### Abstract

Original language | English |
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Title of host publication | Proceedings of the 13th International Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM) |

Editors | X. Letartre |

Place of Publication | Lyon |

Publisher | Ecole Centrale de Lyon |

Pages | - |

Number of pages | 1 |

ISBN (Print) | not assigned |

Publication status | Published - Apr 2005 |

Event | 13th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2005 - Grenoble, France Duration: 8 Apr 2005 → 9 Apr 2005 Conference number: 13 https://www.owtnm-workshop.org/ |

### Conference

Conference | 13th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2005 |
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Abbreviated title | OWTNM |

Country | France |

City | Grenoble |

Period | 8/04/05 → 9/04/05 |

Internet address |

### Fingerprint

### Keywords

- Transparent-Influx Boundary Conditions
- IR-65067
- METIS-226040
- Finite Element Method
- Helmholtz problems
- Dirichlet-to-Neumann operator
- Photonic crystals
- hybrid analytic-numeric method
- EWI-13931

### Cite this

*Proceedings of the 13th International Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM)*(pp. -). Lyon: Ecole Centrale de Lyon.

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*Proceedings of the 13th International Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM).*Ecole Centrale de Lyon, Lyon, pp. -, 13th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2005, Grenoble, France, 8/04/05.

**On an application of a 2D transparent-influx boundary condition for photonic crystals.** / Nicolau, J.B.; Sopaheluwakan, A.; van Groesen, Embrecht W.C.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - On an application of a 2D transparent-influx boundary condition for photonic crystals

AU - Nicolau, J.B.

AU - Sopaheluwakan, A.

AU - van Groesen, Embrecht W.C.

PY - 2005/4

Y1 - 2005/4

N2 - We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerically calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate Transparent-Influx Boundary Conditions (TIBC’s) on the boundaries of the square; these are incorporated into a variational formulation of the Helmholtz equation to obtain a FEM-implementation for the interior calculations. We illustrate the method for a two-dimensional finite photonic crystal formed by dielectric rods with a defect, and study the response of the structure for given influx.

AB - We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerically calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate Transparent-Influx Boundary Conditions (TIBC’s) on the boundaries of the square; these are incorporated into a variational formulation of the Helmholtz equation to obtain a FEM-implementation for the interior calculations. We illustrate the method for a two-dimensional finite photonic crystal formed by dielectric rods with a defect, and study the response of the structure for given influx.

KW - Transparent-Influx Boundary Conditions

KW - IR-65067

KW - METIS-226040

KW - Finite Element Method

KW - Helmholtz problems

KW - Dirichlet-to-Neumann operator

KW - Photonic crystals

KW - hybrid analytic-numeric method

KW - EWI-13931

M3 - Conference contribution

SN - not assigned

SP - -

BT - Proceedings of the 13th International Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM)

A2 - Letartre, X.

PB - Ecole Centrale de Lyon

CY - Lyon

ER -