### Abstract

Original language | English |
---|---|

Journal | I E E E Transactions on Antennas and Propagation |

Volume | 59 |

Issue number | 11 |

Pages (from-to) | 4155-4161 |

ISSN | 0018-926X |

DOIs | |

Publication status | Published - 2011 |

### Keywords

- Q-factor
- Finite-difference frequency-domain (FDFD) method
- Perfectly matched layer (PML)

### Cite this

*I E E E Transactions on Antennas and Propagation*,

*59*(11), 4155-4161. https://doi.org/10.1109/TAP.2011.2164215

}

*I E E E Transactions on Antennas and Propagation*, vol. 59, no. 11, pp. 4155-4161. https://doi.org/10.1109/TAP.2011.2164215

**Modeling of Nanophotonic Resonators with the Finite-Difference Frequency-Domain Method.** / Ivinskaya, Aliaksandra; Lavrinenko, Andrei; Shyroki, Dzmitry.

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

TY - JOUR

T1 - Modeling of Nanophotonic Resonators with the Finite-Difference Frequency-Domain Method

AU - Ivinskaya, Aliaksandra

AU - Lavrinenko, Andrei

AU - Shyroki, Dzmitry

PY - 2011

Y1 - 2011

N2 - Finite-difference frequency-domain method with perfectly matched layers and free-space squeezing is applied to model open photonic resonators of arbitrary morphology in three dimensions. Treating each spatial dimension independently, nonuniform mesh of continuously varying density can be built easily to better resolve mode features. We explore the convergence of the eigenmode wavelength $lambda $ and quality factor $Q$ of an open dielectric sphere and of a very-high- $Q$ photonic crystal cavity calculated with different mesh density distributions. On a grid having, for example, 10 nodes per lattice constant in the region of high field intensity, we are able to find the eigenwavelength $lambda $ with a half-percent precision and the $Q$-factor with an order-of-magnitude accuracy. We also suggest the $lambda /n$ rule (where $n$ is the cavity refractive index) for the optimal cavity-to-PML distance.

AB - Finite-difference frequency-domain method with perfectly matched layers and free-space squeezing is applied to model open photonic resonators of arbitrary morphology in three dimensions. Treating each spatial dimension independently, nonuniform mesh of continuously varying density can be built easily to better resolve mode features. We explore the convergence of the eigenmode wavelength $lambda $ and quality factor $Q$ of an open dielectric sphere and of a very-high- $Q$ photonic crystal cavity calculated with different mesh density distributions. On a grid having, for example, 10 nodes per lattice constant in the region of high field intensity, we are able to find the eigenwavelength $lambda $ with a half-percent precision and the $Q$-factor with an order-of-magnitude accuracy. We also suggest the $lambda /n$ rule (where $n$ is the cavity refractive index) for the optimal cavity-to-PML distance.

KW - Q-factor

KW - Finite-difference frequency-domain (FDFD) method

KW - Perfectly matched layer (PML)

U2 - 10.1109/TAP.2011.2164215

DO - 10.1109/TAP.2011.2164215

M3 - Journal article

VL - 59

SP - 4155

EP - 4161

JO - I E E E Transactions on Antennas and Propagation

JF - I E E E Transactions on Antennas and Propagation

SN - 0018-926X

IS - 11

ER -