Browsing 01 Mathematical Sciences by Author "Langtry Timothy"

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Browsing 01 Mathematical Sciences by Author "Langtry Timothy"

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  • An application of Diophantine approximation to the construction of rank-1 lattice quadrature rules 
    Langtry Timothy (American Mathematical Society, 1996)
    Lattice quadrature rules were introduced by Frolov (1977), Sloan (1985) and Sloan and Kachoyan (1987). They are quasi-Monte Carlo rules for the approximation of integrals over the unit cube in R(s) and are generalizations ...
  • Computational modelling of photonic crystals 
    Asatryan Ara; Byrne Michael; Langtry Timothy; Bourgeois Antonin; Mcphedran Ross; Botten Lindsay (Australian Partnership for Advanced Computing (APAC), 2003)
    Photonic crystals (PC) are a novel class of complex materials which have properties that make them the optical analogues of semiconductors. Accordingly, PCs will likely be key building blocks for future micro-optical and ...
  • A construction of higher-rank lattice rules 
    Langtry Timothy (Elsevier, 2001)
    Lattice rules are quasi-Monte Carlo methods for numerical multiple integration that are based on the selection of an s-dimensional integration lattice. The abscissa set is the intersection of the integration lattice with ...
  • Effects of Disorder in Photonic Crystal Waveguides 
    Botten Lindsay; De Sterke C; Langtry Timothy; Asatryan Ara; Mcphedran Ross (Australian Institute of Physics, 2002)
    Waveguides may be formed in photonic crystals (operated in a band gap) by removing a line of scatterers. The utility of photonic crystals in the future development of optical circuits will be dependent on fabrication ...
  • Lattice rules of minimal and maximal rank with good figures of merit 
    Langtry Timothy (Elsevier, 1999)
    For periodic integrands with unit period in each variable, certain error bounds for lattice rules are conveniently characterised by the figure of merit rho, which was originally introduced in the context of number theoretic ...
  • Local Density of States Calculations for Photonic Crystals 
    Langtry Timothy; Botten Lindsay; Asatryan Ara; Mcphedran Ross (Queensland Parallel Supercomputing Facilty and Australian Partnership for Advasnced Computing, 2001)
    Photonic crystals are a novel class of optical materials that, almost certainly, will underpin major advances in future communication and computer technology. In a photonic crystal, the periodic distribution of refractive ...
  • Localisation and disorder in the design of 2D photonic crystal devices 
    Botten Lindsay; Asatryan Ara; Byrne Michael; Bourgeois Antonin; Langtry Timothy (CSIRO Publishing, 2005)
    Photonic crystals are meta-materials that can inhibit the propagation of light in all directions for specific wavelength ranges. Material or structural defects can be introduced into the crystal to cause localised modes, ...
  • Monte Carlo modelling of imperfections in two-dimensional photonic crystals 
    Langtry Timothy; Botten Lindsay; Asatryan Ara; Mcphedran Ross (Elsevier Science, 2003)
  • Photonic bandgap effects as a basis for novel compact devices 
    White Tom; Mcphedran Ross; De Sterke C; Asatryan Ara; Langtry Timothy; Botten Lindsay (COIN/ACOFT 2003, 2003)
    Photonic crystals offer the opportunity to design ultra-compact optical devices. Here we consider the "folded directional coupler," which combines elements of a directional coupler and a Fabry-Perot interferometer. This ...
  • Propagation of Photonic Crystal Waveguides 
    Asatryan Ara; Langtry Timothy; Botten Lindsay; De Sterke C; Mcphedran Ross (Australian Institute of Physics, 2002)
    An essential component in the design and fabrication of large scale integrated optical circuits is the photonic crystal (PC) waveguide, a device which can channel light, with minimal loss, around tight bends using band ...