Journal article
Modeling of Nanophotonic Resonators with the Finite-Difference Frequency-Domain Method
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.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2011 |
| Pages: | 4155-4161 |
| ISSN: | 15582221 and 0018926x |
| Types: | Journal article |
| DOI: | 10.1109/TAP.2011.2164215 |
| ORCIDs: | Lavrinenko, Andrei |
<formula formulatype="inline"><tex Notation="TeX">$Q$</tex></formula>-factor Cavity resonators Computational modeling Finite difference methods Frequency domain analysis Photonics Q factor Three dimensional displays eigenmode wavelength finite difference methods finite-difference frequency-domain method free-space squeezing lattice constant mesh density distributions nanophotonic resonators nanophotonics open dielectric sphere optical resonators perfectly matched layer (PML) perfectly matched layers photonic crystal cavity photonic crystals quality factor
