Finite-element analysis of photonic Crystal cavities: time and frequency domains

Finite-element analysis in time and frequency domains using perfectly matched layers and isoparametric curvilinear elements for finite-size photonic-crystal (PC) cavities is presented in this paper. The time-domain approach includes current sources, the full band scheme, and the slowly varying envel...

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Bibliographic Details
Published in:Journal of lightwave technology 2005-03, Vol.23 (3), p.1514-1521
Main Authors: Rodriguez-Esquerre, V.F., Koshiba, M., Hernandez-Figueroa, H.E.
Format: Article
Language:English
Subjects:
Approximation
Boundary conditions
Cavity resonator
Computational modeling
Exact sciences and technology
Finite element method
Finite element methods
finite-element method (FEM)
Frequency domain analysis
Frequency domains
Fundamental areas of phenomenology (including applications)
Holes
isoparametric element
Mathematical analysis
Optical materials
Optics
Perfectly matched layers
Photonic bandgap materials
photonic crystal (PC)
Photonic crystals
Physics
Q factor
Resonance
Resonant frequency
Strategy
Time domain analysis
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Summary:Finite-element analysis in time and frequency domains using perfectly matched layers and isoparametric curvilinear elements for finite-size photonic-crystal (PC) cavities is presented in this paper. The time-domain approach includes current sources, the full band scheme, and the slowly varying envelope approximation; consequently, bigger time steps can be used independent of the size of the elements. The resonant frequency, quality factor, effective modal area, and field distribution for each mode can be obtained in a single simulation. A strategy to compute the higher resonant modes by using only a quarter of the cavity and adequate boundary conditions is also presented.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2005.843441