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

Aliaksandra Ivinskaya, Andrei Lavrinenko, Dzmitry Shyroki

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

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.
Original languageEnglish
JournalI E E E Transactions on Antennas and Propagation
Volume59
Issue number11
Pages (from-to)4155-4161
ISSN0018-926X
DOIs
Publication statusPublished - 2011

Keywords

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

Cite this

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title = "Modeling of Nanophotonic Resonators with the Finite-Difference Frequency-Domain Method",
abstract = "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.",
keywords = "Q-factor, Finite-difference frequency-domain (FDFD) method, Perfectly matched layer (PML)",
author = "Aliaksandra Ivinskaya and Andrei Lavrinenko and Dzmitry Shyroki",
year = "2011",
doi = "10.1109/TAP.2011.2164215",
language = "English",
volume = "59",
pages = "4155--4161",
journal = "I E E E Transactions on Antennas and Propagation",
issn = "0018-926X",
publisher = "Institute of Electrical and Electronics Engineers",
number = "11",

}

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

In: I E E E Transactions on Antennas and Propagation, Vol. 59, No. 11, 2011, p. 4155-4161.

Research output: Contribution to journalJournal articleResearchpeer-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 -