Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/14268
Title: Numerical simulations of nanostructural photonic crystals
Authors: SUN YAN
Keywords: Finite-Difference Time-Domain method, Photonic band gap, Photonic-crystal slab, Lorentz dielectric, Transmission coefficient, Band structure.
Issue Date: 11-Dec-2004
Source: SUN YAN (2004-12-11). Numerical simulations of nanostructural photonic crystals. ScholarBank@NUS Repository.
Abstract: A three-dimensional Finite-Difference Time-Domain (FDTD) technique is implemented to calculate transmission spectra of finite-size dielectric photonic-crystal slabs, including a square lattice, two triangular lattices, a square lattice with periodic backgrounds and a triangular lattice with a point defect. The simulation results for the remarkable band gaps agree well with references. Based on the direct-integration method, a frequency-dependent FDTD formulation is extended into a parametric and comparative study of the linearly dispersive Lorentz dielectric that shows a consequent dramatic increase in the band-gap size when the characteristic parameters of the second-order relaxation equation are varied.The MIT Photonic-Bands (MPB) package is also used to calculate band structures of two-dimensional periodic dielectric photonic structures, including a multi-permittivity square lattice, a multi-radius square lattice and a multi-period square lattice. Compared with the three-dimensional FDTD method, the two-dimensional MPB simulation results are found to be sufficiently accurate for the design of novel three-dimensional structures.
URI: http://scholarbank.nus.edu.sg/handle/10635/14268
Appears in Collections:Master's Theses (Open)

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