

T1 - Theoretical study of electromagnetic eigenmodes of VCSELs

AU - Burak, Dariusz

AU - Binder, Rudolf

PY - 1997

Y1 - 1997

N2 - The empty-cavity electromagnetic eigenmodes of vertical- cavity surface-emitting lasers, including light-vector polarization properties, are calculated from Maxwell equations in cylindrical symmetry. The electromagnetic field in each layer is expanded into local modes of the corresponding cylindrical waveguide and the vectorial transform matrix method is used to calculate the light propagation through the structure. A simplified approach for the case of uncoupled modes is also formulated. For the cavity geometry under consideration the resonant frequencies of eigenmodes predicted within the CMA agree very well with results of exact calculations. The presented method for the empty-cavity eigenmode determination may be useful for future calculations of a steady-state laser models with semiconductor material gain parameters and carriers and temperature diffusion processes taken into account.

AB - The empty-cavity electromagnetic eigenmodes of vertical- cavity surface-emitting lasers, including light-vector polarization properties, are calculated from Maxwell equations in cylindrical symmetry. The electromagnetic field in each layer is expanded into local modes of the corresponding cylindrical waveguide and the vectorial transform matrix method is used to calculate the light propagation through the structure. A simplified approach for the case of uncoupled modes is also formulated. For the cavity geometry under consideration the resonant frequencies of eigenmodes predicted within the CMA agree very well with results of exact calculations. The presented method for the empty-cavity eigenmode determination may be useful for future calculations of a steady-state laser models with semiconductor material gain parameters and carriers and temperature diffusion processes taken into account.

UR - http://www.scopus.com/inward/record.url?scp=0031355265&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031355265&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0031355265

SN - 0819424056

VL - 2994

SP - 159

EP - 167

BT - Proceedings of SPIE - The International Society for Optical Engineering

PB - Society of Photo-Optical Instrumentation Engineers

ER -